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Quasi-diatonic 46-et scales

🔗genewardsmith <genewardsmith@juno.com>

1/4/2002 1:04:32 PM

These are from my list of 46-et scale classes derived from 126/125~1.
The various goodness measures seem a little less correlated than they did in the case of the 72-et, and while the 46-et diatonic (and Indian diatonic) do well, they do not emerge as clear winners; the first scale listed in particular providing stiff competition. Two semitones in succession would certainly make for a different shape melodically, and the shift in empasis to the 11-limit means something quite different harmonically also.

I thought of adding the 13 and 17 limits, but it almost seems as if everything connects to everything else by the time we go there.

[0, 8, 15, 23, 30, 38, 42]
[8, 7, 8, 7, 8, 4, 4]
edges 8 9 17 connectivity 1 1 4

[0, 8, 15, 23, 27, 35, 42]
[8, 7, 8, 4, 8, 7, 4]
edges 11 11 16 connectivity 2 2 3

[0, 8, 15, 23, 30, 34, 42]
[8, 7, 8, 7, 4, 8, 4]
edges 9 10 16 connectivity 2 2 3

[0, 8, 15, 22, 30, 34, 42]
[8, 7, 7, 8, 4, 8, 4]
edges 8 10 16 connectivity 1 2 4

[0, 8, 16, 23, 30, 38, 42]
[8, 8, 7, 7, 8, 4, 4]
edges 5 7 16 connectivity 0 0 3

[0, 8, 16, 23, 27, 35, 42]
[8, 8, 7, 4, 8, 7, 4]
edges 9 9 15 connectivity 1 1 3

[0, 8, 16, 20, 27, 35, 42]
[8, 8, 4, 7, 8, 7, 4]
edges 8 9 15 connectivity 1 1 3

[0, 8, 16, 23, 27, 35, 39]
[8, 8, 7, 4, 8, 4, 7]
edges 8 8 15 connectivity 1 1 4

[0, 8, 16, 23, 31, 35, 39]
[8, 8, 7, 8, 4, 4, 7]
edges 7 7 15 connectivity 1 1 3

[0, 8, 16, 24, 31, 35, 39]
[8, 8, 8, 7, 4, 4, 7]
edges 6 7 15 connectivity 1 2 2

[0, 8, 16, 23, 31, 38, 42]
[8, 8, 7, 8, 7, 4, 4]
edges 6 7 15 connectivity 0 1 2

[0, 8, 16, 23, 31, 35, 42]
[8, 8, 7, 8, 4, 7, 4]
edges 8 8 14 connectivity 1 1 3

[0, 8, 16, 24, 31, 38, 42]
[8, 8, 8, 7, 7, 4, 4]
edges 3 5 14 connectivity 0 0 1

[0, 8, 16, 23, 27, 34, 42]
[8, 8, 7, 4, 7, 8, 4]
edges 7 7 13 connectivity 0 0 3

[0, 8, 16, 20, 28, 35, 42]
[8, 8, 4, 8, 7, 7, 4]
edges 6 7 13 connectivity 0 0 2

[0, 8, 16, 24, 31, 35, 42]
[8, 8, 8, 7, 4, 7, 4]
edges 5 6 13 connectivity 0 1 2

[0, 8, 16, 23, 30, 34, 42]
[8, 8, 7, 7, 4, 8, 4]
edges 5 6 13 connectivity 0 0 2

[0, 8, 16, 24, 28, 35, 42]
[8, 8, 8, 4, 7, 7, 4]
edges 4 5 12 connectivity 0 0 2