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 |