List of MOS scales in 17edo: Difference between revisions

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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.
{{MOSes in EDO|EDO=17}}
 
==Diagram of mosses of [[17edo]]==
 
The following diagram is a visualization of some of the mosses available in 17edo. See [[MOSScales|moment of symmetry scales]] for background on this type of linear scale, and see [[horogram]] for background on this type of diagram.


== Gallery ==
[[File:17edo_horograms.jpg|alt=17edo_horograms.jpg|17edo_horograms.jpg]]
[[File:17edo_horograms.jpg|alt=17edo_horograms.jpg|17edo_horograms.jpg]]


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{| class="wikitable"
{| class="wikitable"
|-
|-
! | generator
! Generator
! | temperament
! Temperament
|-
|-
| | 2\17
| 2\17
| | [[Bleu|Bleu]]
| [[Bleu]]
|-
|-
| | 3\17
| 3\17
| | [[Machine|Machine]]
| [[Machine]]
|-
|-
| | 4\17
| 4\17
| | [[Huxley|Huxley]]
| [[Huxley]]/[[Subklei]]
|-
|-
| | 5\17
| 5\17
| | [[maqamic|Maqamic]]/[[Hemif|hemif]]
| [[Neutrominant]]/[[Hemif]]
|-
|-
| | 6\17
| 6\17
| | [[Skwares|Skwares]]
| [[Skwares]]
|-
|-
| | 7\17
| 7\17
| | [[Supra|Supra]]
| [[Supra]]
|-
|-
| | 8\17
| 8\17
| | [[Progress|Progress]]
| [[Progress]]
|}
|}


See also: [[17edo_neutral_scale|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.
 
{| class="wikitable"
! colspan="21" |Single-Period Scales for 17 Equal Division of the Octave
|-
! colspan="17" |Steps for Generators 16\17 and 1\17
!Mos
!Step Ratio
!TAMNAMS Name
!Temperament
|-
| colspan="16" |16
|1
|1L 1s
|16:1
|
|
|-
| colspan="15" |15
|1
|1
|1L 2s
|15:1
|
|
|-
| colspan="14" |14
|1
|1
|1
|[[1L 3s]]
|14:1
|
|
|-
| colspan="13" |13
|1
|1
|1
|1
|[[1L 4s]]
|13:1
|
|
|-
| colspan="12" |12
|1
|1
|1
|1
|1
|[[1L 5s]]
|12:1
|
|
|-
| colspan="11" |11
|1
|1
|1
|1
|1
|1
|[[1L 6s]]
|11:1
|
|
|-
| colspan="10" |10
|1
|1
|1
|1
|1
|1
|1
|[[1L 7s]]
|10:1
|
|
|-
| colspan="9" |9
|1
|1
|1
|1
|1
|1
|1
|1
|[[1L 8s]]
|9:1
|
|
|-
| colspan="8" |8
|1
|1
|1
|1
|1
|1
|1
|1
|1
|[[1L 9s]]
|8:1
|
|
|-
| colspan="7" |7
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|[[1L 10s]]
|7:1
|
|
|-
| colspan="6" |6
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|[[1L 11s]]
|6:1
|
|
|-
| colspan="5" |5
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|[[1L 12s]]
|5:1
|
|
|-
| colspan="4" |4
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|[[1L 13s]]
|4:1
|
|
|-
| colspan="3" |3
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|[[1L 14s]]
|3:1
|
|
|-
| colspan="2" |2
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|[[1L 15s]]
|2:1
|
|
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|17edo
|1
|
|
|-
! colspan="17" |Steps for Generators 15\17 and 2\17
!Mos
!Step Ratio
!TAMNAMS Name
!Temperament
|-
| colspan="15" |15
| colspan="2" |2
|1L 1s
|15:2
|
|
|-
| colspan="13" |13
| colspan="2" |2
| colspan="2" |2
|1L 2s
|13:2
|
|
|-
| colspan="11" |11
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|[[1L 3s]]
|11:2
|
|bleu[4]
|-
| colspan="9" |9
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|[[1L 4s]]
|9:2
|
|bleu[5]
|-
| colspan="7" |7
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|[[1L 5s]]
|7:2
|
|bleu[6]
|-
| colspan="5" |5
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|[[1L 6s]]
|5:2
|
|bleu[7]
|-
| colspan="3" |3
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|[[1L 7s]]
|3:2
|
|bleu[8]
|-
|1
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|[[8L 1s]]
|2:1
|subneutralic
|bleu[9]
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|17edo
|1
|
|
|-
! colspan="17" |Steps for Generators 14\17 and 3\17
!Mos
!Step Ratio
!TAMNAMS Name
!Temperament
|-
| colspan="14" |14
| colspan="3" |3
|1L 1s
|14:3
|
|
|-
| colspan="11" |11
| colspan="3" |3
| colspan="3" |3
|1L 2s
|11:3
|
|
|-
| colspan="8" |8
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
|[[1L 3s]]
|8:3
|
|machine[4]
|-
| colspan="5" |5
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
|[[1L 4s]]
|5:3
|
|machine[5]
|-
| colspan="2" |2
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
|[[5L 1s]]
|3:2
|machinoid
|machine[6]
|-
| colspan="2" |2
| colspan="2" |2
|1
| colspan="2" |2
|1
| colspan="2" |2
|1
| colspan="2" |2
|1
| colspan="2" |2
|1
|[[6L 5s]]
|2:1
|
|machine[11]
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|17edo
|1
|
|
|-
! colspan="17" |Steps for Generators 13\17 and 4\17
!Mos
!Step Ratio
!TAMNAMS Name
!Temperament
|-
| colspan="13" |13
| colspan="4" |4
|1L 1s
|13:4
|
|
|-
| colspan="9" |9
| colspan="4" |4
| colspan="4" |4
|1L 2s
|9:4
|
|
|-
| colspan="5" |5
| colspan="4" |4
| colspan="4" |4
| colspan="4" |4
|[[1L 3s]]
|5:4
|
|huxley[4]
|-
|1
| colspan="4" |4
| colspan="4" |4
| colspan="4" |4
| colspan="4" |4
|[[4L 1s]]
|4:1
|manual
|huxley[5]
|-
|1
|1
| colspan="3" |3
|1
| colspan="3" |3
|1
| colspan="3" |3
|1
| colspan="3" |3
|[[4L 5s]]
|3:1
|gramitonic
|huxley[9]
|-
|1
|1
|1
| colspan="2" |2
|1
|1
| colspan="2" |2
|1
|1
| colspan="2" |2
|1
|1
| colspan="2" |2
|[[4L 9s]]
|2:1
|
|huxley[13]
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|17edo
|1
|
|
|-
! colspan="17" |Steps for Generators 12\17 and 5\17
!Mos
!Step Ratio
!TAMNAMS Name
!Temperament
|-
| colspan="12" |12
| colspan="5" |5
|1L 1s
|12:5
|
|
|-
| colspan="7" |7
| colspan="5" |5
| colspan="5" |5
|1L 2s
|7:5
|
|
|-
| colspan="2" |2
| colspan="5" |5
| colspan="5" |5
| colspan="5" |5
|[[3L 1s]]
|5:2
|tetric
|maqamic/hemif[4]
|-
| colspan="2" |2
| colspan="2" |2
| colspan="3" |3
| colspan="2" |2
| colspan="3" |3
| colspan="2" |2
| colspan="3" |3
|[[3L 4s]]
|3:2
|mosh
|maqamic/hemif[7]
|-
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|1
| colspan="2" |2
| colspan="2" |2
|1
| colspan="2" |2
| colspan="2" |2
|1
|[[7L 3s]]
|2:1
|dicotonic
|maqamic/hemif[10]
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|17edo
|1
|
|
|-
! colspan="17" |Steps for  Generators 11\17 and 6\17
!Mos
!Step Ratio
!TAMNAMS Name
!Temperament
|-
| colspan="11" |11
| colspan="6" |6
|1L 1s
|11:6
|
|
|-
| colspan="5" |5
| colspan="6" |6
| colspan="6" |6
|2L 1s
|6:5
|
|
|-
| colspan="5" |5
| colspan="5" |5
|1
| colspan="5" |5
|1
|[[3L 2s]]
|5:1
|antipentic
|sqwares[5]
|-
| colspan="4" |4
|1
| colspan="4" |4
|1
|1
| colspan="4" |4
|1
|1
|[[3L 5s]]
|4:1
|checkertonic
|sqwares[8]
|-
| colspan="3" |3
|1
|1
| colspan="3" |3
|1
|1
|1
| colspan="3" |3
|1
|1
|1
|[[3L 8s]]
|3:1
|
|sqwares[11]
|-
| colspan="2" |2
|1
|1
|1
| colspan="2" |2
|1
|1
|1
|1
| colspan="2" |2
|1
|1
|1
|1
|[[3L 11s]]
|2:1
|
|sqwares[14]
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|17edo
|1
|
|
|-
! colspan="17" |Steps for Generators 10\17 and 7\17
!Mos
!Step Ratio
!TAMNAMS Name
!Temperament
|-
| colspan="10" |10
| colspan="7" |7
|1L 1s
|10:7
|
|
|-
| colspan="3" |3
| colspan="7" |7
| colspan="7" |7
|2L 1s
|7:3
|
|
|-
| colspan="3" |3
| colspan="3" |3
| colspan="4" |4
| colspan="3" |3
| colspan="4" |4
|[[2L 3s]]
|4:3
|pentic
|supra[5]
|-
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
|1
| colspan="3" |3
| colspan="3" |3
|1
|[[5L 2s]]
|3:1
|diatonic
|supra[7]
|-
| colspan="2" |2
|1
| colspan="2" |2
|1
| colspan="2" |2
|1
|1
| colspan="2" |2
|1
| colspan="2" |2
|1
|1
|[[5L 7s]]
|2:1
|
|supra[12]
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|17edo
|1
|
|
|-
! colspan="17" |Steps for Generators 9\17 and 8\17
!Mos
!Step Ratio
!TAMNAMS Name
!Temperament
|-
| colspan="9" |9
| colspan="8" |8
|1L 1s
|9:8
|
|
|-
|1
| colspan="8" |8
| colspan="8" |8
|2L 1s
|8:1
|
|
|-
|1
|1
| colspan="7" |7
|1
| colspan="7" |7
|[[2L 3s]]
|7:1
|pentic
|progress[5]
|-
|1
|1
|1
| colspan="6" |6
|1
|1
| colspan="6" |6
|[[2L 5s]]
|6:1
|antidiatonic
|progress[7]
|-
|1
|1
|1
|1
| colspan="5" |5
|1
|1
|1
| colspan="5" |5
|[[2L 7s]]
|5:1
|balzano
|progress[9]
|-
|1
|1
|1
|1
|1
| colspan="4" |4
|1
|1
|1
|1
| colspan="4" |4
|[[2L 9s]]
|4:1
|
|progress[11]
|-
|1
|1
|1
|1
|1
|1
| colspan="3" |3
|1
|1
|1
|1
|1
| colspan="3" |3
|[[2L 11s]]
|3:1
|
|progress[13]
|-
|1
|1
|1
|1
|1
|1
|1
| colspan="2" |2
|1
|1
|1
|1
|1
|1
| colspan="2" |2
|[[2L 13s]]
|2:1
|
|progress[15]
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|17edo
|1
|
|
|}

Latest revision as of 12:08, 21 May 2025

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

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