Example 1a. Harmonies from C Diatonic Collection
(D0 = C, D, E, F, G, A, B, C)

C^maj7, C^maj7/9, C^6/9 etc.
F^maj7(11)
D^min7/9, D^min7/9/11, D^min7/9/11/13
G^dom7/9, G^dom7/9/13
G^7sus
F^maj7/A
 

Example 1b. Harmonies from F Acoustic Collection
(A5 = F, G, A, B, C, D, E, F)
(Some harmonies include pcset [0148]:
C, E, G, B or E, G, B, D)

F13(¹¹)
C^minM7, C^minM7/9, C^minM7/9/11, C^{minM7/9/11/13}, C^min6/9, etc.
A^min7/9(5), A^min7/9/11(5), A^{min7/9/11/13(5)}
B⁷ altered (= ^{9, 9, 11, 13})
E^maj7(5), E^maj7/9(5)
 

Example 1c. Harmonies from D/E Octatonic Collection
(Oct 2,3 = D, E, F, G, A, A, B, C, D)

D⁷⁽⁹⁾, D¹³⁽⁹⁾, D^13(9/11)
F⁷⁽⁹⁾, F¹³⁽⁹⁾, F^13(9/11)
A⁷⁽⁹⁾, A¹³⁽⁹⁾, A^13(9/11)
B⁷⁽⁹⁾, B¹³⁽⁹⁾, B^13(9/11)
C^{o maj7}, C^o9(maj7), C^o11(maj7), C^{o 13(maj7)}
E^{o maj7}, E^o9(maj7), E^o11(maj7), E^{o 13(maj7)}
G^{o maj7}, G^o9(maj7), G^o11(maj7), G^{o 13(maj7)}
A^{o maj7}, A^o9(maj7), A^o11(maj7), A^{o 13(maj7)}
 

Example 1d. [0148] Harmonies from B/C Hexatonic Collection
(H0 = B, C, E, E, G, A)

B^maj7(5), E^maj7(5), G^maj7(5)
C^minM7, E^minM7, A^minM7
 

Example 1e. Specific Hexatonic Harmonies in Post-1960s Compositions

A^maj7(5/9): Wayne Shorter, “Vonetta”
A^maj7(5)/E: Chick Corea, “Song of the Wind”
E^minM7/A: Corea, “Song of the Wind”
A^maj7(5/5): Shorter, “Iris”