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72-et classes of scales based on 4375/4374

🔗genewardsmith <genewardsmith@juno.com>

1/8/2002 3:15:56 PM

I show the three vals I used to contruct these classes as well this time.

5 tones

[12, 7, 23]
[1, 2, 2]
[[1, 2, 2, 7], [2, 3, 4, 7], [2, 3, 5, 3]]

7 tones

[7, 11, 12]
[2, 2, 3]
[[2, 3, 4, 7], [2, 3, 5, 3], [3, 5, 7, 10]]

8 tones

[7, 5, 16]
[5, 1, 2]
[[5, 8, 11, 17], [1, 2, 2, 7], [2, 3, 5, 3]]

9 tones

[7, 12, 9]
[6, 1, 2]
[[6, 9, 14, 13], [1, 2, 2, 7], [2, 3, 5, 3]]

10 tones

[7, 3, 9]
[6, 1, 3]
[[6, 9, 14, 13], [1, 2, 2, 7], [3, 5, 7, 10]]

[7, 5, 9]
[7, 1, 2]
[[7, 11, 16, 20], [1, 2, 2, 7], [2, 3, 5, 3]]

[7, 11, 5]
[5, 2, 3]
[[5, 8, 11, 17], [2, 3, 5, 3], [3, 5, 7, 10]]

[11, 7, 1]
[5, 2, 3]
[[5, 8, 12, 13], [2, 3, 4, 7], [3, 5, 7, 10]]

11 tones

[12, 2, 7]
[1, 2, 8]
[[1, 2, 2, 7], [2, 3, 5, 3], [8, 12, 19, 16]]

12 tones

[7, 5, 2]
[9, 1, 2]
[[9, 14, 21, 23], [1, 2, 2, 7], [2, 3, 5, 3]]

[11, 1, 6]
[5, 5, 2]
[[5, 8, 12, 13], [5, 8, 11, 17], [2, 3, 4, 7]]

[5, 7, 6]
[5, 5, 2]
[[5, 8, 12, 13], [5, 8, 11, 17], [2, 3, 5, 3]]

[7, 4, 5]
[7, 2, 3]
[[7, 11, 16, 20], [2, 3, 5, 3], [3, 5, 7, 10]]

[10, 2, 7]
[1, 3, 8]
[[1, 2, 2, 7], [3, 5, 7, 10], [8, 12, 19, 16]]

13 tones

[8, 2, 7]
[1, 4, 8]
[[1, 2, 2, 7], [4, 7, 9, 17], [8, 12, 19, 16]]

[7, 6, 3]
[6, 3, 4]
[[6, 9, 14, 13], [3, 5, 7, 10], [4, 7, 9, 17]]

[7, 3, 2]
[9, 1, 3]
[[9, 14, 21, 23], [1, 2, 2, 7], [3, 5, 7, 10]]

14 tones

[7, 1, 2]
[9, 1, 4]
[[9, 14, 21, 23], [1, 2, 2, 7], [4, 7, 9, 17]]

[7, 1, 5]
[5, 2, 7]
[[5, 8, 11, 17], [2, 3, 5, 3], [7, 11, 17, 16]]

15 tones

[2, 11, 5]
[5, 2, 8]
[[5, 8, 11, 17], [2, 3, 5, 3], [8, 13, 18, 27]]

[10, 7, 1]
[5, 2, 8]
[[5, 8, 12, 13], [2, 3, 4, 7], [8, 13, 19, 23]]

[4, 7, 1]
[5, 7, 3]
[[5, 8, 12, 13], [7, 11, 16, 20], [3, 5, 7, 10]]

16 tones

[3, 4, 9]
[7, 6, 3]
[[7, 11, 16, 20], [6, 9, 14, 13], [3, 5, 7, 10]]

17 tones

[2, 9, 5]
[7, 2, 8]
[[7, 11, 16, 20], [2, 3, 5, 3], [8, 13, 18, 27]]

[5, 6, 1]
[5, 7, 5]
[[5, 8, 12, 13], [7, 11, 16, 20], [5, 8, 11, 17]]

19 tones

[1, 6, 5]
[7, 5, 7]
[[7, 11, 16, 20], [5, 8, 11, 17], [7, 11, 17, 16]]

[3, 4, 5]
[7, 9, 3]
[[7, 11, 16, 20], [9, 14, 21, 23], [3, 5, 7, 10]]

[1, 6, 3]
[6, 9, 4]
[[6, 9, 14, 13], [9, 14, 21, 23], [4, 7, 9, 17]]

[2, 7, 5]
[9, 2, 8]
[[9, 14, 21, 23], [2, 3, 5, 3], [8, 13, 18, 27]]

20 tones

[3, 7, 1]
[5, 7, 8]
[[5, 8, 12, 13], [7, 11, 16, 20], [8, 13, 19, 23]]