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 Happy nonatonic
2L 7s fair mavila
3L 6s fair augmented
4L 5s fair bug
5L 4s unfair bug
6L 3s unfair augmented
7L 2s unfair mavila
8L 1s Grumpy nonatonic
Additional constraints: L/s < 5, L/s > 7/6
n | MOS family | L | s |
---|---|---|---|
10 | Happy nonatonic | 2 | 1 |
11 | Happy nonatonic | 3 | 1 |
11 | fair mavila | 2 | 1 |
12 | Happy nonatonic | 4 | 1 |
12 | fair augmented | 2 | 1 |
13 | fair mavila | 3 | 1 |
13 | fair bug | 2 | 1 |
14 | unfair bug | 2 | 1 |
15 | fair mavila | 4 | 1 |
15 | fair augmented | 3 | 1 |
15 | unfair augmented | 2 | 1 |
16 | unfair mavila | 2 | 1 |
17 | fair bug | 3 | 1 |
17 | Grumpy nonatonic | 2 | 1 |
18 | fair augmented | 4 | 1 |
19 | Happy nonatonic | 3 | 2 |
19 | unfair bug | 3 | 1 |
20 | Happy nonatonic | 4 | 2 |
20 | fair mavila | 3 | 2 |
21 | Happy nonatonic | 5 | 2 |
21 | fair augmented | 3 | 2 |
21 | fair bug | 4 | 1 |
21 | unfair augmented | 3 | 1 |
22 | Happy nonatonic | 6 | 2 |
22 | fair mavila | 4 | 2 |
22 | fair bug | 3 | 2 |
23 | Happy nonatonic | 7 | 2 |
23 | unfair bug | 3 | 2 |
23 | unfair mavila | 3 | 1 |
24 | Happy nonatonic | 8 | 2 |
24 | fair mavila | 5 | 2 |
24 | fair augmented | 4 | 2 |
24 | unfair bug | 4 | 1 |
24 | unfair augmented | 3 | 2 |
25 | Happy nonatonic | 9 | 2 |
25 | unfair mavila | 3 | 2 |
25 | Grumpy nonatonic | 3 | 1 |
26 | fair mavila | 6 | 2 |
26 | fair bug | 4 | 1 |
26 | Grumpy nonatonic | 3 | 2 |
27 | fair augmented | 5 | 2 |
27 | unfair augmented | 4 | 1 |
28 | Happy nonatonic | 4 | 3 |
28 | fair mavila | 7 | 2 |
28 | unfair bug | 4 | 2 |
29 | Happy nonatonic | 5 | 3 |
29 | fair mavila | 4 | 3 |
30 | Happy nonatonic | 6 | 3 |
30 | fair mavila | 8 | 3 |
30 | fair augmented | 6 | 2 |
30 | fair augmented | 4 | 3 |
30 | fair bug | 5 | 2 |
30 | unfair augmented | 4 | 2 |
30 | unfair mavila | 4 | 1 |
31 | Happy nonatonic | 7 | 3 |
31 | fair mavila | 5 | 3 |
31 | fair bug | 4 | 3 |
32 | Happy nonatonic | 8 | 3 |
32 | fair mavila | 9 | 2 |
32 | unfair bug | 4 | 3 |
32 | unfair mavila | 4 | 2 |
33 | Happy nonatonic | 9 | 3 |
33 | fair mavila | 6 | 3 |
33 | fair augmented | 7 | 2 |
33 | Happy nonatonic | 5 | 3 |
33 | unfair bug | 5 | 2 |
33 | unfair augmented | 4 | 3 |
34 | Happy nonatonic | 10 | 3 |
34 | fair bug | 6 | 2 |
34 | unfair mavila | 4 | 3 |
34 | Grumpy nonatonic | 4 | 2 |
35 | Happy nonatonic | 11 | 3 |
35 | fair mavila | 7 | 3 |
35 | fair bug | 5 | 3 |
35 | Grumpy nonatonic | 4 | 3 |
36 | Happy nonatonic | 12 | 3 |
36 | fair augmented | 8 | 2 |
36 | fair augmented | 6 | 3 |
36 | unfair augmented | 5 | 2 |
XXX | |||
41 | Happy nonatonic | 9 | 4 |
41 | Fair mavila | 10 | 3 |
41 | unfair bug | 5 | 4 |
41 | unfair mavila | 5 | 3 |