Fretboard Topologies - guitar scales and layouts

October 3, 2017 | Author: extratorrential | Category: Scale (Music), Mode (Music), Chord (Music), Pitch (Music), Musical Scales
Share Embed Donate


Short Description

Descripción: A visual manual to help getting to know your guitar fingerboard...

Description

fretboard topologies 1,117 scales and modes for guitar players by Nicholas Puryear

Version 1.04 rev120403 Copyright © 2010 Nicholas Puryear All rights reserved. www.fretboardtopologies.com

This book was composed with Microsoft Word and OpenOffice Writer (free download at OpenOffice.org). Fretboard diagrams were created with the Table function in Word, and scale-note and chord-note dots were created and positioned with the drawing tool and cut-and-paste function in Writer. Permutations of intervallic structures were calculated at http://juliusdavies.ca/andre/permutations.html. Copyright © 2010 Nicholas Puryear. All rights reserved.

fretboard topologies 1,117 scales and modes for guitar players ▪ Every five-note, six-note, and seven-note scale containing an interval no larger than a major third ▪ 266 harmonized 7-note scales with chords ▪ Selected 8-note scales

by Nicholas Puryear Version 1.04 rev120403 Copyright © 2010 Nicholas Puryear

foreword years ago as my personal guitar and music notebook. Over time, it grew and evolved to its present

Fretboard Topologies boo to compose, improvise, and explore the instrument. It provides a full accounting of 5-, 6-, and 7-note scales containing intervals no larger than a major third and selected 8-note scales, chiefly to account for the Bebop scales and the Diminished Scale. PDF is the ideal format for this book. You can print out some or all of it, slap it in a 3-ring binder, mark it up at will, and print clean replacement pages as needed.

guitar-playing friends you think might be interested.

Fretboard Topologies get it. Just click the Download tab at www.fretboardtopologies.com. Donate tab at the website if you want to help support the effort. The suggested contribution is $5, but all donations are gratefully accepted. Lastly, I proofed this book carefully, but like doctors who treat themselves as patients, authors make lousy proofreaders of their own work. I would be very grateful if you report misprints, typos, or other errors to [email protected] so I can correct them in subsequent versions.

contents Introduction

1

Part 1 (generally useful scales) Topology 5.1 (2,2,2,3,3)

6

Topology 7.1 (1,1,2,2,2,2,2)

9

Topology 7.2 (1,1,1,2,2,2,3)

17

Topology 7.3 (1,1,1,1,2,3,3)

59

Part 2 (somewhat less useful and in some cases downright useless scales) Topology 5.2 (1,2,2,3,4)

91

Topology 5.3 (1,1,2,4,4)

104

Topology 5.4 (1,1,3,3,4)

111

Topology 6.1 (1,2,2,2,2,3)

118

Topology 6.2 (1,1,2,2,3,3)

124

Topology 6.3 (1,1,2,2,2,4)

141

Topology 6.4 (1,1,1,2,3,4)

152

Topology 6.5 (1,1,1,3,3,3)

173

Topology 6.6 (1,1,1,1,4,4)

178

Topology 6.7 (2,2,2,2,2,2)

182

Topology 7.4 (1,1,1,1,2,2,4)

184

Topology 7.5 (1,1,1,1,1,3,4)

200

Topology 8.1 (1,1,1,1,2,2,2,2)

207

Topology 8.2 (1,1,1,1,1,2,2,3)

218

Harmonized scale tones

240

Index of scales

279

Blank scale and chord forms

292

Appendix A: I-IV-V cycles of the Pentatonic Minor and its modes

295

Appendix B: One-note alterations of the Major Scale and its modes

298

introduction This book is based on the concept of musical interval—the sonic space between any two notes. ▪

The fundamental interval in Western music is the half tone (or semitone), e.g., from C to Db.



Two half tones make up a whole tone, e.g., from C to Dd to D.



Three half tones make up a minor third, e.g., from C to Db to D to Eb.



Four half tones make up a major third, e.g., from C to Db to D to Eb to E natural.

Half tone, whole tone, minor third, and major third are the building blocks of the scales in this book. Musical intervals can be represented by numbers: 1 = a half tone (the most basic unit; the smallest single step in the 12-tone chromatic scale) 2 = a whole tone (made up of 2 half tones) 3 = a minor third (made up of 3 half tones) 4 = a major third (made up of 4 half tones) A scale can be shown as a series of numbers representing the sequence of intervals it comprises. No matter how many or how few notes are in a scale, the numbers representing the intervals in that scale must add up to 12. For example, the C major scale, C D E F G A B C, contains only half tones (which can be represented by 1’s) and whole tones (which can be represented by 2’s) in this sequence: whole tone, whole tone, half tone, whole tone, whole tone, whole tone, half tone. The intervallic structure is 2212221, and 2 + 2 + 1 + 2 + 2 + 2 + 1 = 12. Every major scale, regardless of key, has the same intervallic structure, 2212221. If you know the intervallic structure of a scale, any scale, you can create it in any key.

Mode or scale? A mode is a scale. When a scale is called a mode, it’s in reference to its parent scale. Using the C major scale as an example of a parent scale: ▪

Starting and ending on the 1st note, C D E F G A B C, yields the C ionian mode: 2212221.



Starting and ending on the 2nd note, D E F G A B C D, yields the D dorian mode: 2122212.



Starting and ending on the 3rd note, E F G A B C D E, yields the E phrygian mode: 1222122.



Starting and ending on the 4th note, F G A B C D E F, yields the F lydian mode: 2221221.



Starting and ending on the 5th note, G A B C D E F G, yields the G mixolydian mode: 2212212.



Starting and ending on the 6th note, A B C D E F G A, yields the A aeolian mode: 2122122.



Starting and ending on the 7th note, B C D E F G A B, yields the B locrian mode: 1221222

If our example had been, say, the F major scale (F G A Bb C D E F), the modes generated would be G dorian, A

phrygian, Bb lydian, C mixolydian, D aeolian, E locrian, and returning to F major (or F ionian). In conventional Western music, the roles and relationships of the Major Scale and its modes are pretty much fixed, but outside that framework, any scale might be considered a parent scale generating a family of modes. 1

Why ‘topologies’? Topology is a branch of mathematics concerned with, among other things, the deformation of objects in space. It has been said of topologists that they make no distinction between a coffee cup and a doughnut—both are 3-dimensional objects with one hole in them. In this book, I use topology as a metaphor and an organizing principle. How so? Well, what do the intervallic structures of the Major Scale and all its modes have in common? Regardless of the order of arrangement, each has the same “topology.” Each comprises two half tones and five whole tones. In our numeric nomenclature, that’s two 1’s and five 2’s. As shown on the right, calculating all possible permutations of 1,1,2,2,2,2,2 yields 21 unique sequences—which can be seen as representing 21 seven-note scales containing no major or minor third, belonging to three families: ▪

Seven unique sequences representing the Major Scale (2212221) and its six modes



Seven unique sequences representing the Melodic Minor Scale (2122221) and its six modes



Seven unique sequences representing the Neapolitan Major Scale (1222221) and its six modes

Note: Throughout this book, a numeric sequence separated by commas, e.g., 1,1,2,2,2,2,2, represents a topology, which generates permutations; the same numeric sequence without commas, i.e., 1122222, represents an individual scale, which generates a family of modes.

What’s in this book? Seven-note (heptatonic) scales Every permutation of combinations of seven intervals up to a major third the sum of which equals 12: Topology 7.1

1,1,2,2,2,2,2 (7-note scales with no thirds)

Topology 7.2

1,1,1,2,2,2,3 (7-note scales with 1 minor third)

Topology 7.3

1,1,1,1,2,3,3 (7-note scales with 2 minor thirds)

Topology 7.4

1,1,1,1,2,2,4 (7-note scales with 1 major third)

Topology 7.5

1,1,1,1,1,3,4 (7-note scales with a minor and major third)

Topologies 7.1–7.3 comprise 266 unique scales and modes derived from 38 parent scales. These 266 scales are, for the most part, interesting and useful—not only as scales, but also for the chords that can be generated by harmonizing each scale tone. Topology 7.4 produced, in my opinion, only a few useful or interesting scales. Topology 7.5 comprises five half tones, a major third, and a minor third. Five consecutive half tones is half a chromatic scale. IMHO, a lot of the scales in topology 7.5 aren’t very useful or musically interesting, but I’ve included them for the sake of providing a complete accounting. Plus I figure you can best judge for yourself what’s useful or interesting to you.

2

Selected chords derived from 7-note scales The first 38 parent scales in this book (topologies 7.1–7.3) are accompanied by a page of selected chords associated with each scale tone. For simplicity and economy of space, all chord samples are named off the 6th string and tightly voiced. The chord forms do not identify fret by Roman numeral; I assume you know 8th fret 6th string is C; 10th fret 6th string is D; etc. The selected chords are just a starting point. I leave the many possible inversions and transpositions to you. There’s a blank chord form in the back of the book that you can print out for that purpose. As is the case throughout the book, all scale harmonizations are based on a tonic or root note of C. Wherever the same chord form (e.g., m7+5) is associated with more than one note in the scale, I’ve diagrammed the first instance and then noted the others in parentheses. The other 7-note scales do not have a page of chord forms, nor do the 5-note, 6-note, and 8-note scales.

Six-note (hexatonic) scales Every permutation of combinations of six intervals up to a major third the sum of which equals 12: Topology 6.1

1,2,2,2,2,3 (6-note scales with 1 minor third)

Topology 6.2.

1,1,2,2,3,3 (6-note scales with 2 minor thirds)

Topology 6.3

1,1,2,2,2,4 (6-note scales with 1 major third)

Topology 6.4

1,1,1,2,3,4 (6-note scales with 1 minor and 1 major third)

Topology 6.5

1,1,1,3,3,3 (6-note scales with 3 minor thirds)

Topology 6.6

1,1,1,1,4,4 (6-note scales with 2 major thirds)

Topology 6.7

2,2,2,2,2,2 (the Whole Tone Scale)

Of the 6-note scales, only topologies 6.1–6.4 include a few useful or interesting scales. Quite a few of them are just ordinary pentatonic scales with an extra note or conventional 7-note scales with one note omitted. Topology 6.5 includes the Augmented Scale (313131) and its one mode (131313). Topology 6.6 is included only to provide a complete accounting of possible 6-note scales. Topology 6.7 is the Whole Tone Scale.

Five-note (pentatonic) scales Every permutation of combinations of five intervals up to a major third the sum of which equals 12, except 2,2,2,2,4 (Whole Tone Scale with one note missing): Topology 5.1

2,2,2,3,3 (5-note scales with 2 minor thirds)

Topology 5.2

1,2,2,3,4 (5-note scales with 1 minor and 1 major third)

Topology 5.3

1,1,2,4,4 (5-note scales with 2 major thirds)

Topology 5.4

1,1,3,3,4 (5-note scales with 1 major and 2 minor thirds)

Topology 5.1 comprises two families of pentatonic scales (10 scales total). The first includes the pentatonic minor and its modes—scales known to just about every rock and blues player on the planet. The second family includes the “pentatonic lydian” and its modes, which can add interest to solos when mixed with the pentatonic minor and its modes.

3

Topologies 5.2 and 5.3 include pentatonic scales that are redacted modes (e.g., the Phrygian mode with no 3rd and 6th scale tones; the Lydian mode with no 2nd and 5th scale tones). Topology 5.4 is included only to provide a full accounting of the possible 5-note scales.

Eight-note (octatonic) scales Of the possible 8-note topologies, I’ve included only two: Topology 8.1

1,1,1,1,2,2,2,2 (8-note scales with no major or minor third)

Topology 8.2

1,1,1,1,1,2,2,3 (8-note scales with a minor third)

Topology 8.1 yields the Diminished scale (21212121) and the Bebop scales, which are conventional 7-note scales with an added note. At best, topology 8.2 yields some chromatically embellished pentatonics. Other possible 8note topologies (e.g., 1,1,1,1,1,1,2,4 and 1,1,1,1,1,1,3,3) yield excessively chromatic scales and are not included.

Page layouts Parent scales Numbered parent scales are plotted the length of 24 frets in the key of C. I mapped out the parent scales and all their modes in Part 1, but in Part 2, I generally mapped out just the parent scale or the parent scale and a few modes. In many cases, choosing which scale in a family to use as the parent scale was arbitrary. Modes on the parent-scale pages are plotted in the articulations easiest for me to play. I have relatively small hands, and I favor horizontal scale patterns across two octaves with 3-fret stretches. Scale diagrams throughout the book reflect that limitation. Feel free to come up with your own best articulations. The scale diagrams give no indication which finger should play which note. You should be able to work out your own best solutions. Numbering of scales is according to the index of scales at the back of the book, which I used as a guide in its compilation. A blank scales page is included at the end of the book. Note on scale names: Many scales are known by more than one name. When I could find names for some of the more unusual scales, I used them. However, I made no effort to determine, for example, whether Hungarian Major is more standard nomenclature than Lydian dominant #2, Mixolydian #9 #11, Lydian #2 b7, or Mixolydian #2#4, though all refer to the same sequence of intervals (3121212). Nor did I research non-English scales names (Japanese, Indian, Balinese, etc).

Chords The first thirty-eight 7-note parent scales (Part 1) include a selection of chords for each scale tone. All of the selected chords are named off the 6th string and usually voiced as tightly as possible. These chords are just a starting point, i.e., there are a lot of ways to make a C7 chord. I acknowledge that some of the chord names may be “nonstandard,” but that’s the way I notate, understand, and use them. Wherever the same chord form (e.g., m7) is associated with more than one note in the scale, I’ve shown the first instance and then noted the others in parentheses. Layouts of the 5-note, 6-note, and 8-note scales do not include chord forms; neither do the 7-note scales containing major thirds. A blank chords page is included at the end of the book.

I hope you find this book useful. If you have any questions, comments, or suggestions, please feel free to email me at [email protected] or [email protected].

4

Part 1: Generally useful scales Parent scales and all their modes are mapped in this section. Seven-note scales include a selection of chords.

5

Topology 5.1 (2,2,2,3,3) 5-note scales with three whole tones and two minor thirds

6

1. Pentatonic Minor: 32232* I used the pentatonic minor as the parent scale of this family because I think it’s the “pattern” most familiar to most guitar players. 2. Pentatonic Major

5. Ritusen

III†

V

VII VIII

X 3. Yo XII

XV

XVII

XX

4. Man Gong

XXII

XXIV

* Intervallic structure, ie, the number of half-steps (semitones) between notes. † Roman numerals = fret numbers.

7

6. Pentatonic Lydian: 22233*

with a flatted 5th) I’m sure there are many ways to use the pentatonic lydian (a name I made up), but for a start, try it as a substitute for the 2nd degree of the pentatonic minor. For example, in a blues in A,where you might ordinarily use the A pentatonic minor, try interspersing C pentatonic lydian. 7. 22332

10. 32223

III†

V

VII VIII

X 8. 23322 XII

XV

XVII

XX

9. 33222

XXII

XXIV

* Intervallic structure, ie, the number of half-steps (semitones) between notes. † Roman numerals = fret numbers.

8

Topology 7.1 (1,1,2,2,2,2,2) 7-note scales with two half tones and five whole tones

9

11. The Major Scale (Ionian Mode): 2212221* 12. Dorian ‡

15. Mixolydian

13. Phrygian ‡

16. Aeolian ‡

14. Lydian §

17. Locrian

III†

V

VII VIII

X

XII XIII

XV

XVII

XX

XXII

XXIV

* Intervallic structure, ie, the number of half-steps (half tones) between notes. † Roman numerals = fret numbers. ‡ Incorporates Pentatonic Minor 32232 § Incorportes Pentatonic Lydian 22233

10

Selected C Major Scale chords (2212221)* C∆6 (F)

C∆7 (F)

C∆9 (F)

C6/9 (F)

D119 (G,A)

Dm6

Dm7 (E, A)

Dm911 (A)

Dm11 (E, A, B)

Dm6/9

Em7+5 (A, B)

Emb9

F+11

F+11b5

F∆7b5

G9

G11

G13

Bm7b5

Bm7b5b13

Bm7 (D, E, A)

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

11

18. Melodic Minor (Jazz Minor): 2122221*

19. Dorian b2 ‡

22. Mixolydian b6

III†

V

VII VIII

X

20. Lydian #5 §

23. Semilocrian

21. Lydian b7 §

24. Superlocrian

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232 § Incorportes lydian pentatonic 22233

12

Selected C Melodic Minor chords*** Cm6 (D)

Cm6/9

C∆7+9

Dm7

Dmb9

Eb6/9 (F)

Eb∆7b5

Eb∆7+5

F+11b5 (Eb)

F+11

F9 (G)

F13

F6/9

G11

G7+5

G119 (A)

Am911

Am7b5

Am7b5b13

B7b9

B+9

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

13

25. Neapolitan Major: 1222221*

26. Leading Whole Tone

29. Major Locrian

27. Lydian #5 b7 §

30. Semilocrian b4

28. Lydian b6 b7

31. Superlocrian bb3

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. § Incorporates lydian pentatonic 22233

14

Selected C Neapolitan Major chords* Cm∆7

Cm6

Cmb9

Db9 (all but C)

Db∆7b5

Db∆7+5

Db7b5 (all but C)

Db7+5 (all but C)

Eb6/9

F9

Am7b5

Am7b5b13

Am7+5

Am9

A+9

B7b9

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

15

[page intentionally blank]

16

Topology 7.2 (1,1,1,2,2,2,3) 7-note scales with three half tones, three whole tones, and one minor third

17

32. Neapolitan Minor: 1222131*

33. Lydian #6

36. Locrian #3

34. Mixolydian #5

37. Ionian #2

III†

V

VII VIII

X

XII

XV

XVII

XX

35. Hungarian Gypsy

38. Ultralocrian bb3§

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. § Incorporates lydian pentatonic 22233

18

Selected C Neapolitan Minor chords* +9

C∆7

b

E 11 (G)

Fm7

b

b5

A m6

b

b

D ∆7 (A )

b

b

D ∆7

b

b

E7

9

E 13

b5b13

Fm7

+9

B+11

E 11

Fm7

b

D9

A ∆7

b5

b +5

+5

G7

(G)

b5

b

E9

b

E 6/9 (B)

b9

G7

b5

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

19

39. Harmonic Major: 2212131*

40. Dorian b5

43. Mixolydian b2

41. Phrygian b4

44. Lydian #2 #5

III†

V

VII VIII

X

XII

XV

XVII

XX

42. Lydian b3

45. Locrian b7

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

20

Selected C Harmonic Major chords* +5

C∆

C∆7

Dm6/9

Dm7

D+11

11

Em7

Em7

E+9

Fm

Fm6

G7

b9

G11

G13

Dm9

F∆7

b

+9

A ∆7

b5

C∆7

b5

b

b5

+5

+9

A ∆7

+5

Bm6

C∆9

D11

9

Dm6 (B)

Dm11

b5∆7

b

(A )

Dm7 (E)

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

21

46. Harmonic Minor: 2122131*

47. Locrian #6

50. Phrygian #3

III†

V

VII VIII

X 48. Ionian #5

51. Lydian #2

XII

XV

XVII

XX

49. Romanian

52. Ultralocrian

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

22

Selected C Harmonic Minor chords* +9

C∆7

Dm7 (F)

E ∆7

E 6/9

F+11

b

Fm6/9

Fm7

G11

Fm6 (A )

b

A ∆7

b

b5

A ∆7

b

Dm11

b

D° (F, A , B)

b

b5

Dm7 (F)

b

+9

A ∆7

b

Dm6 (B)

b5

F+11

+5

G7

+9

A ∆6

(B)

+5

Bm6

Eb∆9

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

23

53. Hungarian Major: 3121212*

54. Superlocrian bb6bb7

57. Melodic minor #5

III†

V

VII VIII

X 55. Harmonic minor b5

58. Dorian b2#4

XII

XV

XVII

XX

56. Superlocrian #6

59. Lydian augmented #3

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

24

Selected C Hungarian Major chords* #

Cm6 (D , A)

#

C13 (F )

# b9

b

B +11

+9

C∆6

#

F7

b5

Cm7 (A)

#

Cm7 (F , A)

#

#

(D , F )

F m6 (G)

b5

#

C7 (F )

+5

Gm6

#

C+9 (F )

#

#

C° (D, F )

D ∆6

Em

∆7b5

Gm6/9

Am

b9

#

(D )

b5

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

25

60. Phrygian #4: 1231122*

61. Lydian #3

64. Locrian #7

62. Mixolydian #2 ‡

65. Ionian #6

63. Aeolian #1

66. Dorian #5

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232 § Incorporates lydian pentatonic 22233

26

Selected C Phrygian #4 chords* b5

Cm7

b

D +11

b5

#

(F )

b

#

E ∆6

A 11

b

Ab11

b

B m6

B m6

Cm7

D +11 (F )

b

E m6

b5b13

Cm7

b

b

b

b

E m11 (B )

+9

F 6/9

9

A ∆7

+5

B m6/9

b9

Cm7

E +9

E 13

Cm

+5

b

b

#

Gm

b

B m9

b

∆7b5

11

b

A9

b

B m7

b

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

27

67. Ionian b2: 1312221*

68. Dorian b1

71. Mixolydian b5 §

69. Phrygian b7

72. Aeolian b4

70. Lydian b6

73. Locrian b3

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. § Incorporates lydian pentatonic 22233

28

Selected C Ionian b2 chords* C∆7 (F)

b

D ∆7

b

b

D ∆7

b5

b +5

D m7 (A)

D m7

b

Em6

Em6

D 7 (A)

D ∆7

G13

+9

b

b5b13

+5

b5

G+11

9

G11

b

D +9 (A)

b

D ∆7

Em

b5+9

b9

G6/9

b b5

D 7 (G)

b

+5

D m7

(A)

G9

Am7

Am9

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

29

74. Lydian b2: 1321221*

75. Mixolydian b1

78. Ionian b5 §

76. Aeolian b7

79. Dorian b4

77. Locrian b6 ‡

80. Phrygian b3

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232 § Incorporates lydian pentatonic 22233

30

Selected C Lydian b2 chords* C∆7

b

D m7

+5

b

D m7 (F )

F m7 (A)

#

Fm

C∆7b5

D m7

Em6/9

b5

b

b5

#

G∆7

G+11

A9

A13

Am6 (E)

Am9

A+9

B11

b9

9

#

b

b5b13

D m7

G6/9

A6/9

+5

Em6

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

31

81. Lydian b3#5: 2132121*

82. 1321212

85. 1212132

83. 3212121

86. 2121321

84. 2121213

87. 1213212

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

32

Selected C Lydian b3#5 chords* b5

C+11

b5

D7

#

#

(F , A)

#

(G )

G m7

b5

Cm

b5∆7

b9

b

(E , A)

#

D7 (G , B)

#

G +9 (B)

b

#

Cm6 (E , F , A)

D13 (B)

Bm

b9

Cm6

+5

b

b

#

(E , F )

#

#

Cm6/9 (F , A)

#

E ° (F , A)

G m7 (B)

Bm6

B∆6

+9

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

33

88. Scala Enigmata: 1322211* Some sources show the F# as an F natural in the descending articulation of this scale.

89. 3222111 ‡

92. 2111322

90. 2221113 §

93. 1113222

91. 2211132

94. 1132221

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232 § Incorporates lydian pentatonic 22233

34

Selected C Scala Enigmata chords* b5

b5

C∆7

b

#

D m11 (G )

#

#

F 11 (G )

#

G m9

11

#

C7 (F )

b

D m7

#

9

#

#

#

b9

(G )

C7

b5

E+11

E+11

F 11 (G )

G9

+5

C7

b

D m6

E6/9

F9

#

G +9

#

A m7

A m7

#

#

#

+5

#

b5b13

G m7

b5

#

(A )

A m7

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

35

95. 2122311*

96. 1223112

99. 3112122 ‡

97. 2231121

100. 1121223

98. 2311212

101. 1212231

III†

V

VII ‡

VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

36

Selected C 2122311 chords* Cm7 (G)

Dm7

b

+5

E 7

(G)

+5

Cm11 (D, G)

Dm6

Dm6

b

+5

#

E 6/9 (A )

+5

G11

B7

11

Cm9

G7

+9

C7

b

9

C11 (F)

b

E 6

E 7

E 9

F+11

F+11

G+9

B7

b

b5

b5

+9

B7

b5+9

*Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

37

102. 1231221*

103. 2312211

106. 2211231

104. 3122112

107. 2112312 §

105. 1221123

108. 1123122

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

38

Selected C 1231221 chords* Cm

∆7

b

D 11

b

Cm

9

E m6

+5

+5

b

E +9 (A)

b5

Eb7

G∆7

A9

b9

B9

B7

∆7b5

(A)

#

Cm6 (F )

b

b5

E m7 (A)

b +5

Cm

b9

b

#

b

b5b13

E m7

+9

E ∆6

Am6

Am9

#

C° (E , F , A)

E m7

E7

b

(F )

(A)

b

+5

b5

G∆7

Am6/9

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

39

109. 1321122*

110. 3211221

113. 1221321

111. 2112213 §

114. 2213211

112. 1122132

115. 2132112

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. § Supports Lydian Pentatonic 22233

40

Selected C 1321122 chords* b5

C7

b

Dm

b5∆7

E6/9

b

#

(F )

A 11

(G)

+5

C7

b

b9

(A )

b

Em6 (G, B )

+9

E∆6

b

+5

B m7

#

b

C7 (F )

+5

Em6

b

(B )

b

A9

b

B m7

B m9

Dm

Em6/9 (B )

#

F9

b

D m6

b

b

∆7

b5

E+11

b

A ∆9

b5

b

b5b13

B m7

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

41

116. 2211123*

117. 2111232 ‡

120. 1232211

118. 1112322

121. 2322111

119. 1123221

122. 3221112 ‡

III†

V

VII § VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates Pentatonic Minor 32232 §Incoporates Pentatonic Lydian 22233

42

Selected C 2211123 chords* C6/9 (F)

C∆6

D11

D11 (E, G)

F∆7

Gm

Am6

9

b

+5

∆7b5

C+11

C+11

b5

D+9

Dm7 (A)

Dm11 (E, A)

Em7

b

b5

G m7

b

b5b13

G m7

+5

b

(G , A)

Am6

Am7 (D)

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

43

123. 1222311*

124. 2223111 §

127. 3111222

125. 2231112

128. 1112223

126. 2311122

129. 1122231

III†

V

VII ‡

VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡Incorporates pentatonic minor 32232 § Incorporates lydian pentatonic 22233

44

Selected C 1222311 chords* Cm7

b

Cm

b

D 6/9 (E )

b

∆7

Cm11 (G)

b b5

D 9 (E )

b

E 6/9

D7

b

b

b

E ∆6

E9

G+9

Gm7

b5

b5b13

Gm7

Cm

b9

#

D ∆7 (B)

b

E7

(A )

b

D 13 (E )

F11

9

#

A m6

b

b5

b +5

(G)

+5

Gm7

#

A m6/9

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

45

130. 2112231*

131. 1122312

134. 2312112

132. 1223121

135. 3121122

133. 2231211

136. 1211223

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

46

Selected C 2112231 chords* b5

b5+9

+9

C∆7

C∆7

D13

D7

E m6 (B)

E∆9 (C)

E7

b9

+5

E∆7

#

F 11

#

G +9

9

#

C∆7

D7

b

+5

#

(G )

#

b5

G m7

G m7

Bm6

Bm

b5

#

(G )

D9

E m6

+5

E∆7

E9

F +11

b

#

b5b13

G m7

#

b5

#

+5

G m7

b9

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

47

137. 1112232*

138. 1122321 §

141. 2321112

139. 1223211

142. 3211122 ‡

140. 2232111

143. 2111223

III†

V

VII ‡

VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232 § Incorporates lydian pentatonic 22233

48

Selected C 1112232 chords* Cm7 (G)

b

b

D ∆7

Dm7

+5

Gm7

b5

9

C11 (F)

b5

D ∆7

(G)

b

#

b5b13

Cm

b9

b

D +11

b

E ∆9

#

A 6/9

D 6/9

E ∆6 (A )

Gm7

11

Cm9

E ∆7

A m6/9

b

Cm11 (D, G)

b5

b

Dm7

b

E 6/9

#

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

49

144. 1211232*

145. 2112321 §

148. 2321211

146. 1123212

149. 3212112

147. 1232121

150. 2121123

III†

V

VII ‡

VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

50

Selected C 1211232 chords* C+9

Cm7

b9

b

C7

Cm11 (G)

b

#

(E )

D ° (E, G, A )

b

+9

D +11

Em6

+5

D ∆7

#

A m6

b

(G)

b5

9

F11

#

(A )

b

D 6/9

b5

Db∆7

b5

Gm7

Cm

b9

b

b5+9

D ∆7

b

E 6/9

Gm7

+5

C11

b

D m6 (E, G)

b

E9

#

A +11

#

A m6/9

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

51

151. 1121232*

152. 1212321

155. 2321121

153. 2123211

156. 3211212 ‡

154. 1232112

157. 2112123 §

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

52

Selected C 1121232 chords* 9

C9

C11 (D)

b

D ∆7

b5+9

Dm7

Em7

b5b13

b

D m6 (E)

+5

C11

C7

b

D ∆7

11

Dm7

Dm9

#

Gm6 (A )

#

A 6/9

b

b9

b

#

D ° (E, G, A )

b5

b

+9

D ∆7

D ∆7

Dm11 (G)

Em7 (G)

b5

#

A m6/9

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

53

158. 2211213*

159. 2112132

162. 2132211

160. 1121322

163. 1322112

161. 1213221

164. 3221121

III†

V

VII § VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. § Incorporates lydian pentatonic 22233

54

Selected C 2211213 chords* C+11

b5

b5

C6/9

b5

b

Dm9 (G )

E7 (A )

E11

E7

F∆7

F∆7

b9

D7 (A )

E11

E11

9

F∆6

Fm6 (A)

Fm

b

+9

Gm

(A)

∆7b5

b

A 13

b

Dm7

D+9

F∆7

b

Dm7 (G )

b

b9

b

G m7

+5

b

b

(A )

+9

b5b13

G m7

+5

Am6

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

55

165. 2212113*

166. 2121132 ‡

169. 1132212

167. 1211322

170. 1322121

168. 2113221

171. 3221211 ‡

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

56

Selected C 2212113 chords* C6/9 (F)

Dm9

11

Fm6/9

b

A ∆7

C∆6 (F)

Dm7 (A)

Em7

Em7

F∆7

+9

+5

(A)

F∆7

(A)

Dm7

E7

b5

b9

F∆7

+9

Dm11 (E, A)

F∆9

b

b5

A ∆7

+5

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

57

[page intentionally blank]

58

Topology 7.3 (1,1,1,1,2,3,3) 7-note scales with 4 half tones, 1 whole tone, and 2 minor thirds

59

172. Hungarian Minor: 2131131*

173. Oriental

176. Double harmonic 

III†

V

VII VIII

X 174. Ionian augmented #2

177. Lydian #2 #6

XII

XV

XVII

XX

175. Locrian bb3 bb7

178. Ultraphrygian

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

60

Selected C Hungarian Minor chords* Cm

b5∆7

b

(A )

b9

b

b

A +9

∆7

b

(B)

#

b5

+5

E ∆7

b5

b

D11

(G)

E ∆7

b

A m7

D7 (A )

b

E ∆7

+5

+9

(A 7 )

b

D7

E m6

Cm

F +11

G∆7 (A )

B∆6

B∆6

+9

b

D13

+9

b

Bm

b

(A )

b

E m6 (B)

b

b5

A m7

b9

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

61

179. 1321131*

180. 3211311 ‡

183. 1311321

181. 2113113

184. 3113211

182. 1131132

185. 1132113

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

62

Selected C 1321131 chords* C∆7

b

Dm

∆7

Em6

b

b5

C∆7

∆7b5

+5

C∆7 (G)

A ∆7

b

Dm

Em6

+9

b

A m7

+5

b

b

b5

D m7

D m7

D m11 (A )

E∆6

E∆6

E6/9

Em6/9

F 11

b +5

A +9

b

b

b

+5

A m7

A7

+9

#

9

b

*Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

63

186. 1231131*

187. 2311311

190. 1311231

188. 3113112

191. 3112311 ‡

189. 1131123

192. 1123113

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

64

Selected C 1231131 chords* Cm

∆7

b

+9

(A 7 )

b

b

E m11 (A )

b

E 13

b5

G∆7

Cm

∆7b5

b

E m6

b

+5

E m7

b

A m7

Cm

b9

b

9

b +5

D 11

b

+5

E +9 (A )

#

b5

F +11

E m6

F +11

b

A ∆7

b

E7

b

#

b

+9

A ∆7

b

b

E 11 (A )

b

G∆7 (A )

B∆6

B6/9

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

65

193. 1111233*

194. 1112331

197. 2331111

195. 1123311

198. 3311112

196. 1233111

199. 3111123

III†

V

VII § VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. § Incorporates lydian pentatonic 22233

66

Selected C 1111233 chord C 6/9

C+11

b5

b

#

C° (E , F , A)

D∆7

D9

D7

E m7

#

F m7

F m7

b

Cm6/9

b

E m7

#

Cm6 (E , F , A)

b

b5

Em

b

#

b5

F m7

#

b5∆7

b5b13

b9

(A)

D∆7

9

#

E11

#

+9

C∆6

+5

F m6

+5

F m7

A∆6

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

67

200. 1111323*

201. 1113231

204. 3231111

202. 1132311

205. 2311113

203. 1323111

206. 3111132 ‡

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

68

Selected C 1111323 chords* C∆6

Cm

C 6/9

b9

b

G+11

b5

Cm6

9

E ∆7

E ∆7

+5

Em11 (A)

G+11

b5

A7

b5∆7

D11

Em6

+5

Em7

Am7

Am7

Dm

Em6

+9

C∆6

b

b5

Cm6/9

b

b5

A+9

A11

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

69

207. 1111332*

208. 1113321

211. 3321111

209. 1133211

212. 3211113

210. 1332111

213. 2111133 §

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. § Incorporates lydian pentatonic 22233

70

Selected C 1111332 chords* Cm

b9

b

D m6 (E, G)

9

D11

Em7

b5

Cm7

b

C9

b

D ° (E, G, B )

b

E ∆6

b5b13

Em7

b9

C+9

b

b

D m6/9 (B )

b

E ∆7

+5

Em7

b

Dm

b

C7 (E )

b5∆7

Em6

+5

b

B 6/9

(E)

(G)

b

D +11

b5

b

(B )

Em7

b

+9

B ∆6

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

71

214. 1112133*

215. 1121331

218. 1331112

216. 1213311

219. 3311121

217. 21133111

220. 3111213

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

72

Selected C 1112133 chords* b

b

Cm6 (E , G , A)

b

D ∆9

+5

D+9

b

b

E ° (G , A)

b

Cm6/9 (E )

Dm

b9

b5

C+11

+9

D∆7

b

F∆6

F∆6

+5

+5

D ∆7

b

Dm7

D7 (F)

b

E m7

b

D ∆7 (D)

(G m7)

D∆7

b

(E )

b

b9

b5

E m7

(A)

F7

+5

b

b5∆7

b

+5

Em

G m6

b

(G )

(A)

+9

A∆6

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

73

221. 1112313*

222. 1123131

225. 3131112

III†

V

VII VIII

X 223. 1231311

226. 1311123

XII

XV

XVII

XX

224. 2313111

227. 3111231

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

74

Selected C 1112313 chords* Cm6 (F)

b

D ∆9

+5

b

E +11

b5

+5

Cm6

Dm7 (F)

#

F∆6 (G )

+5

F+9

(F)

F7

Cm6/9

b5

Dm7

F∆6

+5

A∆7

b

D ∆7

Dm

∆7

F∆6

b

+5

b5∆7

(A7

D ∆7

Dm

+9

Fm7

b5

A∆7

A∆7

b5+9

)

+5

+5

+9

A∆7

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

75

228. 1113123* This scale lends itself more to vertical (up-down the neck) than horizontal (across the neck) articulation; you should feel free to develop patterns best suited to your own style of playing.

228. alternative

232. alternative

III†

V

VII VIII

X

XII

XV

XVII

XX

232. 1231113

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

76

Selected C 1113123 chords* #

Cm6 (F )

C+11

b

b5

E m7

b

b5

Cm

b9

#

(F )

b9

D7

(A)

#

E m6 (F ,A)

C° (F , A)

C+11

D11 (A)

D∆7

E m7 (A)

b

b5+9

E ∆6

#

+5

Am11

E ∆7

F m6

#

Cm6/9

b

+9

(A)

b

b

b5

E ∆7

b

E +9 (A)

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

77

235. 1113132*

236. 1131321

239. 1321113

237. 1313211

240. 3211131

III†

V

VII VIII

X

XII

XV

XVII

XX

238. 3132111

241. 2111313

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

78

Selected C 1113132 chords* b

Cm7 (E )

b5

Cm7

b

Cm

b

b

+9

E m6 (B )

b

+9

E ∆6 (F )

E 7

E ∆7

b

#

b9

D7

b

b

E +9

b

E ∆7

+9

E ∆6

b

(B )

+5

+9

b

+5

D∆7

(Gm7)

+5

B ∆6

b

E ∆7

b

B m6/9

b

B 6/9

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

79

242. 1113213

242. alternative

246. alternative

III†

V

VII VIII

X

XII

XV

XVII

XX

246. 2131113

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

80

Selected C 1113213 chords* b

#

Cm6 (E , F , A)

b5

D∆7

b

Em

#

(A)

b5∆7

F m6

(A)

+5

Cm6

b9

#

Cm6/9 (F )

#

D7 (G )

D7 (G )

b

E m11

+9

A∆6

#

(F )

b5

b

#

#

C+11

b5

b

#

(F )

D∆7

b

b5

E m7

E m7

#

G 11

E ° (F , A)

F +11

A∆7

A∆7

#

+9

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

81

249. 1113312*

250. 1133121

253. 3121113

251. 1331211

254. 1211133

252. 3312111

255. 2111331

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

82

Selected C 1113312 chords* b

#

Cm6 (E , F , A)

b

C° (E , A)

b

Em

#

∆7

F ∆6

+5

Cm6/9

b9

Cm7

Cm7

+5

D7

D7

b

∆7b5

E m7

b

#

+5

F ∆6

#

b

(E )

+9

D∆7

b

#

E m6 (F )

(A)

b

b5

C+11

+5

D∆7

Em

F m6

b5

+9

B ∆7

b

(B )

#

F ∆6

b

B ∆9

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

83

256. 1121133*

257. 1211331

260. 1331121

258. 2113311

261. 3311211

259. 1133112

262. 3112113

III†

V

VII § VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. § Incorporates lydian pentatonic 22233

84

Selected C 1121133 chords* b5

C6/9

b

C+11

b

Dm7 (G )

Dm

D+9

D∆7 (F)

+5

Am6

Am6

G m7

G m7

+9

A∆6

A∆6

A∆6

+9

D9

b

b

b5

(F)

b

(G )

∆7

b

+5

D ∆7

9

E11

b

D ∆7 (F)

D ∆7

+5

+5

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

85

263. 3131121* This scale lends itself more to vertical (up-down the neck) than horizontal (across the neck) articulation; you can develop patterns best suited to your own style of playing.

264. 1311213

269. 1313112

III†

V

VII VIII

X 266. 1121313 XII

XV

XVII

XX

268. 2131311

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

86

Selected C 3131121 chords* #

+5

C∆7 (E, G )

+9

C∆7

Am7

C∆7

#

(E, G )

#

(E, G )

+9

C∆6

+9

E∆7

E∆7

b5

Am7

Am

Cm6

#

(G )

∆7b5

Am

B7

∆7

+5

+5

Cm6

G6/9

B11

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

87

270. 1131312*

270. alternative

273. 1312113

III†

V

VII VIII

X 275. 1211313 XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

88

Selected C 1131312 chords* C+11

b5

b

b

D ∆7

+5

Dm7

G ∆7

9

C11

b5

b

b

Dm7

D∆7 (G , B )

Am6

Am6

+5

b

+5

(D, G , B )

b

+9

(B )

D ∆7

G ∆7

A∆6

b

b

b

D+9

b

b5+9

G ∆7

+9

*Chords named off the 6th string. Letters in parentheses = same chord form at that root. Single gray notes are optional. Play either note of a gray pair but probably not both.

89

Part 2: somewhat less useful and in some cases downright useless scales Parent scales are mapped the full length of 24 frets, but in many cases, I did not bother to plot the individual modes.

90

Topology 5.2 (1,2,2,3,4) 5-note scales with one half tone, two whole tones, and a minor and a major third

91

277. 12234*

281. 41223 III†

V

VII VIII

X

XII

XV

XVII

XX

280. 34122

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

92

282. 12243*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

93

287. 12324*

III†

V

VII VIII

X

XII

XV

XVII

XX

290. 24123

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

94

292. 12342*

III†

V

VII VIII

X

XII

XV

XVII

XX

295. 42123

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

95

297. 12423*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

96

302. 12432*

III†

V

VII VIII

X

XII

XV

XVII

XX

305. 32124

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

97

307. 13224*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

98

312. 13242*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

99

317. 13422*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

100

322. 14223*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

101

327. 14232*

III†

V

VII VIII

X

XII

XV

XVII

XX

330. 32142

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

102

332. 14322*

334. 32214 III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

103

Topology 5.3 (1,1,2,4,4) 5-note scales with two half tones, one whole tone, and two major thirds

104

337. 11244*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

105

342. 11424*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

106

347. 11442*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

107

352. 12144*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

108

357. 12414*

III†

V

VII VIII

X

XII

XV

XVII

XX

360. 14124

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

109

362. 14142*

364. 14214 III†

V

VII VIII

X 3 XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

110

Topology 5.4 (1,1,3,3,4) 5-note scales with two half tones, two minor thirds, and one major third

111

367. 11334*

371. 41133 III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

112

372. 11343*

III†

V

VII VIII

X 374. 34311 XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

113

377. 11433*

III†

V

VII VIII

X

XII

XV

XVII

XX

380. 33114

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

114

382. 13134*

III†

V

VII VIII

X

XII

XV

XVII

XX

385. 34131

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

115

387. 13143*

391. 31314 III†

V

VII VIII

X

XII

XV

XVII

XX

390. 43131

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

116

392. 13314*

393. 33141

396. 41331

III†

V

VII VIII

X 394. 31413 XII

XV

XVII

XX

395. 14133

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

117

Topology 6.1 (1,2,2,2,2,3) 6-note scales with one half tone, four whole tones, and one minor third

118

397. 122223*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

119

403. 223212*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

120

409. 223221*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

121

415. 222123*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

122

421. 132222*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

123

Topology 6.2 (1,1,2,2,3,3) 6-note scales with two half tones, two whole tones, and two minor thirds

124

427. 112233*

431. 331122 III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

125

433. 112323*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

126

439. 112332*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

127

445. 121233*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

128

451. 121323*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

129

457. 121332*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

130

463. 211323*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

131

469. 211332*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

132

475. 223113*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

133

481. 131223*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

134

487. 131232*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

135

493. 131322*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

136

499. 221331*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

137

505. 212313*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

138

511. 123123*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

139

514. 132132*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

140

Topology 6.3 (1,1,2,2,2,4) 6-note scales with two half tones, three whole tones, and one major third

141

517. 112224*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

142

523. 112242*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

143

529. 112422*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

144

535. 114222*

539. 221142 III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

145

541. 121224*

III†

V

VII VIII

X 543. 122412

546. 412122

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

146

547. 121242*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

147

553. 121422*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

148

559. 124122*

III†

V

VII VIII

X 562. 122124 XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

149

565. 122142*

III†

V

VII VIII

X

XII

XV

XVII

XX

568. 142122

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

150

571. 122214*

575. 141222 III†

▪V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

151

Topology 6.4 (1,1,1,2,3,4) 6-note scales with three half tones, one whole tone, one minor third, and one major third

152

577. 111234*

III†

V

VII VIII

X 579. 123411

582. 411123

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

153

583. 111243*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

154

589. 111324*

589. alternative

593. 241113

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

155

595. 111342*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

156

601. 111423*

605. 231114 III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

157

607. 111432*

611. 321114 III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

158

613. 112134*

III†

V

VII VIII

X 615. 213411 XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

159

619. 112143*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

160

625. 112314*

626. 123141

629. 141123

III†

V

VII VIII

X 627. 231411

630. 411231

XII

XV

XVII

XX

628. 314112

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

161

631. 112413*

632. 124131 III†

V

VII VIII

X 633. 241311

635. 131124

XII

XV

XVII

XX

634. 413112

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

162

637. 113124*

640. 124113

642. 411312

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

163

643. 113142*

644. 131421

647. 421131

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

164

649. 113214*

649. alternative III†

V

VII VIII

X 653. 141132 XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

165

655. 113412*



III†

V

VII VIII

  

X 656. 134121 XII

659. 121134



XV

XVII

XX

657. 341211



660. 211341

XXII

XXIV



*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

166

661. 114123*

665. 231141 III†

V

VII VIII

X 663. 412311 XII

XV

XVII

XX

664. 123114

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

167

667. 114132*

671. 321141 III†

V

VII VIII

X 669. 413211 XII

XV

XVII

XX

670. 132114

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

168

673. 114213*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

169

679. 114312*

III†

V

VII VIII

X 681. 431211 XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

170

685. 121314*

689. 141213 III†

V

VII VIII

X 687. 131412

690. 412131

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

171

691. 121413*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

172

Topology 6.5 (1,1,1,3,3,3) 6-note scales with three semitones and three minor thirds

173

697. 111333*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (semitones) between notes. †Roman numerals = fret numbers.

174

703. 113133*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (semitones) between notes. †Roman numerals = fret numbers.

175

709. 113313*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (semitones) between notes. †Roman numerals = fret numbers.

176

715. Augmented: 313131* The augmented scale and its one mode repeat at every fourh fret (i.e., in major third intervals).

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (semitones) between notes. †Roman numerals = fret numbers.

177

Topology 6.6 (1,1,1,1,4,4) 6-note scales with four half tones and two major thirds

178

718. 111144*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

179

724. 111414*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

180

730. 114114*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

181

Topology 6.7 (2,2,2,2,2,2) Whole Tone Scale

182

717. Whole Tone Scale (222222)* The Whole Tone Scale and its modes are indistinguishable.

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

183

Topology 7.4 (1,1,1,1,2,2,4) 7-note scales with four half tones, two whole tones, and one major third

184

733. 1111224*

III†

V

VII VIII

X

XII

XV

XVII

XX

739. 4111122

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

185

740. 1111242*

III†

V

VII VIII

X 745. 4211112 XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

186

747. 1111422*

751. 4221111 III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

187

754. 1112124*

III†

V

VII VIII

X

XII

XV

XVII

XX

760. 4111212

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

188

761. 1112142*

III†

V

VII VIII

X 766. 4211121 XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

189

768. 1112214*

773. 1411122 III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

190

775. 1112412*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

191

782. 1114122*

786. 1221114 III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

192

789. 1114212*

III†

V

VII VIII

X

XII

XV

XVII

XX

791. 1421211

793. 2121114

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

193

796. 1121124*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

194

803. 1121142*

III†

V

VII VIII

X 808. 4211211 XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

195

810. 1121214*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

196

817. 1121412*

III†

V

VII VIII

X 819. 2141211 XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

197

824. 1122114*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

198

831. 1141212*

III†

V

VII VIII

X 833. 4121211 XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

199

Topology 7.5 (1,1,1,1,1,3,4) 7-note scales with five half tones, one minor third, and one major third

200

838. 1111134*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

201

845. 1111143*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

202

852. 1111314*

III†

V

VII VIII

X

XII

XV

XVII

XX

858. 4111131

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

203

859. 1111413*

III†

V

VII VIII

X 865. 3111141 XII

XV

XVII

XX

863. 4131111

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

204

866. 1113114*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

205

873. 1141131*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

206

Topology 8.1 (1,1,1,1,2,2,2,2) 8-note scales with four half tones and four whole tones

207

880. Bebop major: 22121121*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

208

888. Bebop dominant: 22122111*

III†

V

VII VIII

X 890. Bebop locrian XII

892. Bebop dorian

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

209

896. Bebop minor: 21221121*

III†

V

VII VIII

X

902. 21212211 XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

210

904. 22121112*

905. 21211122 III†

V

VII VIII

X 908. 11122212 ‡ XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates Pentatonic Minor 32232

211

912. 22121211*

III†

V

VII VIII

X

XII

XV‡

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

212

920. 22112112*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

213

928. 22111212*

III†

V

VII VIII

X 930. 11121222

933. 21222111 ‡

XII

XV

XVII

XX

934. 12221112 ‡

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

214

936. 22111122*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

215

944. 22112211*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

216

948. Diminished: 21212121* The Diminished Scale and its one mode repeat at every third fret (i.e., in minor third intervals). The incomplete articulations below yield a diminished feel across two octaves. III†

V

VII VIII

X at C (tonic)

at D

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, i.e., the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

217

Topology 8.2 (1,1,1,1,1,2,2,3) 8-note scales with five half tones, two whole tones, and a minor third

218

950. 11211213*

950. alternative III†

V

VII VIII

X 955. 21311211 XII

XV

XVII

XX

953. 11213112

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

219

958. 11211312*

III†

V

VII VIII

X 963. 31211211 XII

XV

XVII

XX

961. 11312112

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

220

966. 11212113*

III†

V

VII VIII

X 968. 21211311 ‡

971. 11311212

XII

XV

XVII

XX

973. 31121211 ‡

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

221

974. 11121123*

976. 12112311‡ III†

V

VII VIII

X 980. 23111211 XII

XV

XVII

XX

978. 11231112

981. 31112112

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

222

982. 11121132*

III†

V

VII VIII‡

X 986. 11321112

988. 32111211 ‡

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

223

990. 11121213*

995. 21311121 III†

V

VII VIII

X 996. 13111212 XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

224

998. 11121312*

1003. 31211121 III†

V

VII VIII

X 1004. 12111213 XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

225

1006. 11122113*

1010. 21131112 III†

V

VII VIII

X 1008. 12211311 ‡

1011. 11311122

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

226

1014. 11123112*

1018. 31121112 ‡ III†

V

VII VIII

X 1019. 11211123 XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

227

1022. 11131122*

1026. 11221113 III†

V

VII VIII

X 1027. 12211131 XII

XV

XVII

XX

1025. 31122111 ‡

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

228

1030. 11131212*

III†

V

VII VIII

X 1035. 21211131 XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

229

1038. 11132112*

1042. 21121113 III†

V

VII VIII

X 1043. 11211132 XII

XV

XVII

XX

1041. 32112111 ‡

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

230

1046. 11112123*

1051. 12311112 III†

V

VII VIII

X

XII

XV

XVII

XX

1053. 31111212‡

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

231

1054. 11112132*

1059. 13211112 III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

232

1062. 11112213*

III†

V

VII VIII

X 1068. 13111122 XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

233

1070. 11112312*

III†

V

VII VIII

X 1076. 12111123 XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

234

1078. 11113122*

III†

V

VII VIII

X

XII

XV

XVII

XX

1085. 21111312

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

235

1086. 11113212*

III†

V

VII VIII

X 1092. 12111132 ‡ XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers. ‡ Incorporates pentatonic minor 32232

236

1094. 11111223*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

237

1102. 11111232*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

238

1110. 11111322*

III†

V

VII VIII

X

XII

XV

XVII

XX

XXII

XXIV

*Intervallic structure, ie, the number of half-steps (half tones) between notes. †Roman numerals = fret numbers.

239

harmonized scale tones The pages in this section lay out the first 38 seven-note parent scales on a chromatic grid and identify the chord tones native to each parent scale and its modes through two octaves. Generally speaking, chords are derived from scales by selecting every other note in the scale across two octaves. This is how scale notes are harmonized. The example on the right is for the Neapolitan Minor in C. Start with any scale degree in the row at the top of the grid (Roman numerals), the shaded boxes below show the associated chord tones derived from the scale. The shaded boxes under C, for example, tell us the fully extended chord native to the first note of the Neapolitan minor scale would include:  the root or tonic (C)  minor 3rd (Eb)  perfect 5th (G)  major 7th (B)  flatted 9th (Db)  unaltered 11th (F)  flatted 13th (Ab) s us some of the C chords that would support the C Neapolitan minor scale (Cm or Cm11, for example). The chart also tells us the second mode of this scale, starting with Db, yields Db7, Db9, and Db+11. The third mode yields a Eb7+5. And so on. 7

You can use the charts in this chapter to figure out what chords may work over the 7-note parent scales and modes in -to-C errors in these charts, please let me know at [email protected] so I can fix them in subsequent versions of the book. Thanks!

240

11. Major: 2212221* Scale tone Chord tone

11. Ionian mode (aka, Major Scale)

12. Dorian mode

13. Phrygian mode

14. Lydian mode

15. Mixolydian mode

16. Aeolian mode

17. Locrian mode

I

II

III

IV

V

VI

VII

1

C

D

E

F

G

A

B

b9

C#/Db

D#/Eb

F

F#/Gb

G#/Ab

A#/Bb

C

9

D

E

F#/Gb

G

A

B

C#/Db

D#/Eb

F

G

G#/Ab

A#/Bb

C

D

E

F#/Gb

G#/Ab

A

B

C#/Db

D#/Eb

4

F

G

A

A#/Bb

C

D

E

b5

F#/Gb

G#/Ab

A#/Bb

B

C#/Db

D#/Eb

F

5

G

A

B

C

D

E

F#/Gb

+5

G#/Ab

A#/Bb

C

C#/Db

D#/Eb

F

G

6

A

B

C#/Db

D

E

F#/Gb

G#/Ab

b7

A#/Bb

C

D

D#/Eb

F

G

A

B

C#/Db

D#/Eb

E

F#/Gb

G#/Ab

A#/Bb

1

C

D

E

F

G

A

B

b9

C#/Db

D#/Eb

F

F#/Gb

G#/Ab

A#/Bb

C

9

D

E

F#/Gb

G

A

B

C#/Db

+9

D#/Eb

F

G

G#/Ab

A#/Bb

C

D

3

E

F#/Gb

G#/Ab

A

B

C#/Db

D#/Eb

11

F

G

A

A#/Bb

C

D

E

+11

F#/Gb

G#/Ab

A#/Bb

B

C#/Db

D#/Eb

F

G

A

B

C

D

E

F#/Gb

b13

G#/Ab

A#/Bb

C

C#/Db

D#/Eb

F

G

13

A

B

C#/Db

D

E

F#/Gb

G#/Ab

b7

A#/Bb

C

D

D#/Eb

F

G

A

B

C#/Db

E

F#/Gb

G#/Ab

A#/Bb

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

241

18. Melodic Minor: 2122221* Scale tone Chord tone

18. Melodic Minor

19. Dorian b2

20. Lydian #5

21. Lydian b7

22. Mixolydian b6

23. Semilocrian

24. Superlocrian

I

II

III

IV

V

VI

VII

1

C

D

Eb

F

G

A

B

b9

C#/Db

D#/Eb

E

F#/Gb

G#/Ab

A#/Bb

C

9

D

E

F

G

A

B

C#/Db

D#/Eb

F

F#/Gb

G#/Ab

A#/Bb

C

D

E

F#/Gb

G

A

B

C#/Db

D#/Eb

4

F

G

G#/Ab

A#/Bb

C

D

E

b5

F#/Gb

G#/Ab

A

B

C#/Db

D#/Eb

F

5

G

A

A#/Bb

C

D

E

F#/Gb

+5

G#/Ab

A#/Bb

B

C#/Db

D#/Eb

F

G

6

A

B

C

D

E

F#/Gb

G#/Ab

b7

A#/Bb

C

C#/Db

D#/Eb

F

G

A

B

C#/Db

D

E

F#/Gb

G#/Ab

A#/Bb

1

C

D

D#/Eb

F

G

A

B

b9

C#/Db

D#/Eb

E

F#/Gb

G#/Ab

A#/Bb

C

9

D

E

F

G

A

B

C#/Db

+9

D#/Eb

F

F#/Gb

G#/Ab

A#/Bb

C

D

3

E

F#/Gb

G

A

B

C#/Db

D#/Eb

11

F

G

G#/Ab

A#/Bb

C

D

E

+11

F#/Gb

G#/Ab

A

B

C#/Db

D#/Eb

F

G

A

A#/Bb

C

D

E

F#/Gb

b13

G#/Ab

A#/Bb

B

C#/Db

D#/Eb

F

G

13

A

B

C

D

E

F#/Gb

G#/Ab

b7

A#/Bb

C

C#/Db

D#/Eb

F

G

A

B

C#/Db

D

E

F#/Gb

G#/Ab

A#/Bb

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

242

25. Neapolitan Major: 1222221* Scale tone Chord tone

25. Neapolitan Major

26. Leading Whole Tone

27. Lydian #5b7

28. Lydian b6b7

29. Major Locrian

30. Semilocrian b4

31. Superlocrian bb3

I

II

III

IV

V

VI

VII

1

C

Db

Eb

F

G

A

B

b9

C#/Db

D

E

F#/Gb

G#/Ab

A#/Bb

C

9

D

D#/Eb

F

G

A

B

C#/Db

D#/Eb

E

F#/Gb

G#/Ab

A#/Bb

C

D

E

F

G

A

B

C#/Db

D#/Eb

4

F

F#/Gb

G#/Ab

A#/Bb

C

D

E

b5

F#/Gb

G

A

B

C#/Db

D#/Eb

F

5

G

G#/Ab

A#/Bb

C

D

E

F#/Gb

+5

G#/Ab

A

B

C#/Db

D#/Eb

F

G

6

A

A#/Bb

C

D

E

F#/Gb

G#/Ab

b7

A#/Bb

B

C#/Db

D#/Eb

F

G

A

B

C

D

E

F#/Gb

G#/Ab

A#/Bb

1

C

C#/Db

D#/Eb

F

G

A

B

b9

C#/Db

D

E

F#/Gb

G#/Ab

A#/Bb

C

9

D

D#/Eb

F

G

A

B

C#/Db

+9

D#/Eb

E

F#/Gb

G#/Ab

A#/Bb

C

D

3

E

F

G

A

B

C#/Db

D#/Eb

11

F

F#/Gb

G#/Ab

A#/Bb

C

D

E

+11

F#/Gb

G

A

B

C#/Db

D#/Eb

F

G

G#/Ab

A#/Bb

C

D

E

F#/Gb

b13

G#/Ab

A

B

C#/Db

D#/Eb

F

G

13

A

A#/Bb

C

D

E

F#/Gb

G#/Ab

b7

A#/Bb

B

C#/Db

D#/Eb

F

G

A

B

C

D

E

F#/Gb

G#/Ab

A#/Bb

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

243

32. Neapolitan Minor: 1222131* Scale tone Chord tone

32. Neapolitan Minor

33. Lydian #6

34. Mixolydian #5

35. Hungarian Gypsy

36. Locrian #3

37. Ionian #2

38. Ultrlocrian bb3

I

II

III

IV

V

VI

VII

1

C

Db

Eb

F

G

Ab

B

b9

C#/Db

D

E

F#/Gb

G#/Ab

A

C

9

D

D#/Eb

F

G

A

A#/Bb

C#/Db

D#/Eb

E

F#/Gb

G#/Ab

A#/Bb

B

D

E

F

G

A

B

C

D#/Eb

4

F

F#/Gb

G#/Ab

A#/Bb

C

C#/Db

E

b5

F#/Gb

G

A

B

C#/Db

D

F

5

G

G#/Ab

A#/Bb

C

D

D#/Eb

F#/Gb

+5

G#/Ab

A

B

C#/Db

D#/Eb

E

G

6

A

A#/Bb

C

D

E

F

G#/Ab

b7

A#/Bb

B

C#/Db

D#/Eb

F

F#/Gb

A

B

C

D

E

F#/Gb

G

A#/Bb

1

C

C#/Db

D#/Eb

F

G

G#/Ab

B

b9

C#/Db

D

E

F#/Gb

G#/Ab

A

C

9

D

D#/Eb

F

G

A

A#/Bb

C#/Db

+9

D#/Eb

E

F#/Gb

G#/Ab

A#/Bb

B

D

3

E

F

G

A

B

C

D#/Eb

11

F

F#/Gb

G#/Ab

A#/Bb

C

C#/Db

E

+11

F#/Gb

G

A

B

C#/Db

D

F

G

G#/Ab

A#/Bb

C

D

D#/Eb

F#/Gb

b13

G#/Ab

A

B

C#/Db

D#/Eb

E

G

13

A

A#/Bb

C

D

E

F

G#/Ab

b7

A#/Bb

B

C#/Db

D#/Eb

F

F#/Gb

A

B

C

D

E

F#/Gb

G

A#/Bb

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

244

39. Harmonic Major: 2212131* Scale tone Chord tone

39. Harmonic Minor

40. Dorian b5

41. Phrygian b4

42. Lydian b3

43. Mixolydian b2

44. Lydian #2#5

45. Locrian b7

I

II

III

IV

V

VI

VII

1

C

D

E

F

G

Ab

B

b9

C#/Db

D#/Eb

F

F#/Gb

G#/Ab

A

C

9

D

E

F#/Gb

G

A

A#/Bb

C#/Db

D#/Eb

F

G

G#/Ab

A#/Bb

B

D

E

F#/Gb

G#/Ab

A

B

C

D#/Eb

4

F

G

A

A#/Bb

C

C#/Db

E

b5

F#/Gb

G#/Ab

A#/Bb

B

C#/Db

D

F

5

G

A

B

C

D

D#/Eb

F#/Gb

+5

G#/Ab

A#/Bb

C

C#/Db

D#/Eb

E

G

6

A

B

C#/Db

D

E

F

G#/Ab

b7

A#/Bb

C

D

D#/Eb

F

F#/Gb

A

B

C#/Db

D#/Eb

E

F#/Gb

G

A#/Bb

1

C

D

E

F

G

G#/Ab

B

b9

C#/Db

D#/Eb

F

F#/Gb

G#/Ab

A

C

9

D

E

F#/Gb

G

A

A#/Bb

C#/Db

+9

D#/Eb

F

G

G#/Ab

A#/Bb

B

D

3

E

F#/Gb

G#/Ab

A

B

C

D#/Eb

11

F

G

A

A#/Bb

C

C#/Db

E

+11

F#/Gb

G#/Ab

A#/Bb

B

C#/Db

D

F

G

A

B

C

D

D#/Eb

F#/Gb

b13

G#/Ab

A#/Bb

C

C#/Db

D#/Eb

E

G

13

A

B

C#/Db

D

E

F

G#/Ab

b7

A#/Bb

C

D

D#/Eb

F

F#/Gb

A

B

C#/Db

D#/Eb

E

F#/Gb

G

A#/Bb

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

245

46. Harmonic Minor: 2122131* Scale tone Chord tone

46. Harmonic Minor

47. Locrian #6

48. Ionian #5

49. Romanian

50. Phrrygian #3

51. Lydian #2

52. Ultralocrian

I

II

III

IV

V

VI

VII

1

C

D

Eb

F

G

Ab

B

b9

C#/Db

D#/Eb

F

F#/Gb

G#/Ab

A

C

9

D

E

F#/Gb

G

A

A#/Bb

C#/Db

D#/Eb

F

G

G#/Ab

A#/Bb

B

D

E

F#/Gb

G#/Ab

A

B

C

D#/Eb

4

F

G

A

A#/Bb

C

C#/Db

E

b5

F#/Gb

G#/Ab

A#/Bb

B

C#/Db

D

F

5

G

A

B

C

D

D#/Eb

F#/Gb

+5

G#/Ab

A#/Bb

C

C#/Db

D#/Eb

E

G

6

A

B

C#/Db

D

E

F

G#/Ab

b7

A#/Bb

C

D

D#/Eb

F

F#/Gb

A

B

C#/Db

D#/Eb

E

F#/Gb

G

A#/Bb

1

C

D

E

F

G

G#/Ab

B

b9

C#/Db

D#/Eb

F

F#/Gb

G#/Ab

A

C

9

D

E

F#/Gb

G

A

A#/Bb

C#/Db

+9

D#/Eb

F

G

G#/Ab

A#/Bb

B

D

3

E

F#/Gb

G#/Ab

A

B

C

D#/Eb

11

F

G

A

A#/Bb

C

C#/Db

E

+11

F#/Gb

G#/Ab

A#/Bb

B

C#/Db

D

F

G

A

B

C

D

D#/Eb

F#/Gb

b13

G#/Ab

A#/Bb

C

C#/Db

D#/Eb

E

G

13

A

B

C#/Db

D

E

F

G#/Ab

b7

A#/Bb

C

D

D#/Eb

F

F#/Gb

A

B

C#/Db

D#/Eb

E

F#/Gb

G

A#/Bb

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

246

53. Hungarian Major: 3121212* Scale tone Chord tone

53. Hungarian Major

54. Superlocrian bb6bb7

55. Harmonic Minor b5

56. Superlocrian #6

57. Melodic Minor #5

58. Dorian b2#4

59. Lydian #3#5

I

II

III

IV

V

VI

VII

1

C

D#

E

F#

G

A

Bb

b9

C#/Db

E

F

G

G#/Ab

A#/Bb

B

9

D

F

F#/Gb

G#/Ab

A

B

C

D#/Eb

F#/Gb

G

A

A#/Bb

C

C#/Db

E

G

G#/Ab

A#/Bb

B

C#/Db

D

4

F

G#/Ab

A

B

C

D

D#/Eb

b5

F#/Gb

A

A#/Bb

C

C#/Db

D#/Eb

E

5

G

A#/Bb

B

C#/Db

D

E

F

+5

G#/Ab

B

C

D

D#/Eb

F

F#/Gb

6

A

C

C#/Db

D#/Eb

E

F#/Gb

G

b7

A#/Bb

C#/Db

D

E

F

G

G#/Ab

B

D

D#/Eb

F

F#/Gb

G#/Ab

A

1

C

D#/Eb

E

F#/Gb

G

A

A#/Bb

b9

C#/Db

E

F

G

G#/Ab

A#/Bb

B

9

D

F

F#/Gb

G#/Ab

A

B

C

+9

D#/Eb

F#/Gb

G

A

A#/Bb

C

C#/Db

3

E

G

G#/Ab

A#/Bb

B

C#/Db

D

11

F

G#/Ab

A

B

C

D

D#/Eb

+11

F#/Gb

A

A#/Bb

C

C#/Db

D#/Eb

E

G

A#/Bb

B

C#/Db

D

E

F

b13

G#/Ab

B

C

D

D#/Eb

F

F#/Gb

13

A

C

C#/Db

D#/Eb

E

F#/Gb

G

b7

A#/Bb

C#/Db

D

E

F

G

G#/Ab

B

D

D#/Eb

F

F#/Gb

G#/Ab

A

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

247

60. Phrygian #4 (1231122)* Scale tone Chord tone

60. Phrygian #4

61. Lydian #3

62. Mixolydian #2

63. Aeolian #1

64. Locrian #7

65. Ionian #6

66. Dorian #5

I

II

III

IV

V

VI

VII

1

C

Db

Eb

F#

G

Ab

Bb

b9

C#/Db

D

E

G

G#/Ab

A

B

9

D

D#/Eb

F

G#/Ab

A

A#/Bb

C

D#/Eb

E

F#/Gb

A

A#/Bb

B

C#/Db

E

F

G

A#/Bb

B

C

D

4

F

F#/Gb

G#/Ab

B

C

C#/Db

D#/Eb

b5

F#/Gb

G

A

C

C#/Db

D

E

5

G

G#/Ab

A#/Bb

C#/Db

D

D#/Eb

F

+5

G#/Ab

A

B

D

D#/Eb

E

F#/Gb

6

A

A#/Bb

C

D#/Eb

E

F

G

b7

A#/Bb

B

C#/Db

E

F

F#/Gb

G#/Ab

B

C

D

F

F#/Gb

G

A

1

C

C#/Db

D#/Eb

F#/Gb

G

G#/Ab

A#/Bb

b9

C#/Db

D

E

G

G#/Ab

A

B

9

D

D#/Eb

F

G#/Ab

A

A#/Bb

C

+9

D#/Eb

E

F#/Gb

A

A#/Bb

B

C#/Db

3

E

F

G

A#/Bb

B

C

D

11

F

F#/Gb

G#/Ab

B

C

C#/Db

D#/Eb

+11

F#/Gb

G

A

C

C#/Db

D

E

G

G#/Ab

A#/Bb

C#/Db

D

D#/Eb

F

b13

G#/Ab

A

B

D

D#/Eb

E

F#/Gb

13

A

A#/Bb

C

D#/Eb

E

F

G

b7

A#/Bb

B

C#/Db

E

F

F#/Gb

G#/Ab

B

C

D

F

F#/Gb

G

A

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

248

67. Ionian b2 (1312221)* Scale tone Chord tone

67. Ionian b2

68. Dorian b1

69. Phrygian b7

70. Lydian b6

71. Mixolydian b5

72. Aeolian b4

73. Locrian b3

I

II

III

IV

V

VI

VII

1

C

Db

E

F

G

A

B

b9

C#/Db

D

F

F#/Gb

G#/Ab

A#/Bb

C

9

D

D#/Eb

F#/Gb

G

A

B

C#/Db

D#/Eb

E

G

G#/Ab

A#/Bb

C

D

E

F

G#/Ab

A

B

C#/Db

D#/Eb

4

F

F#/Gb

A

A#/Bb

C

D

E

b5

F#/Gb

G

A#/Bb

B

C#/Db

D#/Eb

F

5

G

G#/Ab

B

C

D

E

F#/Gb

+5

G#/Ab

A

C

C#/Db

D#/Eb

F

G

6

A

A#/Bb

C#/Db

D

E

F#/Gb

G#/Ab

b7

A#/Bb

B

D

D#/Eb

F

G

A

B

C

D#/Eb

E

F#/Gb

G#/Ab

A#/Bb

1

C

C#/Db

E

F

G

A

B

b9

C#/Db

D

F

F#/Gb

G#/Ab

A#/Bb

C

9

D

D#/Eb

F#/Gb

G

A

B

C#/Db

+9

D#/Eb

E

G

G#/Ab

A#/Bb

C

D

3

E

F

G#/Ab

A

B

C#/Db

D#/Eb

11

F

F#/Gb

A

A#/Bb

C

D

E

+11

F#/Gb

G

A#/Bb

B

C#/Db

D#/Eb

F

G

G#/Ab

B

C

D

E

F#/Gb

b13

G#/Ab

A

C

C#/Db

D#/Eb

F

G

13

A

A#/Bb

C#/Db

D

E

F#/Gb

G#/Ab

b7

A#/Bb

B

D

D#/Eb

F

G

A

B

C

D#/Eb

E

F#/Gb

G#/Ab

A#/Bb

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

249

74. Lydian b2 (1321221)* Scale tone Chord tone

74. Lydian b2

75. Mixolydian b1

76. Aeolian b7

77. Locrian b6

78. Ionian b5

79. Dorian b4

80. Phrygian b3

I

II

III

IV

V

VI

VII

1

C

Db

E

F#

G

A

B

b9

C#/Db

D

F

G

G#/Ab

A#/Bb

C

9

D

D#/Eb

F#/Gb

G#/Ab

A

B

C#/Db

D#/Eb

E

G

A

A#/Bb

C

D

E

F

G#/Ab

A#/Bb

B

C#/Db

D#/Eb

4

F

F#/Gb

A

B

C

D

E

b5

F#/Gb

G

A#/Bb

C

C#/Db

D#/Eb

F

5

G

G#/Ab

B

C#/Db

D

E

F#/Gb

+5

G#/Ab

A

C

D

D#/Eb

F

G

6

A

A#/Bb

C#/Db

D#/Eb

E

F#/Gb

G#/Ab

b7

A#/Bb

B

D

E

F

G

A

B

C

D#/Eb

F

F#/Gb

G#/Ab

A#/Bb

1

C

C#/Db

E

F#/Gb

G

A

B

b9

C#/Db

D

F

G

G#/Ab

A#/Bb

C

9

D

D#/Eb

F#/Gb

G#/Ab

A

B

C#/Db

+9

D#/Eb

E

G

A

A#/Bb

C

D

3

E

F

G#/Ab

A#/Bb

B

C#/Db

D#/Eb

11

F

F#/Gb

A

B

C

D

E

+11

F#/Gb

G

A#/Bb

C

C#/Db

D#/Eb

F

G

G#/Ab

B

C#/Db

D

E

F#/Gb

b13

G#/Ab

A

C

D

D#/Eb

F

G

13

A

A#/Bb

C#/Db

D#/Eb

E

F#/Gb

G#/Ab

b7

A#/Bb

B

D

E

F

G

A

B

C

D#/Eb

F

F#/Gb

G#/Ab

A#/Bb

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

250

81. Lydian b3#5: 2132121* Scale tone Chord tone

81. Lydian b3#5

82. 1321212

83. 3212121

84. 2121213

85. 1212132

86. 2121321

87. 1213212

I

II

III

IV

V

VI

VII

1

C

D

Eb

F#

G#

A

B

b9

C#/Db

D#/Eb

E

G

A

A#/Bb

C

9

D

E

F

G#/Ab

A#/Bb

B

C#/Db

D#/Eb

F

F#/Gb

A

B

C

D

E

F#/Gb

G

A#/Bb

C

C#/Db

D#/Eb

4

F

G

G#/Ab

B

C#/Db

D

E

b5

F#/Gb

G#/Ab

A

C

D

D#/Eb

F

5

G

A

A#/Bb

C#/Db

D#/Eb

E

F#/Gb

+5

G#/Ab

A#/Bb

B

D

E

F

G

6

A

B

C

D#/Eb

F

F#/Gb

G#/Ab

b7

A#/Bb

C

C#/Db

E

F#/Gb

G

A

B

C#/Db

D

F

G

G#/Ab

A#/Bb

1

C

D

D#/Eb

F#/Gb

G#/Ab

A

B

b9

C#/Db

D#/Eb

E

G

A

A#/Bb

C

9

D

E

F

G#/Ab

A#/Bb

B

C#/Db

+9

D#/Eb

F

F#/Gb

A

B

C

D

3

E

F#/Gb

G

A#/Bb

C

C#/Db

D#/Eb

11

F

G

G#/Ab

B

C#/Db

D

E

+11

F#/Gb

G#/Ab

A

C

D

D#/Eb

F

G

A

A#/Bb

C#/Db

D#/Eb

E

F#/Gb

b13

G#/Ab

A#/Bb

B

D

E

F

G

13

A

B

C

D#/Eb

F

F#/Gb

G#/Ab

b7

A#/Bb

C

C#/Db

E

F#/Gb

G

A

B

C#/Db

D

F

G

G#/Ab

A#/Bb

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

251

88. Scala Enigmata: 1322211 Scale tone Chord tone

88. Scala Enigmata

89. 3222111

90. 2221113

91. 2211132

92. 2111322

93. 1113222

94. 1132221

I

II

III

IV

V

VI

VII

1

C

Db

E

F#

G#

A#

B

b9

C#/Db

D

F

G

A

B

C

9

D

D#/Eb

F#/Gb

G#/Ab

A#/Bb

C

C#/Db

D#/Eb

E

G

A

B

C#/Db

D

E

F

G#/Ab

A#/Bb

C

D

D#/Eb

4

F

F#/Gb

A

B

C#/Db

D#/Eb

E

b5

F#/Gb

G

A#/Bb

C

D

E

F

5

G

G#/Ab

B

C#/Db

D#/Eb

F

F#/Gb

+5

G#/Ab

A

C

D

E

F#/Gb

G

6

A

A#/Bb

C#/Db

D#/Eb

F

G

G#/Ab

b7

A#/Bb

B

D

E

F#/Gb

G#/Ab

A

B

C

D#/Eb

F

G

A

A#/Bb

1

C

C#/Db

E

F#/Gb

G#/Ab

A#/Bb

B

b9

C#/Db

D

F

G

A

B

C

9

D

D#/Eb

F#/Gb

G#/Ab

A#/Bb

C

C#/Db

+9

D#/Eb

E

G

A

B

C#/Db

D

3

E

F

G#/Ab

A#/Bb

C

D

D#/Eb

11

F

F#/Gb

A

B

C#/Db

D#/Eb

E

+11

F#/Gb

G

A#/Bb

C

D

E

F

G

G#/Ab

B

C#/Db

D#/Eb

F

F#/Gb

b13

G#/Ab

A

C

D

E

F#/Gb

G

13

A

A#/Bb

C#/Db

D#/Eb

F

G

G#/Ab

b7

A#/Bb

B

D

E

F#/Gb

G#/Ab

A

B

C

D#/Eb

F

G

A

A#/Bb

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

252

95. 2122311* Scale tone Chord tone

95. 2122311

96. 1223112

97. 2231121

98. 2311212

99. 3112122

100. 1121223

101. 1212231

I

II

III

IV

V

VI

VII

1

C

D

Eb

F

G

A#

B

b9

C#/Db

D#/Eb

E

F#/Gb

G#/Ab

B

C

9

D

E

F

G

A

C

C#/Db

D#/Eb

F

F#/Gb

G#/Ab

A#/Bb

C#/Db

D

E

F#/Gb

G

A

B

D

D#/Eb

4

F

G

G#/Ab

A#/Bb

C

D#/Eb

E

b5

F#/Gb

G#/Ab

A

B

C#/Db

E

F

5

G

A

A#/Bb

C

D

F

F#/Gb

+5

G#/Ab

A#/Bb

B

C#/Db

D#/Eb

F#/Gb

G

6

A

B

C

D

E

G

G#/Ab

b7

A#/Bb

C

C#/Db

D#/Eb

F

G#/Ab

A

B

C#/Db

D

E

F#/Gb

A

A#/Bb

1

C

D

D#/Eb

F

G

A#/Bb

B

b9

C#/Db

D#/Eb

E

F#/Gb

G#/Ab

B

C

9

D

E

F

G

A

C

C#/Db

+9

D#/Eb

F

F#/Gb

G#/Ab

A#/Bb

C#/Db

D

3

E

F#/Gb

G

A

B

D

D#/Eb

11

F

G

G#/Ab

A#/Bb

C

D#/Eb

E

+11

F#/Gb

G#/Ab

A

B

C#/Db

E

F

G

A

A#/Bb

C

D

F

F#/Gb

b13

G#/Ab

A#/Bb

B

C#/Db

D#/Eb

F#/Gb

G

13

A

B

C

D

E

G

G#/Ab

b7

A#/Bb

C

C#/Db

D#/Eb

F

G#/Ab

A

B

C#/Db

D

E

F#/Gb

A

A#/Bb

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

253

102. 1231221* Scale tone Chord tone

102. 1231221

103. 2312211

104. 3122112

105. 1221123

106. 2211231

107. 2112312

108. 1123122

I

II

III

IV

V

VI

VII

1

C

Db

Eb

F#

G

A

B

b9

C#/Db

D

E

G

G#/Ab

A#/Bb

C

9

D

D#/Eb

F

G#/Ab

A

B

C#/Db

D#/Eb

E

F#/Gb

A

A#/Bb

C

D

E

F

G

A#/Bb

B

C#/Db

D#/Eb

4

F

F#/Gb

G#/Ab

B

C

D

E

b5

F#/Gb

G

A

C

C#/Db

D#/Eb

F

5

G

G#/Ab

A#/Bb

C#/Db

D

E

F#/Gb

+5

G#/Ab

A

B

D

D#/Eb

F

G

6

A

A#/Bb

C

D#/Eb

E

F#/Gb

G#/Ab

b7

A#/Bb

B

C#/Db

E

F

G

A

B

C

D

F

F#/Gb

G#/Ab

A#/Bb

1

C

C#/Db

D#/Eb

F#/Gb

G

A

B

b9

C#/Db

D

E

G

G#/Ab

A#/Bb

C

9

D

D#/Eb

F

G#/Ab

A

B

C#/Db

+9

D#/Eb

E

F#/Gb

A

A#/Bb

C

D

3

E

F

G

A#/Bb

B

C#/Db

D#/Eb

11

F

F#/Gb

G#/Ab

B

C

D

E

+11

F#/Gb

G

A

C

C#/Db

D#/Eb

F

G

G#/Ab

A#/Bb

C#/Db

D

E

F#/Gb

b13

G#/Ab

A

B

D

D#/Eb

F

G

13

A

A#/Bb

C

D#/Eb

E

F#/Gb

G#/Ab

b7

A#/Bb

B

C#/Db

E

F

G

A

B

C

D

F

F#/Gb

G#/Ab

A#/Bb

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

254

109. 1321122* Scale tone Chord tone

109. 1321122

110. 3211221

111. 2112213

112. 1122132

113. 1221321

114. 2213211

115. 2132112

I

II

III

IV

V

VI

VII

1

C

Db

E

F#

G

Ab

Bb

b9

C#/Db

D

F

G

G#/Ab

A

B

9

D

D#/Eb

F#/Gb

G#/Ab

A

A#/Bb

C

D#/Eb

E

G

A

A#/Bb

B

C#/Db

E

F

G#/Ab

A#/Bb

B

C

D

4

F

F#/Gb

A

B

C

C#/Db

D#/Eb

b5

F#/Gb

G

A#/Bb

C

C#/Db

D

E

5

G

G#/Ab

B

C#/Db

D

D#/Eb

F

+5

G#/Ab

A

C

D

D#/Eb

E

F#/Gb

6

A

A#/Bb

C#/Db

D#/Eb

E

F

G

b7

A#/Bb

B

D

E

F

F#/Gb

G#/Ab

B

C

D#/Eb

F

F#/Gb

G

A

1

C

C#/Db

E

F#/Gb

G

G#/Ab

A#/Bb

b9

C#/Db

D

F

G

G#/Ab

A

B

9

D

D#/Eb

F#/Gb

G#/Ab

A

A#/Bb

C

+9

D#/Eb

E

G

A

A#/Bb

B

C#/Db

3

E

F

G#/Ab

A#/Bb

B

C

D

11

F

F#/Gb

A

B

C

C#/Db

D#/Eb

+11

F#/Gb

G

A#/Bb

C

C#/Db

D

E

G

G#/Ab

B

C#/Db

D

D#/Eb

F

b13

G#/Ab

A

C

D

D#/Eb

E

F#/Gb

13

A

A#/Bb

C#/Db

D#/Eb

E

F

G

b7

A#/Bb

B

D

E

F

F#/Gb

G#/Ab

B

C

D#/Eb

F

F#/Gb

G

A

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

255

116. 2211123* Scale tone Chord tone

116. 2211123

117. 2111232

118. 1112322

119. 1123221

120. 1232211

121. 2322111

122. 3221112

I

II

III

IV

V

VI

VII

1

C

D

E

F

Gb

G

A

b9

C#/Db

D#/Eb

F

F#/Gb

G

G#/Ab

A#/Bb

9

D

E

F#/Gb

G

G#/Ab

A

B

D#/Eb

F

G

G#/Ab

A

A#/Bb

C

E

F#/Gb

G#/Ab

A

A#/Bb

B

C#/Db

4

F

G

A

A#/Bb

B

C

D

b5

F#/Gb

G#/Ab

A#/Bb

B

C

C#/Db

D#/Eb

5

G

A

B

C

C#/Db

D

E

+5

G#/Ab

A#/Bb

C

C#/Db

D

D#/Eb

F

6

A

B

C#/Db

D

D#/Eb

E

F#/Gb

b7

A#/Bb

C

D

D#/Eb

E

F

G

B

C#/Db

D#/Eb

E

F

F#/Gb

G#/Ab

1

C

D

E

F

F#/Gb

G

A

b9

C#/Db

D#/Eb

F

F#/Gb

G

G#/Ab

A#/Bb

9

D

E

F#/Gb

G

G#/Ab

A

B

+9

D#/Eb

F

G

G#/Ab

A

A#/Bb

C

3

E

F#/Gb

G#/Ab

A

A#/Bb

B

C#/Db

11

F

G

A

A#/Bb

B

C

D

+11

F#/Gb

G#/Ab

A#/Bb

B

C

C#/Db

D#/Eb

G

A

B

C

C#/Db

D

E

b13

G#/Ab

A#/Bb

C

C#/Db

D

D#/Eb

F

13

A

B

C#/Db

D

D#/Eb

E

F#/Gb

b7

A#/Bb

C

D

D#/Eb

E

F

G

B

C#/Db

D#/Eb

E

F

F#/Gb

G#/Ab

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

256

123. 1222311* Scale tone Chord tone

123. 1222311

124. 2223111

125. 2231112

126. 2311122

127. 3111222

128. 1112223

129. 1122231

I

II

III

IV

V

VI

VII

1

C

Db

Eb

F

G

A#

B

b9

C#/Db

D

E

F#/Gb

G#/Ab

B

C

9

D

D#/Eb

F

G

A

C

C#/Db

D#/Eb

E

F#/Gb

G#/Ab

A#/Bb

C#/Db

D

E

F

G

A

B

D

D#/Eb

4

F

F#/Gb

G#/Ab

A#/Bb

C

D#/Eb

E

b5

F#/Gb

G

A

B

C#/Db

E

F

5

G

G#/Ab

A#/Bb

C

D

F

F#/Gb

+5

G#/Ab

A

B

C#/Db

D#/Eb

F#/Gb

G

6

A

A#/Bb

C

D

E

G

G#/Ab

b7

A#/Bb

B

C#/Db

D#/Eb

F

G#/Ab

A

B

C

D

E

F#/Gb

A

A#/Bb

1

C

C#/Db

D#/Eb

F

G

A#/Bb

B

b9

C#/Db

D

E

F#/Gb

G#/Ab

B

C

9

D

D#/Eb

F

G

A

C

C#/Db

+9

D#/Eb

E

F#/Gb

G#/Ab

A#/Bb

C#/Db

D

3

E

F

G

A

B

D

D#/Eb

11

F

F#/Gb

G#/Ab

A#/Bb

C

D#/Eb

E

+11

F#/Gb

G

A

B

C#/Db

E

F

G

G#/Ab

A#/Bb

C

D

F

F#/Gb

b13

G#/Ab

A

B

C#/Db

D#/Eb

F#/Gb

G

13

A

A#/Bb

C

D

E

G

G#/Ab

b7

A#/Bb

B

C#/Db

D#/Eb

F

G#/Ab

A

B

C

D

E

F#/Gb

A

A#/Bb

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

257

130. 2112231* Scale tone Chord tone

130. 2112232

131. 1122312

132. 1223121

133. 2231211

134. 2312112

135. 3121122

136. 1211223

I

II

III

IV

V

VI

VII

1

C

D

Eb

E

Gb

Ab

B

b9

C#/Db

D#/Eb

E

F

G

A

C

9

D

E

F

F#/Gb

G#/Ab

A#/Bb

C#/Db

D#/Eb

F

F#/Gb

G

A

B

D

E

F#/Gb

G

G#/Ab

A#/Bb

C

D#/Eb

4

F

G

G#/Ab

A

B

C#/Db

E

b5

F#/Gb

G#/Ab

A

A#/Bb

C

D

F

5

G

A

A#/Bb

B

C#/Db

D#/Eb

F#/Gb

+5

G#/Ab

A#/Bb

B

C

D

E

G

6

A

B

C

C#/Db

D#/Eb

F

G#/Ab

b7

A#/Bb

C

C#/Db

D

E

F#/Gb

A

B

C#/Db

D

D#/Eb

F

G

A#/Bb

1

C

D

D#/Eb

E

F#/Gb

G#/Ab

B

b9

C#/Db

D#/Eb

E

F

G

A

C

9

D

E

F

F#/Gb

G#/Ab

A#/Bb

C#/Db

+9

D#/Eb

F

F#/Gb

G

A

B

D

3

E

F#/Gb

G

G#/Ab

A#/Bb

C

D#/Eb

11

F

G

G#/Ab

A

B

C#/Db

E

+11

F#/Gb

G#/Ab

A

A#/Bb

C

D

F

G

A

A#/Bb

B

C#/Db

D#/Eb

F#/Gb

b13

G#/Ab

A#/Bb

B

C

D

E

G

13

A

B

C

C#/Db

D#/Eb

F

G#/Ab

b7

A#/Bb

C

C#/Db

D

E

F#/Gb

A

B

C#/Db

D

D#/Eb

F

G

A#/Bb

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

258

137. 1112232* Scale tone Chord tone

137. 1112232

138. 1122321

139. 1223211

140. 2232111

141. 2321112

142. 3211122

143. 2111223

I

II

III

IV

V

VI

VII

1

C

Db

D

Eb

F

G

Bb

b9

C#/Db

D

D#/Eb

E

F#/Gb

G#/Ab

B

9

D

D#/Eb

E

F

G

A

C

D#/Eb

E

F

F#/Gb

G#/Ab

A#/Bb

C#/Db

E

F

F#/Gb

G

A

B

D

4

F

F#/Gb

G

G#/Ab

A#/Bb

C

D#/Eb

b5

F#/Gb

G

G#/Ab

A

B

C#/Db

E

5

G

G#/Ab

A

A#/Bb

C

D

F

+5

G#/Ab

A

A#/Bb

B

C#/Db

D#/Eb

F#/Gb

6

A

A#/Bb

B

C

D

E

G

b7

A#/Bb

B

C

C#/Db

D#/Eb

F

G#/Ab

B

C

C#/Db

D

E

F#/Gb

A

1

C

C#/Db

D

D#/Eb

F

G

A#/Bb

b9

C#/Db

D

D#/Eb

E

F#/Gb

G#/Ab

B

9

D

D#/Eb

E

F

G

A

C

+9

D#/Eb

E

F

F#/Gb

G#/Ab

A#/Bb

C#/Db

3

E

F

F#/Gb

G

A

B

D

11

F

F#/Gb

G

G#/Ab

A#/Bb

C

D#/Eb

+11

F#/Gb

G

G#/Ab

A

B

C#/Db

E

G

G#/Ab

A

A#/Bb

C

D

F

b13

G#/Ab

A

A#/Bb

B

C#/Db

D#/Eb

F#/Gb

13

A

A#/Bb

B

C

D

E

G

b7

A#/Bb

B

C

C#/Db

D#/Eb

F

G#/Ab

B

C

C#/Db

D

E

F#/Gb

A

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

259

144. 1211232* Scale tone Chord tone

144. 1211232

145. 2112321

146. 1123212

147. 1232121

148. 2321211

149. 3212112

150. 2121123

I

II

III

IV

V

VI

VII

1

C

Db

Eb

E

F

G

Bb

b9

C#/Db

D

E

F

F#/Gb

G#/Ab

B

9

D

D#/Eb

F

F#/Gb

G

A

C

D#/Eb

E

F#/Gb

G

G#/Ab

A#/Bb

C#/Db

E

F

G

G#/Ab

A

B

D

4

F

F#/Gb

G#/Ab

A

A#/Bb

C

D#/Eb

b5

F#/Gb

G

A

A#/Bb

B

C#/Db

E

5

G

G#/Ab

A#/Bb

B

C

D

F

+5

G#/Ab

A

B

C

C#/Db

D#/Eb

F#/Gb

6

A

A#/Bb

C

C#/Db

D

E

G

b7

A#/Bb

B

C#/Db

D

D#/Eb

F

G#/Ab

B

C

D

D#/Eb

E

F#/Gb

A

1

C

C#/Db

D#/Eb

E

F

G

A#/Bb

b9

C#/Db

D

E

F

F#/Gb

G#/Ab

B

9

D

D#/Eb

F

F#/Gb

G

A

C

+9

D#/Eb

E

F#/Gb

G

G#/Ab

A#/Bb

C#/Db

3

E

F

G

G#/Ab

A

B

D

11

F

F#/Gb

G#/Ab

A

A#/Bb

C

D#/Eb

+11

F#/Gb

G

A

A#/Bb

B

C#/Db

E

G

G#/Ab

A#/Bb

B

C

D

F

b13

G#/Ab

A

B

C

C#/Db

D#/Eb

F#/Gb

13

A

A#/Bb

C

C#/Db

D

E

G

b7

A#/Bb

B

C#/Db

D

D#/Eb

F

G#/Ab

B

C

D

D#/Eb

E

F#/Gb

A

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

260

151. 1121232* Scale tone Chord tone

151. 1121232

152. 1212321

153. 2123211

154. 1232112

155. 2321121

156. 3211212

157. 2112123

I

II

III

IV

V

VI

VII

1

C

Db

D

E

F

G

Bb

b9

C#/Db

D

D#/Eb

F

F#/Gb

G#/Ab

B

9

D

D#/Eb

E

F#/Gb

G

A

C

D#/Eb

E

F

G

G#/Ab

A#/Bb

C#/Db

E

F

F#/Gb

G#/Ab

A

B

D

4

F

F#/Gb

G

A

A#/Bb

C

D#/Eb

b5

F#/Gb

G

G#/Ab

A#/Bb

B

C#/Db

E

5

G

G#/Ab

A

B

C

D

F

+5

G#/Ab

A

A#/Bb

C

C#/Db

D#/Eb

F#/Gb

6

A

A#/Bb

B

C#/Db

D

E

G

b7

A#/Bb

B

C

D

D#/Eb

F

G#/Ab

B

C

C#/Db

D#/Eb

E

F#/Gb

A

1

C

C#/Db

D

E

F

G

A#/Bb

b9

C#/Db

D

D#/Eb

F

F#/Gb

G#/Ab

B

9

D

D#/Eb

E

F#/Gb

G

A

C

+9

D#/Eb

E

F

G

G#/Ab

A#/Bb

C#/Db

3

E

F

F#/Gb

G#/Ab

A

B

D

11

F

F#/Gb

G

A

A#/Bb

C

D#/Eb

+11

F#/Gb

G

G#/Ab

A#/Bb

B

C#/Db

E

G

G#/Ab

A

B

C

D

F

b13

G#/Ab

A

A#/Bb

C

C#/Db

D#/Eb

F#/Gb

13

A

A#/Bb

B

C#/Db

D

E

G

b7

A#/Bb

B

C

D

D#/Eb

F

G#/Ab

B

C

C#/Db

D#/Eb

E

F#/Gb

A

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

261

158. 2211213* Scale tone Chord tone

158. 2211213

159. 2112132

160. 1121322

161. 1213221

162. 2132211

163. 1322112

164. 3221121

I

II

III

IV

V

VI

VII

1

C

D

E

F

Gb

Ab

A

b9

C#/Db

D#/Eb

F

F#/Gb

G

A

A#/Bb

9

D

E

F#/Gb

G

G#/Ab

A#/Bb

B

D#/Eb

F

G

G#/Ab

A

B

C

E

F#/Gb

G#/Ab

A

A#/Bb

C

C#/Db

4

F

G

A

A#/Bb

B

C#/Db

D

b5

F#/Gb

G#/Ab

A#/Bb

B

C

D

D#/Eb

5

G

A

B

C

C#/Db

D#/Eb

E

+5

G#/Ab

A#/Bb

C

C#/Db

D

E

F

6

A

B

C#/Db

D

D#/Eb

F

F#/Gb

b7

A#/Bb

C

D

D#/Eb

E

F#/Gb

G

B

C#/Db

D#/Eb

E

F

G

G#/Ab

1

C

D

E

F

F#/Gb

G#/Ab

A

b9

C#/Db

D#/Eb

F

F#/Gb

G

A

A#/Bb

9

D

E

F#/Gb

G

G#/Ab

A#/Bb

B

+9

D#/Eb

F

G

G#/Ab

A

B

C

3

E

F#/Gb

G#/Ab

A

A#/Bb

C

C#/Db

11

F

G

A

A#/Bb

B

C#/Db

D

+11

F#/Gb

G#/Ab

A#/Bb

B

C

D

D#/Eb

G

A

B

C

C#/Db

D#/Eb

E

b13

G#/Ab

A#/Bb

C

C#/Db

D

E

F

13

A

B

C#/Db

D

D#/Eb

F

F#/Gb

b7

A#/Bb

C

D

D#/Eb

E

F#/Gb

G

B

C#/Db

D#/Eb

E

F

G

G#/Ab

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

262

165. 2212113* Scale tone Chord tone

165. 2212113

166. 2121132

167. 1211322

168. 2113221

169. 1132212

170. 1322121

171. 3221211

I

II

III

IV

V

VI

VII

1

C

D

E

F

G

Ab

A

b9

C#/Db

D#/Eb

F

F#/Gb

G#/Ab

A

A#/Bb

9

D

E

F#/Gb

G

A

A#/Bb

B

D#/Eb

F

G

G#/Ab

A#/Bb

B

C

E

F#/Gb

G#/Ab

A

B

C

C#/Db

4

F

G

A

A#/Bb

C

C#/Db

D

b5

F#/Gb

G#/Ab

A#/Bb

B

C#/Db

D

D#/Eb

5

G

A

B

C

D

D#/Eb

E

+5

G#/Ab

A#/Bb

C

C#/Db

D#/Eb

E

F

6

A

B

C#/Db

D

E

F

F#/Gb

b7

A#/Bb

C

D

D#/Eb

F

F#/Gb

G

B

C#/Db

D#/Eb

E

F#/Gb

G

G#/Ab

1

C

D

E

F

G

G#/Ab

A

b9

C#/Db

D#/Eb

F

F#/Gb

G#/Ab

A

A#/Bb

9

D

E

F#/Gb

G

A

A#/Bb

B

+9

D#/Eb

F

G

G#/Ab

A#/Bb

B

C

3

E

F#/Gb

G#/Ab

A

B

C

C#/Db

11

F

G

A

A#/Bb

C

C#/Db

D

+11

F#/Gb

G#/Ab

A#/Bb

B

C#/Db

D

D#/Eb

G

A

B

C

D

D#/Eb

E

b13

G#/Ab

A#/Bb

C

C#/Db

D#/Eb

E

F

13

A

B

C#/Db

D

E

F

F#/Gb

b7

A#/Bb

C

D

D#/Eb

F

F#/Gb

G

B

C#/Db

D#/Eb

E

F#/Gb

G

G#/Ab

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

263

172. Hungarian Minor: 2131131* Scale tone Chord tone

172. Humngarian Minor

173. Orienta

174. Ionian #2#5

175. Locrian bb3bb7

176. Double Harmonic Major

177. Lydian #2#6

178. Ultraphrygian

I

II

III

IV

V

VI

VII

1

C

D

Eb

F#

G

Ab

B

b9

C#/Db

D#/Eb

E

G

G#/Ab

A

C

9

D

E

F

G#/Ab

A

A#/Bb

C#/Db

D#/Eb

F

F#/Gb

A

A#/Bb

B

D

E

F#/Gb

G

A#/Bb

B

C

D#/Eb

4

F

G

G#/Ab

B

C

C#/Db

E

b5

F#/Gb

G#/Ab

A

C

C#/Db

D

F

5

G

A

A#/Bb

C#/Db

D

D#/Eb

F#/Gb

+5

G#/Ab

A#/Bb

B

D

D#/Eb

E

G

6

A

B

C

D#/Eb

E

F

G#/Ab

b7

A#/Bb

C

C#/Db

E

F

F#/Gb

A

B

C#/Db

D

F

F#/Gb

G

A#/Bb

1

C

D

D#/Eb

F#/Gb

G

G#/Ab

B

b9

C#/Db

D#/Eb

E

G

G#/Ab

A

C

9

D

E

F

G#/Ab

A

A#/Bb

C#/Db

+9

D#/Eb

F

F#/Gb

A

A#/Bb

B

D

3

E

F#/Gb

G

A#/Bb

B

C

D#/Eb

11

F

G

G#/Ab

B

C

C#/Db

E

+11

F#/Gb

G#/Ab

A

C

C#/Db

D

F

G

A

A#/Bb

C#/Db

D

D#/Eb

F#/Gb

b13

G#/Ab

A#/Bb

B

D

D#/Eb

E

G

13

A

B

C

D#/Eb

E

F

G#/Ab

b7

A#/Bb

C

C#/Db

E

F

F#/Gb

A

B

C#/Db

D

F

F#/Gb

G

A#/Bb

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

264

179. 1321131* Scale tone Chord tone

179. 1321131

180. 3211311

181. 2113113

182. 1131132

183. 1311321

184. 3113211

185. 1132113

I

II

III

IV

V

VI

VII

1

C

Db

E

F#

G

Ab

B

b9

C#/Db

D

F

G

G#/Ab

A

C

9

D

D#/Eb

F#/Gb

G#/Ab

A

A#/Bb

C#/Db

D#/Eb

E

G

A

A#/Bb

B

D

E

F

G#/Ab

A#/Bb

B

C

D#/Eb

4

F

F#/Gb

A

B

C

C#/Db

E

b5

F#/Gb

G

A#/Bb

C

C#/Db

D

F

5

G

G#/Ab

B

C#/Db

D

D#/Eb

F#/Gb

+5

G#/Ab

A

C

D

D#/Eb

E

G

6

A

A#/Bb

C#/Db

D#/Eb

E

F

G#/Ab

b7

A#/Bb

B

D

E

F

F#/Gb

A

B

C

D#/Eb

F

F#/Gb

G

A#/Bb

1

C

C#/Db

E

F#/Gb

G

G#/Ab

B

b9

C#/Db

D

F

G

G#/Ab

A

C

9

D

D#/Eb

F#/Gb

G#/Ab

A

A#/Bb

C#/Db

+9

D#/Eb

E

G

A

A#/Bb

B

D

3

E

F

G#/Ab

A#/Bb

B

C

D#/Eb

11

F

F#/Gb

A

B

C

C#/Db

E

+11

F#/Gb

G

A#/Bb

C

C#/Db

D

F

G

G#/Ab

B

C#/Db

D

D#/Eb

F#/Gb

b13

G#/Ab

A

C

D

D#/Eb

E

G

13

A

A#/Bb

C#/Db

D#/Eb

E

F

G#/Ab

b7

A#/Bb

B

D

E

F

F#/Gb

A

B

C

D#/Eb

F

F#/Gb

G

A#/Bb

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

265

186. 1231131* Scale tone Chord tone

186. 1231131

187. 2311311

188. 3113112

189. 1131123

190. 1311231

191. 3112311

192. 1123113

I

II

III

IV

V

VI

VII

1

C

Db

Eb

F#

G

Ab

B

b9

C#/Db

D

E

G

G#/Ab

A

C

9

D

D#/Eb

F

G#/Ab

A

A#/Bb

C#/Db

D#/Eb

E

F#/Gb

A

A#/Bb

B

D

E

F

G

A#/Bb

B

C

D#/Eb

4

F

F#/Gb

G#/Ab

B

C

C#/Db

E

b5

F#/Gb

G

A

C

C#/Db

D

F

5

G

G#/Ab

A#/Bb

C#/Db

D

D#/Eb

F#/Gb

+5

G#/Ab

A

B

D

D#/Eb

E

G

6

A

A#/Bb

C

D#/Eb

E

F

G#/Ab

b7

A#/Bb

B

C#/Db

E

F

F#/Gb

A

B

C

D

F

F#/Gb

G

A#/Bb

1

C

C#/Db

D#/Eb

F#/Gb

G

G#/Ab

B

b9

C#/Db

D

E

G

G#/Ab

A

C

9

D

D#/Eb

F

G#/Ab

A

A#/Bb

C#/Db

+9

D#/Eb

E

F#/Gb

A

A#/Bb

B

D

3

E

F

G

A#/Bb

B

C

D#/Eb

11

F

F#/Gb

G#/Ab

B

C

C#/Db

E

+11

F#/Gb

G

A

C

C#/Db

D

F

G

G#/Ab

A#/Bb

C#/Db

D

D#/Eb

F#/Gb

b13

G#/Ab

A

B

D

D#/Eb

E

G

13

A

A#/Bb

C

D#/Eb

E

F

G#/Ab

b7

A#/Bb

B

C#/Db

E

F

F#/Gb

A

B

C

D

F

F#/Gb

G

A#/Bb

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

266

193. 1111233 Scale tone Chord tone

193. 1111233

194. 1112331

195. 1123311

196. 1233111

197. 2331111

198. 3311112

199. 3111123

I

II

III

IV

V

VI

VII

1

C

Db

D

Eb

E

F#

A

b9

C#/Db

D

D#/Eb

E

F

G

A#/Bb

9

D

D#/Eb

E

F

F#/Gb

G#/Ab

B

D#/Eb

E

F

F#/Gb

G

A

C

E

F

F#/Gb

G

G#/Ab

A#/Bb

C#/Db

4

F

F#/Gb

G

G#/Ab

A

B

D

b5

F#/Gb

G

G#/Ab

A

A#/Bb

C

D#/Eb

5

G

G#/Ab

A

A#/Bb

B

C#/Db

E

+5

G#/Ab

A

A#/Bb

B

C

D

F

6

A

A#/Bb

B

C

C#/Db

D#/Eb

F#/Gb

b7

A#/Bb

B

C

C#/Db

D

E

G

B

C

C#/Db

D

D#/Eb

F

G#/Ab

1

C

C#/Db

D

D#/Eb

E

F#/Gb

A

b9

C#/Db

D

D#/Eb

E

F

G

A#/Bb

9

D

D#/Eb

E

F

F#/Gb

G#/Ab

B

+9

D#/Eb

E

F

F#/Gb

G

A

C

3

E

F

F#/Gb

G

G#/Ab

A#/Bb

C#/Db

11

F

F#/Gb

G

G#/Ab

A

B

D

+11

F#/Gb

G

G#/Ab

A

A#/Bb

C

D#/Eb

G

G#/Ab

A

A#/Bb

B

C#/Db

E

b13

G#/Ab

A

A#/Bb

B

C

D

F

13

A

A#/Bb

B

C

C#/Db

D#/Eb

F#/Gb

b7

A#/Bb

B

C

C#/Db

D

E

G

B

C

C#/Db

D

D#/Eb

F

G#/Ab

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

267

200. 1111323 Scale tone Chord tone

200. 1111323

201. 1113231

202. 1132311

203. 1323111

204. 3231111

205. 2311113

206. 3111132

I

II

III

IV

V

VI

VII

1

C

Db

D

Eb

E

G

A

b9

C#/Db

D

D#/Eb

E

F

G#/Ab

A#/Bb

9

D

D#/Eb

E

F

F#/Gb

A

B

D#/Eb

E

F

F#/Gb

G

A#/Bb

C

E

F

F#/Gb

G

G#/Ab

B

C#/Db

4

F

F#/Gb

G

G#/Ab

A

C

D

b5

F#/Gb

G

G#/Ab

A

A#/Bb

C#/Db

D#/Eb

5

G

G#/Ab

A

A#/Bb

B

D

E

+5

G#/Ab

A

A#/Bb

B

C

D#/Eb

F

6

A

A#/Bb

B

C

C#/Db

E

F#/Gb

b7

A#/Bb

B

C

C#/Db

D

F

G

B

C

C#/Db

D

D#/Eb

F#/Gb

G#/Ab

1

C

C#/Db

D

D#/Eb

E

G

A

b9

C#/Db

D

D#/Eb

E

F

G#/Ab

A#/Bb

9

D

D#/Eb

E

F

F#/Gb

A

B

+9

D#/Eb

E

F

F#/Gb

G

A#/Bb

C

3

E

F

F#/Gb

G

G#/Ab

B

C#/Db

11

F

F#/Gb

G

G#/Ab

A

C

D

+11

F#/Gb

G

G#/Ab

A

A#/Bb

C#/Db

D#/Eb

G

G#/Ab

A

A#/Bb

B

D

E

b13

G#/Ab

A

A#/Bb

B

C

D#/Eb

F

13

A

A#/Bb

B

C

C#/Db

E

F#/Gb

b7

A#/Bb

B

C

C#/Db

D

F

G

B

C

C#/Db

D

D#/Eb

F#/Gb

G#/Ab

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

268

207. 1111332 Scale tone Chord tone

207. 1111332

208. 1113321

209. 1133211

210. 1332111

211. 3321111

212. 3211113

213. 2111133

I

II

III

IV

V

VI

VII

1

C

Db

D

Eb

E

G

Bb

b9

C#/Db

D

D#/Eb

E

F

G#/Ab

B

9

D

D#/Eb

E

F

F#/Gb

A

C

D#/Eb

E

F

F#/Gb

G

A#/Bb

C#/Db

E

F

F#/Gb

G

G#/Ab

B

D

4

F

F#/Gb

G

G#/Ab

A

C

D#/Eb

b5

F#/Gb

G

G#/Ab

A

A#/Bb

C#/Db

E

5

G

G#/Ab

A

A#/Bb

B

D

F

+5

G#/Ab

A

A#/Bb

B

C

D#/Eb

F#/Gb

6

A

A#/Bb

B

C

C#/Db

E

G

b7

A#/Bb

B

C

C#/Db

D

F

G#/Ab

B

C

C#/Db

D

D#/Eb

F#/Gb

A

1

C

C#/Db

D

D#/Eb

E

G

A#/Bb

b9

C#/Db

D

D#/Eb

E

F

G#/Ab

B

9

D

D#/Eb

E

F

F#/Gb

A

C

+9

D#/Eb

E

F

F#/Gb

G

A#/Bb

C#/Db

3

E

F

F#/Gb

G

G#/Ab

B

D

11

F

F#/Gb

G

G#/Ab

A

C

D#/Eb

+11

F#/Gb

G

G#/Ab

A

A#/Bb

C#/Db

E

G

G#/Ab

A

A#/Bb

B

D

F

b13

G#/Ab

A

A#/Bb

B

C

D#/Eb

F#/Gb

13

A

A#/Bb

B

C

C#/Db

E

G

b7

A#/Bb

B

C

C#/Db

D

F

G#/Ab

B

C

C#/Db

D

D#/Eb

F#/Gb

A

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

269

214. 1112133* Scale tone Chord tone

214. 1112133

215. 1121331

216. 1213311

217. 2133111

218. 1331112

219. 3311121

220. 3111213

I

II

III

IV

V

VI

VII

1

C

Db

D

Eb

F

Gb

A

b9

C#/Db

D

D#/Eb

E

F#/Gb

A

A#/Bb

9

D

D#/Eb

E

F

G

A#/Bb

B

D#/Eb

E

F

F#/Gb

G#/Ab

B

C

E

F

F#/Gb

G

A

C

C#/Db

4

F

F#/Gb

G

G#/Ab

A#/Bb

C#/Db

D

b5

F#/Gb

G

G#/Ab

A

B

D

D#/Eb

5

G

G#/Ab

A

A#/Bb

C

D#/Eb

E

+5

G#/Ab

A

A#/Bb

B

C#/Db

E

F

6

A

A#/Bb

B

C

D

F

F#/Gb

b7

A#/Bb

B

C

C#/Db

D#/Eb

F#/Gb

G

B

C

C#/Db

D

E

G

G#/Ab

1

C

C#/Db

D

D#/Eb

F

G#/Ab

A

b9

C#/Db

D

D#/Eb

E

F#/Gb

A

A#/Bb

9

D

D#/Eb

E

F

G

A#/Bb

B

+9

D#/Eb

E

F

F#/Gb

G#/Ab

B

C

3

E

F

F#/Gb

G

A

C

C#/Db

11

F

F#/Gb

G

G#/Ab

A#/Bb

C#/Db

D

+11

F#/Gb

G

G#/Ab

A

B

D

D#/Eb

G

G#/Ab

A

A#/Bb

C

D#/Eb

E

b13

G#/Ab

A

A#/Bb

B

C#/Db

E

F

13

A

A#/Bb

B

C

D

F

F#/Gb

b7

A#/Bb

B

C

C#/Db

D#/Eb

F#/Gb

G

B

C

C#/Db

D

E

G

G#/Ab

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

270

221. 1112313* Scale tone Chord tone

221. 1112313

222. 1123131

223. 1231311

224. 2313111

225. 3131112

226. 1311123

227. 3111231

I

II

III

IV

V

VI

VII

1

C

Db

D

Eb

F

G#

A

b9

C#/Db

D

D#/Eb

E

F#/Gb

A

A#/Bb

9

D

D#/Eb

E

F

G

A#/Bb

B

D#/Eb

E

F

F#/Gb

G#/Ab

B

C

E

F

F#/Gb

G

A

C

C#/Db

4

F

F#/Gb

G

G#/Ab

A#/Bb

C#/Db

D

b5

F#/Gb

G

G#/Ab

A

B

D

D#/Eb

5

G

G#/Ab

A

A#/Bb

C

D#/Eb

E

+5

G#/Ab

A

A#/Bb

B

C#/Db

E

F

6

A

A#/Bb

B

C

D

F

F#/Gb

b7

A#/Bb

B

C

C#/Db

D#/Eb

F#/Gb

G

B

C

C#/Db

D

E

G

G#/Ab

1

C

C#/Db

D

D#/Eb

F

G#/Ab

A

b9

C#/Db

D

D#/Eb

E

F#/Gb

A

A#/Bb

9

D

D#/Eb

E

F

G

A#/Bb

B

+9

D#/Eb

E

F

F#/Gb

G#/Ab

B

C

3

E

F

F#/Gb

G

A

C

C#/Db

11

F

F#/Gb

G

G#/Ab

A#/Bb

C#/Db

D

+11

F#/Gb

G

G#/Ab

A

B

D

D#/Eb

G

G#/Ab

A

A#/Bb

C

D#/Eb

E

b13

G#/Ab

A

A#/Bb

B

C#/Db

E

F

13

A

A#/Bb

B

C

D

F

F#/Gb

b7

A#/Bb

B

C

C#/Db

D#/Eb

F#/Gb

G

B

C

C#/Db

D

E

G

G#/Ab

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

271

228. 1113123* Scale tone Chord tone

228. 1113123

229. 1131231

230. 1312311

231. 3123111

232. 1231113

233. 2311131

234. 3111312

I

II

III

IV

V

VI

VII

1

C

Db

D

Eb

F#

G

A

b9

C#/Db

D

D#/Eb

E

G

G#/Ab

A#/Bb

9

D

D#/Eb

E

F

G#/Ab

A

B

D#/Eb

E

F

F#/Gb

A

A#/Bb

C

E

F

F#/Gb

G

A#/Bb

B

C#/Db

4

F

F#/Gb

G

G#/Ab

B

C

D

b5

F#/Gb

G

G#/Ab

A

C

C#/Db

D#/Eb

5

G

G#/Ab

A

A#/Bb

C#/Db

D

E

+5

G#/Ab

A

A#/Bb

B

D

D#/Eb

F

6

A

A#/Bb

B

C

D#/Eb

E

F#/Gb

b7

A#/Bb

B

C

C#/Db

E

F

G

B

C

C#/Db

D

F

F#/Gb

G#/Ab

1

C

C#/Db

D

D#/Eb

F#/Gb

G

A

b9

C#/Db

D

D#/Eb

E

G

G#/Ab

A#/Bb

9

D

D#/Eb

E

F

G#/Ab

A

B

+9

D#/Eb

E

F

F#/Gb

A

A#/Bb

C

3

E

F

F#/Gb

G

A#/Bb

B

C#/Db

11

F

F#/Gb

G

G#/Ab

B

C

D

+11

F#/Gb

G

G#/Ab

A

C

C#/Db

D#/Eb

G

G#/Ab

A

A#/Bb

C#/Db

D

E

b13

G#/Ab

A

A#/Bb

B

D

D#/Eb

F

13

A

A#/Bb

B

C

D#/Eb

E

F#/Gb

b7

A#/Bb

B

C

C#/Db

E

F

G

B

C

C#/Db

D

F

F#/Gb

G#/Ab

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

272

235. 1113132* Scale tone Chord tone

235. 1113132

236. 1131321

237. 1313211

238. 3132111

239. 1321113

240. 3211131

241. 2111313

I

II

III

IV

V

VI

VII

1

C

Db

D

Eb

Gb

G

Bb

b9

C#/Db

D

D#/Eb

E

G

G#/Ab

B

9

D

D#/Eb

E

F

G#/Ab

A

C

D#/Eb

E

F

F#/Gb

A

A#/Bb

C#/Db

E

F

F#/Gb

G

A#/Bb

B

D

4

F

F#/Gb

G

G#/Ab

B

C

D#/Eb

b5

F#/Gb

G

G#/Ab

A

C

C#/Db

E

5

G

G#/Ab

A

A#/Bb

C#/Db

D

F

+5

G#/Ab

A

A#/Bb

B

D

D#/Eb

F#/Gb

6

A

A#/Bb

B

C

D#/Eb

E

G

b7

A#/Bb

B

C

C#/Db

E

F

G#/Ab

B

C

C#/Db

D

F

F#/Gb

A

1

C

C#/Db

D

D#/Eb

F#/Gb

G

A#/Bb

b9

C#/Db

D

D#/Eb

E

G

G#/Ab

B

9

D

D#/Eb

E

F

G#/Ab

A

C

+9

D#/Eb

E

F

F#/Gb

A

A#/Bb

C#/Db

3

E

F

F#/Gb

G

A#/Bb

B

D

11

F

F#/Gb

G

G#/Ab

B

C

D#/Eb

+11

F#/Gb

G

G#/Ab

A

C

C#/Db

E

G

G#/Ab

A

A#/Bb

C#/Db

D

F

b13

G#/Ab

A

A#/Bb

B

D

D#/Eb

F#/Gb

13

A

A#/Bb

B

C

D#/Eb

E

G

b7

A#/Bb

B

C

C#/Db

E

F

G#/Ab

B

C

C#/Db

D

F

F#/Gb

A

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

273

242. 1113213* Scale tone Chord tone

242. 1113213

243. 1132131

244. 1321311

245. 3213111

246. 2131113

247. 1311132

248. 3111321

I

II

III

IV

V

VI

VII

1

C

Db

D

Eb

F#

G#

A

b9

C#/Db

D

D#/Eb

E

G

A

A#/Bb

9

D

D#/Eb

E

F

G#/Ab

A#/Bb

B

D#/Eb

E

F

F#/Gb

A

B

C

E

F

F#/Gb

G

A#/Bb

C

C#/Db

4

F

F#/Gb

G

G#/Ab

B

C#/Db

D

b5

F#/Gb

G

G#/Ab

A

C

D

D#/Eb

5

G

G#/Ab

A

A#/Bb

C#/Db

D#/Eb

E

+5

G#/Ab

A

A#/Bb

B

D

E

F

6

A

A#/Bb

B

C

D#/Eb

F

F#/Gb

b7

A#/Bb

B

C

C#/Db

E

F#/Gb

G

B

C

C#/Db

D

F

G

G#/Ab

1

C

C#/Db

D

D#/Eb

F#/Gb

G#/Ab

A

b9

C#/Db

D

D#/Eb

E

G

A

A#/Bb

9

D

D#/Eb

E

F

G#/Ab

A#/Bb

B

+9

D#/Eb

E

F

F#/Gb

A

B

C

3

E

F

F#/Gb

G

A#/Bb

C

C#/Db

11

F

F#/Gb

G

G#/Ab

B

C#/Db

D

+11

F#/Gb

G

G#/Ab

A

C

D

D#/Eb

G

G#/Ab

A

A#/Bb

C#/Db

D#/Eb

E

b13

G#/Ab

A

A#/Bb

B

D

E

F

13

A

A#/Bb

B

C

D#/Eb

F

F#/Gb

b7

A#/Bb

B

C

C#/Db

E

F#/Gb

G

B

C

C#/Db

D

F

G

G#/Ab

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

274

249. 1113312* Scale tone Chord tone

249. 1113312

250. 1133121

251. 1331211

252. 3312111

253. 3121113

254. 1211133

255. 2111331

I

II

III

IV

V

VI

VII

1

C

Db

D

Eb

F#

A

Bb

b9

C#/Db

D

D#/Eb

E

G

A#/Bb

B

9

D

D#/Eb

E

F

G#/Ab

B

C

D#/Eb

E

F

F#/Gb

A

C

C#/Db

E

F

F#/Gb

G

A#/Bb

C#/Db

D

4

F

F#/Gb

G

G#/Ab

B

D

D#/Eb

b5

F#/Gb

G

G#/Ab

A

C

D#/Eb

E

5

G

G#/Ab

A

A#/Bb

C#/Db

E

F

+5

G#/Ab

A

A#/Bb

B

D

F

F#/Gb

6

A

A#/Bb

B

C

D#/Eb

F#/Gb

G

b7

A#/Bb

B

C

C#/Db

E

G

G#/Ab

B

C

C#/Db

D

F

G#/Ab

A

1

C

C#/Db

D

D#/Eb

F#/Gb

A

A#/Bb

b9

C#/Db

D

D#/Eb

E

G

A#/Bb

B

9

D

D#/Eb

E

F

G#/Ab

B

C

+9

D#/Eb

E

F

F#/Gb

A

C

C#/Db

3

E

F

F#/Gb

G

A#/Bb

C#/Db

D

11

F

F#/Gb

G

G#/Ab

B

D

D#/Eb

+11

F#/Gb

G

G#/Ab

A

C

D#/Eb

E

G

G#/Ab

A

A#/Bb

C#/Db

E

F

b13

G#/Ab

A

A#/Bb

B

D

F

F#/Gb

13

A

A#/Bb

B

C

D#/Eb

F#/Gb

G

b7

A#/Bb

B

C

C#/Db

E

G

G#/Ab

B

C

C#/Db

D

F

G#/Ab

A

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

275

256. 1121133* Scale tone Chord tone

256. 1121133

257. 1211331

258. 2113311

259. 1133112

260. 1331121

261. 3311211

262. 3112113

I

II

III

IV

V

VI

VII

1

C

Db

D

E

F

Gb

A

b9

C#/Db

D

D#/Eb

F

F#/Gb

G

A#/Bb

9

D

D#/Eb

E

F#/Gb

G

G#/Ab

B

D#/Eb

E

F

G

G#/Ab

A

C

E

F

F#/Gb

G#/Ab

A

A#/Bb

C#/Db

4

F

F#/Gb

G

A

A#/Bb

B

D

b5

F#/Gb

G

G#/Ab

A#/Bb

B

C

D#/Eb

5

G

G#/Ab

A

B

C

C#/Db

E

+5

G#/Ab

A

A#/Bb

C

C#/Db

D

F

6

A

A#/Bb

B

C#/Db

D

D#/Eb

F#/Gb

b7

A#/Bb

B

C

D

D#/Eb

E

G

B

C

C#/Db

D#/Eb

E

F

G#/Ab

1

C

C#/Db

D

E

F

F#/Gb

A

b9

C#/Db

D

D#/Eb

F

F#/Gb

G

A#/Bb

9

D

D#/Eb

E

F#/Gb

G

G#/Ab

B

+9

D#/Eb

E

F

G

G#/Ab

A

C

3

E

F

F#/Gb

G#/Ab

A

A#/Bb

C#/Db

11

F

F#/Gb

G

A

A#/Bb

B

D

+11

F#/Gb

G

G#/Ab

A#/Bb

B

C

D#/Eb

G

G#/Ab

A

B

C

C#/Db

E

b13

G#/Ab

A

A#/Bb

C

C#/Db

D

F

13

A

A#/Bb

B

C#/Db

D

D#/Eb

F#/Gb

b7

A#/Bb

B

C

D

D#/Eb

E

G

B

C

C#/Db

D#/Eb

E

F

G#/Ab

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

276

263. 3131121* Scale tone Chord tone

263. 3131121

264. 1311213

265. 3112131

266. 1121313

267. 1213131

268. 2131311

269. 1313112

I

II

III

IV

V

VI

VII

1

C

Eb

E

G

Ab

A

B

b9

C#/Db

E

F

G#/Ab

A

A#/Bb

C

9

D

F

F#/Gb

A

A#/Bb

B

C#/Db

D#/Eb

F#/Gb

G

A#/Bb

B

C

D

E

G

G#/Ab

B

C

C#/Db

D#/Eb

4

F

G#/Ab

A

C

C#/Db

D

E

b5

F#/Gb

A

A#/Bb

C#/Db

D

D#/Eb

F

5

G

A#/Bb

B

D

D#/Eb

E

F#/Gb

+5

G#/Ab

B

C

D#/Eb

E

F

G

6

A

C

C#/Db

E

F

F#/Gb

G#/Ab

b7

A#/Bb

C#/Db

D

F

F#/Gb

G

A

B

D

D#/Eb

F#/Gb

G

G#/Ab

A#/Bb

1

C

D#/Eb

E

G

G#/Ab

A

B

b9

C#/Db

E

F

G#/Ab

A

A#/Bb

C

9

D

F

F#/Gb

A

A#/Bb

B

C#/Db

+9

D#/Eb

F#/Gb

G

A#/Bb

B

C

D

3

E

G

G#/Ab

B

C

C#/Db

D#/Eb

11

F

G#/Ab

A

C

C#/Db

D

E

+11

F#/Gb

A

A#/Bb

C#/Db

D

D#/Eb

F

G

A#/Bb

B

D

D#/Eb

E

F#/Gb

b13

G#/Ab

B

C

D#/Eb

E

F

G

13

A

C

C#/Db

E

F

F#/Gb

G#/Ab

b7

A#/Bb

C#/Db

D

F

F#/Gb

G

A

B

D

D#/Eb

F#/Gb

G

G#/Ab

A#/Bb

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

277

270. 1131312* Scale tone Chord tone

270. 1131312

271. 1313121

272. 3131211

273. 1312113

274. 3121131

275. 1211313

276. 2113131

I

II

III

IV

V

VI

VII

1

C

Db

D

F

Gb

A

Bb

b9

C#/Db

D

D#/Eb

F#/Gb

G

A#/Bb

B

9

D

D#/Eb

E

G

G#/Ab

B

C

D#/Eb

E

F

G#/Ab

A

C

C#/Db

E

F

F#/Gb

A

A#/Bb

C#/Db

D

4

F

F#/Gb

G

A#/Bb

B

D

D#/Eb

b5

F#/Gb

G

G#/Ab

B

C

D#/Eb

E

5

G

G#/Ab

A

C

C#/Db

E

F

+5

G#/Ab

A

A#/Bb

C#/Db

D

F

F#/Gb

6

A

A#/Bb

B

D

D#/Eb

F#/Gb

G

b7

A#/Bb

B

C

D#/Eb

E

G

G#/Ab

B

C

C#/Db

E

F

G#/Ab

A

1

C

C#/Db

D

F

F#/Gb

A

A#/Bb

b9

C#/Db

D

D#/Eb

F#/Gb

G

A#/Bb

B

9

D

D#/Eb

E

G

G#/Ab

B

C

+9

D#/Eb

E

F

G#/Ab

A

C

C#/Db

3

E

F

F#/Gb

A

A#/Bb

C#/Db

D

11

F

F#/Gb

G

A#/Bb

B

D

D#/Eb

+11

F#/Gb

G

G#/Ab

B

C

D#/Eb

E

G

G#/Ab

A

C

C#/Db

E

F

b13

G#/Ab

A

A#/Bb

C#/Db

D

F

F#/Gb

13

A

A#/Bb

B

D

D#/Eb

F#/Gb

G

b7

A#/Bb

B

C

D#/Eb

E

G

G#/Ab

B

C

C#/Db

E

F

G#/Ab

A

m3

5

*Intervallic structure, ie, the number of half-steps (half tones) between notes in the scale.

278

index of scales Part 1 (generally useful scales) Topology 5.1 (2,2,2,3,3) Scale 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

Name or structure Pentatonic Minor Pentatonic Major Yo Man Gong Ritusen Pentatonic Lydian 22332 23322 33222 32223

Numeric check 3223232232 2232322323 2323223232 3232232322 2322323223 2223322233 2233222332 2332223322 3322233222 3222332223

Topology 7.1 (1,1,2,2,2,2,2)

 scale incorporates Pentatonic Minor 32232  scale incorporates Pentatonic Lydian 32232 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31.

Major/Ionian Dorian  Phrygian  Lydian  Mixolydian Aeolian  Locrian Melodic (Jazz) Minor Dorian b2  Lydian #5  Lydian b7  Mixolydian b6 Semilocrian Superlocrian Neapolitan Major Leading Whole Tone Lydian #5b7  Lydian b6b7 Major Locrian Semilocrian b4 Superlocrian bb3

22122212212221 21222122122212 12221221222122 22212212221221 22122122212212 21221222122122 12212221221222 21222212122221 12222121222212 22221212222121 22212122221212 22121222212122 21212222121222 12122221212222 12222211222221 22222112222211 22221122222112 22211222221122 22112222211222 21122222112222 11222221122222

Topology 7.2 (1,1,1,2,2,2,3) 32. 33. 34. 35. 36. 37.

Neapolitan Minor Lydian #6 Mixolydian #5 Hungarian Gypsy Locrian #3 Ionian #2

12221311222131 22213112221311 22131122213112 21311222131122 13112221311222 31122213112221

38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59. 60. 61. 62. 63. 64. 65. 66. 67. 68. 69. 70. 71. 72. 73. 74. 75. 76. 77. 78. 79. 80. 81. 82. 83. 84. 85. 86. 87. 88.

Ultralocrian bb3  Harmonic Major Dorian b5 Phrygian b4 Lydian b3 Mixolydian b2 Lydian #2#5 Locrian b7 Harmonic Minor Locrian #6 Ionian Augmented Romanian Phrygian Dominant Lydian #2 Ultralocrian Hungarian Major Superlocrian bb6bb7 Harmonic minor b5 Superlocrian #6 Melodic minor #5 Dorian b2#4 Lydian #3#5 Phrygian #4 Lydian #3 Mixolydian #2  Aeolian #1 Locrian #7 Ionian #6 Dorian #5 Ionian b2 Dorian b1 Phrygian b7 Lydian b6 Mixolydian b5  Aeolian b4 Locrian b3 Lydian b2 Mixolydian b1 Aeolian b7 Locrian b6  Ionian b5  Dorian b4 Phrygian b3 Lydian b3#5 1321212 3212121 2121213 1212132 2121321 1213212 Scala Enigmata

11222131122213 22121312212131 21213122121312 12131221213122 21312212131221 13122121312212 31221213122121 12212131221213 21221312122131 12213121221312 22131212213121 21312122131212 13121221312122 31212213121221 12122131212213 31212123121212 12121231212123 21212312121231 12123121212312 21231212123121 12312121231212 23121212312121 12311221231122 23112212311221 31122123112212 11221231122123 12212311221231 22123112212311 21231122123112 13122211312221 31222113122211 12221131222113 22211312221131 22113122211312 21131222113122 11312221131222 13212211321221 32122113212211 21221132122113 12211321221132 22113212211321 21132122113212 11321221132122 21321212132121 13212121321212 32121213212121 21212132121213 12121321212132 21213212121321 12132121213212 13222111322211

279

89. 90. 91. 92. 93. 94. 95. 96. 97. 98. 99. 100. 101. 102. 103. 104. 105. 106. 107. 108. 109. 110. 111. 112. 113. 114. 115. 116. 117. 118. 119. 120. 121. 122. 123. 124. 125. 126. 127. 128. 129. 130. 131. 132. 133. 134. 135. 136. 137. 138. 139.

3222111  2221113  2211132 2111322 1113222 1132221 2122311  1223112 2231121 2311212 3112122  1121223 1212231 1231221 2312211 3122112 1221123 2211231 2112312  1123122 1321122 3211221 2112213  1122132 1221321 2213211 2132112 2211123  2111232  1112322 1123221 1232211 2322111 3221112  1222311  2223111  2231112 2311122 3111222 1112223 1122231 2112231 1122312 1223121 2231211 2312112 3121122 1211223 1112232  1122321  1223211

32221113222111 22211132221113 22111322211132 21113222111322 11132221113222 11322211132221 21223112122311 12231121223112 22311212231121 23112122311212 31121223112122 11212231121223 12122311212231 12312211231221 23122112312211 31221123122112 12211231221123 22112312211231 21123122112312 11231221123122 13211221321122 32112213211221 21122132112213 11221321122132 12213211221321 22132112213211 21321122132112 22111232211123 21112322111232 11123221112322 11232211123221 12322111232211 23221112322111 32211123221112 12223111222311 22231112223111 22311122231112 23111222311122 31112223111222 11122231112223 11222311122231 21122312112231 11223121122312 12231211223121 22312112231211 23121122312112 31211223121122 12112231211223 11122321112232 11223211122321 12232111223211

140. 141. 142. 143. 144. 145. 146. 147. 148. 149. 150. 151. 152. 153. 154. 155. 156. 157. 158. 159. 160. 161. 162. 163. 164. 165. 166. 167. 168. 169. 170. 171.

2232111 2321112  3211122 2111223 1211232  2112321  1123212 1232121 2321211 3212112 2121123 1121232 1212321 2123211 1232112 2321121 3211212  2112123  2211213  2112132 1121322 1213221 2132211 1322112 3221121 2212113 2121132  1211322 2113221 1132212 1322121 3221211 

22321112232111 23211122321112 32111223211122 21112232111223 12112321211232 21123212112321 11232121123212 12321211232121 23212112321211 32121123212112 21211232121123 11212321121232 12123211212321 21232112123211 12321121232112 23211212321121 32112123211212 21121232112123 22112132211213 21121322112132 11213221121322 12132211213221 21322112132211 13221121322112 32211213221121 22121132212113 21211322121132 12113221211322 21132212113221 11322121132212 13221211322121 32212113221211

Topology 7.3 (1,1,1,1,2,3,3)

 scale incorporates Pentatonic Minor 32232  scale incorporates Pentatonic Lydian 32232 172. 173. 174. 175. 176. 177. 178. 179. 180. 181. 182. 183. 184. 185. 186.

Hungarian Minor Oriental Ionian #2#5 Locrian bb3bb7 Double Harmonic Major Lydian #2#6 Ultraphrygian 1321131 3211311  2113113 1131132 1311321 3113211 1132113 1231131

21311312131131 13113121311312 31131213113121 11312131131213 13121311312131 31213113121311 12131131213113 13211311321131 32113113211311 21131132113113 11311321131132 13113211311321 31132113113211 11321131132113 12311311231131

280

187. 188. 189. 190. 191. 192. 193. 194. 195. 196. 197. 198. 199. 200. 201. 202. 203. 204. 205. 206. 207. 208. 209. 210. 211. 212. 213. 214. 215. 216. 217. 218. 219. 220. 221. 222. 223. 224. 225. 226. 227. 228. 229. 230. 231. 232. 233. 234. 235. 236. 237.

2311311 3113112 1131123 1311231 3112311  1123113 1111233  1112331 1123311 1233111 2331111 3311112 3111123 1111323 1113231 1132311 1323111 3231111 2311113 3111132 1111332 1113321 1133211 1332111 3321111 3211113 2111133 1112133 1121331 1213311 2133111 1331112 3311121 3111213 1112313 1123131 1231311 2313111 3131112 1311123 3111231 1113123 1131231 1312311 3123111 1231113 2311131 3111312 1113132 1131321 1313211

23113112311311 31131123113112 11311231131123 13112311311231 31123113112311 11231131123113 11112331111233 11123311112331 11233111123311 12331111233111 23311112331111 33111123311112 31111233111123 11113231111323 11132311113231 11323111132311 13231111323111 32311113231111 23111132311113 31111323111132 11113321111332 11133211113321 11332111133211 13321111332111 33211113321111 32111133211113 21111332111133 11121331112133 11213311121331 12133111213311 21331112133111 13311121331112 33111213311121 31112133111213 11123131112313 11231311123131 12313111231311 23131112313111 31311123131112 13111231311123 31112313111231 11131231113123 11312311131231 13123111312311 31231113123111 12311131231113 23111312311131 31113123111312 11131321113132 11313211131321 13132111313211

238. 239. 240. 241. 242. 243. 244. 245. 246. 247. 248. 249. 250. 251. 252. 253. 254. 255. 256. 257. 258. 259. 260. 261. 262. 263. 264. 265. 266. 267. 268. 269. 270. 271. 272. 273. 274. 275. 276.

3132111 1321113 3211131 2111313 1113213 1132131 1321311 3213111 2131113 1311132 3111321 1113312 1133121 1331211 3312111 3121113 1211133 2111331 1121133 1211331 2113311 1133112 1331121 3311211 3112113 3131121 1311213 3112131 1121313 1213131 2131311 1313112 1131312 1313121 3131211 1312113 3121131 1211313 2113131

31321113132111 13211131321113 32111313211131 21113132111313 11132131113213 11321311132131 13213111321311 32131113213111 21311132131113 13111321311132 31113213111321 11133121113312 11331211133121 13312111331211 33121113312111 31211133121113 12111331211133 21113312111331 11211331121133 12113311211331 21133112113311 11331121133112 13311211331121 33112113311211 31121133112113 31311213131121 13112131311213 31121313112131 11213131121313 12131311213131 21313112131311 13131121313112 11313121131312 13131211313121 31312113131211 13121131312113 31211313121131 12113131211313 21131312113131

281

Part 2 (somewhat less useful and in some cases downright useless scales) Topology 5.2 (1,2,2,3,4) Scale 277. 278. 279. 280. 281. 282. 283. 284. 285. 286. 287. 288. 289. 290. 291. 292. 293. 294. 295. 296. 297. 298. 299. 300. 301. 302. 303. 304. 305. 306. 307. 308. 309. 310. 311. 312. 313. 314. 315. 316. 317. 318. 319. 320. 321.

Intervallic structure 12234 22341 23412 34122 41223 12243 22431 24312 43122 31224 12324 23241 32412 24123 41232 12342 23421 34212 42123 21234 12423 24231 42312 23124 31242 12432 24321 43212 32124 21243 13224 32241 22413 24132 41322 13242 32421 24213 42132 21324 13422 34221 42213 22134 21342

Numeric check 1223412234 2234122341 2341223412 3412234122 4122341223 1224312243 2243122431 2431224312 4312243122 3122431224 1232412324 2324123241 3241232412 2412324123 4123241232 1234212342 2342123421 3421234212 4212342123 2123421234 1242312423 2423124231 4231242312 2312423124 3124231242 1243212432 2432124321 4321243212 3212432124 2124321243 1322413224 3224132241 2241322413 2413224132 4132241322 1324213242 3242132421 2421324213 4213242132 2132421324 1342213422 3422134221 4221342213 2213422134 2134221342

322. 323. 324. 325. 326. 327. 328. 329. 330. 331. 332. 333. 334. 335. 336.

14223 22314 23142 31422 42231 14232 42321 23214 32142 21423 14322 4322 32214 22143 21432

1422314223 2231422314 2314223142 3142231422 4223142231 1423214232 4232142321 2321423214 3214232142 2142321423 1432214322 4322143221 3221432214 2214322143 2143221432

Topology 5.3 (1,1,2,4,4) 337. 338. 339. 340. 341. 342. 343. 344. 345. 346. 347. 348. 349. 350. 351. 352. 353. 354. 355. 356. 357. 358. 359. 360. 361. 362. 363. 364. 365. 366.

11244 12441 24411 44112 41124 11424 14241 42411 24114 41142 11442 14421 44211 42114 21144 12144 21441 14412 44121 41214 12414 24141 41412 14124 41241 14142 41421 14214 42141 21414

1124411244 1244112441 2441124411 4411244112 4112441124 1142411424 1424114241 4241142411 2411424114 4114241142 1144211442 1442114421 4421144211 4211442114 2114421144 1214412144 2144121441 1441214412 4412144121 4121441214 1241412414 2414124141 4141241412 1412414124 4124141241 1414214142 4142141421 1421414214 4214142141 2141421414

Topology 5.4 (1,1,3,3,4) 367. 368.

11334 13341

1133411334 1334113341

282

369. 370. 371. 372. 373. 374. 375. 376. 377. 378. 379. 380. 381. 382. 383. 384. 385. 386. 387. 388. 389. 390. 391. 392. 393. 394. 395. 396.

33411 34113 41133 11343 13431 34311 43113 31134 11433 14331 43311 33114 31143 13134 31341 13413 34131 41313 13143 31431 14313 43131 31314 13314 33141 31413 14133 41331

3341133411 3411334113 4113341133 1134311343 1343113431 3431134311 4311343113 3113431134 1143311433 1433114331 4331143311 3311433114 3114331143 1313413134 3134131341 1341313413 3413134131 4131341313 1314313143 3143131431 1431314313 4313143131 3131431314 1331413314 3314133141 3141331413 1413314133 4133141331

Topology 6.1 (1,2,2,2,2,3)

 scale incorporates Pentatonic Minor 32232  scale incorporates Pentatonic Lydian 32232 397. 398. 399. 400. 401. 402. 403. 404. 405. 406. 407. 408. 409. 410. 411. 412. 413. 414. 415.

122223 222231 222312  223122 231222 312222 223212 232122  321222 212223 122232 222321  223221 232212 322122 221223 212232 122322 222123

122223122223 222231222231 222312222312 223122223122 231222231222 312222312222 223212223212 232122232122 321222321222 212223212223 122232122232 222321222321 223221223221 232212232212 322122322122 221223221223 212232212232 122322122322 222123222123

416. 417. 418. 419. 420. 421. 422. 423. 424. 425. 426.

221232  212322 123222 232221 322212  132222 322221 222213  222132 221322 213222

221232221232 212322212322 123222123222 232221232221 322212322212 132222132222 322221322221 222213222213 222132222132 221322221322 213222213222

Topology 6.2 (1,1,2,2,3,3)

 scale incorporates Pentatonic Minor 32232  scale incorporates Pentatonic Lydian 32232 427. 428. 429. 430. 431. 432. 433. 434. 435. 436. 437. 438. 439. 440. 441. 442. 443. 444. 445. 446. 447. 448. 449. 450. 451. 452. 453. 454. 455. 456. 457. 458. 459. 460. 461. 462.

112233 122331 223311 233112 331122 311223 112323 123231 232311 323112 231123 311232  112332 123321 233211 332112 321123 211233  121233 212331 123312 233121 331212 312123 121323 213231 132312 323121 231213 312132 121332 213321 133212 332121 321213 212133

112233112233 122331122331 223311223311 233112233112 331122331122 311223311223 112323112323 123231123231 232311232311 323112323112 231123231123 311232311232 112332112332 123321123321 233211233211 332112332112 321123321123 211233211233 121233121233 212331212331 123312123312 233121233121 331212331212 312123312123 121323121323 213231213231 132312132312 323121323121 231213231213 312132312132 121332121332 213321213321 133212133212 332121332121 321213321213 212133212133

283

463. 464. 465. 466. 467. 468. 469. 470. 471. 472. 473. 474. 475. 476. 477. 478. 479. 480. 481. 482. 483. 484. 485. 486. 487. 488. 489. 490. 491. 492. 493. 494. 495. 496. 497. 498. 499. 500. 501. 502. 503. 504. 505. 506. 507. 508. 509. 510. 511. 512. 513.

211323 113232 132321 323211 232113 321132  211332 113322 133221 332211 322113 221133  223113 231132 311322 113223 132231 322311 131223 312231 122313 223131 231312 313122 131232 312321 123213 232131 321312 213123 131322 313221 132213 322131 221313 213132 221331 213312 133122 331221 312213 122133 212313 123132 231321 313212 132123 321231 123123 231231 312312

211323211323 113232113232 132321132321 323211323211 232113232113 321132321132 211332211332 113322113322 133221133221 332211332211 322113322113 221133221133 223113223113 231132231132 311322311322 113223113223 132231132231 322311322311 131223131223 312231312231 122313122313 223131223131 231312231312 313122313122 131232131232 312321312321 123213123213 232131232131 321312321312 213123213123 131322131322 313221313221 132213132213 322131322131 221313221313 213132213132 221331221331 213312213312 133122133122 331221331221 312213312213 122133122133 212313212313 123132123132 231321231321 313212313212 132123132123 321231321231 123123123123 231231231231 312312312312

514. 515. 516.

132132 321321 213213

132132132132 321321321321 213213213213

Topology 6.3 (1,1,2,2,2,4) 517. 518. 519. 520. 521. 522. 523. 524. 525. 526. 527. 528. 529. 530. 531. 532. 533. 534. 535. 536. 537. 538. 539. 540. 541. 542. 543. 544. 545. 546. 547. 548. 549. 550. 551. 552. 553. 554. 555. 556. 557. 558. 559. 560. 561. 562.

112224 122241 222411 224112 241122 411222 112242 122421 224211 242112 421122 211224 112422 124221 242211 422112 221124 211242 114222 142221 422211 222114 221142 211422 121224 212241 122412 224121 241212 412122 121242 212421 124212 242121 421212 212124 121422 214221 142212 422121 221214 212142 124122 241221 412212 122124

112224112224 122241122241 222411222411 224112224112 241122241122 411222411222 112242112242 122421122421 224211224211 242112242112 421122421122 211224211224 112422112422 124221124221 242211242211 422112422112 221124221124 211242211242 114222114222 142221142221 422211422211 222114222114 221142221142 211422211422 121224121224 212241212241 122412122412 224121224121 241212241212 412122412122 121242121242 212421212421 124212124212 242121242121 421212421212 212124212124 121422121422 214221214221 142212142212 422121422121 221214221214 212142212142 124122124122 241221241221 412212412212 122124122124

284

563. 564. 565. 566. 567. 568. 569. 570. 571. 572. 573. 574. 575. 576.

221241 212412 122142 221421 214212 142122 421221 212214 122214 222141 221412 214122 141222 412221

221241221241 212412212412 122142122142 221421221421 214212214212 142122142122 421221421221 212214212214 122214122214 222141222141 221412221412 214122214122 141222141222 412221412221

Topology 6.4 (1,1,1,2,3,4) 577. 578. 579. 580. 581. 582. 583. 584. 585. 586. 587. 588. 589. 590. 591. 592. 593. 594. 595. 596. 597. 598. 599. 600. 601. 602. 603. 604. 605. 606. 607. 608. 609. 610. 611.

111234 112341 123411 234111 341112 411123 111243 112431 124311 243111 431112 311124 111324 113241 132411 324111 241113 411132 111342 113421 134211 342111 421113 211134 111423 114231 142311 423111 231114 311142 111432 114321 143211 432111 321114

111234111234 112341112341 123411123411 234111234111 341112341112 411123411123 111243111243 112431112431 124311124311 243111243111 431112431112 311124311124 111324111324 113241113241 132411132411 324111324111 241113241113 411132411132 111342111342 113421113421 134211134211 342111342111 421113421113 211134211134 111423111423 114231114231 142311142311 423111423111 231114231114 311142311142 111432111432 114321114321 143211143211 432111432111 321114321114

612. 613. 614. 615. 616. 617. 618. 619. 620. 621. 622. 623. 624. 625. 626. 627. 628. 629. 630. 631. 632. 633. 634. 635. 636. 637. 638. 639. 640. 641. 642. 643. 644. 645. 646. 647. 648. 649. 650. 651. 652. 653. 654. 655. 656. 657. 658. 659. 660. 661. 662.

211143 112134 121341 213411 134112 341121 411213 112143 121431 214311 143112 431121 311214 112314 123141 231411 314112 141123 411231 112413 124131 241311 413112 131124 311241 113124 131241 312411 124113 241131 411312 113142 131421 314211 142113 421131 211314 113214 132141 321411 214113 141132 411321 113412 134121 341211 412113 121134 211341 114123 141231

211143211143 112134112134 121341121341 213411213411 134112134112 341121341121 411213411213 112143112143 121431121431 214311214311 143112143112 431121431121 311214311214 112314112314 123141123141 231411231411 314112314112 141123141123 411231411231 112413112413 124131124131 241311241311 413112413112 131124131124 311241311241 113124113124 131241131241 312411312411 124113124113 241131241131 411312411312 113142113142 131421131421 314211314211 142113142113 421131421131 211314211314 113214113214 132141132141 321411321411 214113214113 141132141132 411321411321 113412113412 134121134121 341211341211 412113412113 121134121134 211341211341 114123114123 141231141231

285

663. 664. 665. 666. 667. 668. 669. 670. 671. 672. 673. 674. 675. 676. 677. 678. 679. 680. 681. 682. 683. 684. 685. 686. 687. 688. 689. 690. 691. 692. 693. 694. 695. 696.

412311 123114 231141 311412 114132 141321 413211 132114 321141 211413 114213 142131 421311 213114 131142 311421 114312 143121 431211 312114 121143 211431 121314 213141 131412 314121 141213 412131 121413 214131 141312 413121 131214 312141

412311412311 123114123114 231141231141 311412311412 114132114132 141321141321 413211413211 132114132114 321141321141 211413211413 114213114213 142131142131 421311421311 213114213114 131142131142 311421311421 114312114312 143121143121 431211431211 312114312114 121143121143 211431211431 121314121314 213141213141 131412131412 314121314121 141213141213 412131412131 121413121413 214131214131 141312141312 413121413121 131214131214 312141312141

Topology 6.5 (1,1,1,3,3,3) 697.

111333

111333111333

698.

113331

113331113331

699.

133311

133311133311

700.

333111

333111333111

701.

331113

331113331113

702.

311133

311133311133

703.

113133

113133113133

704.

131331

131331131331

705.

313311

313311313311

706.

133113

133113133113

707.

331131

331131331131

708.

311313

311313311313

709.

113313

113313113313

710.

133131

133131133131

711.

331311

331311331311

712.

313113

313113313113

713.

131133

131133131133

714.

311331

311331311331

715.

Augmented

313131313131

716.

131313

131313131313

Topology 6.6 (1,1,1,1,4,4) 717. 718. 719. 720. 721. 722. 723. 724. 725. 726. 727. 728. 729. 730. 731.

111144 111441 114411 144111 441111 411114 111414 114141 141411 414111 141114 411141 114114 141141 411411

111144111144 111441111441 114411114411 144111144111 441111441111 411114411114 111414111414 114141114141 141411141411 414111414111 141114141114 411141411141 114114114114 141141141141 411411411411

Topology 6.7 (2,2,2,2,2,2) 732.

Whole Tone

222222222222

Topology 7.4 (1,1,1,1,2,2,4) 733. 734. 735. 736. 737. 738. 739. 740. 741. 742. 743. 744. 745. 746. 747. 748. 749. 750. 751. 752.

1111224 1112241 1122411 1224111 2241111 2411112 4111122 1111242 1112421 1124211 1242111 2421111 4211112 2111124 1111422 1114221 1142211 1422111 4221111 2211114

11112241111224 11122411112241 11224111122411 12241111224111 22411112241111 24111122411112 41111224111122 11112421111242 11124211112421 11242111124211 12421111242111 24211112421111 42111124211112 21111242111124 11114221111422 11142211114221 11422111142211 14221111422111 42211114221111 22111142211114

286

753. 754. 755. 756. 757. 758. 759. 760. 761. 762. 763. 764. 765. 766. 767. 768. 769. 770. 771. 772. 773. 774. 775. 776. 777. 778. 779. 780. 781. 782. 783. 784. 785. 786. 787. 788. 789. 790. 791. 792. 793. 794. 795. 796. 797. 798. 799. 800. 801. 802. 803.

2111142 1112124 1121241 1212411 2124111 1241112 2411121 4111212 1112142 1121421 1214211 2142111 1421112 4211121 2111214 1112214 1122141 1221411 2214111 2141112 1411122 4111221 1112412 1124121 1241211 2412111 4121112 1211124 2111241 1114122 1141221 1412211 4122111 1221114 2211141 2111412 1114212 1142121 1421211 4212111 2121114 1211142 2111421 1121124 1211241 2112411 1124112 1241121 2411211 4112112 1121142

21111422111142 11121241112124 11212411121241 12124111212411 21241112124111 12411121241112 24111212411121 41112124111212 11121421112142 11214211121421 12142111214211 21421112142111 14211121421112 42111214211121 21112142111214 11122141112214 11221411122141 12214111221411 22141112214111 21411122141112 14111221411122 41112214111221 11124121112412 11241211124121 12412111241211 24121112412111 41211124121112 12111241211124 21112412111241 11141221114122 11412211141221 14122111412211 41221114122111 12211141221114 22111412211141 21114122111412 11142121114212 11421211142121 14212111421211 42121114212111 21211142121114 12111421211142 21114212111421 11211241121124 12112411211241 21124112112411 11241121124112 12411211241121 24112112411211 41121124112112 11211421121142

804. 805. 806. 807. 808. 809. 810. 811. 812. 813. 814. 815. 816. 817. 818. 819. 820. 821. 822. 823. 824. 825. 826. 827. 828. 829. 830. 831. 832. 833. 834. 835. 836. 837.

1211421 2114211 1142112 1421121 4211211 2112114 1121214 1212141 2121411 1214112 2141121 1411212 4112121 1121412 1214121 2141211 1412112 4121121 1211214 2112141 1122114 1221141 2211411 2114112 1141122 1411221 4112211 1141212 1412121 4121211 1212114 2121141 1211412 2114121

12114211211421 21142112114211 11421121142112 14211211421121 42112114211211 21121142112114 11212141121214 12121411212141 21214112121411 12141121214112 21411212141121 14112121411212 41121214112121 11214121121412 12141211214121 21412112141211 14121121412112 41211214121121 12112141211214 21121412112141 11221141122114 12211411221141 22114112211411 21141122114112 11411221141122 14112211411221 41122114112211 11412121141212 14121211412121 41212114121211 12121141212114 21211412121141 12114121211412 21141212114121

Topology 7.5 (1,1,1,1,1,3,4) 838. 839. 840. 841. 842. 843. 844. 845. 846. 847. 848. 849. 850. 851. 852.

1111134 1111341 1113411 1134111 1341111 3411111 4111113 1111143 1111431 1114311 1143111 1431111 4311111 3111114 1111314

11111341111134 11113411111341 11134111113411 11341111134111 13411111341111 34111113411111 41111134111113 11111431111143 11114311111431 11143111114311 11431111143111 14311111431111 43111114311111 31111143111114 11113141111314

287

853. 854. 855. 856. 857. 858. 859. 860. 861. 862. 863. 864. 865. 866. 867. 868. 869. 870. 871. 872. 873. 874. 875. 876. 877. 878. 879.

1113141 1131411 1314111 3141111 1411113 4111131 1111413 1114131 1141311 1413111 4131111 1311114 3111141 1113114 1131141 1311411 3114111 1141113 1411131 4111311 1141131 1411311 4113111 1131114 1311141 3111411 1114113

11131411113141 11314111131411 13141111314111 31411113141111 14111131411113 41111314111131 11114131111413 11141311114131 11413111141311 14131111413111 41311114131111 13111141311114 31111413111141 11131141113114 11311411131141 13114111311411 31141113114111 11411131141113 14111311411131 41113114111311 11411311141131 14113111411311 41131114113111 11311141131114 13111411311141 31114113111411 11141131114113

Topology 8.1 (1,1,1,1,2,2,2,2) 880.

Be-bop major

2212112122121121

881.

21211212

2121121221211212

12112122

1211212212112122

882. 883.

21121221

2112122121121221

884.

11212212

1121221211212212

885.

12122121

1212212112122121

886.

21221211

2122121121221211

12212112

1221211212212112

887. 888.

Be-bop dominant

2212211122122111

889.

21221112

2122111221221112

890.

Be-bop locrian

1221112212211122

891.

22111221

2211122122111221

892.

Be-bop dorian

2111221221112212

11122122

1112212211122122

893. 894.

11221221

1122122111221221

895.

12212211

1221221112212211

896.

Be-bop minor

2122112121221121

897.

12211212

1221121212211212

22112121

2211212122112121

898.

899.

21121212

2112121221121212

900.

11212122

1121212211212122

901.

12121221

1212122112121221

902.

21212211

2121221121212211

903.

12122112

1212211212122112

904.

22121112

2212111222121112

905.

21211122

2121112221211122

906.

12111222

1211122212111222

907.

21112221

2111222121112221

908.

11122212

1112221211122212

909.

11222121

1122212111222121

910.

12221211

1222121112221211

911.

22212111

2221211122212111

912.

22121211

2212121122121211

913.

21212112

2121211221212112

914.

12121122

1212112212121122

915.

21211221

2121122121211221

916.

12112212

1211221212112212

917.

21122121

2112212121122121

918.

11221212

1122121211221212

919.

12212121

1221212112212121

920.

22112112

2211211222112112

921.

21121122

2112112221121122

922.

11211222

1121122211211222

923.

12112221

1211222112112221

924.

21122211

2112221121122211

925.

11222112

1122211211222112

926.

12221121

1222112112221121

927.

22211211

2221121122211211

928.

22111212

2211121222111212

929.

21112122

2111212221112122

930.

11121222

1112122211121222

931.

11212221

1121222111212221

932.

12122211

1212221112122211

933.

21222111

2122211121222111

934.

12221112

1222111212221112

935.

22211121

2221112122211121

936.

22111122

2211112222111122

937.

21111222

2111122221111222

938.

11112222

1111222211112222

939.

11122221

1112222111122221

940.

11222211

1122221111222211

941.

12222111

1222211112222111

942.

22221111

2222111122221111

288

943.

22211112

2221111222211112

944.

22112211

2211221122112211

945.

21122112

2112211221122112

946.

11221122

1122112211221122

947.

12211221

1221122112211221

948.

Diminished

2121212121212121

949.

Octatonic

1212121212121212

Topology 8.2 (1,1,1,1,1,2,2,3) 950. 951. 952. 953. 954. 955. 956. 957. 958. 959. 960. 961. 962. 963. 964. 965. 966. 967. 968. 969. 970. 971. 972. 973. 974. 975. 976. 977. 978. 979. 980. 981. 982. 983. 984. 985. 986. 987. 988. 989. 990.

11211213 12112131 21121311 11213112 12131121 21311211 13112112 31121121 11211312 12113121 21131211 11312112 13121121 31211211 12112113 21121131 11212113 12121131 21211311 12113112 21131121 11311212 13112121 31121211 11121123 11211231 12112311 21123111 11231112 12311121 23111211 31112112 11121132 11211321 12113211 21132111 11321112 13211121 32111211 21112113 11121213

1121121311211213 1211213112112131 2112131121121311 1121311211213112 1213112112131121 2131121121311211 1311211213112112 3112112131121121 1121131211211312 1211312112113121 2113121121131211 1131211211312112 1312112113121121 3121121131211211 1211211312112113 2112113121121131 1121211311212113 1212113112121131 2121131121211311 1211311212113112 2113112121131121 1131121211311212 1311212113112121 3112121131121211 1112112311121123 1121123111211231 1211231112112311 2112311121123111 1123111211231112 1231112112311121 2311121123111211 3111211231112112 1112113211121132 1121132111211321 1211321112113211 2113211121132111 1132111211321112 1321112113211121 3211121132111211 2111211321112113 1112121311121213

991. 992. 993. 994. 995. 996. 997. 998. 999. 1000. 1001. 1002. 1003. 1004. 1005. 1006.

11212131 12121311 21213111 12131112 21311121 13111212 31112121 11121312 11213121 12131211 21312111 13121112 31211121 12111213 21112131

1121213111212131 1212131112121311 2121311121213111 1213111212131112 2131112121311121 1311121213111212 3111212131112121 1112131211121312 1121312111213121 1213121112131211 2131211121312111 1312111213121112 3121112131211121 1211121312111213 2111213121112131

11122113

1112211311122113

1007.

11221131

1122113111221131

1008.

12211311

1221131112211311

1009.

22113111

2211311122113111

1010.

21131112

2113111221131112

1011.

11311122

1131112211311122

1012.

13111221

1311122113111221

1013.

31112211

3111221131112211

1014.

11123112

1112311211123112

1015.

11231121

1123112111231121

1016.

12311211

1231121112311211

1017.

23112111

2311211123112111

1018.

31121112

3112111231121112

1019.

11211123

1121112311211123

1020.

12111231

1211123112111231

1021.

21112311

2111231121112311

1022.

11131122

1113112211131122

1023.

11311221

1131122111311221

1024.

13112211

1311221113112211

1025.

31122111

3112211131122111

1026.

11221113

1122111311221113

1027.

12211131

1221113112211131

1028.

22111311

2211131122111311

1029.

21113112

2111311221113112

1030.

11131212

1113121211131212

1031.

11312121

1131212111312121

1032.

13121211

1312121113121211

1033.

31212111

3121211131212111

1034.

12121113

1212111312121113

1035.

21211131

2121113121211131

1036.

12111312

1211131212111312

289

1037.

2111312121113121

1081.

13122111

1312211113122111

11132112

1113211211132112

1082.

31221111

3122111131221111

11321121

1132112111321121

1083.

12211113

1221111312211113

1040.

13211211

1321121113211211

1084.

22111131

2211113122111131

1041.

32112111

3211211132112111

1085.

21111312

2111131221111312

1042.

21121113

2112111321121113

1086.

11113212

1111321211113212

1038. 1039.

21113121

1043.

11211132

1121113211211132

1087.

11132121

1113212111132121

1044.

12111321

1211132112111321

1088.

11321211

1132121111321211

1045.

21113211

2111321121113211

1089.

13212111

1321211113212111

1046.

11112123

1111212311112123

1090.

32121111

3212111132121111

1047.

11121231

1112123111121231

1091.

21211113

2121111321211113

1048.

11212311

1121231111212311

1092.

12111132

1211113212111132

1049.

12123111

1212311112123111

1093.

21111321

2111132121111321

1050.

21231111

2123111121231111

1094.

11111223

1111122311111223

1051.

12311112

1231111212311112

1095.

11112231

1111223111112231

1052.

23111121

2311112123111121

1096.

11122311

1112231111122311

1053.

31111212

3111121231111212

1097.

11223111

1122311111223111

1054.

11112132

1111213211112132

1098.

12231111

1223111112231111

1055.

11121321

1112132111121321

1099.

22311111

2231111122311111

1056.

11213211

1121321111213211

1100.

23111112

2311111223111112

1057.

12132111

1213211112132111

1101.

31111122

3111112231111122

1058.

21321111

2132111121321111

1102.

11111232

1111123211111232

1059.

13211112

1321111213211112

1103.

11112321

1111232111112321

1060.

32111121

3211112132111121

1104.

11123211

1112321111123211

1061.

21111213

2111121321111213

1105.

11232111

1123211111232111

1062.

11112213

1111221311112213

1106.

12321111

1232111112321111

1063.

11122131

1112213111122131

1107.

23211111

2321111123211111

1064.

11221311

1122131111221311

1108.

32111112

3211111232111112

1065.

12213111

1221311112213111

1109.

21111123

2111112321111123

1066.

22131111

2213111122131111

1110.

11111322

1111132211111322

1067.

21311112

2131111221311112

1111.

11113221

1111322111113221

1068.

13111122

1311112213111122

1112.

11132211

1113221111132211

1069.

31111221

3111122131111221

1113.

11322111

1132211111322111

1070.

11112312

1111231211112312

1114.

13221111

1322111113221111

1071.

11123121

1112312111123121

1115.

32211111

3221111132211111

1072.

11231211

1123121111231211

1116.

22111113

2211111322111113

1073.

12312111

1231211112312111

1117.

21111132

2111113221111132

1074.

23121111

2312111123121111

1075.

31211112

3121111231211112

1076.

12111123

1211112312111123

1077.

21111231

2111123121111231

1078.

11113122

1111312211113122

1079.

11131221

1113122111131221

1080.

11312211

1131221111312211

290

blank scale and chord forms

291

292

293

Appendix A: I-IV-V cycles of the Pentatonic Minor and its modes

294

I-IV-V (blues) cycle of pentatonic scales in the key of E You can solo over a I-IV-V blues/rock chord progression without leaving the tonic key. For example, you can solo over all three chords of a I-IV-V in E (E7-A7-B7) using only the E pentatonic minor (top-left pattern below). Plenty of people play that way. Alternatively, you can follow the changes and match scales to chords for example, you could play A pentatonic minor over the IV chord (A7) and B pentatonic minor over the V chord (B7). There are at least two ways to do this: 1.

Shift the pattern at fret XII to the 5th fret for the A7 chord and to the 7th fret for B7 chord

2.

Stay at the 12th fret and play the associated modes of A and B pentatonic minor for the IV and V chords

The diagrams below show I-IV-V cycles of the pentatonic minor and its four modes in the key of E. Memorizing how to cycle through these patterns will open up the full length of the neck for you, especially if (like me) you have a tendency to rely entirely too much on one pentatonic scale pattern (i.e., top-left pattern below).

E7 (I chord)

A7 (IV chord)

B7 (V chord)

E Pentatonic Minor

XII

XII

E7 (I chord)

XII

A7 (IV chord)

B7 (V chord)

G Penatatonic Major

III

III

III

295

I-IV-

E7 (I chord)

A7 (IV chord)

B7 (V chord)

A Yo

V

V

E7 (I chord)

V

A7 (IV chord)

B7 (V chord)

B Man Gong

VII

VII

VII

VIII

E7 (I chord)

A7 (IV chord)

B7 (V chord)

D Ritusen

X

X

X

296

Appendix B: One-note alterations of the Major Scale and its modes

297

One-note alterations of the Ionian mode (Major Scale)* Ionian mode (2212221)

Ionian b2 (1312221) FT† no. 88

Ionian #2 (3112221) 6° Neapolitan Minor

Ionian b3 (212221) Melodic Minor

Ionian #4 (2221221) 4° Major Scale Lydian mode

Ionian b5 (2211321) 5° FT no. 165

Ionian #5 (2213121) 3° Harmonic Minor Ionian Augmented

Ionian b6 (2212131) Harmonic Major

Ionian #6 (2212311) 6° FT no. 81

Ionian b7 (2212212) 5° Major Scale Mixolydian mode

* Scales plotted across two octaves plus 1st string mirrors 6th string † FT=Fretboard Topologies

298

One-note alterations of the Dorian mode Dorian mode (2122212)

Dorian b2 (1222212) 2° Melodic Minor

Dorian #3 (2212212) 5° Major Scale Mixolydian mode

Dorian b4 (2113212) 6° FT† no. 165

Dorian #4 (2131212) 4° Harmonic Minor Romanian

Dorian b5 (2121312) 2° Harmonic Major

Dorian #5 (2123112) 7° FT no. 81

Dorian b6 (2122122) 6° Major Scale Aeolian mode

Dorian #7 (2122221) Melodic Minor

Dorian b1 (3122211)

* Scales plotted across two octaves plus 1st string mirrors 6th string † FT=Fretboard Topologies

299

One-note alterations of the Phrygian mode* Phrygian mode (1222122)

Phrygian #2 (122122) 6° Major Scale Aeolian mode

Phrygian b3 (1132122) 7° FT† no. 165

Phrygian #3 (2122131) 5° of Harmonic Minor Phrygian Dominant

Phrygian b4 (1213122) 3° Harmonic Major

Phrygian #4 (1231122) FT no. 81

Phrygian b5 (1221222) 7° Major Scale Locrian mode

Phrygian #6 (1222212) 2° of Melodic Minor Dorian b9

Phrygian b7 (1222113) 3° FT no. 88

Phrygian #7 (1222131) Neapolitan Minor

* Scales plotted across two octaves plus 1st string mirrors 6th string † FT=Fretboard Topologies

300

One-note alterations of the Lydian mode* Lydian mode (2221221)

Lydian b2 (1321221) FT† no. 165

Lydian #2 (3121221) 6° Harmonic Minor

Lydian b3 (2131221) 4° Harmonic Major

Lydian #3 (2311221) 2° FT no. 81

Lydian b4 (2212221) Major Scale

Lydian #5 (2222121) 3° Melodic Minor Lydian Augmented

Lydian b6 (2221131) 4° FT no. 88

Lydian #6 (2221311) 2° Neapolitan Minor

Lydian b7 (2221212) 4° Melodic Minor Lydian Dominant

* Scales plotted across two octaves plus 1st string mirrors 6th string † FT=Fretboard Topologies

301

One-note alterations of the Mixolydian mode* Mixolydian mode (2122122)

Mixolydian b2 (1312212) 5° Harmonic Major

Mixolydian #2 (3112212) 3° FT† no. 81

Mixolydian b3 (2122212) 2° Major Scale Dorian mode

Mixolydian #4 (2221212) 4° Melodic Minor Lydian Dominant

Mixolydian b5 (2211312) 5° FT no. 88

Mixolydian #5 (2213112) 3° Neapolitan Minor Mixolydian Augmented

Mixolydian b6 (2212122) 5° Melodic Minor

Mixolydian #7 (2212221) Major Scale

Mixolydian b1 (2122131)

* Scales plotted across two octaves plus 1st string mirrors 6th string † FT=Fretboard Topologies

302

One-note alterations of the Aeolian mode* Aeolian mode (2122122)

Aeolian b2 (1222122) 3° Major Scale Phrygian mode

Aeolian #3 (2212122) 5° Melodic Minor Mixolydian b6

Aeolian b4 (2113122) 6° FT† no. 88

Aeolian #4 (2131122) 4° Neapolitan Minor Hungarian Gypsy

Aeolian b5 (2121222) 6° Melodic Minor Semilocrian

Aeolian #6 (2122212) 2° Major Scale Dorian mode

Aeolian b7 (2122113) 3° FT no. 165

Aeolian #7 (2122131) Harmonic Minor

Aeolian #1 (2122122)

* Scales plotted across two octaves plus 1st string mirrors 6th string † FT=Fretboard Topologies

303

One-note alterations of the Locrian mode* Locrian mode (1221222)

Locrian #2 (2121222) 6° Melodic Minor Semilocrian

Locrian b3 (1131222) 7° FT† no. 88

Locrian #3 (1311222) 5° Neapolitan Minor Locrian Dominant

Locrian b4 (1212222) 7° Melodic Minor Superlocrian

Locrian #5 (1222122) 3° Major Scale Phrygian mode

Locrian b6 (1221132) 4° FT no. 165

Locrian #6 (1221312) 2° Harmonic Minor

Locrian b7 (1221213) 7° Harmonic Major

Locrian #7 (1221231) 5° FT no. 81

* Scales plotted across two octaves plus 1st string mirrors 6th string † FT=Fretboard Topologies

304

blank scale and chord forms

305

306

307

Appendix A: I-IV-V cycles of the Pentaonic Minor and its modes

308

I-IV-V (blues) cycle of pentatonic scales in the key of E You can solo over a I-IV-V blues/rock chord progression without leaving the tonic key. For example, you can solo over all three chords of a I-IV-V in E (E7-A7-B7) using only the E pentatonic minor (top-left pattern below). Plenty of people play that way. Alternatively, you can follow the changes and match scales to chords for example, you could play A pentatonic minor over the IV chord (A7) and B pentatonic minor over the V chord (B7). There are at least two ways to do this: 1.

Shift the pattern at fret XII to the 5th fret for the A7 chord and to the 7th fret for B7 chord

2.

Stay at the 12th fret and play the associated modes of A and B pentatonic minor for the IV and V chords

The diagrams below show I-IV-V cycles of the pentatonic minor and its four modes in the key of E. Memorizing how to cycle through these patterns will open up the full length of the neck for you, especially if (like me) you have a tendency to rely entirely too much on one pentatonic scale pattern (i.e., top-left pattern below).

E7 (I chord)

A7 (IV chord)

B7 (V chord)

E Pentatonic Minor

XII

XII

E7 (I chord)

XII

A7 (IV chord)

B7 (V chord)

G Penatatonic Major

III

III

III

309

I-IV-

E7 (I chord)

A7 (IV chord)

B7 (V chord)

A Yo

V

V

E7 (I chord)

V

A7 (IV chord)

B7 (V chord)

B Man Gong

VII

VII

VII

VIII

E7 (I chord)

A7 (IV chord)

B7 (V chord)

D Ritusen

X

X

X

310

Appendix B: One-note alterations of the Major Scale and its modes

311

One-note alterations of the Ionian mode (Major Scale)* Ionian mode (2212221)

Ionian b2 (1312221) FT† no. 88

Ionian #2 (3112221) 6° Neapolitan Minor

Ionian b3 (212221) Melodic Minor

Ionian #4 (2221221) 4° Major Scale Lydian mode

Ionian b5 (2211321) 5° FT no. 165

Ionian #5 (2213121) 3° Harmonic Minor Ionian Augmented

Ionian b6 (2212131) Harmonic Major

Ionian #6 (2212311) 6° FT no. 81

Ionian b7 (2212212) 5° Major Scale Mixolydian mode

* Scales plotted across two octaves plus 1st string mirrors 6th string † FT=Fretboard Topologies

312

One-note alterations of the Dorian mode Dorian mode (2122212)

Dorian b2 (1222212) 2° Melodic Minor

Dorian #3 (2212212) 5° Major Scale Mixolydian mode

Dorian b4 (2113212) 6° FT† no. 165

Dorian #4 (2131212) 4° Harmonic Minor Romanian

Dorian b5 (2121312) 2° Harmonic Major

Dorian #5 (2123112) 7° FT no. 81

Dorian b6 (2122122) 6° Major Scale Aeolian mode

Dorian #7 (2122221) Melodic Minor

Dorian b1 (3122211)

* Scales plotted across two octaves plus 1st string mirrors 6th string † FT=Fretboard Topologies

313

One-note alterations of the Phrygian mode* Phrygian mode (1222122)

Phrygian #2 (122122) 6° Major Scale Aeolian mode

Phrygian b3 (1132122) 7° FT† no. 165

Phrygian #3 (2122131) 5° of Harmonic Minor Phrygian Dominant

Phrygian b4 (1213122) 3° Harmonic Major

Phrygian #4 (1231122) FT no. 81

Phrygian b5 (1221222) 7° Major Scale Locrian mode

Phrygian #6 (1222212) 2° of Melodic Minor Dorian b9

Phrygian b7 (1222113) 3° FT no. 88

Phrygian #7 (1222131) Neapolitan Minor

* Scales plotted across two octaves plus 1st string mirrors 6th string FT=Fretboard Topologies



314

One-note alterations of the Lydian mode* Lydian mode (2221221)

Lydian b2 (1321221) FT† no. 165

Lydian #2 (3121221) 6° Harmonic Minor

Lydian b3 (2131221) 4° Harmonic Major

Lydian #3 (2311221) 2° FT no. 81

Lydian b4 (2212221) Major Scale

Lydian #5 (2222121) 3° Melodic Minor Lydian Augmented

Lydian b6 (2221131) 4° FT no. 88

Lydian #6 (2221311) 2° Neapolitan Minor

Lydian b7 (2221212) 4° Melodic Minor Lydian Dominant

* Scales plotted across two octaves plus 1st string mirrors 6th string † FT=Fretboard Topologies

315

One-note alterations of the Mixolydian mode* Mixolydian mode (2122122)

Mixolydian b2 (1312212) 5° Harmonic Major

Mixolydian #2 (3112212) 3° FT† no. 81

Mixolydian b3 (2122212) 2° Major Scale Dorian mode

Mixolydian #4 (2221212) 4° Melodic Minor Lydian Dominant

Mixolydian b5 (2211312) 5° FT no. 88

Mixolydian #5 (2213112) 3° Neapolitan Minor Mixolydian Augmented

Mixolydian b6 (2212122) 5° Melodic Minor

Mixolydian #7 (2212221) Major Scale

Mixolydian b1 (2122131)

* Scales plotted across two octaves plus 1st string mirrors 6th string † FT=Fretboard Topologies

316

One-note alterations of the Aeolian mode* Aeolian mode (2122122)

Aeolian b2 (1222122) 3° Major Scale Phrygian mode

Aeolian #3 (2212122) 5° Melodic Minor Mixolydian b6

Aeolian b4 (2113122) 6° FT† no. 88

Aeolian #4 (2131122) 4° Neapolitan Minor Hungarian Gypsy

Aeolian b5 (2121222) 6° Melodic Minor Semilocrian

Aeolian #6 (2122212) 2° Major Scale Dorian mode

Aeolian b7 (2122113) 3° FT no. 165

Aeolian #7 (2122131) Harmonic Minor

Aeolian #1 (2122122)

* Scales plotted across two octaves plus 1st string mirrors 6th string † FT=Fretboard Topologies

317

One-note alterations of the Locrian mode* Locrian mode (1221222)

Locrian #2 (2121222) 6° Melodic Minor Semilocrian

Locrian b3 (1131222) 7° FT† no. 88

Locrian #3 (1311222) 5° Neapolitan Minor Locrian Dominant

Locrian b4 (1212222) 7° Melodic Minor Superlocrian

Locrian #5 (1222122) 3° Major Scale Phrygian mode

Locrian b6 (1221132) 4° FT no. 165

Locrian #6 (1221312) 2° Harmonic Minor

Locrian b7 (1221213) 7° Harmonic Major

Locrian #7 (1221231) 5° FT no. 81

* Scales plotted across two octaves plus 1st string mirrors 6th string † FT=Fretboard Topologies

318

View more...

Comments

Copyright ©2017 KUPDF Inc.
SUPPORT KUPDF