Copied from Ganaram Inukshuk's template on 22 Oct 2024, the only change was changing an altered module.
Test usage:
12edo
This page lists all moment of symmetry scales in 12edo.
Single-period MOS scales
Generators 7\12 and 5\12
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├──────┼────┤
|
1L 1s
|
7, 5
|
7:5
|
| ├─┼────┼────┤
|
2L 1s
|
5, 2
|
5:2
|
| ├─┼─┼──┼─┼──┤
|
2L 3s
|
3, 2
|
3:2
|
| ├─┼─┼─┼┼─┼─┼┤
|
5L 2s (diatonic)
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┤
|
12edo
|
1, 1
|
1:1
|
Generators 8\12 and 4\12
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├───────┼───┤
|
1L 1s
|
8, 4
|
2:1
|
| ├───┼───┼───┤
|
3edo
|
4, 4
|
1:1
|
Generators 9\12 and 3\12
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├────────┼──┤
|
1L 1s
|
9, 3
|
3:1
|
| ├─────┼──┼──┤
|
1L 2s
|
6, 3
|
2:1
|
| ├──┼──┼──┼──┤
|
4edo
|
3, 3
|
1:1
|
Generators 10\12 and 2\12
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├─────────┼─┤
|
1L 1s
|
10, 2
|
5:1
|
| ├───────┼─┼─┤
|
1L 2s
|
8, 2
|
4:1
|
| ├─────┼─┼─┼─┤
|
1L 3s
|
6, 2
|
3:1
|
| ├───┼─┼─┼─┼─┤
|
1L 4s
|
4, 2
|
2:1
|
| ├─┼─┼─┼─┼─┼─┤
|
6edo
|
2, 2
|
1:1
|
Generators 11\12 and 1\12
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├──────────┼┤
|
1L 1s
|
11, 1
|
11:1
|
| ├─────────┼┼┤
|
1L 2s
|
10, 1
|
10:1
|
| ├────────┼┼┼┤
|
1L 3s
|
9, 1
|
9:1
|
| ├───────┼┼┼┼┤
|
1L 4s
|
8, 1
|
8:1
|
| ├──────┼┼┼┼┼┤
|
1L 5s (antimachinoid)
|
7, 1
|
7:1
|
| ├─────┼┼┼┼┼┼┤
|
1L 6s (onyx)
|
6, 1
|
6:1
|
| ├────┼┼┼┼┼┼┼┤
|
1L 7s (antipine)
|
5, 1
|
5:1
|
| ├───┼┼┼┼┼┼┼┼┤
|
1L 8s (antisubneutralic)
|
4, 1
|
4:1
|
| ├──┼┼┼┼┼┼┼┼┼┤
|
1L 9s (antisinatonic)
|
3, 1
|
3:1
|
| ├─┼┼┼┼┼┼┼┼┼┼┤
|
1L 10s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┤
|
12edo
|
1, 1
|
1:1
|
Multi-period MOS scales
2 periods
Generators 4\12 and 2\12
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├───┼─┼───┼─┤
|
2L 2s
|
4, 2
|
2:1
|
| ├─┼─┼─┼─┼─┼─┤
|
6edo
|
2, 2
|
1:1
|
Generators 5\12 and 1\12
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├────┼┼────┼┤
|
2L 2s
|
5, 1
|
5:1
|
| ├───┼┼┼───┼┼┤
|
2L 4s (malic)
|
4, 1
|
4:1
|
| ├──┼┼┼┼──┼┼┼┤
|
2L 6s (subaric)
|
3, 1
|
3:1
|
| ├─┼┼┼┼┼─┼┼┼┼┤
|
2L 8s (jaric)
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┤
|
12edo
|
1, 1
|
1:1
|
3 periods
Generators 3\12 and 1\12
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├──┼┼──┼┼──┼┤
|
3L 3s (triwood)
|
3, 1
|
3:1
|
| ├─┼┼┼─┼┼┼─┼┼┤
|
3L 6s (tcherepnin)
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┤
|
12edo
|
1, 1
|
1:1
|
4 periods
Generators 2\12 and 1\12
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├─┼┼─┼┼─┼┼─┼┤
|
4L 4s (tetrawood)
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┤
|
12edo
|
1, 1
|
1:1
|
13edo
This page lists all moment of symmetry scales in 13edo.
Single-period MOS scales
Generators 7\13 and 6\13
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├──────┼─────┤
|
1L 1s
|
7, 6
|
7:6
|
| ├┼─────┼─────┤
|
2L 1s
|
6, 1
|
6:1
|
| ├┼┼────┼┼────┤
|
2L 3s
|
5, 1
|
5:1
|
| ├┼┼┼───┼┼┼───┤
|
2L 5s (antidiatonic)
|
4, 1
|
4:1
|
| ├┼┼┼┼──┼┼┼┼──┤
|
2L 7s (balzano)
|
3, 1
|
3:1
|
| ├┼┼┼┼┼─┼┼┼┼┼─┤
|
2L 9s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┤
|
13edo
|
1, 1
|
1:1
|
Generators 8\13 and 5\13
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├───────┼────┤
|
1L 1s
|
8, 5
|
8:5
|
| ├──┼────┼────┤
|
2L 1s
|
5, 3
|
5:3
|
| ├──┼──┼─┼──┼─┤
|
3L 2s
|
3, 2
|
3:2
|
| ├┼─┼┼─┼─┼┼─┼─┤
|
5L 3s (oneirotonic)
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┤
|
13edo
|
1, 1
|
1:1
|
Generators 9\13 and 4\13
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├────────┼───┤
|
1L 1s
|
9, 4
|
9:4
|
| ├────┼───┼───┤
|
1L 2s
|
5, 4
|
5:4
|
| ├┼───┼───┼───┤
|
3L 1s
|
4, 1
|
4:1
|
| ├┼┼──┼┼──┼┼──┤
|
3L 4s (mosh)
|
3, 1
|
3:1
|
| ├┼┼┼─┼┼┼─┼┼┼─┤
|
3L 7s (sephiroid)
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┤
|
13edo
|
1, 1
|
1:1
|
Generators 10\13 and 3\13
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├─────────┼──┤
|
1L 1s
|
10, 3
|
10:3
|
| ├──────┼──┼──┤
|
1L 2s
|
7, 3
|
7:3
|
| ├───┼──┼──┼──┤
|
1L 3s
|
4, 3
|
4:3
|
| ├┼──┼──┼──┼──┤
|
4L 1s
|
3, 1
|
3:1
|
| ├┼┼─┼┼─┼┼─┼┼─┤
|
4L 5s (gramitonic)
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┤
|
13edo
|
1, 1
|
1:1
|
Generators 11\13 and 2\13
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├──────────┼─┤
|
1L 1s
|
11, 2
|
11:2
|
| ├────────┼─┼─┤
|
1L 2s
|
9, 2
|
9:2
|
| ├──────┼─┼─┼─┤
|
1L 3s
|
7, 2
|
7:2
|
| ├────┼─┼─┼─┼─┤
|
1L 4s
|
5, 2
|
5:2
|
| ├──┼─┼─┼─┼─┼─┤
|
1L 5s (antimachinoid)
|
3, 2
|
3:2
|
| ├┼─┼─┼─┼─┼─┼─┤
|
6L 1s (archaeotonic)
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┤
|
13edo
|
1, 1
|
1:1
|
Generators 12\13 and 1\13
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├───────────┼┤
|
1L 1s
|
12, 1
|
12:1
|
| ├──────────┼┼┤
|
1L 2s
|
11, 1
|
11:1
|
| ├─────────┼┼┼┤
|
1L 3s
|
10, 1
|
10:1
|
| ├────────┼┼┼┼┤
|
1L 4s
|
9, 1
|
9:1
|
| ├───────┼┼┼┼┼┤
|
1L 5s (antimachinoid)
|
8, 1
|
8:1
|
| ├──────┼┼┼┼┼┼┤
|
1L 6s (onyx)
|
7, 1
|
7:1
|
| ├─────┼┼┼┼┼┼┼┤
|
1L 7s (antipine)
|
6, 1
|
6:1
|
| ├────┼┼┼┼┼┼┼┼┤
|
1L 8s (antisubneutralic)
|
5, 1
|
5:1
|
| ├───┼┼┼┼┼┼┼┼┼┤
|
1L 9s (antisinatonic)
|
4, 1
|
4:1
|
| ├──┼┼┼┼┼┼┼┼┼┼┤
|
1L 10s
|
3, 1
|
3:1
|
| ├─┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 11s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┤
|
13edo
|
1, 1
|
1:1
|