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Nonatonic scales

🔗genewardsmith <genewardsmith@juno.com>

12/29/2001 8:40:54 PM

I've put the ones with connectivity of two in front; the number is the edge connectivity. I'm afraid I was lazy and didn't try to find a good mode for these; it would be interesting to see what the lattice diagrams of these scales look like, and that would tell us a good choice for 1/1.

[1, 25/24, 10/9, 32/27, 4/3, 25/18, 40/27, 5/3, 16/9]
[25/24, 16/15, 16/15, 9/8, 25/24, 16/15, 9/8, 16/15, 9/8] 2

[1, 25/24, 10/9, 5/4, 125/96, 25/18, 25/16, 5/3, 15/8]
[25/24, 16/15, 9/8, 25/24, 16/15, 9/8, 16/15, 9/8, 16/15] 2

[1, 25/24, 10/9, 5/4, 4/3, 25/18, 40/27, 5/3, 16/9]
[25/24, 16/15, 9/8, 16/15, 25/24, 16/15, 9/8, 16/15, 9/8] 2

[1, 25/24, 10/9, 5/4, 4/3, 25/18, 25/16, 5/3, 16/9]
[25/24, 16/15, 9/8, 16/15, 25/24, 9/8, 16/15, 16/15, 9/8] 2

[1, 25/24, 625/576, 125/108, 125/96, 25/18, 25/16, 5/3, 15/8]
[25/24, 25/24, 16/15, 9/8, 16/15, 9/8, 16/15, 9/8, 16/15] 1

[1, 25/24, 10/9, 125/108, 100/81, 25/18, 40/27, 5/3, 16/9]
[25/24, 16/15, 25/24, 16/15, 9/8, 16/15, 9/8, 16/15, 9/8] 1

[1, 25/24, 10/9, 125/108, 125/96, 25/18, 40/27, 5/3, 16/9]
[25/24, 16/15, 25/24, 9/8, 16/15, 16/15, 9/8, 16/15, 9/8] 1

[1, 25/24, 10/9, 32/27, 100/81, 25/18, 40/27, 5/3, 16/9]
[25/24, 16/15, 16/15, 25/24, 9/8, 16/15, 9/8, 16/15, 9/8] 1

[1, 25/24, 10/9, 32/27, 4/3, 25/18, 40/27, 128/81, 16/9]
[25/24, 16/15, 16/15, 9/8, 25/24, 16/15, 16/15, 9/8, 9/8] 1

[1, 25/24, 10/9, 32/27, 4/3, 25/18, 25/16, 5/3, 16/9]
[25/24, 16/15, 16/15, 9/8, 25/24, 9/8, 16/15, 16/15, 9/8] 1

[1, 25/24, 10/9, 32/27, 4/3, 64/45, 40/27, 5/3, 16/9]
[25/24, 16/15, 16/15, 9/8, 16/15, 25/24, 9/8, 16/15, 9/8] 1

[1, 25/24, 10/9, 32/27, 4/3, 64/45, 8/5, 5/3, 16/9]
[25/24, 16/15, 16/15, 9/8, 16/15, 9/8, 25/24, 16/15, 9/8] 1

[1, 25/24, 10/9, 32/27, 4/3, 3/2, 8/5, 5/3, 16/9]
[25/24, 16/15, 16/15, 9/8, 9/8, 16/15, 25/24, 16/15, 9/8] 1

[1, 25/24, 10/9, 5/4, 125/96, 25/18, 25/16, 5/3, 16/9]
[25/24, 16/15, 9/8, 25/24, 16/15, 9/8, 16/15, 16/15, 9/8] 1

[1, 25/24, 10/9, 5/4, 4/3, 25/18, 40/27, 5/3, 15/8]
[25/24, 16/15, 9/8, 16/15, 25/24, 16/15, 9/8, 9/8, 16/15] 1

[1, 25/24, 10/9, 5/4, 4/3, 64/45, 8/5, 128/75, 16/9]
[25/24, 16/15, 9/8, 16/15, 16/15, 9/8, 16/15, 25/24, 9/8] 1