Jody Nagel
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Voice-Leading Possibilities
Appendix 1

 
 

Appendix 1
C-major progressing to A-minor, voiced among three instruments
(2 common-tones)
 

Flute Oboe Clar.
C-A E-C G-E
C-A E-E G-C
C-A G-C E-E
C-A G-E E-C
 
Flute Oboe Clar.
E-A C-C G-E
E-A C-E G-C
E-A G-C C-E
E-A G-E C-C
 
Flute Oboe Clar.
G-A C-C E-E
G-A C-E E-C
G-A E-C C-E
G-A E-E C-C
 
 
C-C E-A G-E
C-C E-E G-A
C-C G-A E-E
C-C G-E E-A
 
E-C C-A G-E
E-C C-E G-A
E-C G-A C-E
E-C G-E C-A
 
G-C C-A E-E
G-C C-E E-A
G-C E-A C-E
G-C E-E C-G
 
 
C-E E-A G-C
C-E E-C G-A
C-E G-A E-C
C-E G-C E-A
 
E-E C-A G-C
E-E C-C G-A
E-E G-A C-C
E-E G-C C-A
 
G-E C-A E-C
G-E C-C E-A
G-E E-A C-C
G-E E-C C-A
 
 

18 of 36 possible pitch-class assignment permutations use at least one common-tone.
Each instrument contributes to 4 x 2 = 8 pitch-class assignment permutations that contain at least one common-tone.
- 6 use two held common-tones. 3 x 2
- 12 use one held common-tone. 3 x [ (4 x 2) - (2 x 2) ]
- 18 use no held common-tones. 36 - 6 - 12
 

 
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