Some 8-tone 72-et scales

[0, 5, 12, 19, 35, 42, 58, 65]
[5, 7, 7, 16, 7, 16, 7, 7]
edges 11 17 22 connectivity 2 3 5

[0, 5, 12, 19, 35, 42, 49, 65]
[5, 7, 7, 16, 7, 7, 16, 7]
edges 11 18 21 connectivity 1 3 4

[0, 5, 12, 19, 26, 42, 49, 65]
[5, 7, 7, 7, 16, 7, 16, 7]
edges 9 15 21 connectivity 0 2 4

[0, 5, 12, 19, 26, 42, 58, 65]
[5, 7, 7, 7, 16, 16, 7, 7]
edges 7 13 21 connectivity 0 2 5

[0, 5, 12, 28, 35, 42, 49, 65]
[5, 7, 16, 7, 7, 7, 16, 7]
edges 9 17 20 connectivity 1 3 4

[0, 5, 12, 19, 35, 42, 49, 56]
[5, 7, 7, 16, 7, 7, 7, 16]
edges 8 17 20 connectivity 0 3 4

[0, 5, 12, 19, 26, 42, 49, 56]
[5, 7, 7, 7, 16, 7, 7, 16]
edges 8 16 20 connectivity 0 2 4

[0, 5, 12, 19, 26, 33, 49, 56]
[5, 7, 7, 7, 7, 16, 7, 16]
edges 6 13 19 connectivity 0 1 3

[0, 5, 12, 19, 26, 33, 49, 65]
[5, 7, 7, 7, 7, 16, 16, 7]
edges 5 11 19 connectivity 0 1 3

[0, 5, 12, 28, 35, 42, 49, 56]
[5, 7, 16, 7, 7, 7, 7, 16]
edges 6 14 18 connectivity 0 2 4

[0, 5, 21, 28, 35, 42, 49, 56]
[5, 16, 7, 7, 7, 7, 7, 16]
edges 4 13 18 connectivity 0 2 3

[0, 5, 12, 19, 26, 33, 40, 56]
[5, 7, 7, 7, 7, 7, 16, 16]
edges 3 11 18 connectivity 0 1 3

I've decided to add the 9-limit numbers to my set of measures; that gives us a better idea of the nature of these scales, in that we can see how much of the 11-limit harmony, if any, actually involves 11.

[0, 7, 14, 30, 37, 53, 60, 67]
[7, 7, 16, 7, 16, 7, 7, 5]
edges 11 17 21 22 connectivity 2 3 5 5

[0, 7, 14, 30, 37, 44, 60, 67]
[7, 7, 16, 7, 7, 16, 7, 5]
edges 11 18 21 21 connectivity 1 3 4 4

[0, 7, 14, 21, 37, 44, 60, 67]
[7, 7, 7, 16, 7, 16, 7, 5]
edges 9 15 19 21 connectivity 0 2 3 4

[0, 7, 14, 21, 37, 53, 60, 67]
[7, 7, 7, 16, 16, 7, 7, 5]
edges 7 13 18 21 connectivity 0 2 3 5

[0, 7, 14, 21, 37, 44, 49, 56]
[7, 7, 7, 16, 7, 5, 7, 16]
edges 9 17 19 20 connectivity 1 3 4 4

[0, 7, 14, 21, 37, 44, 51, 56]
[7, 7, 7, 16, 7, 7, 5, 16]
edges 8 17 18 20 connectivity 0 3 3 4

[0, 7, 14, 21, 37, 44, 51, 67]
[7, 7, 7, 16, 7, 7, 16, 5]
edges 8 16 18 20 connectivity 0 2 2 4

[0, 7, 14, 21, 28, 44, 51, 67]
[7, 7, 7, 7, 16, 7, 16, 5]
edges 6 13 15 19 connectivity 0 1 1 3

[0, 7, 14, 21, 28, 44, 60, 67]
[7, 7, 7, 7, 16, 16, 7, 5]
edges 5 11 15 19 connectivity 0 1 2 3

[0, 7, 14, 21, 28, 35, 51, 56]
[7, 7, 7, 7, 7, 16, 5, 16]
edges 4 13 13 18 connectivity 0 2 2 3

[0, 7, 14, 21, 28, 44, 51, 56]
[7, 7, 7, 7, 16, 7, 5, 16]
edges 6 14 15 18 connectivity 0 2 2 4

[0, 7, 14, 21, 28, 35, 51, 67]
[7, 7, 7, 7, 7, 16, 16, 5]
edges 3 11 13 18 connectivity 0 1 2 3

>I've decided to add the 9-limit numbers to my set of measures; that
>gives us a better idea of the nature of these scales, in that we
>can see how much of the 11-limit harmony, if any, actually involves
>11.

Good!

> [0, 7, 14, 30, 37, 53, 60, 67]
> [7, 7, 16, 7, 16, 7, 7, 5]
> edges 11 17 21 22 connectivity 2 3 5 5

This scale looks better than it would have. 5 at the 9 limit
is better than at the 11 limit. That's why I think we should
be normalizing against limit and cardinality of the scale.

-Carl