Jody Nagel
  (Click to send me e-mail)  
 
Voice-Leading Possibilities
Appendix 2

 
 

Appendix 2
C-major "progressing" to C-major, voiced among three instruments
(3 common-tones)
 

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

24 of 36 possible pitch-class assignment permutations use at least one common-tone.
Each instrument contributes to 4 x 3 = 12 pitch-class assignment permutations that contain at least one common-tone.
- 6 use three held common-tones. (3 x 2 x 1)
- 0 use two held common-tones. (Think! What could the remaining voice do if only two common tones were used?)
- 18 use one held common-tone. 3 x [ (4 x 3) - (3 x 2) ]
- 12 use no held common-tones. 36 - 6 - 0 - 18

 
Copyright © 2005 by Jody Nagel. All rights reserved. Call 1-765-759-1013 or Email for additional information.