List of MOS scales in 17edo

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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

Gallery

17edo_horograms.jpg

17edo horograms.pdf

generator temperament
2\17 Bleu
3\17 Machine
4\17 Huxley/Subklei
5\17 Neutrominant/Hemif
6\17 Skwares
7\17 Supra
8\17 Progress

See also