Index
Set Classes
Cluster-free
Chromatic
By Evenness
Limited Transposition
Limited Transposition
Index
Perfectly even chords and scales are limited in their voice leading possibilities partly because they have a limited number of transpositions. The Limited Transposition index lists all possible modes of limited transposition for 12-TET.
More 
Examples of perfectly even chords and scales are the diminished seventh, augmented triad, and hexatonic whole-tone scale.
There are three transpositions of the diminished seventh chord, not twelve: C dim 7 = E♭ dim 7 = F# dim 7 = A dim 7 (one), D♭ dim 7 = ... (two), D dim 7 = ... (three).
There are only 
four different augmented triads: C Aug = E Aug = A♭ Aug (one), D♭ Aug = ... (two), D Aug = ... (three), Eb Aug = ... (four).
See Grouping Clocks for more.
3 Notes
3-12
4 Notes
4-28
4-25
4-9
6 Notes
6-7
8 Notes
8-25
8-9
9 Notes
Perfectly even chords and scales are limited in their voice leading possibilities partly because they have a limited number of transpositions. The Limited Transposition index lists all possible modes of limited transposition for 12-TET.
More
Examples of perfectly even chords and scales are the diminished seventh, augmented triad, and hexatonic whole-tone scale.
There are three transpositions of the diminished seventh chord, not twelve: C dim 7 = E♭ dim 7 = F# dim 7 = A dim 7 (one), D♭ dim 7 = ... (two), D dim 7 = ... (three).
There are only four different augmented triads: C Aug = E Aug = A♭ Aug (one), D♭ Aug = ... (two), D Aug = ... (three), Eb Aug = ... (four).
See Grouping Clocks for more.
