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List of MOS scales in 17edo: Difference between revisions

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→Moment of Symmetry Scales of 17edo: Added a mos table that was generated using a VBA script.
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=Moment of Symmetry Scales of [[17edo|17edo]]=
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.


See [[MOSScales|moment of symmetry scales]] for background on this type of linear scale.
==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.


[[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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See also: [[17edo_neutral_scale|17edo neutral scale]]
See also: [[17edo_neutral_scale|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. 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[3]
|-
| colspan="9" |9
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|[[1L 4s]]
|9:2
|
|bleu[4]
|-
| colspan="7" |7
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|[[1L 5s]]
|7:2
|
|bleu[5]
|-
| 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[6]
|-
| 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[7]
|-
|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[8]
|-
|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[3]
|-
| colspan="5" |5
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
|[[1L 4s]]
|5:3
|
|machine[4]
|-
| colspan="2" |2
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
|[[5L 1s]]
|3:2
|machinoid
|machine[5]
|-
| 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[6]
|-
|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[3]
|-
|1
| colspan="4" |4
| colspan="4" |4
| colspan="4" |4
| colspan="4" |4
|[[4L 1s]]
|4:1
|manic
|huxley[4]
|-
|1
|1
| colspan="3" |3
|1
| colspan="3" |3
|1
| colspan="3" |3
|1
| colspan="3" |3
|[[4L 5s]]
|3:1
|orwelloid
|huxley[5]
|-
|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[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 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
|
|maqamic/hemif[3]
|-
| 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[4]
|-
| 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[7]
|-
|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[3]
|-
| colspan="4" |4
|1
| colspan="4" |4
|1
|1
| colspan="4" |4
|1
|1
|3L 5s
|4:1
|sensoid
|sqwares[5]
|-
| colspan="3" |3
|1
|1
| colspan="3" |3
|1
|1
|1
| colspan="3" |3
|1
|1
|1
|3L 8s
|3:1
|
|sqwares[8]
|-
| 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[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 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[3]
|-
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
|1
| colspan="3" |3
| colspan="3" |3
|1
|[[5L 2s]]
|3:1
|diatonic
|supra[5]
|-
| 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
|p-chromatic
|supra[7]
|-
|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[3]
|-
|1
|1
|1
| colspan="6" |6
|1
|1
| colspan="6" |6
|[[2L 5s]]
|6:1
|antidiatonic
|progress[5]
|-
|1
|1
|1
|1
| colspan="5" |5
|1
|1
|1
| colspan="5" |5
|[[2L 7s]]
|5:1
|joanatonic
|progress[7]
|-
|1
|1
|1
|1
|1
| colspan="4" |4
|1
|1
|1
|1
| colspan="4" |4
|[[2L 9s]]
|4:1
|
|progress[9]
|-
|1
|1
|1
|1
|1
|1
| colspan="3" |3
|1
|1
|1
|1
|1
| colspan="3" |3
|[[2L 11s]]
|3:1
|
|progress[11]
|-
|1
|1
|1
|1
|1
|1
|1
| colspan="2" |2
|1
|1
|1
|1
|1
|1
| colspan="2" |2
|[[2L 13s]]
|2:1
|
|progress[13]
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|17edo
|1
|
|
|}
Retrieved from "https://en.xen.wiki/w/List_of_MOS_scales_in_17edo"