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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
Line 21: Line 18:
|-
|-
| 4\17
| 4\17
| [[Huxley]]
| [[Huxley]]/[[Subklei]]
|-
|-
| 5\17
| 5\17
| [[Maqamic]]/[[Hemif]]
| [[Neutrominant]]/[[Hemif]]
|-
|-
| 6\17
| 6\17
Line 36: Line 33:
|}
|}


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.
 
{| 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
|
|
|}
 
[[Category:17edo]]
[[Category:MOS]]
Retrieved from "https://en.xen.wiki/w/List_of_MOS_scales_in_17edo"