List of MOS scales in 17edo: Difference between revisions

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See also: [[17edo neutral scale]]
See also: [[17edo neutral scale]]


== Mosses by generator pair ==
The following is a table that sorts all possible moment-of-symmetry scales by generator pair, including mos information, temperament-agnostic information, and temperament information. A few notes:
* The table denotes each family using a [[Horogram#Rectangular%20Horogram|rectangular horogram]], starting with 1L 1s and [[MOS Diagrams|adding notes]] until every note is added.
* For scales whose order of steps, from read left-to-right, starts with a large step and ends with a small step, the smaller of the two generators is the chroma-positive generator; otherwise, the larger of the two is the chroma-positive generator.
* [[TAMNAMS]] names are used wherever possible, except for scales with 4 or fewer notes and 1L ns scales for tidiness. Scales with at least four notes have clickable links to their corresponding mos page.
{{MOSes in EDO|EDO=17}}
{{MOSes in EDO|EDO=17}}
[[Category:17edo]]
[[Category:17edo]]
[[Category:MOS scales]]
[[Category:MOS scales]]

Revision as of 09:36, 8 December 2023

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.jpg

17edo horograms.pdf

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

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
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