Decatonic MOS

Families of decatonic MOS scales for all n-EDO tunings until 36EDO

Names for MOS families (according to the naming scheme):

1L 9s antisinatonic

2L 8s jaric

3L 7s sephiroid

4L 6s lime

5L 5s pentawood

6L 4s lemon

7L 3s dicoid

8L 2s taric

9L 1s sinatonic

Additional constraints: L/s < 5, L/s > 7/6

n   MOS family         L  s
****************************
11  antisinatonic    2  1
12  antisinatonic    3  1
12  jaric     2  1
13  antisinatonic    4  1
13  sephiroid          2  1
14  jaric     3  1
14  lime       2  1
15  pentawood 2  1
16  jaric     4  1
16  sephiroid          3  1
16  lemon     2  1
17  dicoid        2  1
18  lime       3  1
18  taric   2  1
19  sephiroid          4  1
19  sinatonic   2  1
20  pentawood 3  1
21  antisinatonic    3  2
22  antisinatonic    4  2
22  jaric     3  2
22  lime       4  1
22  lemon     3  1
23  antisinatonic    5  2
23  sephiroid          3  2
24  antisinatonic    6  2
24  jaric     4  2
24  lime       3  2
24  dicoid        3  1
25  antisinatonic    7  2
25  pentawood 4  1
25  pentawood 3  2
26  antisinatonic    8  2
26  jaric     5  2
26  sephiroid          4  2
26  lemon     3  2
26  taric   3  1
27  antisinatonic    9  2
27  dicoid        3  2
28  jaric     6  2
28  lime       4  2
28  lemon     4  1
28  taric   3  2
28  sinatonic   3  1
29  sephiroid          5  2
29  sinatonic   3  2
30  jaric     7  2
30  pentawood 4  2
31  antisinatonic    4  3
31  dicoid        4  1
32  antisinatonic    5  3
32  jaric     8  2
32  jaric     4  3
32  sephiroid          6  2
32  lime       5  2
32  lemon     4  2
33  antisinatonic    6  3
33  sephiroid          4  3
34  antisinatonic    7  3
34  jaric     9  2
34  jaric     5  3
34  lime       4  3
34  dicoid        4  2
34  taric   4  1
35  antisinatonic    8  3
35  sephiroid          7  2
35  pentawood 5  2
35  pentawood 4  3
36  antisinatonic    9  3
36  jaric     6  3
36  sephiroid          5  3
36  lime       6  2
36  lemon     4  3
36  taric   4  2
 
XXX
 
41  antisinatonic   14  3
41  antisinatonic    5  4
41  sephiroid          9  2