This page lists all moment of symmetry scales in 19edo.
Single-period MOS scales
Generators 10\19 and 9\19
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├─────────┼────────┤
|
1L 1s
|
10, 9
|
10:9
|
| ├┼────────┼────────┤
|
2L 1s
|
9, 1
|
9:1
|
| ├┼┼───────┼┼───────┤
|
2L 3s
|
8, 1
|
8:1
|
| ├┼┼┼──────┼┼┼──────┤
|
2L 5s (antidiatonic)
|
7, 1
|
7:1
|
| ├┼┼┼┼─────┼┼┼┼─────┤
|
2L 7s (balzano)
|
6, 1
|
6:1
|
| ├┼┼┼┼┼────┼┼┼┼┼────┤
|
2L 9s
|
5, 1
|
5:1
|
| ├┼┼┼┼┼┼───┼┼┼┼┼┼───┤
|
2L 11s
|
4, 1
|
4:1
|
| ├┼┼┼┼┼┼┼──┼┼┼┼┼┼┼──┤
|
2L 13s
|
3, 1
|
3:1
|
| ├┼┼┼┼┼┼┼┼─┼┼┼┼┼┼┼┼─┤
|
2L 15s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
19edo
|
1, 1
|
1:1
|
Generators 11\19 and 8\19
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├──────────┼───────┤
|
1L 1s
|
11, 8
|
11:8
|
| ├──┼───────┼───────┤
|
2L 1s
|
8, 3
|
8:3
|
| ├──┼──┼────┼──┼────┤
|
2L 3s
|
5, 3
|
5:3
|
| ├──┼──┼──┼─┼──┼──┼─┤
|
5L 2s (diatonic)
|
3, 2
|
3:2
|
| ├┼─┼┼─┼┼─┼─┼┼─┼┼─┼─┤
|
7L 5s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
19edo
|
1, 1
|
1:1
|
Generators 12\19 and 7\19
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├───────────┼──────┤
|
1L 1s
|
12, 7
|
12:7
|
| ├────┼──────┼──────┤
|
2L 1s
|
7, 5
|
7:5
|
| ├────┼────┼─┼────┼─┤
|
3L 2s
|
5, 2
|
5:2
|
| ├──┼─┼──┼─┼─┼──┼─┼─┤
|
3L 5s (checkertonic)
|
3, 2
|
3:2
|
| ├┼─┼─┼┼─┼─┼─┼┼─┼─┼─┤
|
8L 3s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
19edo
|
1, 1
|
1:1
|
Generators 13\19 and 6\19
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├────────────┼─────┤
|
1L 1s
|
13, 6
|
13:6
|
| ├──────┼─────┼─────┤
|
1L 2s
|
7, 6
|
7:6
|
| ├┼─────┼─────┼─────┤
|
3L 1s
|
6, 1
|
6:1
|
| ├┼┼────┼┼────┼┼────┤
|
3L 4s (mosh)
|
5, 1
|
5:1
|
| ├┼┼┼───┼┼┼───┼┼┼───┤
|
3L 7s (sephiroid)
|
4, 1
|
4:1
|
| ├┼┼┼┼──┼┼┼┼──┼┼┼┼──┤
|
3L 10s
|
3, 1
|
3:1
|
| ├┼┼┼┼┼─┼┼┼┼┼─┼┼┼┼┼─┤
|
3L 13s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
19edo
|
1, 1
|
1:1
|
Generators 14\19 and 5\19
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├─────────────┼────┤
|
1L 1s
|
14, 5
|
14:5
|
| ├────────┼────┼────┤
|
1L 2s
|
9, 5
|
9:5
|
| ├───┼────┼────┼────┤
|
3L 1s
|
5, 4
|
5:4
|
| ├───┼───┼┼───┼┼───┼┤
|
4L 3s (smitonic)
|
4, 1
|
4:1
|
| ├──┼┼──┼┼┼──┼┼┼──┼┼┤
|
4L 7s
|
3, 1
|
3:1
|
| ├─┼┼┼─┼┼┼┼─┼┼┼┼─┼┼┼┤
|
4L 11s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
19edo
|
1, 1
|
1:1
|
Generators 15\19 and 4\19
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├──────────────┼───┤
|
1L 1s
|
15, 4
|
15:4
|
| ├──────────┼───┼───┤
|
1L 2s
|
11, 4
|
11:4
|
| ├──────┼───┼───┼───┤
|
1L 3s
|
7, 4
|
7:4
|
| ├──┼───┼───┼───┼───┤
|
4L 1s
|
4, 3
|
4:3
|
| ├──┼──┼┼──┼┼──┼┼──┼┤
|
5L 4s (semiquartal)
|
3, 1
|
3:1
|
| ├─┼┼─┼┼┼─┼┼┼─┼┼┼─┼┼┤
|
5L 9s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
19edo
|
1, 1
|
1:1
|
Generators 16\19 and 3\19
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├───────────────┼──┤
|
1L 1s
|
16, 3
|
16:3
|
| ├────────────┼──┼──┤
|
1L 2s
|
13, 3
|
13:3
|
| ├─────────┼──┼──┼──┤
|
1L 3s
|
10, 3
|
10:3
|
| ├──────┼──┼──┼──┼──┤
|
1L 4s
|
7, 3
|
7:3
|
| ├───┼──┼──┼──┼──┼──┤
|
1L 5s (antimachinoid)
|
4, 3
|
4:3
|
| ├┼──┼──┼──┼──┼──┼──┤
|
6L 1s (archaeotonic)
|
3, 1
|
3:1
|
| ├┼┼─┼┼─┼┼─┼┼─┼┼─┼┼─┤
|
6L 7s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
19edo
|
1, 1
|
1:1
|
Generators 17\19 and 2\19
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├────────────────┼─┤
|
1L 1s
|
17, 2
|
17:2
|
| ├──────────────┼─┼─┤
|
1L 2s
|
15, 2
|
15:2
|
| ├────────────┼─┼─┼─┤
|
1L 3s
|
13, 2
|
13:2
|
| ├──────────┼─┼─┼─┼─┤
|
1L 4s
|
11, 2
|
11:2
|
| ├────────┼─┼─┼─┼─┼─┤
|
1L 5s (antimachinoid)
|
9, 2
|
9:2
|
| ├──────┼─┼─┼─┼─┼─┼─┤
|
1L 6s (onyx)
|
7, 2
|
7:2
|
| ├────┼─┼─┼─┼─┼─┼─┼─┤
|
1L 7s (antipine)
|
5, 2
|
5:2
|
| ├──┼─┼─┼─┼─┼─┼─┼─┼─┤
|
1L 8s (antisubneutralic)
|
3, 2
|
3:2
|
| ├┼─┼─┼─┼─┼─┼─┼─┼─┼─┤
|
9L 1s (sinatonic)
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
19edo
|
1, 1
|
1:1
|
Generators 18\19 and 1\19
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├─────────────────┼┤
|
1L 1s
|
18, 1
|
18:1
|
| ├────────────────┼┼┤
|
1L 2s
|
17, 1
|
17:1
|
| ├───────────────┼┼┼┤
|
1L 3s
|
16, 1
|
16:1
|
| ├──────────────┼┼┼┼┤
|
1L 4s
|
15, 1
|
15:1
|
| ├─────────────┼┼┼┼┼┤
|
1L 5s (antimachinoid)
|
14, 1
|
14:1
|
| ├────────────┼┼┼┼┼┼┤
|
1L 6s (onyx)
|
13, 1
|
13:1
|
| ├───────────┼┼┼┼┼┼┼┤
|
1L 7s (antipine)
|
12, 1
|
12:1
|
| ├──────────┼┼┼┼┼┼┼┼┤
|
1L 8s (antisubneutralic)
|
11, 1
|
11:1
|
| ├─────────┼┼┼┼┼┼┼┼┼┤
|
1L 9s (antisinatonic)
|
10, 1
|
10:1
|
| ├────────┼┼┼┼┼┼┼┼┼┼┤
|
1L 10s
|
9, 1
|
9:1
|
| ├───────┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 11s
|
8, 1
|
8:1
|
| ├──────┼┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 12s
|
7, 1
|
7:1
|
| ├─────┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 13s
|
6, 1
|
6:1
|
| ├────┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 14s
|
5, 1
|
5:1
|
| ├───┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 15s
|
4, 1
|
4:1
|
| ├──┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 16s
|
3, 1
|
3:1
|
| ├─┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 17s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
19edo
|
1, 1
|
1:1
|