Octatonic MOS

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

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

1L 7s antipine

2L 6s subaric

3L 5s checkertonic

4L 4s tetrawood

5L 3s oneirotonic

6L 2s ekic

7L 1s pine

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

n   MOS family         L  s
****************************
 9  antipine    2  1
10  antipine    3  1
10  subaric     2  1
11  antipine    4  1
11  checkertonic        2  1
12  subaric     3  1
12  tetrawood         2  1
13  oneirotonic      2  1
14  subaric     4  1
14  checkertonic        3  1
14  ekic   2  1
15  pine   2  1
16  tetrawood         3  1
17  antipine    3  2
17  checkertonic        4  1
18  antipine    4  2
18  subaric     3  2
18  oneirotonic      3  1
19  antipine    5  2
19  checkertonic        3  2
20  antipine    6  2
20  subaric     4  2
20  tetrawood         4  1
20  tetrawood         3  2
20  ekic   3  1
21  antipine    7  2
21  oneirotonic      3  2
22  antipine    8  2
22  subaric     5  2
22  checkertonic        4  2
22  ekic   3  2
22  pine   3  1
23  antipine    9  2
23  oneirotonic      4  1
23  pine   3  2
24  checkertonic        6  2
24  tetrawood         4  2
25  antipine    4  3
25  checkertonic        5  2
26  antipine    5  3
26  subaric     7  2
26  subaric     4  3
26  oneirotonic      4  2
26  ekic   4  1
27  antipine    6  3
27  checkertonic        4  3
28  antipine    7  3
28  subaric     8  2
28  subaric     5  3
28  checkertonic        6  2
28  tetrawood         5  2
28  tetrawood         4  3
28  ekic   4  2
29  antipine    8  3
29  oneirotonic      4  3
29  pine   4  1
30  antipine    9  3
30  subaric     9  2
30  subaric     6  3
30  checkertonic        5  3
30  ekic   4  3
30  pine   4  2
31  antipine   10  3
31  checkertonic        7  2
31  oneirotonic      5  2
31  pine   4  3
32  antipine   11  3
32  subaric     7  3
32  tetrawood         6  2
32  tetrawood         5  3
33  antipine   12  3
33  antipine    5  4
33  checkertonic        6  3
34  antipine   13  3
34  antipine    6  4
34  subaric     8  3
34  subaric     5  4
34  checkertonic        8  2
34  oneirotonic      5  3
34  ekic   5  2
35  antipine   14  3
35  antipine    7  4
35  checkertonic        5  4
36  antipine    8  4
36  subaric     9  3
36  subaric     6  4
36  checkertonic        7  3
36  tetrawood         7  2
36  tetrawood         6  3
36  tetrawood         5  4
36  oneirotonic      6  2
36  ekic   5  3
 
XXX
 
41  antipine   13  4
41  antipine    6  5
41  checkertonic        7  3
41  oneirotonic      7  2