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