List of MOS scales in 16edo

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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