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72-et diatonics vs 46-et diatonics

🔗genewardsmith <genewardsmith@juno.com>

1/8/2002 10:07:32 PM

The first class on my 4375/4374 list was a pentatonic one which we already did, and the second is the 72-et version of diatonic. I compare the 72-et version with 46-et in curly braces below it, and once again a scale with repeated semitones does quite well. This kind of diatonic seems to deserve some notice. It is also notworthy that it and some of the other scales actually work better in 72-et than they do in 46-et.

[0, 12, 23, 35, 46, 58, 65]
[12, 11, 12, 11, 12, 7, 7]
edges 8 11 18 connectivity 1 2 4

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

[0, 12, 23, 35, 42, 54, 65]
[12, 11, 12, 7, 12, 11, 7]
edges 11 12 17 connectivity 2 2 4

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

[0, 12, 24, 35, 47, 54, 61]
[12, 12, 11, 12, 7, 7, 11]
edges 6 10 17 connectivity 0 1 3

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

[0, 12, 23, 35, 46, 53, 65]
[12, 11, 12, 11, 7, 12, 7]
edges 9 10 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, 12, 24, 35, 42, 54, 61]
[12, 12, 11, 7, 12, 7, 11]
edges 8 10 16 connectivity 1 2 4

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

[0, 12, 24, 35, 42, 54, 65]
[12, 12, 11, 7, 12, 11, 7]
edges 9 10 15 connectivity 1 1 3

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

[0, 12, 24, 35, 47, 54, 65]
[12, 12, 11, 12, 7, 11, 7]
edges 7 9 15 connectivity 0 1 3

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

[0, 12, 24, 35, 47, 58, 65]
[12, 12, 11, 12, 11, 7, 7]
edges 5 8 15 connectivity 0 1 2

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

[0, 12, 23, 34, 46, 53, 65]
[12, 11, 11, 12, 7, 12, 7]
edges 8 8 14 connectivity 1 1 3

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

[0, 12, 24, 35, 46, 58, 65]
[12, 12, 11, 11, 12, 7, 7]
edges 5 7 14 connectivity 0 0 2

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

[0, 12, 24, 36, 47, 54, 61]
[12, 12, 12, 11, 7, 7, 11]
edges 4 7 14 connectivity 0 0 2

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

[0, 12, 24, 31, 42, 54, 65]
[12, 12, 7, 11, 12, 11, 7]
edges 8 8 13 connectivity 1 1 2

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

[0, 12, 24, 35, 42, 53, 65]
[12, 12, 11, 7, 11, 12, 7]
edges 7 8 13 connectivity 0 0 2

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

[0, 12, 24, 35, 46, 53, 65]
[12, 12, 11, 11, 7, 12, 7]
edges 5 6 12 connectivity 0 0 2

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

[0, 12, 24, 31, 43, 54, 65]
[12, 12, 7, 12, 11, 11, 7]
edges 6 6 11 connectivity 0 0 1

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

[0, 12, 24, 36, 47, 54, 65]
[12, 12, 12, 11, 7, 11, 7]
edges 4 5 11 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, 12, 24, 36, 47, 58, 65]
[12, 12, 12, 11, 11, 7, 7]
edges 2 4 11 connectivity 0 0 1

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

[0, 12, 24, 36, 43, 54, 65]
[12, 12, 12, 7, 11, 11, 7]
edges 4 4 9 connectivity 0 0 1

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