Hexatonic MOS

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

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

1L 5s antimachinoid

2L 4s malic

3L 3s triwood

4L 2s citric

5L 1s machinoid

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

n   MOS family         L  s
****************************
 7  antimachinoid     2  1
 8  antimachinoid     3  1
 8  malic      2  1
 9  antimachinoid     4  1
 9  triwood           2  1
10  malic      3  1
10  citric             2  1
11  machinoid    2  1
12  malic      4  1
12  triwood           3  1
13  antimachinoid     3  2
14  antimachinoid     4  2
14  malic      3  2
14  citric             3  1
15  antimachinoid     5  2
15  triwood           4  1
15  triwood           3  2
16  antimachinoid     6  2
16  malic      4  2
16  citric             3  2
16  machinoid    3  1
17  antimachinoid     7  2
17  machinoid    3  2
18  antimachinoid     8  2
18  malic      5  2
18  triwood           4  2
18  citric             4  1
19  antimachinoid     9  2
19  antimachinoid     4  3
20  antimachinoid     5  3
20  malic      6  2
20  malic      4  3
20  citric             4  2
21  antimachinoid     6  3
21  triwood           5  2
21  augemted            4  3
21  machinoid    4  1
22  antimachinoid     7  3
22  malic      7  2
22  malic      5  3
22  citric             4  3
22  machinoid    4  2
23  antimachinoid     8  3
23  machinoid    4  3
24  antimachinoid     9  3
24  malic      8  2
24  malic      6  2
24  triwood           6  2
24  triwood           5  3
24  citric             5  2
25  antimachinoid    10  3
25  antimachinoid     5  4
26  antimachinoid    11  3
26  antimachinoid     6  4
26  malic      9  2
26  malic      7  3
26  malic      5  4
26  citric             5  3
27  antimachinoid    12  3
27  antimachinoid     7  4
27  triwood           7  2
27  triwood           6  3
27  triwood           5  4
27  machinoid    5  2
28  antimachinoid    13  3
28  antimachinoid     8  4
28  malic      8  3
28  malic      6  4
28  citric             5  4
28  machinoid    5  3
29  antimachinoid    14  3
29  antimachinoid     9  4
29  machinoid    5  4
30  antimachinoid    10  4
30  malic      9  3
30  malic      7  4
30  triwood           8  2
30  triwood           7  3
30  triwood           6  4
30  citric             6  3
31  antimachinoid    11  4
31  antimachinoid     6  5
32  antimachinoid    12  4
32  antimachinoid     7  5
32  malic     10  3
32  malic      8  4
32  citric             6  4
32  citric             7  2
32  machinoid    6  2
33  antimachinoid    13  4
33  antimachinoid     8  5
33  triwood           9  2
33  triwood           8  3
33  triwood           7  4
33  triwood           6  5
33  machinoid    6  3
34  antimachinoid    14  4
34  antimachinoid     9  5
34  malic     11  3
34  malic      9  4
34  malic      7  5
34  citric             6  5
34  citric             7  3
34  machinoid    6  4
35  antimachinoid    15  4
35  antimachinoid    10  5
35  machinoid    6  5
36  antimachinoid    16  4
36  antimachinoid    11  5
36  malic     12  3
36  malic     10  4
36  malic      8  5
36  triwood           9  3
36  triwood           8  4
36  triwood           7  5
36  citric             7  4
36  citric             8  2
 
XXX
 
41  antimachinoid    16  5
41  antimachinoid    11  6