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 Happy octatonic

2L 6s Rice octatonic

3L 5s fair father

4L 4s diminished

5L 3s unfair father

6L 2s Biggie octatonic

7L 1s Grumpy octatonic

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

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