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Some 8-note 7-limit scales

🔗genewardsmith <genewardsmith@juno.com>

1/2/2002 7:14:43 PM

These are based on (21/20)^3 (15/14) (10/9)^2 (8/7)^2 = 2

[1, 21/20, 9/8, 5/4, 21/16, 3/2, 63/40, 7/4]
[21/20, 15/14, 10/9, 21/20, 8/7, 21/20, 10/9, 8/7]
edges 16 connectivity 3

[1, 21/20, 7/6, 49/40, 7/5, 147/100, 49/30, 7/4]
[21/20, 10/9, 21/20, 8/7, 21/20, 10/9, 15/14, 8/7]
edges 16 connectivity 2

[1, 21/20, 9/8, 5/4, 21/16, 3/2, 63/40, 9/5]
[21/20, 15/14, 10/9, 21/20, 8/7, 21/20, 8/7, 10/9]
edges 15 connectivity 2

[1, 21/20, 9/8, 5/4, 21/16, 3/2, 5/3, 7/4]
[21/20, 15/14, 10/9, 21/20, 8/7, 10/9, 21/20, 8/7]
edges 15 connectivity 2

[1, 21/20, 9/8, 9/7, 27/20, 3/2, 63/40, 9/5]
[21/20, 15/14, 8/7, 21/20, 10/9, 21/20, 8/7, 10/9]
edges 15 connectivity 1

[1, 21/20, 9/8, 9/7, 27/20, 3/2, 12/7, 9/5]
[21/20, 15/14, 8/7, 21/20, 10/9, 8/7, 21/20, 10/9]
edges 14 connectivity 2

[1, 21/20, 9/8, 9/7, 10/7, 3/2, 12/7, 9/5]
[21/20, 15/14, 8/7, 10/9, 21/20, 8/7, 21/20, 10/9]
edges 14 connectivity 2

[1, 21/20, 9/8, 189/160, 21/16, 3/2, 63/40, 7/4]
[21/20, 15/14, 21/20, 10/9, 8/7, 21/20, 10/9, 8/7]
edges 14 connectivity 1

[1, 21/20, 9/8, 189/160, 21/16, 3/2, 63/40, 9/5]
[21/20, 15/14, 21/20, 10/9, 8/7, 21/20, 8/7, 10/9]
edges 14 connectivity 1

[1, 21/20, 9/8, 5/4, 10/7, 3/2, 5/3, 7/4]
[21/20, 15/14, 10/9, 8/7, 21/20, 10/9, 21/20, 8/7]
edges 14 connectivity 1

[1, 21/20, 7/6, 5/4, 25/18, 35/24, 5/3, 7/4]
[21/20, 10/9, 15/14, 10/9, 21/20, 8/7, 21/20, 8/7]
edges 14 connectivity 1

[1, 21/20, 441/400, 63/50, 7/5, 147/100, 63/40, 7/4]
[21/20, 21/20, 8/7, 10/9, 21/20, 15/14, 10/9, 8/7]
edges 13 connectivity 2

[1, 21/20, 9/8, 5/4, 21/16, 3/2, 12/7, 9/5]
[21/20, 15/14, 10/9, 21/20, 8/7, 8/7, 21/20, 10/9]
edges 13 connectivity 2

[1, 21/20, 9/8, 5/4, 10/7, 3/2, 12/7, 9/5]
[21/20, 15/14, 10/9, 8/7, 21/20, 8/7, 21/20, 10/9]
edges 13 connectivity 2

[1, 21/20, 441/400, 49/40, 7/5, 147/100, 63/40, 7/4]
[21/20, 21/20, 10/9, 8/7, 21/20, 15/14, 10/9, 8/7]
edges 13 connectivity 2

[1, 21/20, 441/400, 49/40, 21/16, 3/2, 63/40, 7/4]
[21/20, 21/20, 10/9, 15/14, 8/7, 21/20, 10/9, 8/7]
edges 13 connectivity 1

[1, 21/20, 441/400, 49/40, 7/5, 147/100, 49/30, 7/4]
[21/20, 21/20, 10/9, 8/7, 21/20, 10/9, 15/14, 8/7]
edges 13 connectivity 1

[1, 21/20, 441/400, 49/40, 7/5, 3/2, 63/40, 7/4]
[21/20, 21/20, 10/9, 8/7, 15/14, 21/20, 10/9, 8/7]
edges 13 connectivity 1

[1, 21/20, 7/6, 49/40, 49/36, 343/240, 49/30, 7/4]
[21/20, 10/9, 21/20, 10/9, 21/20, 8/7, 15/14, 8/7]
edges 12 connectivity 2

[1, 21/20, 9/8, 189/160, 27/20, 3/2, 63/40, 7/4]
[21/20, 15/14, 21/20, 8/7, 10/9, 21/20, 10/9, 8/7]
edges 12 connectivity 2

[1, 21/20, 9/8, 9/7, 27/20, 3/2, 63/40, 7/4]
[21/20, 15/14, 8/7, 21/20, 10/9, 21/20, 10/9, 8/7]
edges 12 connectivity 2

[1, 21/20, 9/8, 5/4, 21/16, 35/24, 5/3, 7/4]
[21/20, 15/14, 10/9, 21/20, 10/9, 8/7, 21/20, 8/7]
edges 12 connectivity 1

[1, 21/20, 441/400, 189/160, 21/16, 3/2, 63/40, 7/4]
[21/20, 21/20, 15/14, 10/9, 8/7, 21/20, 10/9, 8/7]
edges 12 connectivity 1

[1, 21/20, 7/6, 49/40, 49/36, 35/24, 5/3, 7/4]
[21/20, 10/9, 21/20, 10/9, 15/14, 8/7, 21/20, 8/7]
edges 12 connectivity 1

[1, 21/20, 9/8, 9/7, 10/7, 3/2, 5/3, 7/4]
[21/20, 15/14, 8/7, 10/9, 21/20, 10/9, 21/20, 8/7]
edges 11 connectivity 2

[1, 21/20, 441/400, 189/160, 21/16, 3/2, 63/40, 9/5]
[21/20, 21/20, 15/14, 10/9, 8/7, 21/20, 8/7, 10/9]
edges 11 connectivity 1

[1, 21/20, 441/400, 189/160, 21/16, 441/320, 63/40, 7/4]
[21/20, 21/20, 15/14, 10/9, 21/20, 8/7, 10/9, 8/7]
edges 11 connectivity 1

[1, 21/20, 441/400, 49/40, 21/16, 3/2, 63/40, 9/5]
[21/20, 21/20, 10/9, 15/14, 8/7, 21/20, 8/7, 10/9]
edges 11 connectivity 1

[1, 21/20, 441/400, 49/40, 1029/800, 147/100, 63/40, 7/4]
[21/20, 21/20, 10/9, 21/20, 8/7, 15/14, 10/9, 8/7]
edges 11 connectivity 1

[1, 21/20, 9/8, 5/4, 21/16, 35/24, 49/32, 7/4]
[21/20, 15/14, 10/9, 21/20, 10/9, 21/20, 8/7, 8/7]
edges 11 connectivity 1

[1, 21/20, 441/400, 49/40, 21/16, 441/320, 63/40, 7/4]
[21/20, 21/20, 10/9, 15/14, 21/20, 8/7, 10/9, 8/7]
edges 11 connectivity 1

[1, 21/20, 9/8, 189/160, 21/16, 441/320, 63/40, 7/4]
[21/20, 15/14, 21/20, 10/9, 21/20, 8/7, 10/9, 8/7]
edges 11 connectivity 1

[1, 21/20, 441/400, 189/160, 27/20, 3/2, 63/40, 9/5]
[21/20, 21/20, 15/14, 8/7, 10/9, 21/20, 8/7, 10/9]
edges 11 connectivity 1

[1, 21/20, 441/400, 49/40, 7/5, 147/100, 63/40, 9/5]
[21/20, 21/20, 10/9, 8/7, 21/20, 15/14, 8/7, 10/9]
edges 11 connectivity 1

[1, 21/20, 441/400, 63/50, 1323/1000, 147/100, 63/40, 7/4]
[21/20, 21/20, 8/7, 21/20, 10/9, 15/14, 10/9, 8/7]
edges 11 connectivity 1

[1, 21/20, 441/400, 63/50, 27/20, 3/2, 63/40, 7/4]
[21/20, 21/20, 8/7, 15/14, 10/9, 21/20, 10/9, 8/7]
edges 11 connectivity 1

[1, 21/20, 9/8, 9/7, 27/20, 54/35, 12/7, 9/5]
[21/20, 15/14, 8/7, 21/20, 8/7, 10/9, 21/20, 10/9]
edges 11 connectivity 1

[1, 21/20, 441/400, 49/40, 1029/800, 147/100, 49/30, 7/4]
[21/20, 21/20, 10/9, 21/20, 8/7, 10/9, 15/14, 8/7]
edges 10 connectivity 1

[1, 21/20, 9/8, 9/7, 27/20, 3/2, 5/3, 7/4]
[21/20, 15/14, 8/7, 21/20, 10/9, 10/9, 21/20, 8/7]
edges 10 connectivity 1

[1, 21/20, 9/8, 9/7, 72/49, 54/35, 12/7, 9/5]
[21/20, 15/14, 8/7, 8/7, 21/20, 10/9, 21/20, 10/9]
edges 10 connectivity 1

[1, 21/20, 441/400, 189/160, 27/20, 3/2, 63/40, 7/4]
[21/20, 21/20, 15/14, 8/7, 10/9, 21/20, 10/9, 8/7]
edges 10 connectivity 1

[1, 21/20, 441/400, 49/40, 1029/800, 441/320, 63/40, 7/4]
[21/20, 21/20, 10/9, 21/20, 15/14, 8/7, 10/9, 8/7]
edges 9 connectivity 1

[1, 21/20, 9/8, 189/160, 27/20, 567/400, 63/40, 7/4]
[21/20, 15/14, 21/20, 8/7, 21/20, 10/9, 10/9, 8/7]
edges 9 connectivity 1

[1, 21/20, 441/400, 189/160, 27/20, 567/400, 63/40, 7/4]
[21/20, 21/20, 15/14, 8/7, 21/20, 10/9, 10/9, 8/7]
edges 8 connectivity 1

[1, 21/20, 441/400, 9261/8000, 1323/1000, 147/100, 63/40, 7/4]
[21/20, 21/20, 21/20, 8/7, 10/9, 15/14, 10/9, 8/7]
edges 8 connectivity 1

[1, 21/20, 441/400, 189/160, 3969/3200, 567/400, 63/40, 7/4]
[21/20, 21/20, 15/14, 21/20, 8/7, 10/9, 10/9, 8/7]
edges 7 connectivity 1