This page lists all moment of symmetry scales in 18edo.
Single-period MOS scales
Generators 11\18 and 7\18
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├──────────┼──────┤
|
1L 1s
|
11, 7
|
11:7
|
| ├───┼──────┼──────┤
|
2L 1s
|
7, 4
|
7:4
|
| ├───┼───┼──┼───┼──┤
|
3L 2s
|
4, 3
|
4:3
|
| ├┼──┼┼──┼──┼┼──┼──┤
|
5L 3s (oneirotonic)
|
3, 1
|
3:1
|
| ├┼┼─┼┼┼─┼┼─┼┼┼─┼┼─┤
|
5L 8s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
18edo
|
1, 1
|
1:1
|
Generators 13\18 and 5\18
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├────────────┼────┤
|
1L 1s
|
13, 5
|
13:5
|
| ├───────┼────┼────┤
|
1L 2s
|
8, 5
|
8:5
|
| ├──┼────┼────┼────┤
|
3L 1s
|
5, 3
|
5:3
|
| ├──┼──┼─┼──┼─┼──┼─┤
|
4L 3s (smitonic)
|
3, 2
|
3:2
|
| ├┼─┼┼─┼─┼┼─┼─┼┼─┼─┤
|
7L 4s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
18edo
|
1, 1
|
1:1
|
Generators 17\18 and 1\18
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├────────────────┼┤
|
1L 1s
|
17, 1
|
17:1
|
| ├───────────────┼┼┤
|
1L 2s
|
16, 1
|
16:1
|
| ├──────────────┼┼┼┤
|
1L 3s
|
15, 1
|
15:1
|
| ├─────────────┼┼┼┼┤
|
1L 4s
|
14, 1
|
14:1
|
| ├────────────┼┼┼┼┼┤
|
1L 5s (antimachinoid)
|
13, 1
|
13:1
|
| ├───────────┼┼┼┼┼┼┤
|
1L 6s (onyx)
|
12, 1
|
12:1
|
| ├──────────┼┼┼┼┼┼┼┤
|
1L 7s (antipine)
|
11, 1
|
11:1
|
| ├─────────┼┼┼┼┼┼┼┼┤
|
1L 8s (antisubneutralic)
|
10, 1
|
10:1
|
| ├────────┼┼┼┼┼┼┼┼┼┤
|
1L 9s (antisinatonic)
|
9, 1
|
9:1
|
| ├───────┼┼┼┼┼┼┼┼┼┼┤
|
1L 10s
|
8, 1
|
8:1
|
| ├──────┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 11s
|
7, 1
|
7:1
|
| ├─────┼┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 12s
|
6, 1
|
6:1
|
| ├────┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 13s
|
5, 1
|
5:1
|
| ├───┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 14s
|
4, 1
|
4:1
|
| ├──┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 15s
|
3, 1
|
3:1
|
| ├─┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 16s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
18edo
|
1, 1
|
1:1
|
Multi-period MOS scales
2 periods
Generators 5\18 and 4\18
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├────┼───┼────┼───┤
|
2L 2s
|
5, 4
|
5:4
|
| ├┼───┼───┼┼───┼───┤
|
4L 2s (citric)
|
4, 1
|
4:1
|
| ├┼┼──┼┼──┼┼┼──┼┼──┤
|
4L 6s (lime)
|
3, 1
|
3:1
|
| ├┼┼┼─┼┼┼─┼┼┼┼─┼┼┼─┤
|
4L 10s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
18edo
|
1, 1
|
1:1
|
Generators 7\18 and 2\18
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├──────┼─┼──────┼─┤
|
2L 2s
|
7, 2
|
7:2
|
| ├────┼─┼─┼────┼─┼─┤
|
2L 4s (malic)
|
5, 2
|
5:2
|
| ├──┼─┼─┼─┼──┼─┼─┼─┤
|
2L 6s (subaric)
|
3, 2
|
3:2
|
| ├┼─┼─┼─┼─┼┼─┼─┼─┼─┤
|
8L 2s (taric)
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
18edo
|
1, 1
|
1:1
|
Generators 8\18 and 1\18
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├───────┼┼───────┼┤
|
2L 2s
|
8, 1
|
8:1
|
| ├──────┼┼┼──────┼┼┤
|
2L 4s (malic)
|
7, 1
|
7:1
|
| ├─────┼┼┼┼─────┼┼┼┤
|
2L 6s (subaric)
|
6, 1
|
6:1
|
| ├────┼┼┼┼┼────┼┼┼┼┤
|
2L 8s (jaric)
|
5, 1
|
5:1
|
| ├───┼┼┼┼┼┼───┼┼┼┼┼┤
|
2L 10s
|
4, 1
|
4:1
|
| ├──┼┼┼┼┼┼┼──┼┼┼┼┼┼┤
|
2L 12s
|
3, 1
|
3:1
|
| ├─┼┼┼┼┼┼┼┼─┼┼┼┼┼┼┼┤
|
2L 14s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
18edo
|
1, 1
|
1:1
|
3 periods
Generators 5\18 and 1\18
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├────┼┼────┼┼────┼┤
|
3L 3s (triwood)
|
5, 1
|
5:1
|
| ├───┼┼┼───┼┼┼───┼┼┤
|
3L 6s (tcherepnin)
|
4, 1
|
4:1
|
| ├──┼┼┼┼──┼┼┼┼──┼┼┼┤
|
3L 9s
|
3, 1
|
3:1
|
| ├─┼┼┼┼┼─┼┼┼┼┼─┼┼┼┼┤
|
3L 12s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
18edo
|
1, 1
|
1:1
|
6 periods
Generators 2\18 and 1\18
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├─┼┼─┼┼─┼┼─┼┼─┼┼─┼┤
|
6L 6s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
18edo
|
1, 1
|
1:1
|