Eartraining and Sight Singing
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LIBRARY UNIVERSITY Or CALIFORNIA
SAN DIEGO
To
My
Mother
pfi********^^
EAR-TRAINING AND SIGHT-SINGING Applied to Elementary Musical Theory
A
Practical
and Coordinated Course
For Schools and Private Study
By
I
WEDGE
GEORGE
A.
SCHIRMER,
Inc.,
t
G.
Copyright, 1921, by G. Schirmer, Inc.
3 | 5
NEW YORK
Printed in U.
30094
S.
A.
ANALYTICAL TABLE OF CONTENTS !
ANALYTICAL TABLE OF CONTENTS ChaptCT
Cont.
PREFACE in
The purpose of this book is to present the Elements of Music a direct and concise manner; to show as simply as possible the
reason for these things; to give the pupil material for practice instruct him how to use this material.
and
Each step is presented in three ways: first, exercises to be written; second, exercises for dictation to be used in Ear-training; third, exercises for Sight-reading. of each Lesson contains the exercises for written Section
A
work; Sections
B and C
the exercises for Ear-training and Sight-
reading.
In class-work it has been found practical to use three fiftyminute periods a week, devoting a period to each Section. Following is the plan of the book, showing the development of the work and the order in which the factors are taken up.
AN ACKNOWLEDGEMENT The author wishes Damrosch as it was developed
to
express
for his confidence in this
in
his
thanks to Dr. Frank
work and
his generous attitude
in the classes at the Institute of
Musical Art;
To Miss Helen W. Whiley, whose cooperation and enthusiasm presenting this subject have made the work possible; also, for
writing the exercises for study of the
first fifteen
lessons in Ear-
training;
To
Thomas Tapper
for reviewing the manuscript and for and valuable suggestions in the arrangement of the material To Dr. Percy Goetchius' excellent book, "Melody-Writing,"
Dr.
;
for the order of presentation of the points in
Melodic Construction.
GEORGE A. WEDGE.
[v]
TABLE OF CONTENTS PAGE
CHAPTER
I.
General Definitions
1
CHAPTER
II.
Measurement
6
CHAPTER
III.
Meter and Rhythm
13
CHAPTER IV.
Keys and
17
CHAPTER V.
Key-Signatures
29
CHAPTER VI.
Rest and Active Tones
34
CHAPTER VII.
The Minor Mode
45
CHAPTER VIII.
Minor Signatures
52
CHAPTER IX.
Intervals
64
CHAPTER X.
Chords
CHAPTER XI.
Melody
of Distances
Scales
101
Regular Scale-Line and Narrow 112
Skips
CHAPTER XII.
Melody Irregular row Skips
Scale-Line
and Nar118
CHAPTER XIII.
Melody
Wide Skips
123
CHAPTER XIV.
Melody
Consecutive Skips
129
CHAPTER XV.
Minor Melody
134
CHAPTER XVI.
Regular and Irregular Rhythms
139
CHAPTER XVII.
Period-Form
145
CHAPTER XVIII. Figure
Exact Repetition and Sequence
CHAPTER XIX.
Modified,
Figure
Repetition
and
Se-
160
quence
CHAPTER XX.
CHAPTER XXI.
Period-Form (continued) Parallel Construction by Sequence and Inversion Setting
155
Words
to Music
fvi]
165
169
EAR-TRAINING AND SIGHT-SINGING CHAPTER
I
General Definitions
Music is an Art, the medium of which is Sound. All art-forms, such as painting, sculpture, architecture and dancing, are means of self-expression. They differ in the medium of expression. uses sound.
The
painter uses lines and color; the musician
Musical Sound or Tone differs from noise in that it has a and fixed number of vibrations per second. Tone possesses four properties Pitch, Duration, Quality and Quantity. Noise is generally lacking in one or more of these properties. There are certain noises which, by their constant repetition, approximate sound; such as those made by a motor or trolley car when regular
speeding up. The Pitch of a sound
is
determined by the number of vibra-
The
greater the number of vibrations, the higher the pitch: the fewer, the lower the pitch. If we stretch a rubber band and use a ruler as a movable bridge, we are able, by tions per second.
plucking the band, to
make sounds
The
of different pitches.
greater the distance from the ruler to the fixed end of the band, the slower the vibrations and the lower the pitch the shorter the ;
distance, the faster the vibrations
and the higher the
pitch.
In
a piano the longer strings produce the lower sounds. The Duration of a sound is the length of time the vibrations continue.
The Quality or Color of a sound is determined by the instrument which produces the sound. It is quality which tells us whether, the tone is that of a voice, violin or piano. The Quantity of a sound is determined by the volume; if it loud or soft. Musical tones are represented upon paper by Notes. notes are placed upon five parallel, equidistant, horizontal is
The lines,
Each line and space represents a definite pitch called a Staff. assigned to it by a key-letter called a Clef, placed at the beginning of and F. the staff. Only two clefs are commonly used, the
G
1
Ear-Training and Sight-Singing
The G-Clef which was t
originally
a Gothic
letter
G,
is
always so - n
f\
placed as to circle around the second
line,
fL. xCp
A
D
D
r
'
If
-.
which determines the pitch of that line to be G; the next space above is A; the next line above is B etc. The space below G is F, the line below that is E, etc. Each successive line and space is ;
named
in alphabetic order until the eighth degree is reached.
a duplication of the first sound and has the same name. The F-Clef, which was a Gothic letter F, is placed with its two dots on either side of the fourth line of the staff. This determines the pitch of that line to be F; the next space above is G,
This
is
the next line K P
is
i!
A,
etc.
The space below F below
p
is
D,
etc.
is
Each
E, the next line
and space
line
is
named
in alphabetic order until the eighth is reached. In piano music there are two Staves used together, with the G-Clef on the upper, which is commonly called the treble staff, and
the F-Clef on the lower, commonly called the bass staff. This is really one large staff of eleven lines with the middle line omitted.
The
The
great staff
eleven-line staff
was
for the four voices
was known as the
originally invented to
Great Staff.
accommodate the tones
soprano, alto, tenor and bass. The center line which all the voices could sing, and the lines
had the pitch C above and below included the sounds within the range of the The eleven lines as a unit group were difficult to read: voices. therefore the middle line, C,
was
later omitted, leaving five lines
above and below. Music requires the use of tones higher and lower the degrees of the
by the use
of lines
staff.
We
extend the
known as Leger-Lines:
in pitch
than
staff for these pitches
..fa
For convenience in determining the location or register of tones and in learning the names of the lines and spaces, we divide the Great Staff into octave groups, thus:
General Definitions
Ear-Training and Sight-Singing
3 Play c
c*
and c
Think and sing c 1
.
1
1 Play c \ "
C
"
/
c
"
.
Think the c occurring between
Test with the piano.
.
think c8
1 Play c "
C
.
"
1
c3
1 Sing c
;
/ think
c.
c2
" c3 / think c8 test on the piano; place on the " c " 1 ,
staff.
c
"
Sing g
1 ;
" "
Sing
f
1 ;
C
think g, test on the piano; place on the " 8
staff.
g 1 g
G
think F, test on the piano; place on the
staff.
Section C.
The following exercises are to be sung when in the vocal range; otherwise they are to be mentally determined and tested. 1 Play c
first
each time; think c 2 - c 1 c - c c - c2
- c8 c - c8 c3 - c
c-C
cl
C-c
1
C - c1
C-c
2
1
Place each on the
Play c
2
first
staff.
c2
-c c - c2
c1
c-C
c2
Place each on the
staff.
C-c C-c
1
first
;
-C
- c8 - c3 8 c c
-C C-c
3
2
each time think g 1 - g 2 l g -g Place each on the staff, g 1 - G 1
1
each time; think c - c 1 2
c
Play g
c2
General Definitions
1 Play e
first
each time; think e l - e 2
e'-e Place each on the
staff,
e1
-
E
e'-e 1 1 Play c
first
each time; think
c-C-c
C - c - c1 c - c -C 1
c c8 2
1
Place each on the
staff,
-c 1 2 c c c
c1 - c1
C-c-c c1 -
Play g
1
first
1
C -c
1
3
G-g'-g
-G
1
g*-g g*-g -g e - E -c
- e8 Play e first each time; think e 1 e e Place each on the staff, e 8 - e 1 e* - e 8
Play
f
1
- e3 -E -e - e1 E e e1 e1 - E - e
each time; think
Place each on the
staff,
e 8 - e3 - e 1
e e2 Ee3
2
F - f - f8 l
fi_f _p 8 * f - f 8 f - f f
f
d 1 - d8 d -D Place each on the staff, d1 - d d 8 - d 1 (etc.) Place a first each time; think A - a 1 - a 2 a - a -A Place each on the staff, a 2 - a 1 - a a8 - a2 - a x (etc.) 1 Play d
first
each time; think
D
d d8 d' 1
1
1
1 Play b
first
each time; think
B - b - b8 1
b -b -B b8 - b1 - b l
Place each on the
staff,
b'-b 8 -^
1
1
1
first
- c1
3 l g - g -g 8 1 g* g g
gi-G -g 1
-c-C
8
gs_gi_gi
G-g -g
C c2
g-G-g
g -g -G 2 1 g g - g 1
staff,
c1
- c1
c8 - c
each time; think g1 - g 8 - g8
Place each on the
c
1
- c1 - c* - c*
(etc.)
e 1 - e8
e e1 e
E e1 e*
CHAPTER Measurements
I.I
of Distances
In measuring distance with a rule, we count from zero. In when measuring the distance on the staff from one note to another, the first note is counted as one and each line and space up to the next note as a degree. This is necejssary, because each tone is one of the series of seven pitches. To find the distance between E on the first line of the treble and B on the third line, E is on the next line is three; A in the one; F in the next space is two; next space is four; and B on the third line is five. music,
G
The
clock-face is divided into five-minute periods so that
may be the more readily determined. For the same reason we learn the relative position on the staff of the third, fifth and eighth tones from a line and a space.
exactness in time
a a If a If a If a If a If If
it is
note note note note note note
is
is
is is
is
is
on a line, the third is on the next line. in a space, the third is in the next space. on a line, the fifth is on the second line. in a the fifth is in the second space. space, on a line, the eighth is in the fourth space. in a space, the eighth is on the fourth line.
If the position of the third, fifth and eighth tones is known, easy to place the second, fourth, sixth and seventh tones.
LESSON
2
Section A. Suggestions for Study:
Write the 8th, 3rd and 5th degrees on the treble or G-staff from C, G, A, E, B and F. (2) Write the 8th, 3rd and 5th degrees on the bass or F-staff from B, D, F, G, E, A and C. (3) Write the 8th, 3rd and 5th degrees on the Great Staff from A
14
o
^
^^
15
r
ft
c 0.1 2
1
n
7
6
10
= 12
11
M
16
15
19
23
^2
I
13
17
20
24
21
^
TT
D F.I
10
25
^
CHAPTER
III
Meter and Rhythm Meter or Time
in
music
is
the regular pulsation which
is
made
by a
feeling of stress or accent followed by a period of relaxation or non -accent. If we are walking and a band plays we immediately
keep time with the pulse of the music. There are three fundamental meters in music Duple, having an accented followed by an unaccented pulse :
or beat. Triple,
having an accented followed by two unaccented
pulses.
Quadruple, having an accented followed
by
three unaccented
pulses.
These three meters correspond somewhat to our breathing. As we breathe, the inhalation corresponds to the unaccented pulse in music, the exhalation to the accented pulse. When exercising, the periods occupied in inhaling and exhaling are of approximately equal
This corresponds to duple meter. When we are relaxed is from twice to three times as long as the inhalation. This corresponds to triple or quadruple meter. It will be seen that, in each of these, the breathing begins with the unaccented beat, or up-beat. This accounts for the fact that it is more natural to begin a composition on the up-beat. Music generally ends on an duration.
or asleep the exhalation
accent.
Though this regular pulsation does not vary, there are tones held longer than the pulse or several tones played upon one pulse. To accomplish this a definite mathematical value must be assigned to each pulse. Rhythm
in
music
is
the arrangement of tones of different value
within the meter.
When rhythm
is
When as
notes of equal value are used throughout a phrase the Uniform. the value of a note is greater than one pulse, it is known
Added Beat.
When the value of a note is less than one pulse, it is known as a Divided Beat. Divisions of note- values are generally by two or a multiple of two.
A
triplet is
a group of 3 equal notes of the same value as the The numeral 3 is written under the group;
one-half subdivision. e.g.,
Ear-Training and Sight-Singing
14
A
quintuplet is
a group of 5 equal notes The numeral 5
of the
the one-fourth subdivision.
group; e.g.,
Modern
J a
half; j
second;
j/JW notation employs the following notes: o a whole; a quarter; J* an eighth; ^ a sixteenth; J\ a thirty-
a
J{
The curved
The round
sixty-fourth.
The
as the head.
heavy
part of the note
drawn to the head of the note attached to the stem is the hook. line
line
connecting the stems of notes
line
same value as
written under the
is
is
is
A
a beam
called
is
known
the stem.
:
straight,
/'J J J
To show we
passage of time in music when there is nothing to be use symbols known as Rests, which correspond in value
played, to the notes. "
" I
l|
A
*
I
Whole
Half
I
Quarter
T
Eighth
Dot after a note increases
three-fourths:
J. a
J>
?
I
I
J
I
^^1
Sixteenth Thirty-second Sixty-fourth
its
value one-half; a double dot,
J-J
The curved
line connecting the heads of two notes of the of which is not to be restruck, is called second the same pitch,
a Tie:
J
The in
any
J>
stressed
order.
and relaxed pulses
of
a meter
may
be arranged
A Bar is drawn across the staff to show the accented
pulse of the meter.
The group
which forms the meter
Two figures,
is
of stressed
and relaxed pulses
a Measure.
placed after the clef at the beginning of the
staff,
one above the other, indicate the meter and rhythm. The upper figure indicates the meter or the number of pulses in a measure. The lower figure indicates the rhythm or the kind of note which receives a beat. This is the Metric Signature, or Time-signature.
Thus
2 indicates
that there
are
two beats
measure, and that a quarter-note receives one beat.
in
each
Meter and Rhythm
Half, quarter
15
and eighth-notes are commonly used as units of have 2/2, 2/4 or 2/8; 3/2, 3/4 or 3/8; 4/2, 4/4
We may
Rhythm. or 4/8.
LESSON 3 Section A. Suggestions for Study: (1) Write four measures of 2/2, 2/4, 2/8, uniform in the first three measures and with
**
|JJJJ
note) in the fourth measure.
making the rhythm an added beat (one
Write four measures of 3/2, 3/4, 3/8, making the rhythm (2) uniform in the first three measures and with an added beat (one
|JJj>c)JJiJjJ
note) in the fourth measure.
n
Section B. In training ourselves to determine the meter and hear the rhythm necessary to maintain an even pulsation or beat. Count 1-2, 1-2, 1-2, 1-2, and try to keep a steady rate of speed (tempo). Walk at a steady tempo, a step to a beat, counting 1-2 as (1)
it is first
A
you do so.
metronome is invaluable as a test and a help in this as the piano is in the practice of pitch. practice, just the beat 1-2, 1-2, with a pencil, using the syllable (2) Tap Tap the beat la; intone quarter-note values (sing on one pitch). and intone half-note values; hold the tone until you have tapped two
beats.
the beat and, using the pitches of the following exercises: values the note(3)
Tap
3
Two
(
i.e.,
j
beats in a metsnre. ) b..t
I
J J
.
J J
.
JJlJ
I
i
(2 Two
*
J J
i
J
J J j j J
.
I
i
J J
(d,
J
I
I
2
3
4
b
6
7
In the same way, if a scale is constructed from F, the pitches are F, 1; G, 2; A, 3; B, 4; C, 5; D, 6; E, 7; F, 8. In a major scale the half-steps must lie between 3 and 4, 7 and 8. From A (3) to B This (4) is a whole tone, so the pitch of B must be lowered to Bb. leaves a whole tone from Bb (4) to C (5), as is needed from 4 to 5.
Keys and
There scale
is
is
19
Scales
a half-tone on the staff from E (7) to F (8). The major constructed in the same manner from every pitch.
Besides numbers, names may be applied to the tones of the As scale-tones are tones of a Key-family and are related
scale.
members
to the head of the family, or Key-tone, so the named as they are related to the head.
of the
family are
_The head of the C family eighth tone from the Tonic different tones of a key, the related tone differing in pitch.
C, and is named thej Tonic. I The the Octave. When seeking the fifth was found to be the nearest This is the Dominant, is
is
?' -fc
placed on the staff midway between C and G, it is E or the third, which is the Mediant or middle tone. As C is on the line, the fifth or Dominant is on the second line above; If
a tone
is
'
,
Si
.
tnc-'
(4)
Learn the terms applied to scale-steps. Learn the names of the pitches of 1, 3, (Example:
keys.
The 5th
of
is
5, 8, of
D is A; the 3rd of Bb
is
D;
above eight.
the above etc.)
Arrange the following pitches in the key of C in four measures, using a half -note as the rhythm; the rhythm uniform for the first three measures; an added beat in the fourth measure; (5)
set the proper metric signature after the clef:
1534358 1353582878 Section B. (1)
Sections of the Scale between
1, 3,
5
and
8.
Method
of
practising the following: (a) Play 1, 3, 5, 8 from C. (b)
Think the sound
of the first group.
Sing by number, next by letter. as a of accuracy. it test (d) Play on staff in both clefs. (e) Represent this method with each group. Then sing through the Repeat entire list, as written, reading from the representation on the staff. (c)
it, first
1 2 3
123 1235
1231358 12313 12353
12358 1233558
1235358
13
12351
and 3 2
1
123321 1235321 123585321
1321
132135 132151 13215321 15321 18321
v'-
Keys and Scales
:
3 4 5 and
35
345
34531 34538 3451
34-5
1
5
34581
543
34583
3458 34518 34513
34
:
31345 -
3534.5
345543 385T43
5 8 5
,:
54353 35435
i
38345
5 6 7 8 and 8 7 6 5
5678 15 56785 5678 56781 585678 5 $7813 535678 56783 5678531 5 8
.;;.,/
5678835 5678538 8385678 5185678 5 1 35678
876535 876538 858765 5 8 ? 65 31 838765 876531 81876 5 58 765
538765 518765
These groups should be practised daily, using C, as first tlay; F, as 1, the next day; and G, as 1, the day after. (2) Exercises
NOTE.
Read
in Sight-Singing:
exercise mentally before singing.
10
1,
the
Ear-Training and Sight-Singing
28
27
F.I
O.I
Section G. After some practice, study the groups of Section the following manner, using, for example, 1, 3, 4, 5: (a) Sound C on the piano; think and sing 1, 3, 5, 8. (1)
(b) (c)
(d)
B
in
Think and sing 1, 3, 4, 5, by number and letter-name. Sound G; call it 1. Think 1, 3, 5, 8. Think 1, 3, 4, 5; sing and test on piano. Sound F; call it 1. Think 1, 3, 5, 8. Think 1, 3, 4, 5; sing, and test on piano.
Keys and
Scales
23
Practise these groups as follows:
(2)
(a)
(b) (c)
(d) (e)
Sound the key-note. Think 1, 3, 5, 8; sing it. Recite the numbers of the group; try Sing the numbers; test on piano. Recite and sing letter-names.
to think the sounds.
These groups should also be used for dictation. Have someone help you by playing them on the piano. They should be dictated as follows: (f)
(g)
(h)
Play 1, 3, 5, 8. Play the group. The listener should sing the group in order to memorize it, using the syllable la; then he should write down the numbers from memory, and finally place the pitches on the staff; use both clefs.
(i)
Compare what was written with what was played. If there is a mistake, sing the correct and incorrect versions several times until you realize the error.
12345 Cxi
| ^
o e
I
o
" -
I
"
8
9
12
-y'
" o
I
o
I
6
-JT 10
13
.r
10
Ear-Training and Sight-Singing
24-
00 i
o
o
I '
o "
\ '
" " o
I '
o o "
I '
^
o
* I '
10
'I 12
11
13
r*i
10
"^ O-
=_*__,
Keys and
Scales
(3) Study 3/4 meter exactly as you studied 2/4. Count 1, 2, 3; 1, 2, 3; 1, 2, 3; 1, 2, 3, maintaining a steady
tempo. Sing a tone to each beat; also walk a step to each beat. Sing one tone and tap three beats. This sound is represented thus:
).
Tap / (b> ]
*lMO .
Jn j.j j I.TC.QJ J3iji j ij^jij j i. ..*.' u
j ij
J
J3iJ7.J3.i4
Indicate
j
Contrast with
(Arm
starts Down-up.)
3
i
Down-up, down-up
j
j
j j^.^^.j ^.J"
in 3/4.
(down-right-up) (up-down-right)
Intervals
77
Intone the rhythm and beat the meter.
JJJJJJ.J J >J J j J J3.J
J
J ij
J'
(4)
ii
Contrast with .
j j lj
j
JJ J J]JJJ J
-
JJJJ3.J JJ3.J J J j.jjj -J3J3J3.JJ J jj;J3.J J J3.J3J9J]
.
JiJ
J J
J
jij j j J j.J J J J.J J3.J
J
J
J3.QJ
J J
of D.
In beginning the study of a new key turn to any of the groups of numbers in the preceding pages and practise singing them, using the letter-names of the new After singing a group, write
both
For practice of the new skips 8 6 Think 1358. Play d .
8565
it
on the
staff in
84
3,8 2
1.
clefs.
1
Sing
J J
J10.J J
key.
(b)
J.
J J3.J3J3J3
The Key
(a)
J-
J3.JJJ
JJJ3J J J3J jjj .J3J3J3J JJJ3.J
J J J
5,
Ear-Training and Sight-Singing
78
V
.
D |
n
79
Intervals
Phrases for Dictation:
(2)
(a)
Have one
of the melodies beginning
on the down-beat
dictated.
Decide meter.
(b)
Represent the pulses and outline the rhythm. (d) Write the numbers. (e) Place on the staff. 1 (f) After the melody (a) has been played, the melody (a ) should be played. Contrast the two, and then (c)
write (a 1 ) on the
The up-beat
NOTE.
is
breathing; the accented pulse being accented pulse as the inhalation.
j
j
j
I
j-j
n
u
staff.
and recognized when
easily felt
I
j
felt
I
i
i
j
it is associated with as the exhalation, breathing; the un-
i
i
I
Ij
j
ij
n
I
j
|=p|
j-j
*~W
j
JJ
I"
m
\J
=tt
(3) Exercises
in Sight-Singing:
i
1
"JIJJ/jlj
^
Ear-Training and Sight-Singing
8C
2 f^i
t*
y
j
J
'JJJ
rc
J
rr . r
u
r
9
10
g
r
r
j
jj
j
j
u
LESSON 14
Diminished and Augmented Intervals If
a Perfect Interval or a Minor Interval is made one half-tone There are diminished it becomes a Diminished Interval.
smaller,
primes, 2nds, 3rds, 4ths, Sths, 6ths, 7ths and octaves. If a Perfect Interval or a Major Interval is made one half-tone There are augmented larger, it becomes an Augmented Interval. primes, 2nds, 3rds, 4ths, Sths, 6ths, 7ths and octaves. To name an interval, regard the lower tone as the Tonic of a major scale. The number of degrees from the lower tone to the
higher gives the size of the interval.
If
the upper tone agrees with
81
Intervals
the major scale of the lower tone, the interval will be either major or perfect. If it is one half-tone smaller than a major interval, it is called minor; if one half-tone smaller than the perfect or minor interval, it is diminished; if one half-tone larger than the perfect
or major interval,
it is
augmented.
Compound Meter Duple, triple and quadruple meters are known as simple meters. rhythms used in 2/4, 3/4 and 4/4 are made by adding the pulses or dividing a quarter-note by two or a multiple of two with the exceptional subdivision into three or five. If a constant triplet All
subdivision is desired, the
A six-pulse
meter
is
Compound Meters are
used.
a duple meter, each pulse divided into
triplets:
List of
Rhythms: 3
j
In|_J
J
J-
J.
J
j.
J"
J
J
In
J>J
_ /T"3
j""T"3
j
J-
A
nine-pulse meter
triplets:
A
jL
-1L
ji.
is
All
twelve-pulse meter
into triplets:
recur in 12/8.
a
is
triple meter,
each pulse divided into
rhythms used
in 6/8 will recur in 9/8.
a quadruple meter, each pulse divided
r4n rTH rrn rnn
A11
rhythms used
in
6/8 will
Ear-Training and Sight-Singing
Section A. Suggestions for Study: (1)
(2)
Erect (using accidentals) an Augmented 8th Diminished 5th Minor 3rd Diminished 4th Augmented 6th Augmented 4th Minor 7th
from D, A, F,
C and
E.
Erect (using* accidentals) a Diminished 8th
Minor 2nd Diminished 3rd Perfect 4th
from C, A, E, C# and F#.
Augmented 5th Minor 6th Diminished 7th
s
In the exercises given above the augmented and diminished inIf a given interval tervals are to be written using the given tone as lower tone. is to be made augmented or diminished, it is generally made augmented by raising the higher tone; made diminished by raising the lower tone. The terms raise and lower are used instead of sharp and flat, as a natural is also used to raise or lower the pitch of tones. If the lower If the higher tone of an interval is raised the interval is larger. tone is raised the interval is smaller.
NOTE.
^Higher tone
'Higher tone
Lower tone
"Lower tone
If the higher tone is lowered, the interval becomes smaller, tone is lowered, the interval is larger.
(3)
"Higher tone
"Higher tone
.Lower tone
7Lower tone
Name rt
If
the lower
the following intervals: |
Write examples four measures in length, of 4/4 and 6/8 meters, using added and divided beats. The rhythms may be copied from a composition. (4)
Intervals
83
Section B. Play the following: Sing each, singing the lower tone first using the number and letter-names. If played in a register impossible for singing, think the separate sounds. (1)
(a)
(b)
(c)
3
Name
the interval.
Ear-Training and Sight-Singing
7
85
Intervals
10 J
r r
f
f
i^pJE 12
11
if 13
i
rj
[j'if
j
i
14
>g J 15
16
rr
ir
17
18
j ij
r
ir
i
j j
i
20
19
r
if
^
M
j
i
u BJ
LESSON
j j j
ij
^^7
15
Section A. Suggestions for Study: (1)
Erect, using accidentals, an
Augmented 2nd a Major 6th an Augmented 5th a Diminished 7th a Minor 6th a Perfect 4th
(2)
Minor 3rd an Augmented 4th
Erect, using accidentals, a
a Diminished a Perfect a Diminished a Major (3)
from G, B,A, Bt, Gb.
Name
7th
5th
2nd
from Cb, B, G, A, Eb.
7th
the following intervals:
Write examples, four measures in length, of 4/4 and 6/8 meters, using an added beat and a divided beat. (4)
Ear-Training and Sight-Singing
86
Section B.
The Minor Third
(1)
(a)
Play
(3-5).
1358 from C.
Think Think
1335.
Name
the interval.
Think 3
5.
Test.
Sing.
Write on
Sing 3 5.
1.
staff.
1358
from G, F, D and Bb, and Play minor 3rd in each key as outlined above. (b)
Play the following:
.g>
B
8
3 to 5 in (c)
(d)
(e)
Play each.
"
first,
Each
it 5.
calling it 3; then the of these minor 3rds is
a major key. Think the tones as 3
is,
at
it,
and practise
i
I
1
1|
Sing each; the lower tone higher tone, calling
I
I
study the
5.
Sing
If
1.
this
you may play 1, but try to think constantly until you can do it easily.
first, difficult
Play the following notes: E, A, B, F#, D. Call each Think 3 1. Place on the staff. Name. in turn 3. Think 3 5. Place on the staff and name. In each of the following groups play the open note, think and sing the black note.
1
(2) 4/4 meter, divided beat. In the following exercises intone the rhythm and tap the beat.
j
j
j
j
(b>
J
J
J
J
jj/3/3iijjj en
/D
J
J
J. <
J
J
J
,
J
J
j
^
JJliJJJ/3
-^JIJ
/3J"3id
j
ijjnn J
>
j
,/3/3J J ,/3/JJ j /jj /j j nj
i
J
.J ,J
/3J /3J J
J
o j
j n
J
II
Intervals
87
Melodies for Dictation and Singing:
(3)
J-ft
I
SP-FR
|
J J J
|
rj
J
IJ3J
iri>
10
Section C. (1)
The Major
(a)
Play
Sixth (5 3).
1358 from C.
ThinkS Place on
8;
staff.
5 8 3; 5 3. Sing 5 3. Name the interval.
Test.
Ear-Training and Sight-Singing
88
1358
from F, G, D and Bb, and study the major 6th in each key as outlined above.
Play
(b)
Play the following:
o ffp
the lower tone first, calling it 5; then the tone, calling it 3. higher 5 6th is to upper 3, decide the key of each. If each (c) Play again. Sing the keynote (8) of each 6th.
Sing each;
(d)
Play the following notes: G, C, D, A, F. in turn 5.
(2) Exercises
j j j
Think
Call each
Place on the staff and name.
5 3.
in Sight-Singing:
JTryji; rrrr^
|
'7J
J
i Weber 3
r r
&
J* IfJJJJI^JJJ
I
II
J
l
dj II
r
r r
^n
r
ir
rr
p
j
Njj.Njj-r
89
Intervals
LESSON 16
The
Inversion of Intervals
Intervals are inverted
by placing the lower tone one octave
higher.
The interval C to E is a major 3rd, as E is the 3rd step of the The inversion of C to E is E to C. The interval from E to C is a minor 6th, for C# (not C) is the 6th step of E. In the
scale of C.
C to D, inverts to a minor 7th, D to C. C to F, inverts to a perfect 5th, F to C. The perfect 4th, C to inverts to a perfect 4th, G to C. The major G, perfect 5th, C a minor to inverts to 6th, A, 3rd, A to C. The major 7th, C to minor B inverts to a to C. The minor 3rd, C to Eb, 2nd, B,
same manner the major 2nd,
The
inverts to a major 6th,
1UJ.8 Min.
7th,
MJ.2
Eb
Mto.7 P.4
to C.
P.6
P.6
P.4
M.J.8 Min.9 M.j.7 Mln.2 Mln.8
The augmented 2nd, from C to D#, D# to C. The diminished 5th, B to
mented
4th,
F
MJ.
inverts to a diminished
F, inverts to the aug-
to B.
Aug. 2
Dim. 7
Dim. 6
Aug. 4
From the above may be made the following table: Upon inversion, a Major Interval becomes Minor. a Perfect Interval remains Perfect. an Augmented Interval becomes Diminished. " a 2nd becomes a 7th. a 3rd becomes a 6th. a 4th becomes a 5th. NOTE. Both of these tables read from either side. a minor 7th; a minor 7th becomes a major 2nd, etc.
A
major 2nd becomes
Ear-Training and Sight-Singing
90
Inversion of intervals saves time in naming intervals. For example, if the interval C down to E be named, it is much easier to
think of it as a minor 6th, the inversion of the major 3rd C to E, than to think in the key of E, etc. The intervals down from 8 are the inversions of the intervals
up from 1. The intervals up from 1 are major and perfect. Down from 8, minor and perfect; 8 to 2, a 7th; 8 to 3, a 6th; etc. Section A. Suggestions for Study: (1) Learn the table of Inversions. (2)
name the
Invert and
TO H..
y *U
I '
^p
I '
^ c.
following:
" I
It..
*
IJ* *"
I,
" I
1 I
fr"
"1 "
"'
1 I
I
o
xy
I
o 8
I
l"
\^
"
I
Section B. For practice of the skips 52, 25. Think 1358. (1) Play Bb. Sing
8258 3258 1251 3251 531251 51251 53251
85828 8528 86528 15321 1521 5121 521
5658258 5651251 8535523 3254358 1356523
15251 85258 35251 35258 (2) 4/4 meter.
Up-beat.
Arm-movement
Tap the beat and intone the rhythm. J JJ.JJJJ.J J J ,o nContrastwithJ.J Jj.jjjj.J JJKJH "J.JJJJ.J JJJJJJ.J.M (b>jjjj.J jjJjjj.o'H -
JJ.JE3JJ.J JJ.O-)JJ3JJ.J JJJJ.Jjm o 1/73/73 J J*
4
J-
/73
ij.
&
J-
J-
.J
e
-rT3J^.J73J^./73J ^
?
J-
e
J
JJ>J.
(2) Exercises
J J>J
1
.i
H
.J73JT3
iJTlJij
i.
^J.
.j
in Sight-Singing:
i
-O-
^ ft
u
" '
r
\
IT"
'I
J
rt
p
I4i^ ^-^ '
s ff3
'
'.
rnrr
iffr iri'tr/ir
S
99
Intervals
?M
p r
Pif
r
j
**t
rff
ii
r
r
i[-~r ir j?p
n'
l?r
^^
if 10
.
r
y r
yl J'U
r
^
PiQrr^'
M ^r pj^j^
19
Pir^'
-f
1^
^'
8
Ear-Training and Sight-Singing
100
20 7
j.
CHAPTER X Chords
A
Chord
one above the other be sounded at the same time. The tone upon which the chord is built is the Root of the chord. The next tone is the third, the next the fifth, the next the Each tone is named from seventh, the next the ninth* of the chord. is
three, four or five tones placed
in thirds; all the tones to
its
interval-relationship to the root of the chord. three-tone chord is a Triad. four-tone chord is a Chord
A
A
of the Seventh (seventh-chord). ft
"
""Uoot
1
~~
'
j
i
Triad. Chord of the 7'h. Chord of the
9'J>
A five-tone chord is a Chord of the Ninth. A chord may be built upon each tone of a key. A chord is named from the degree of the scale which the root
its root.
If
Chord
or Tonic Chord;
(I),
Dominant Chord;
is
the if
is used as degree of the scale, it is a One the fifth degree, a Five Chord (V), or
first
etc.
Roman numerals
are used as symbols of chords.
Most chords
are triads with a duplication one octave higher of one of the tones, generally the root. The tonic chord is 1, 3, 5, 8; the dominant chord, 5, 7, 2, 5; the subdominant chord, 4, 6, 8, 4; the two-chord
2, 4, 6, 2;
the six-chord,
1 i
6, 8, 3, 6;
the three-chord,
_
" v
n
rv
3, 5, 7, 3.
vi
m
rvn)
v7
The I, V and IV chords consist of a major 3rd and a perfect 5th from the root. These chords are major chords. The II, VI and III chords consist of a minor 3rd and a perfect 5th from the root. These chords are minor chords. The VII chord consists of a minor 3rd and a diminished 5th from the root. As this chord upon seven is imperfect, i. e., the only chord with a diminished 5th, and is included in and used as the seventh-chord built upon the dominant, it is not considered, by most theorists, as an independent triad.
A
chord
is
major or minor according to the
*In this connection the 9th
is
an independent [101]
interval.
size of its third.
Ear-Training and Sight-Singing
102
LESSON 18 Section A. Suggestions for Study: NOTE. As chords are used
in this
book only
in
broken form in melodic
construction, not as in four-part chord-writing, these exercises are to be written in the treble, in close position.
Erect the
(1)
I,
V,
II,
IV, VI, III chords in every major key,
using signatures. C major Example:
|
|
in a major key. The I, V VI and III chords are minor. (3) Learn to recite rapidly the numbers of the scale-degrees which make up the chords. Example: The I chord, 1, 3, 5, 8; the (2)
Learn the quality of the chords
and IV chords are major; the
V
chord, (4)
II,
5, 7, 2, 5; etc.
Reduce the tones
in
each measure to thirds and
name
the chord:
1
Section B. (1)
Review the
Add
intervals of Lesson 16, Section C, page 92.
the following:
g (2)
(a)
(b)
arpeggio:
Play the tonic chord of every major key. Hold down the keys (of the chord) and sing as an
1358; 8531.
(c)
Hold down the keys and sing, and octave.
first
by number, then by
letter, the root, third, fifth (3)
Melodies for Dictation and Sight-Singing: 2
Chords
103
.
IJ.
it
.
In outlining the rhythm j
This 2
is
JUjgT^TT^I
lJ*'lUJJ.
10
S
I
H
write a 2 under the dot.
J^ in
the only combination of two notes on a pulse in 6/8.
would be outlined
The
figure
j
*
*i
,S i
J>
is easily
*i i
lv-*"
Number
*
recognized as a limping or lame
figure.
Section C. (1) It
t*
Practice of the up-beat in 6/8 meter.
Tap
Arm-movement.
the beat and intone rhythm. ,
j.
J.NJEJ.NJ.
.
Sight-Singing:
r
^
i
'ij
j^
.-
Ear-Training and Sight-Singing
104
m
i.m
if
i
..
i
m
E.
German
i=fc
A.S. Sullivan
E
if
p
in;
nm
ILU
L4j" ip
k
i
-n
iCj
f if
12
=g=f?=
13
14 >
JJ1
Jtl Ir
u
j
^ j j
i
Mendelssohn 15
r J \
f.
7
8
7578
7
6
A
6
4
3
LESSON 21 Section A. Suggestions for Study:
each major key, using 3/2, 3/4, 3/8, 4 4, 4/2, Rhythm uniform, in the same manner as in the preceding lesson, but forcing the active scale-degrees in (1)
Write a melody
in
6/4 and 6/8 meters.
[118]
Melody
Irregular Scale-Line
the wrong direction,
8765;
i.
119
5678;
e.,
and jumping a
and Narrow Skips
using the progressions 345; up from 6 or 4, and down from
third
7.
Section B.
Review the Intervals
of Lessons 16, Section C, page 92; Section B, page 107; and 20, Section 18, Section B, page 102; 19, (1)
B, page 114. (2) Absolute Intervals
:
Perfect Fifth
and Perfect Fourth.
Play each of the intervals of (a) and sing 1 5 Play the lower tone, sing the upper. Play the upper tone, sing the lower. (b) Play each of the intervals of (b) and sing 5 8 Play the lower tone, sing the upper. (a)
(Perf. 5th).
(Perf. 4th).
Play the upper tone, sing the lower. (c) Play each of the intervals, of (c) and determine if it is a perfect 5th or a perfect 4th, testing if it is 1 5 or 5 8. (3) (a) Review the chords of Lessons 18, Section B, page 102;
page 107; and 20, Section B, page 115. (b) Play the Dominant Chord, followed by the in Chord, every Major key. 19, Section B,
'
Major key
i (c)
ij
i'
fi
I
5 |
Sing in every key, with numbers and letter-names:
5725, 1358; 5275, 8531;
(4)
Tonic
5725, 8531 5275, 1358
Melodies for Dictation and Singing, containing progres-
sions allowed in Lesson 21, Section
A: 2
1
[/[
EJ
u
n*
r if r
i
ir
rr
Ear-Training and Sight-Singing
120
TI M
fl
tt
n
j
.
1
1
rr irr irrr
rir
j |J
JJ^J
10
UJ-*^TJJJ J- M-^JN MJJJ.
H
ip if QJ-
i
Section C.
Rhythmic
(1)
J
Drill.
1771 m{
J
.j"3
i
.
,
.
J
n
J773
J
J
.j (r>
J
j.
n
tji
/"I
J
J
J-
iJJ
J
i
J-
iJ
J
J
j (a)
-n
Beat the meter; think the rhythm, then intone the
rhythm. (b)
Walk
the meter, then intone the rhythm.
Melody
(2) Exercises
Irregular Scale-Line
in Sight-Singing:
i
Pf
J ft
D
r ft
it
3
..Hir
r
ir
rfri
and Narrow Skips
121
122
Ear-Training and Sight-Singing
CHAPTER
XIII
Wide Skips
Melody
is a wide skip. Skips of all inis a an octave rare. made, though skip beyond All skips must be between tones of a chord. The jump from 1 to 7 or 7 to 1 is not good, as there is no 7th in the I chord. The skip from 3 up to 7 or from 7 down to 3 is not used, as it is part of the III chord, which is so far from the key-centre that these skips sound as if in a new key.
Any
skip larger than a third
tervals are
After every wide skip the melody will turn and progress in the other direction, preferably along the scale. It may continue along the scale in the same direction for two or three tones, and then turn.
Wide
skips are better
made
within the measure, and not
over the bar. In jumping to active tones it is better to jump from above to 7, and from below to 6 or 4, so that the melody will turn after the wide If a wide skip leap and at the same time resolve the active tones. is made to 7 from below, or to 6 or 4 from above, the melody may turn and leave the active tone unresolved, as the necessity for turning after a wide skip counteracts the demand for resolution of the active tone.
and
A
wide skip
to
any tone except the progressions given above (17 and 3
The
may
be made in either direction from a
natural direction in which to
the direction of their resolution.
from 6 and 4 are
A
skip
be made down from
7 to 5,
A slap may
All skips
7).
active tones is in
up from
7
and down
correct.
may
sound well are
jump from
rest tone,
and
7.
The only
skips
which
7 to 2.
be made up from 4 or 6 to any tone.
The most
beautiful melodies possess skips of a third, an occasional wide skip, repeated tones and a predominance of scaleprogression.
The resolution of active tones may be deferred, as long as they are resolved after three or four tones. We may progress if it is followed by 3, 2 3 or 1 2 3. Also 5 or or 5 6 7 5 3 2 8.
6758
r
123
]
545 567528,
Ear-Training and Sight-Singing
124
The
ear will wait during the passing of three or four tones for resolve, but will never feel satisfied unless it
an active tone to
eventually does resolve.
Thus:
JjJjiJjJjjiJjJjjj JJ
J
ii
g>
[
riJJfJrriJJpj rrpi
66768667628 6676321
6463 64623 646123
LESSON 22 Section A. Suggestions for Study: (1)
in each major key in the same manner and use an occasional wide skip.
Write a melody
is in previous lessons
Section B. (1)
Review the Intervals
18, Section B,
page 102;
of Lessons 16, Section C, page 92;
19, Section
B, page 107; 20, Section B,
page 114; and 21, Section B, page 119. (2)
Absolute Intervals.
The Minor
6th.
Play each of the intervals of (a) and sing 3 8 (minor 6th). Play the lower tone, sing the upper. Play the upper tone, sing the lower. (b) As the minor 6th is often confused with the perfect 4th, play each of the intervals of (a) followed by the perfect 4th in the same key, as outlined in (b). Sing 3 8 (minor 6th), 5 8 (perfect 4th). Compare the difference in quantity and quality. (c) Play each of the intervals of (c) and determine if it is a (a)
minor 6th or perfect 4th, testing if it is 3 8 or 5 8. (3) Review the chords of Lessons 18, Section B, page 102; 19, Section B, page 107; 20, Section B, page 115; and 21, Section B, page 119. (4) Melodies for Dictation and Singing, containing progressions allowed in Lesson 22, Section
A
and JJ53
ln
f
and
f
Wide Skips
Melody
JN& V J5./T1
J
-
.
J
J
J
J9iJ^
J
J9J.
J
(2) Exercises in Sight-Singing:
^i^i?^
i
g)Mr
-!
i_uf
r
S; ^
j
i
N
^
^
i
r3lr j
j^j
N
^
r^
r
^^
Ear-Training and Sight-Singing
144
^ j
j
jjJ
j,i
kij
j^
J
sf
p
\
J)
r
(i
icjj-
"^!P '-{j-"
r
T
J J
^?
m i11 12
CHAPTER XVII Period-Form
A
phrase in music corresponds to a simple sentence in English. In English we often use a compound sentence, which is in reality two sentences, one qualifying the other, each expressing a thought. In music a Period corresponds to this form. Period, when regular, consists of two phrases, each usually four measures long. The first is the Antecedent Phrase, the second
A
the Consequent Phrase. A period begins as any phrase, but the antecedent phrase ends with some tone of the V-chord, 5, 7 or 2, instead of 1 or 8. This gives the effect of being incomplete, and makes a Semi-Cadence. The consequent phrase ends with 1 or 8, a Perfect Authentic Cadence. A Period is in Parallel Construction when at least the first
measure of the antecedent and that of the consequent phraseare alike. There are three stages of parallel construction: (1) When the first three measures of the consequent phrase are like the first three measures of the antecedent phrase, the cadence alone being changed. (2) When the first two measures of the antecedent and the
consequent phrase are the same. (3) When the first measure of the antecedent the first measure of the consequent phrase.
is
the same as
LESSON 26 Parallel Construction
Section A. Suggestions for Study:
For each (l) Construct six periods in parallel construction. antecedent phrase make three consequent phrases, one of each stage.
(See model below.)
Ear-Training and Sight-Singing
146
Section B.
Review the Absolute Intervals of the preceding lessons. Continue the study of intervals m minor as outlined in Lesson 25, Section B, page 142. (3) The intervals used in a key have been between the tones 1358, which is the Tonic Chord. The Major 3rd, 1-3, from the Root to the Third of the chord. The Minor 3rd, 3-5, from the Third to the Fifth of the chord. The Major 6th, 5-3, from the Fifth to the Third of the chord. The Minor 6th, 3-8, from the Third to the Eighth of the (1) (2)
chord.
The The
Perfect 5th, 1 - 5, from the Root to the Fifth of the chord. Perfect 4th, 5-8, from the Fifth to the Eighth of the
chord.
Harmonic, and most Melodic Intervals, are parts of a chord
and sound
in relation to the
Since the
content
is
I,
V
Root of the chord.
and IV chords are major chords,
their interval
the same.
As these chords are used in composition, the same intervals occur between different scale-degrees. In the V, or Dominant Chord: 3rd, Root to Third, from 5th-7th degrees Minor 3rd, Third to Fifth, from 7th-2nd degrees
Major
6th, Fifth to Third, from 2nd-7th degrees Minor 6th, Third to Eighth, from
Major
In the IV, or Subdom. Chord:
from the 4th-6th degrees
from the 6th-8th degrees from the lst-6th degrees from the 6th-4th degrees
7th-5th degrees Perfect 5th, Root to Fifth, from
from the 4th-8th degrees
5th-2nd degrees Perfect 4th, Fifth to Eighth, from
from the lst-4th degrees
2nd-5th degrees All these intervals are consonant intervals, or intervals which
are complete and do not need resolution. As they occur in the I chord there is no question as to their position in the key. As different chords are used and four or five intervals occur in a chord, other than the I chord, there is a danger, because of their consonant
Period-Form
147
quality, of losing the feeling of the active
degrees, or the key-centre.
and
This cannot happen
inactive
scale-
the change of chord is recognized and the position of the intervals in' the chord For example, in this series the first three intervals, a is known. Major 3rd, 1 3, a Perfect 5th, 1 5, a Minor 6th, 3 8, are known to be in the I (tonic) chord, as music generally begins with the I chord. if
8
The next interval might be heard in the following ways: If the new (a) As a Major 3rd, but not in the I chord. chord is recognized as the V chord, its position is known to be from the 5th to the 7th degree of the scale. (b) If the scale-degrees 5 and 7 are recognized, it is known to be a Major 3rd and a part of the V chord. (c) The 7th degree might be recognized as the upper tone of a Major third, so the interval is from the 5th to the 7th degree and in the
V chord.
The next interval might be heard: (d) As a Perfect 5th and in the same chord as from the 5th degree to the 2nd. the scale-degrees 5 and 2 are heard, it
the preceding
interval, therefore If
(e)
a Perfect 5th in the
is
known
to be
V chord.
more
This likely to sound I to 5, or Root to Fifth. be a part of the same chord as the preceding interval, so it could not be from the 1st degree to the 5th, but from the Root to the Fifth of the V chord, and from the 5th degree to (0 It
is
interval is felt to
the 2nd.
The next
interval,
a Perfect 4th,
will
undoubtedly sound
like
the next, a Minor 6th, 3 up to 8. Unless we realize that these intervals are in the same chord as the two preceding and sound in relation to the root of that chord, the key-centre is lost. 5
to
up
1
;
If they are known to be a Perfect 4th, from the 5th to the 1st (or chord (not Root), and a Minor 6th from the 3rd to the 8th of the of the scale), they are easily placed in the key.
V
The last interval is heard as a Major 3rd in a different chord. As only the I chord can follow the V chord, the interval must be from
1
(4)
to 3.
Learn the positions of the intervals in major chords, i. e., major 3rd from Root, Third, etc.
Ear-Training and Sight-Singing
148
(5)
V chord,
Learn the position in the scale of the intervals i. e., Major 3rd from 5 to. 7, etc.
In each series the I chord. (6)
(c)
(b)
(a) is in
(c)
the
I
chord, (b) the
(b)
(a)
(c)
V
in the
chord, and
(a)
5 (b)
(a)
to)
(a) Practise (a)
(b)
as before,
(b)
(c)
(a)
-n
-n
-
J
j.
J
j J
Ear-Training and Sight-Singing
150
(a>
J 4
Period-Form
151
LESSON 27 Contrasting Construction
A phrase
Contrasting Construction when the Consequent from the Antecedent. Though the consequent be different, it will always be related to the antecedent
Period
Phrase
is
may
in style
is in
different
and general construction.
Section A. Suggestions for Study: six
(1) Write six periods in contrasting construction; each of the antecedent phrases to have three consequent phrases; thus:
Ear-Training and Sight-Singing
152
(4)
Play the
I-VM
IV
chords in every major key, as outlined.
7
I
and Singing. 2nd stage, and Contrasting Construe-
(5) Melodies for Dictation
Parallel Construction, tion:
|
J-
J>.|
J>J
J-
IJ
r
IJ.
U '
5
17
ir_B=igp
ILtf
eriffPlr:
L r
i
r
a }
*r
**
(a)
in
Ear-Training and Sight-Singing
162
Play the l-V-l chords
(a)
(3)
V7
I
(b)
in
every minor key.
I
Sing these chords in arpeggio form using number and letter-names.
(4)
Melodies for Dictation and Singing. Parallel and conFigures in sequence and repetition, modiadding tones and changing size of intervals.
trasting constructions.
by
fied
fta
i
r
j
j
r|--J
i
1
r
~^
8
jp
.g
ir
h
ir
J j
Modified Repetition and Sequence
Figure
In melodic analysis determine figure
(a)
first,
163
then modifi-
cations.
In outlining rhythm
(b)
check
No.
after,
as this
J7"3
and a
place 2 under dot
the only figure of two uneven notes.
is I
3.
2>
2
4
After writing,
(c)
mark
sequence and repetitions.
figures,
Section C. Rhythmic Study:
(1)
JJ
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