054.Curso de Harmonia avançada - 1

I Festival de Música de Ourinhos (2001) (Revisão 2006)

Curso de

HARMONIA AVANÇADA

Marcelo Mello

MARCELO MELLO - Harmonia Avançada – Apostila (I Festival de Música de Ourinhos – 2001)

http://www.marcelomelloweb.cjb.net 

ÍNDICE: 

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#$#% & " '  (    (    (     #$ )  *

APRESENTAÇÃO

+,-./012+3,.402+56.789,,56:+49;95;0.7.4.0-./09,?704.202+=;0, -0;@A;70;[email protected]>92+; >E   7 +:F5 -F GF,*'! 8)(1H-)!7%>I >J  ..!"  & $              . #5+%,#  0#5%K3   ? $  ?% +   !   1* )  AA  &  >3       ( $ %!B     C    .-9-.!B $03"4*55"  %

 5$"@?% Nota C0 C# 0 D0 D# 0 E0 F0 F# 0 G0 G# 0 A0 A# 0 B0 C1 C# 1 D1 D# 1 E1 F1 F# 1 G1 G# 1 A1

Frequência (Hz) 32.703194 34.647823 36.708096 38.890873 41.203442 43.653526 46.249302 48.999424 51.91309 55. 58.270466 61.735416 65.40638 69.295647 73.416199 77.781746 82.406876 87.307053 92.498604 97.998848 103.82618 110.

Nota A# 1 B1 F# 2 G2 G# 2 A2 A# 2 B2 C3 C# 3 D3 D# 3 E3 F3 F# 3 G3 G# 3 A3 A# 3 B3 C4 C# 4

Frequência (Hz) 116.540947 123.470818 184.997208 195.997711 207.652344 220. 233.081848 246.941635 261.625519 277.182648 293.664734 311.126984 329.627533 349.228241 369.994385 391.995392 415.304688 440. 466.163788 493.883301 523.251099 554.365234

Nota D4 D# 4 E4 F4 G4 G# 4 A4 A# 4 B4 C5 C# 5 D5 D# 5 E5 F5 F# 5 G5 G# 5 A5 A# 5 B5 C6

Frequência (Hz) 587.329529 622.253906 659.255127 698.456482 783.990845 830.609375 880. 932.327576 987.766602 1046.502075 1108.730591 1174.659058 1244.507935 1318.510254 1396.912964 1479.977539 1567.981812 1661.21875 1760. 1864.654785 1975.533325 2093.004395

 5 $003 "4*55" %        ) D      '(!8+ )'(&?'(   '( )   ! "       '(EE$F /!%'(

13

MARCELO MELLO - Harmonia Avançada – Apostila (I Festival de Música de Ourinhos – 2001)

http://www.marcelomelloweb.cjb.net 

6& -H '?    ! & .H '?     -H!CAoitavaA!I ;' ;;-H'?      $ JK%! 5      '?         $   chroma % ! & ;                      '?!L'JK!&JK F?1>0)78)7?!7-H '?D-M?.H)# ?)?JK!

"6'?#B (!& ;   (  !  &        #   $+#%        6)B        4.2.

Origens históricas

*    6B  +        3 >! "      +   '     ;  # !N!*#  + '# ! *     E    * (9 (:BCDE$3-$F"A8#!*& ("#$  (F-G  "AH#&)* 5   5 ' %   I    +&G J$:DK "AL#+*5)      J. S. Bach, Coral 115 - “Was mein Gott will, das g’scheh

allzeit” (da Paixão segundo São Mateus, BWV 244).  Josquin Desprez, El grillo.  W. A. Mozart,  Ave Verum Corpus (moteto).  Take 5, Come unto me (transcr. Paulo Rowlands) .

5.2.

Baixo cifrado

()! &;=)4 )&.

)5"   !   *    #          !       ) %    -$C    &  @"=DE$DG=#

 W. A. Mozart,  Ave verum corpus. (exercício cap. 5)

 J. S. Bach, Coral 10 – “  Aus tiefer Not schrer ich zu dir”. (exercício cap. 5)

 J. S. Bach, Coral 11 – “ Jesu, num sei gepreiset”. (exercício cap. 5)

 G. F. Haendel, Concerto Grosso op. 6, N°12 (mov. 3 – Air with

Double) (exercício cap. 5)

 P. Hindemith, Curso condensado de harmonia, ex. 20. (exercício cap. 5)

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