Enneatonic MOS
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Families of nonatonic MOS scales for all n-EDO tunings until 36EDO
Names for MOS families (according to the naming scheme):
1L 8s antisubneutralic
2L 7s balzano
3L 6s tcherepnin
4L 5s gramitonic
5L 4s semiquartal
6L 3s hyrulic
7L 2s armotonic
8L 1s subneutralic
Additional constraints: L/s < 5, L/s > 7/6
n | MOS family | L | s |
---|---|---|---|
10 | antisubneutralic | 2 | 1 |
11 | antisubneutralic | 3 | 1 |
11 | balzano | 2 | 1 |
12 | antisubneutralic | 4 | 1 |
12 | tcherepnin | 2 | 1 |
13 | balzano | 3 | 1 |
13 | gramitonic | 2 | 1 |
14 | semiquartal | 2 | 1 |
15 | balzano | 4 | 1 |
15 | tcherepnin | 3 | 1 |
15 | hyrulic | 2 | 1 |
16 | armotonic | 2 | 1 |
17 | gramitonic | 3 | 1 |
17 | subneutralic | 2 | 1 |
18 | tcherepnin | 4 | 1 |
19 | antisubneutralic | 3 | 2 |
19 | semiquartal | 3 | 1 |
20 | antisubneutralic | 4 | 2 |
20 | balzano | 3 | 2 |
21 | antisubneutralic | 5 | 2 |
21 | tcherepnin | 3 | 2 |
21 | gramitonic | 4 | 1 |
21 | hyrulic | 3 | 1 |
22 | antisubneutralic | 6 | 2 |
22 | balzano | 4 | 2 |
22 | gramitonic | 3 | 2 |
23 | antisubneutralic | 7 | 2 |
23 | semiquartal | 3 | 2 |
23 | armotonic | 3 | 1 |
24 | antisubneutralic | 8 | 2 |
24 | balzano | 5 | 2 |
24 | tcherepnin | 4 | 2 |
24 | semiquartal | 4 | 1 |
24 | hyrulic | 3 | 2 |
25 | antisubneutralic | 9 | 2 |
25 | armotonic | 3 | 2 |
25 | subneutralic | 3 | 1 |
26 | balzano | 6 | 2 |
26 | gramitonic | 4 | 1 |
26 | subneutralic | 3 | 2 |
27 | tcherepnin | 5 | 2 |
27 | hyrulic | 4 | 1 |
28 | antisubneutralic | 4 | 3 |
28 | balzano | 7 | 2 |
28 | semiquartal | 4 | 2 |
29 | antisubneutralic | 5 | 3 |
29 | balzano | 4 | 3 |
30 | antisubneutralic | 6 | 3 |
30 | balzano | 8 | 3 |
30 | tcherepnin | 6 | 2 |
30 | tcherepnin | 4 | 3 |
30 | gramitonic | 5 | 2 |
30 | hyrulic | 4 | 2 |
30 | armotonic | 4 | 1 |
31 | antisubneutralic | 7 | 3 |
31 | balzano | 5 | 3 |
31 | gramitonic | 4 | 3 |
32 | antisubneutralic | 8 | 3 |
32 | balzano | 9 | 2 |
32 | semiquartal | 4 | 3 |
32 | armotonic | 4 | 2 |
33 | antisubneutralic | 9 | 3 |
33 | balzano | 6 | 3 |
33 | tcherepnin | 7 | 2 |
33 | antisubneutralic | 5 | 3 |
33 | semiquartal | 5 | 2 |
33 | hyrulic | 4 | 3 |
34 | antisubneutralic | 10 | 3 |
34 | gramitonic | 6 | 2 |
34 | armotonic | 4 | 3 |
34 | subneutralic | 4 | 2 |
35 | antisubneutralic | 11 | 3 |
35 | balzano | 7 | 3 |
35 | gramitonic | 5 | 3 |
35 | subneutralic | 4 | 3 |
36 | antisubneutralic | 12 | 3 |
36 | tcherepnin | 8 | 2 |
36 | tcherepnin | 6 | 3 |
36 | hyrulic | 5 | 2 |
XXX | |||
41 | antisubneutralic | 9 | 4 |
41 | balzano | 10 | 3 |
41 | semiquartal | 5 | 4 |
41 | armotonic | 5 | 3 |