back to list

Classification of 31-et 5-tone chords to the 11-limit

🔗genewardsmith <genewardsmith@juno.com>

1/14/2002 2:05:53 AM

It is up to you whether you want to regard these as chords or pentatonic scales, but either way they are obviously very nifty things.

9-limit chords/scales

[0, 5, 10, 15, 20]

[0, 10, 15, 20, 26]

[0, 10, 15, 20, 25]

[0, 5, 13, 20, 26]

[0, 8, 13, 21, 26]

[0, 8, 16, 21, 26]

11-limit chords/scales

[0, 4, 11, 18, 25]

[0, 4, 11, 17, 24]

[0, 4, 11, 17, 26]

[0, 10, 18, 23, 27]

[0, 8, 15, 21, 25]

[0, 5, 10, 15, 20]

[0, 4, 8, 13, 22]

[0, 4, 8, 14, 22]

[0, 4, 10, 17, 26]

[0, 9, 16, 20, 24]

[0, 10, 15, 20, 26]

[0, 10, 15, 20, 25]

[0, 8, 14, 21, 25]

[0, 5, 13, 20, 26]

[0, 9, 13, 20, 27]

[0, 9, 16, 23, 27]

[0, 9, 16, 20, 27]

[0, 14, 18, 22, 27]

[0, 4, 9, 14, 22]

[0, 5, 11, 16, 22]

[0, 5, 10, 16, 25]

[0, 4, 10, 15, 20]

[0, 4, 9, 20, 25]

[0, 4, 9, 15, 26]

[0, 4, 9, 15, 20]

[0, 4, 9, 14, 25]

[0, 10, 16, 23, 27]

[0, 8, 13, 21, 26]

[0, 10, 16, 20, 27]

[0, 10, 16, 20, 24]

[0, 4, 13, 20, 26]

[0, 4, 15, 21, 26]

[0, 8, 16, 21, 26]

[0, 6, 16, 21, 27]

[0, 10, 14, 20, 25]

[0, 4, 9, 18, 22]

[0, 4, 9, 13, 22]

[0, 4, 8, 17, 22]

[0, 10, 14, 20, 27]

[0, 4, 11, 20, 25]

[0, 10, 17, 23, 27]

[0, 10, 17, 21, 27]

[0, 4, 9, 17, 22]

[0, 4, 9, 18, 26]

[0, 4, 11, 18, 26]

[0, 4, 8, 13, 18]

[0, 4, 11, 21, 26]

[0, 6, 16, 22, 26]

[0, 7, 13, 18, 24]

[0, 4, 11, 20, 26]

[0, 4, 17, 21, 26]

[0, 4, 9, 22, 27]

[0, 4, 9, 22, 26]

[0, 11, 17, 21, 25]

[0, 11, 15, 21, 25]

[0, 4, 14, 18, 22]