back to list

Some 10-note, 11-limit 72-et scales

🔗Gene W Smith <genewardsmith@juno.com>

6/13/2002 7:58:18 PM

Since these are 72-et scales, I'm posting this to the main list. I first
give a Fokker block which is a JI version, and then
the 72-et scale. These are 11-limit planar temperament scales based on
the commas 242/241 and 385/384, so this is related to Miracle.
"connectivity" means in the 11-limit, and the odd limits from 3 to 11 are
given with the number of corresponding intervals and triads.

[1, 189/176, 8/7, 27/22, 4/3, 45/32, 3/2, 18/11, 7/4, 144/77]

[0, 5, 16, 21, 30, 35, 42, 51, 56, 67]

connectivity 6

3: 4 0
5: 5 0
7: 18 6
9: 25 19
11: 37 63

[1, 12/11, 9/8, 27/22, 4/3, 108/77, 3/2, 18/11, 16/9, 81/44]

[0, 9, 12, 21, 30, 35, 42, 51, 60, 63]

connectivity 6

3: 7 0
5: 8 0
7: 11 1
9: 17 9
11: 36 63

[1, 16/15, 220/189, 27/22, 21/16, 10/7, 32/21, 44/27, 189/110, 15/8]

[0, 7, 14, 21, 30, 35, 42, 51, 58, 65]

connectivity 5

3: 4 0
5: 7 0
7: 21 8
9: 22 11
11: 31 37

[1, 189/176, 8/7, 27/22, 4/3, 108/77, 3/2, 18/11, 7/4, 144/77]

[0, 7, 16, 21, 28, 37, 44, 51, 56, 65]

connectivity 5

3: 2 0
5: 7 1
7: 20 9
9: 22 13
11: 30 32

🔗genewardsmith <genewardsmith@juno.com>

6/13/2002 9:25:57 PM

--- In tuning@y..., Gene W Smith <genewardsmith@j...> wrote:

These are 11-limit planar temperament scales based on
> the commas 242/241 and 385/384

Should be 243/242; 241 is a prime, and I don't plan on investigating the 241-limit.