Heptatonic MOS

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

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

1L 6s onyx

2L 5s antidiatonic

3L 4s mosh

4L 3s smitonic

5L 2s diatonic

6L 1s archaeotonic

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

n   MOS family         L  s
****************************
 8  onyx   2  1
 9  onyx   3  1
 9  antidiatonic             2  1
10  onyx   4  1
10  mosh               2  1
11  antidiatonic             3  1
11  smitonic               2  1
12  diatonic           2  1
13  antidiatonic             4  1
13  mosh               3  1
13  archaeotonic  2  1
15  onyx   3  2
15  smitonic               3  1
16  onyx   4  2
16  antidiatonic             3  2
16  mosh               4  1
17  onyx   5  2
17  mosh               3  2
17  diatonic           3  1
18  onyx   6  2
18  antidiatonic             4  2
18  smitonic               3  2
19  onyx   7  2
19  smitonic               4  1
19  diatonic           3  2
19  archaeotonic  3  1
20  onyx   8  2
20  antidiatonic             5  2
20  mosh               4  2
20  archaeotonic  3  2
21  onyx   9  2
22  onyx   4  3
22  antidiatonic             6  2
22  smitonic               4  2
22  diatonic           4  1
23  onyx   5  3
23  antidiatonic             4  3
23  mosh               5  2
24  onyx   6  3
24  antidiatonic             7  2
24  mosh               4  3
24  diatonic           4  2
25  onyx   7  3
25  antidiatonic             5  3
25  smitonic               4  3
25  archaeotonic  4  1
26  onyx   8  3
26  antidiatonic             8  2
26  mosh               6  2
26  smitonic               5  2
26  diatonic           4  3
26  archaeotonic  4  2
27  onyx   9  3
27  antidiatonic             6  3
27  mosh               5  3
27  archaeotonic  4  3
28  onyx  10  3
28  antidiatonic             9  2
29  onyx  11  3
29  onyx   5  4
29  antidiatonic             7  3
29  mosh               7  2
29  smitonic               5  3
29  diatonic           5  2
30  onyx  12  3
30  onyx   6  4
30  antidiatonic             5  4
30  mosh               6  3
30  smitonic               6  2
31  onyx  13  3
31  onyx   7  4
31  antidiatonic             8  3
31  mosh               5  4
31  diatonic           5  3
31  archaeotonic  5  1
32  onyx  14  3
32  onyx   8  4
32  antidiatonic             6  4
32  mosh               8  2
32  smitonic               5  4
32  archaeotonic  5  2
33  onyx   9  4
33  antidiatonic             9  3
33  mosh               7  3
33  smitonic               6  3
33  diatonic           5  4
33  archaeotonic  5  3
34  onyx  10  4
34  antidiatonic             7  4
34  mosh               6  4
34  smitonic               7  2
34  diatonic           6  2
34  archaeotonic  5  4
35  onyx  11  4
35  antidiatonic            10  3
35  mosh               9  2
36  onyx  12  4
36  onyx   6  5
36  antidiatonic             8  4
36  mosh               8  3
36  smitonic               6  4
36  diatonic           6  3
 
XXX
 
41  onyx  17  4
41  onyx  11  5
41  antidiatonic             8  5
41  antidiatonic            13  3
41  mosh               7  5
41  smitonic               8  3
41  diatonic           7  3
41  archaeotonic  6  5