5\11 generates
joan scales 5 5 1; 1 4 1 4 1, a
2L 3s scale; 1 1 3 1 1 3 1, a
2L 5s scale; and 1 1 1 2 1 1 1 2 1, a
2L 7s scale.
4\11 generates 4 4 3; 1 3 1 3 3, a
3L 2s scale; and 1 1 2 1 1 2 1 2, a
3L 5s scale.
3\11 generates 3 3 3 2; and 1 2 1 2 1 2 2, a
4L 3s scale named
orgone[7].
2\11 generates 2 2 2 2 3, a
1L 4s scale named machine[5]; and 2 2 2 2 2 1, a
5L 1s scale named
machine[6].
This page lists all moment of symmetry scales in 11edo.
Single-period MOS scales
Generators 6\11 and 5\11
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├─────┼────┤
|
1L 1s
|
6, 5
|
6:5
|
| ├┼────┼────┤
|
2L 1s
|
5, 1
|
5:1
|
| ├┼┼───┼┼───┤
|
2L 3s
|
4, 1
|
4:1
|
| ├┼┼┼──┼┼┼──┤
|
2L 5s (antidiatonic)
|
3, 1
|
3:1
|
| ├┼┼┼┼─┼┼┼┼─┤
|
2L 7s (balzano)
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┤
|
11edo
|
1, 1
|
1:1
|
Generators 7\11 and 4\11
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├──────┼───┤
|
1L 1s
|
7, 4
|
7:4
|
| ├──┼───┼───┤
|
2L 1s
|
4, 3
|
4:3
|
| ├──┼──┼┼──┼┤
|
3L 2s
|
3, 1
|
3:1
|
| ├─┼┼─┼┼┼─┼┼┤
|
3L 5s (checkertonic)
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┤
|
11edo
|
1, 1
|
1:1
|
Generators 8\11 and 3\11
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├───────┼──┤
|
1L 1s
|
8, 3
|
8:3
|
| ├────┼──┼──┤
|
1L 2s
|
5, 3
|
5:3
|
| ├─┼──┼──┼──┤
|
3L 1s
|
3, 2
|
3:2
|
| ├─┼─┼┼─┼┼─┼┤
|
4L 3s (smitonic)
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┤
|
11edo
|
1, 1
|
1:1
|
Generators 9\11 and 2\11
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├────────┼─┤
|
1L 1s
|
9, 2
|
9:2
|
| ├──────┼─┼─┤
|
1L 2s
|
7, 2
|
7:2
|
| ├────┼─┼─┼─┤
|
1L 3s
|
5, 2
|
5:2
|
| ├──┼─┼─┼─┼─┤
|
1L 4s
|
3, 2
|
3:2
|
| ├┼─┼─┼─┼─┼─┤
|
5L 1s (machinoid)
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┤
|
11edo
|
1, 1
|
1:1
|
Generators 10\11 and 1\11
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├─────────┼┤
|
1L 1s
|
10, 1
|
10:1
|
| ├────────┼┼┤
|
1L 2s
|
9, 1
|
9:1
|
| ├───────┼┼┼┤
|
1L 3s
|
8, 1
|
8:1
|
| ├──────┼┼┼┼┤
|
1L 4s
|
7, 1
|
7:1
|
| ├─────┼┼┼┼┼┤
|
1L 5s (antimachinoid)
|
6, 1
|
6:1
|
| ├────┼┼┼┼┼┼┤
|
1L 6s (onyx)
|
5, 1
|
5:1
|
| ├───┼┼┼┼┼┼┼┤
|
1L 7s (antipine)
|
4, 1
|
4:1
|
| ├──┼┼┼┼┼┼┼┼┤
|
1L 8s (antisubneutralic)
|
3, 1
|
3:1
|
| ├─┼┼┼┼┼┼┼┼┼┤
|
1L 9s (antisinatonic)
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┤
|
11edo
|
1, 1
|
1:1
|
See also
