Single-period MOS scales
Generators 8\15 and 7\15
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├───────┼──────┤
|
1L 1s
|
8, 7
|
8:7
|
| ├┼──────┼──────┤
|
2L 1s
|
7, 1
|
7:1
|
| ├┼┼─────┼┼─────┤
|
2L 3s
|
6, 1
|
6:1
|
| ├┼┼┼────┼┼┼────┤
|
2L 5s (antidiatonic)
|
5, 1
|
5:1
|
| ├┼┼┼┼───┼┼┼┼───┤
|
2L 7s (balzano)
|
4, 1
|
4:1
|
| ├┼┼┼┼┼──┼┼┼┼┼──┤
|
2L 9s
|
3, 1
|
3:1
|
| ├┼┼┼┼┼┼─┼┼┼┼┼┼─┤
|
2L 11s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
15edo
|
1, 1
|
1:1
|
Generators 9\15 and 6\15
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├────────┼─────┤
|
1L 1s
|
9, 6
|
3:2
|
| ├──┼─────┼─────┤
|
2L 1s
|
6, 3
|
2:1
|
| ├──┼──┼──┼──┼──┤
|
5edo
|
3, 3
|
1:1
|
Generators 10\15 and 5\15
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├─────────┼────┤
|
1L 1s
|
10, 5
|
2:1
|
| ├────┼────┼────┤
|
3edo
|
5, 5
|
1:1
|
Generators 11\15 and 4\15
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├──────────┼───┤
|
1L 1s
|
11, 4
|
11:4
|
| ├──────┼───┼───┤
|
1L 2s
|
7, 4
|
7:4
|
| ├──┼───┼───┼───┤
|
3L 1s
|
4, 3
|
4:3
|
| ├──┼──┼┼──┼┼──┼┤
|
4L 3s (smitonic)
|
3, 1
|
3:1
|
| ├─┼┼─┼┼┼─┼┼┼─┼┼┤
|
4L 7s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
15edo
|
1, 1
|
1:1
|
Generators 12\15 and 3\15
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├───────────┼──┤
|
1L 1s
|
12, 3
|
4:1
|
| ├────────┼──┼──┤
|
1L 2s
|
9, 3
|
3:1
|
| ├─────┼──┼──┼──┤
|
1L 3s
|
6, 3
|
2:1
|
| ├──┼──┼──┼──┼──┤
|
5edo
|
3, 3
|
1:1
|
Generators 13\15 and 2\15
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├────────────┼─┤
|
1L 1s
|
13, 2
|
13:2
|
| ├──────────┼─┼─┤
|
1L 2s
|
11, 2
|
11:2
|
| ├────────┼─┼─┼─┤
|
1L 3s
|
9, 2
|
9:2
|
| ├──────┼─┼─┼─┼─┤
|
1L 4s
|
7, 2
|
7:2
|
| ├────┼─┼─┼─┼─┼─┤
|
1L 5s (antimachinoid)
|
5, 2
|
5:2
|
| ├──┼─┼─┼─┼─┼─┼─┤
|
1L 6s (onyx)
|
3, 2
|
3:2
|
| ├┼─┼─┼─┼─┼─┼─┼─┤
|
7L 1s (pine)
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
15edo
|
1, 1
|
1:1
|
Generators 14\15 and 1\15
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├─────────────┼┤
|
1L 1s
|
14, 1
|
14:1
|
| ├────────────┼┼┤
|
1L 2s
|
13, 1
|
13:1
|
| ├───────────┼┼┼┤
|
1L 3s
|
12, 1
|
12:1
|
| ├──────────┼┼┼┼┤
|
1L 4s
|
11, 1
|
11:1
|
| ├─────────┼┼┼┼┼┤
|
1L 5s (antimachinoid)
|
10, 1
|
10:1
|
| ├────────┼┼┼┼┼┼┤
|
1L 6s (onyx)
|
9, 1
|
9:1
|
| ├───────┼┼┼┼┼┼┼┤
|
1L 7s (antipine)
|
8, 1
|
8:1
|
| ├──────┼┼┼┼┼┼┼┼┤
|
1L 8s (antisubneutralic)
|
7, 1
|
7:1
|
| ├─────┼┼┼┼┼┼┼┼┼┤
|
1L 9s (antisinatonic)
|
6, 1
|
6:1
|
| ├────┼┼┼┼┼┼┼┼┼┼┤
|
1L 10s
|
5, 1
|
5:1
|
| ├───┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 11s
|
4, 1
|
4:1
|
| ├──┼┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 12s
|
3, 1
|
3:1
|
| ├─┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 13s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
15edo
|
1, 1
|
1:1
|
Multi-period MOS scales
3 periods
Generators 3\15 and 2\15
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├──┼─┼──┼─┼──┼─┤
|
3L 3s (triwood)
|
3, 2
|
3:2
|
| ├┼─┼─┼┼─┼─┼┼─┼─┤
|
6L 3s (hyrulic)
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
15edo
|
1, 1
|
1:1
|
Generators 4\15 and 1\15
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├───┼┼───┼┼───┼┤
|
3L 3s (triwood)
|
4, 1
|
4:1
|
| ├──┼┼┼──┼┼┼──┼┼┤
|
3L 6s (tcherepnin)
|
3, 1
|
3:1
|
| ├─┼┼┼┼─┼┼┼┼─┼┼┼┤
|
3L 9s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
15edo
|
1, 1
|
1:1
|
5 periods
Generators 2\15 and 1\15
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├─┼┼─┼┼─┼┼─┼┼─┼┤
|
5L 5s (pentawood)
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
15edo
|
1, 1
|
1:1
|