Pentatonic MOS

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

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

1L 4s Happy pentatonic

2L 3s classic pentatonic

3L 2s father

4L 1s bug

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

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