Revision as of 04:10, 22 September 2024

Copied from Ganaram Inukshuk's template on 22 Oct 2024, the only change was calling a slightly altered copy of the module.

Example of usage

These are all moment of symmetry scales in 12edo.
Single-period MOS scales

Generators 7\12 and 5\12
Step visualization	MOS (name)	Step sizes	Step ratio
├──────┼────┤	1L 1s	7, 5	7:5
├─┼────┼────┤	2L 1s	5, 2	5:2
├─┼─┼──┼─┼──┤	2L 3s	3, 2	3:2
├─┼─┼─┼┼─┼─┼┤	5L 2s (diatonic)	2, 1	2:1
├┼┼┼┼┼┼┼┼┼┼┼┤	12edo	1, 1	1:1

Generators 8\12 and 4\12
Step visualization	MOS (name)	Step sizes	Step ratio
├───────┼───┤	1L 1s	8, 4	2:1
├───┼───┼───┤	3edo	4, 4	1:1

Generators 9\12 and 3\12
Step visualization	MOS (name)	Step sizes	Step ratio
├────────┼──┤	1L 1s	9, 3	3:1
├─────┼──┼──┤	1L 2s	6, 3	2:1
├──┼──┼──┼──┤	4edo	3, 3	1:1

Generators 10\12 and 2\12
Step visualization	MOS (name)	Step sizes	Step ratio
├─────────┼─┤	1L 1s	10, 2	5:1
├───────┼─┼─┤	1L 2s	8, 2	4:1
├─────┼─┼─┼─┤	1L 3s	6, 2	3:1
├───┼─┼─┼─┼─┤	1L 4s	4, 2	2:1
├─┼─┼─┼─┼─┼─┤	6edo	2, 2	1:1

Generators 11\12 and 1\12
Step visualization	MOS (name)	Step sizes	Step ratio
├──────────┼┤	1L 1s	11, 1	11:1
├─────────┼┼┤	1L 2s	10, 1	10:1
├────────┼┼┼┤	1L 3s	9, 1	9:1
├───────┼┼┼┼┤	1L 4s	8, 1	8:1
├──────┼┼┼┼┼┤	1L 5s (antimachinoid)	7, 1	7:1
├─────┼┼┼┼┼┼┤	1L 6s (onyx)	6, 1	6:1
├────┼┼┼┼┼┼┼┤	1L 7s (antipine)	5, 1	5:1
├───┼┼┼┼┼┼┼┼┤	1L 8s (antisubneutralic)	4, 1	4:1
├──┼┼┼┼┼┼┼┼┼┤	1L 9s (antisinatonic)	3, 1	3:1
├─┼┼┼┼┼┼┼┼┼┼┤	1L 10s	2, 1	2:1
├┼┼┼┼┼┼┼┼┼┼┼┤	12edo	1, 1	1:1

Multi-period MOS scales
2 periods

Generators 4\12 and 2\12
Step visualization	MOS (name)	Step sizes	Step ratio
├───┼─┼───┼─┤	2L 2s	4, 2	2:1
├─┼─┼─┼─┼─┼─┤	6edo	2, 2	1:1

Generators 5\12 and 1\12
Step visualization	MOS (name)	Step sizes	Step ratio
├────┼┼────┼┤	2L 2s	5, 1	5:1
├───┼┼┼───┼┼┤	2L 4s (malic)	4, 1	4:1
├──┼┼┼┼──┼┼┼┤	2L 6s (subaric)	3, 1	3:1
├─┼┼┼┼┼─┼┼┼┼┤	2L 8s (jaric)	2, 1	2:1
├┼┼┼┼┼┼┼┼┼┼┼┤	12edo	1, 1	1:1

3 periods

Generators 3\12 and 1\12
Step visualization	MOS (name)	Step sizes	Step ratio
├──┼┼──┼┼──┼┤	3L 3s (triwood)	3, 1	3:1
├─┼┼┼─┼┼┼─┼┼┤	3L 6s (tcherepnin)	2, 1	2:1
├┼┼┼┼┼┼┼┼┼┼┼┤	12edo	1, 1	1:1

4 periods

Generators 2\12 and 1\12
Step visualization	MOS (name)	Step sizes	Step ratio
├─┼┼─┼┼─┼┼─┼┤	4L 4s (tetrawood)	2, 1	2:1
├┼┼┼┼┼┼┼┼┼┼┼┤	12edo	1, 1	1:1

These are all moment of symmetry scales in 13edo.
Single-period MOS scales

Generators 7\13 and 6\13
Step visualization	MOS (name)	Step sizes	Step ratio
├──────┼─────┤	1L 1s	7, 6	7:6
├┼─────┼─────┤	2L 1s	6, 1	6:1
├┼┼────┼┼────┤	2L 3s	5, 1	5:1
├┼┼┼───┼┼┼───┤	2L 5s (antidiatonic)	4, 1	4:1
├┼┼┼┼──┼┼┼┼──┤	2L 7s (balzano)	3, 1	3:1
├┼┼┼┼┼─┼┼┼┼┼─┤	2L 9s	2, 1	2:1
├┼┼┼┼┼┼┼┼┼┼┼┼┤	13edo	1, 1	1:1

Generators 8\13 and 5\13
Step visualization	MOS (name)	Step sizes	Step ratio
├───────┼────┤	1L 1s	8, 5	8:5
├──┼────┼────┤	2L 1s	5, 3	5:3
├──┼──┼─┼──┼─┤	3L 2s	3, 2	3:2
├┼─┼┼─┼─┼┼─┼─┤	5L 3s (oneirotonic)	2, 1	2:1
├┼┼┼┼┼┼┼┼┼┼┼┼┤	13edo	1, 1	1:1

Generators 9\13 and 4\13
Step visualization	MOS (name)	Step sizes	Step ratio
├────────┼───┤	1L 1s	9, 4	9:4
├────┼───┼───┤	1L 2s	5, 4	5:4
├┼───┼───┼───┤	3L 1s	4, 1	4:1
├┼┼──┼┼──┼┼──┤	3L 4s (mosh)	3, 1	3:1
├┼┼┼─┼┼┼─┼┼┼─┤	3L 7s (sephiroid)	2, 1	2:1
├┼┼┼┼┼┼┼┼┼┼┼┼┤	13edo	1, 1	1:1

Generators 10\13 and 3\13
Step visualization	MOS (name)	Step sizes	Step ratio
├─────────┼──┤	1L 1s	10, 3	10:3
├──────┼──┼──┤	1L 2s	7, 3	7:3
├───┼──┼──┼──┤	1L 3s	4, 3	4:3
├┼──┼──┼──┼──┤	4L 1s	3, 1	3:1
├┼┼─┼┼─┼┼─┼┼─┤	4L 5s (gramitonic)	2, 1	2:1
├┼┼┼┼┼┼┼┼┼┼┼┼┤	13edo	1, 1	1:1

Generators 11\13 and 2\13
Step visualization	MOS (name)	Step sizes	Step ratio
├──────────┼─┤	1L 1s	11, 2	11:2
├────────┼─┼─┤	1L 2s	9, 2	9:2
├──────┼─┼─┼─┤	1L 3s	7, 2	7:2
├────┼─┼─┼─┼─┤	1L 4s	5, 2	5:2
├──┼─┼─┼─┼─┼─┤	1L 5s (antimachinoid)	3, 2	3:2
├┼─┼─┼─┼─┼─┼─┤	6L 1s (archaeotonic)	2, 1	2:1
├┼┼┼┼┼┼┼┼┼┼┼┼┤	13edo	1, 1	1:1

Generators 12\13 and 1\13
Step visualization	MOS (name)	Step sizes	Step ratio
├───────────┼┤	1L 1s	12, 1	12:1
├──────────┼┼┤	1L 2s	11, 1	11:1
├─────────┼┼┼┤	1L 3s	10, 1	10:1
├────────┼┼┼┼┤	1L 4s	9, 1	9:1
├───────┼┼┼┼┼┤	1L 5s (antimachinoid)	8, 1	8:1
├──────┼┼┼┼┼┼┤	1L 6s (onyx)	7, 1	7:1
├─────┼┼┼┼┼┼┼┤	1L 7s (antipine)	6, 1	6:1
├────┼┼┼┼┼┼┼┼┤	1L 8s (antisubneutralic)	5, 1	5:1
├───┼┼┼┼┼┼┼┼┼┤	1L 9s (antisinatonic)	4, 1	4:1
├──┼┼┼┼┼┼┼┼┼┼┤	1L 10s	3, 1	3:1
├─┼┼┼┼┼┼┼┼┼┼┼┤	1L 11s	2, 1	2:1
├┼┼┼┼┼┼┼┼┼┼┼┼┤	13edo	1, 1	1:1

@@ Line 7: / Line 7: @@
 | Temperaments={{{Temperaments|}}}
 }}</includeonly><noinclude>
-Copied from Ganaram Inukshuk's template on 22 Oct 2024, the only change was changing an altered module.
+Copied from Ganaram Inukshuk's template on 22 Oct 2024, the only change was calling a slightly altered copy of the module.
 = Example of usage =