Since 17 is a prime number, any interval can be repeatedly stacked to produce new intervals until all 17 tones are included. This page lists and visualizes the scales produced this way.
Diagram of mosses of 17edo
The following diagram is a visualization of some of the mosses available in 17edo. See moment of symmetry scales for background on this type of linear scale, and see horogram for background on this type of diagram.
17edo horograms.pdf
See also: 17edo neutral scale
This page lists all moment of symmetry scales in 17edo.
Single-period MOS scales
Generators 9\17 and 8\17
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├────────┼───────┤
|
1L 1s
|
9, 8
|
9:8
|
| ├┼───────┼───────┤
|
2L 1s
|
8, 1
|
8:1
|
| ├┼┼──────┼┼──────┤
|
2L 3s
|
7, 1
|
7:1
|
| ├┼┼┼─────┼┼┼─────┤
|
2L 5s (antidiatonic)
|
6, 1
|
6:1
|
| ├┼┼┼┼────┼┼┼┼────┤
|
2L 7s (balzano)
|
5, 1
|
5:1
|
| ├┼┼┼┼┼───┼┼┼┼┼───┤
|
2L 9s
|
4, 1
|
4:1
|
| ├┼┼┼┼┼┼──┼┼┼┼┼┼──┤
|
2L 11s
|
3, 1
|
3:1
|
| ├┼┼┼┼┼┼┼─┼┼┼┼┼┼┼─┤
|
2L 13s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
17edo
|
1, 1
|
1:1
|
Generators 10\17 and 7\17
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├─────────┼──────┤
|
1L 1s
|
10, 7
|
10:7
|
| ├──┼──────┼──────┤
|
2L 1s
|
7, 3
|
7:3
|
| ├──┼──┼───┼──┼───┤
|
2L 3s
|
4, 3
|
4:3
|
| ├──┼──┼──┼┼──┼──┼┤
|
5L 2s (diatonic)
|
3, 1
|
3:1
|
| ├─┼┼─┼┼─┼┼┼─┼┼─┼┼┤
|
5L 7s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
17edo
|
1, 1
|
1:1
|
Generators 11\17 and 6\17
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├──────────┼─────┤
|
1L 1s
|
11, 6
|
11:6
|
| ├────┼─────┼─────┤
|
2L 1s
|
6, 5
|
6:5
|
| ├────┼────┼┼────┼┤
|
3L 2s
|
5, 1
|
5:1
|
| ├───┼┼───┼┼┼───┼┼┤
|
3L 5s (checkertonic)
|
4, 1
|
4:1
|
| ├──┼┼┼──┼┼┼┼──┼┼┼┤
|
3L 8s
|
3, 1
|
3:1
|
| ├─┼┼┼┼─┼┼┼┼┼─┼┼┼┼┤
|
3L 11s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
17edo
|
1, 1
|
1:1
|
Generators 12\17 and 5\17
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├───────────┼────┤
|
1L 1s
|
12, 5
|
12:5
|
| ├──────┼────┼────┤
|
1L 2s
|
7, 5
|
7:5
|
| ├─┼────┼────┼────┤
|
3L 1s
|
5, 2
|
5:2
|
| ├─┼─┼──┼─┼──┼─┼──┤
|
3L 4s (mosh)
|
3, 2
|
3:2
|
| ├─┼─┼─┼┼─┼─┼┼─┼─┼┤
|
7L 3s (dicoid)
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
17edo
|
1, 1
|
1:1
|
Generators 13\17 and 4\17
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├────────────┼───┤
|
1L 1s
|
13, 4
|
13:4
|
| ├────────┼───┼───┤
|
1L 2s
|
9, 4
|
9:4
|
| ├────┼───┼───┼───┤
|
1L 3s
|
5, 4
|
5:4
|
| ├┼───┼───┼───┼───┤
|
4L 1s
|
4, 1
|
4:1
|
| ├┼┼──┼┼──┼┼──┼┼──┤
|
4L 5s (gramitonic)
|
3, 1
|
3:1
|
| ├┼┼┼─┼┼┼─┼┼┼─┼┼┼─┤
|
4L 9s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
17edo
|
1, 1
|
1:1
|
Generators 14\17 and 3\17
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├─────────────┼──┤
|
1L 1s
|
14, 3
|
14:3
|
| ├──────────┼──┼──┤
|
1L 2s
|
11, 3
|
11:3
|
| ├───────┼──┼──┼──┤
|
1L 3s
|
8, 3
|
8:3
|
| ├────┼──┼──┼──┼──┤
|
1L 4s
|
5, 3
|
5:3
|
| ├─┼──┼──┼──┼──┼──┤
|
5L 1s (machinoid)
|
3, 2
|
3:2
|
| ├─┼─┼┼─┼┼─┼┼─┼┼─┼┤
|
6L 5s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
17edo
|
1, 1
|
1:1
|
Generators 15\17 and 2\17
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├──────────────┼─┤
|
1L 1s
|
15, 2
|
15:2
|
| ├────────────┼─┼─┤
|
1L 2s
|
13, 2
|
13:2
|
| ├──────────┼─┼─┼─┤
|
1L 3s
|
11, 2
|
11:2
|
| ├────────┼─┼─┼─┼─┤
|
1L 4s
|
9, 2
|
9:2
|
| ├──────┼─┼─┼─┼─┼─┤
|
1L 5s (antimachinoid)
|
7, 2
|
7:2
|
| ├────┼─┼─┼─┼─┼─┼─┤
|
1L 6s (onyx)
|
5, 2
|
5:2
|
| ├──┼─┼─┼─┼─┼─┼─┼─┤
|
1L 7s (antipine)
|
3, 2
|
3:2
|
| ├┼─┼─┼─┼─┼─┼─┼─┼─┤
|
8L 1s (subneutralic)
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
17edo
|
1, 1
|
1:1
|
Generators 16\17 and 1\17
| Step visualization
|
MOS (name)
|
Step sizes
|
Step ratio
|
| ├───────────────┼┤
|
1L 1s
|
16, 1
|
16:1
|
| ├──────────────┼┼┤
|
1L 2s
|
15, 1
|
15:1
|
| ├─────────────┼┼┼┤
|
1L 3s
|
14, 1
|
14:1
|
| ├────────────┼┼┼┼┤
|
1L 4s
|
13, 1
|
13:1
|
| ├───────────┼┼┼┼┼┤
|
1L 5s (antimachinoid)
|
12, 1
|
12:1
|
| ├──────────┼┼┼┼┼┼┤
|
1L 6s (onyx)
|
11, 1
|
11:1
|
| ├─────────┼┼┼┼┼┼┼┤
|
1L 7s (antipine)
|
10, 1
|
10:1
|
| ├────────┼┼┼┼┼┼┼┼┤
|
1L 8s (antisubneutralic)
|
9, 1
|
9:1
|
| ├───────┼┼┼┼┼┼┼┼┼┤
|
1L 9s (antisinatonic)
|
8, 1
|
8:1
|
| ├──────┼┼┼┼┼┼┼┼┼┼┤
|
1L 10s
|
7, 1
|
7:1
|
| ├─────┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 11s
|
6, 1
|
6:1
|
| ├────┼┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 12s
|
5, 1
|
5:1
|
| ├───┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 13s
|
4, 1
|
4:1
|
| ├──┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 14s
|
3, 1
|
3:1
|
| ├─┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
1L 15s
|
2, 1
|
2:1
|
| ├┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┼┤
|
17edo
|
1, 1
|
1:1
|
