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 Happy heptatonic

2L 5s mavila, anti-diatonic

3L 4s mosh

4L 3s mish

5L 2s diatonic

6L 1s Grumpy heptatonic

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

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