List of MOS scales in 17edo: Difference between revisions
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→Mosses by generator pair: Updated according to current TAMNAMS names |
m categorize, plus some cleanup |
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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. | 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 | == 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. | 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]] | ||
| Line 11: | Line 11: | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | ! 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: [[ | See also: [[17edo neutral scale]] | ||
== Mosses by generator pair == | == Mosses by generator pair == | ||
| Line 49: | Line 49: | ||
|- | |- | ||
! colspan="17" |Steps for Generators 16\17 and 1\17 | ! colspan="17" |Steps for Generators 16\17 and 1\17 | ||
!Mos | ! Mos | ||
!Step Ratio | ! Step Ratio | ||
!TAMNAMS Name | ! TAMNAMS Name | ||
!Temperament | ! Temperament | ||
|- | |- | ||
| colspan="16" |16 | | colspan="16" |16 | ||
|1 | | 1 | ||
|1L 1s | | 1L 1s | ||
|16:1 | | 16:1 | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="15" |15 | | colspan="15" |15 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1L 2s | | 1L 2s | ||
|15:1 | | 15:1 | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="14" |14 | | colspan="14" |14 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|[[1L 3s]] | | [[1L 3s]] | ||
|14:1 | | 14:1 | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="13" |13 | | colspan="13" |13 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|[[1L 4s]] | | [[1L 4s]] | ||
|13:1 | | 13:1 | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="12" |12 | | colspan="12" |12 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|[[1L 5s]] | | [[1L 5s]] | ||
|12:1 | | 12:1 | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="11" |11 | | colspan="11" |11 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|[[1L 6s]] | | [[1L 6s]] | ||
|11:1 | | 11:1 | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="10" |10 | | colspan="10" |10 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|[[1L 7s]] | | [[1L 7s]] | ||
|10:1 | | 10:1 | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="9" |9 | | colspan="9" |9 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|[[1L 8s]] | | [[1L 8s]] | ||
|9:1 | | 9:1 | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="8" |8 | | colspan="8" |8 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|[[1L 9s]] | | [[1L 9s]] | ||
|8:1 | | 8:1 | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="7" |7 | | colspan="7" |7 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|[[1L 10s]] | | [[1L 10s]] | ||
|7:1 | | 7:1 | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="6" |6 | | colspan="6" |6 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|[[1L 11s]] | | [[1L 11s]] | ||
|6:1 | | 6:1 | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="5" |5 | | colspan="5" |5 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|[[1L 12s]] | | [[1L 12s]] | ||
|5:1 | | 5:1 | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="4" |4 | | colspan="4" |4 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|[[1L 13s]] | | [[1L 13s]] | ||
|4:1 | | 4:1 | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|[[1L 14s]] | | [[1L 14s]] | ||
|3:1 | | 3:1 | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|[[1L 15s]] | | [[1L 15s]] | ||
|2:1 | | 2:1 | ||
| | | | ||
| | | | ||
|- | |- | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|17edo | | 17edo | ||
|1 | | 1 | ||
| | | | ||
| | | | ||
|- | |- | ||
! colspan="17" |Steps for Generators 15\17 and 2\17 | ! colspan="17" |Steps for Generators 15\17 and 2\17 | ||
!Mos | ! Mos | ||
!Step Ratio | ! Step Ratio | ||
!TAMNAMS Name | ! TAMNAMS Name | ||
!Temperament | ! Temperament | ||
|- | |- | ||
| colspan="15" |15 | | colspan="15" |15 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1L 1s | | 1L 1s | ||
|15:2 | | 15:2 | ||
| | | | ||
| | | | ||
| Line 302: | Line 302: | ||
| colspan="2" |2 | | colspan="2" |2 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1L 2s | | 1L 2s | ||
|13:2 | | 13:2 | ||
| | | | ||
| | | | ||
| Line 311: | Line 311: | ||
| colspan="2" |2 | | colspan="2" |2 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|[[1L 3s]] | | [[1L 3s]] | ||
|11:2 | | 11:2 | ||
| | | | ||
|bleu[4] | | bleu[4] | ||
|- | |- | ||
| colspan="9" |9 | | colspan="9" |9 | ||
| Line 321: | Line 321: | ||
| colspan="2" |2 | | colspan="2" |2 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|[[1L 4s]] | | [[1L 4s]] | ||
|9:2 | | 9:2 | ||
| | | | ||
|bleu[5] | | bleu[5] | ||
|- | |- | ||
| colspan="7" |7 | | colspan="7" |7 | ||
| Line 332: | Line 332: | ||
| colspan="2" |2 | | colspan="2" |2 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|[[1L 5s]] | | [[1L 5s]] | ||
|7:2 | | 7:2 | ||
| | | | ||
|bleu[6] | | bleu[6] | ||
|- | |- | ||
| colspan="5" |5 | | colspan="5" |5 | ||
| Line 344: | Line 344: | ||
| colspan="2" |2 | | colspan="2" |2 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|[[1L 6s]] | | [[1L 6s]] | ||
|5:2 | | 5:2 | ||
| | | | ||
|bleu[7] | | bleu[7] | ||
|- | |- | ||
| colspan="3" |3 | | colspan="3" |3 | ||
| Line 357: | Line 357: | ||
| colspan="2" |2 | | colspan="2" |2 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|[[1L 7s]] | | [[1L 7s]] | ||
|3:2 | | 3:2 | ||
| | | | ||
|bleu[8] | | bleu[8] | ||
|- | |- | ||
|1 | | 1 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
| Line 371: | Line 371: | ||
| colspan="2" |2 | | colspan="2" |2 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|[[8L 1s]] | | [[8L 1s]] | ||
|2:1 | | 2:1 | ||
|subneutralic | | subneutralic | ||
|bleu[9] | | bleu[9] | ||
|- | |- | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|17edo | | 17edo | ||
|1 | | 1 | ||
| | | | ||
| | | | ||
|- | |- | ||
! colspan="17" |Steps for Generators 14\17 and 3\17 | ! colspan="17" |Steps for Generators 14\17 and 3\17 | ||
!Mos | ! Mos | ||
!Step Ratio | ! Step Ratio | ||
!TAMNAMS Name | ! TAMNAMS Name | ||
!Temperament | ! Temperament | ||
|- | |- | ||
| colspan="14" |14 | | colspan="14" |14 | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|1L 1s | | 1L 1s | ||
|14:3 | | 14:3 | ||
| | | | ||
| | | | ||
| Line 414: | Line 414: | ||
| colspan="3" |3 | | colspan="3" |3 | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|1L 2s | | 1L 2s | ||
|11:3 | | 11:3 | ||
| | | | ||
| | | | ||
| Line 423: | Line 423: | ||
| colspan="3" |3 | | colspan="3" |3 | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|[[1L 3s]] | | [[1L 3s]] | ||
|8:3 | | 8:3 | ||
| | | | ||
|machine[4] | | machine[4] | ||
|- | |- | ||
| colspan="5" |5 | | colspan="5" |5 | ||
| Line 433: | Line 433: | ||
| colspan="3" |3 | | colspan="3" |3 | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|[[1L 4s]] | | [[1L 4s]] | ||
|5:3 | | 5:3 | ||
| | | | ||
|machine[5] | | machine[5] | ||
|- | |- | ||
| colspan="2" |2 | | colspan="2" |2 | ||
| Line 444: | Line 444: | ||
| colspan="3" |3 | | colspan="3" |3 | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|[[5L 1s]] | | [[5L 1s]] | ||
|3:2 | | 3:2 | ||
|machinoid | | machinoid | ||
|machine[6] | | machine[6] | ||
|- | |- | ||
| colspan="2" |2 | | colspan="2" |2 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
|[[6L 5s]] | | [[6L 5s]] | ||
|2:1 | | 2:1 | ||
| | | | ||
|machine[11] | | machine[11] | ||
|- | |- | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|17edo | | 17edo | ||
|1 | | 1 | ||
| | | | ||
| | | | ||
|- | |- | ||
! colspan="17" |Steps for Generators 13\17 and 4\17 | ! colspan="17" |Steps for Generators 13\17 and 4\17 | ||
!Mos | ! Mos | ||
!Step Ratio | ! Step Ratio | ||
!TAMNAMS Name | ! TAMNAMS Name | ||
!Temperament | ! Temperament | ||
|- | |- | ||
| colspan="13" |13 | | colspan="13" |13 | ||
| colspan="4" |4 | | colspan="4" |4 | ||
|1L 1s | | 1L 1s | ||
|13:4 | | 13:4 | ||
| | | | ||
| | | | ||
| Line 503: | Line 503: | ||
| colspan="4" |4 | | colspan="4" |4 | ||
| colspan="4" |4 | | colspan="4" |4 | ||
|1L 2s | | 1L 2s | ||
|9:4 | | 9:4 | ||
| | | | ||
| | | | ||
| Line 512: | Line 512: | ||
| colspan="4" |4 | | colspan="4" |4 | ||
| colspan="4" |4 | | colspan="4" |4 | ||
|[[1L 3s]] | | [[1L 3s]] | ||
|5:4 | | 5:4 | ||
| | | | ||
|huxley[4] | | huxley[4] | ||
|- | |- | ||
|1 | | 1 | ||
| colspan="4" |4 | | colspan="4" |4 | ||
| colspan="4" |4 | | colspan="4" |4 | ||
| colspan="4" |4 | | colspan="4" |4 | ||
| colspan="4" |4 | | colspan="4" |4 | ||
|[[4L 1s]] | | [[4L 1s]] | ||
|4:1 | | 4:1 | ||
|manual | | manual | ||
|huxley[5] | | huxley[5] | ||
|- | |- | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|1 | | 1 | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|1 | | 1 | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|1 | | 1 | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|[[4L 5s]] | | [[4L 5s]] | ||
|3:1 | | 3:1 | ||
|gramitonic | | gramitonic | ||
|huxley[9] | | huxley[9] | ||
|- | |- | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|[[4L 9s]] | | [[4L 9s]] | ||
|2:1 | | 2:1 | ||
| | | | ||
|huxley[13] | | huxley[13] | ||
|- | |- | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|17edo | | 17edo | ||
|1 | | 1 | ||
| | | | ||
| | | | ||
|- | |- | ||
! colspan="17" |Steps for Generators 12\17 and 5\17 | ! colspan="17" |Steps for Generators 12\17 and 5\17 | ||
!Mos | ! Mos | ||
!Step Ratio | ! Step Ratio | ||
!TAMNAMS Name | ! TAMNAMS Name | ||
!Temperament | ! Temperament | ||
|- | |- | ||
| colspan="12" |12 | | colspan="12" |12 | ||
| colspan="5" |5 | | colspan="5" |5 | ||
|1L 1s | | 1L 1s | ||
|12:5 | | 12:5 | ||
| | | | ||
| | | | ||
| Line 597: | Line 597: | ||
| colspan="5" |5 | | colspan="5" |5 | ||
| colspan="5" |5 | | colspan="5" |5 | ||
|1L 2s | | 1L 2s | ||
|7:5 | | 7:5 | ||
| | | | ||
| | | | ||
| Line 606: | Line 606: | ||
| colspan="5" |5 | | colspan="5" |5 | ||
| colspan="5" |5 | | colspan="5" |5 | ||
|[[3L 1s]] | | [[3L 1s]] | ||
|5:2 | | 5:2 | ||
|tetric | | tetric | ||
|maqamic/hemif[4] | | maqamic/hemif[4] | ||
|- | |- | ||
| colspan="2" |2 | | colspan="2" |2 | ||
| Line 618: | Line 618: | ||
| colspan="2" |2 | | colspan="2" |2 | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|[[3L 4s]] | | [[3L 4s]] | ||
|3:2 | | 3:2 | ||
|mosh | | mosh | ||
|maqamic/hemif[7] | | maqamic/hemif[7] | ||
|- | |- | ||
| colspan="2" |2 | | colspan="2" |2 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
|[[7L 3s]] | | [[7L 3s]] | ||
|2:1 | | 2:1 | ||
|dicotonic | | dicotonic | ||
|maqamic/hemif[10] | | maqamic/hemif[10] | ||
|- | |- | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|17edo | | 17edo | ||
|1 | | 1 | ||
| | | | ||
| | | | ||
|- | |- | ||
! colspan="17" |Steps for Generators 11\17 and 6\17 | ! colspan="17" |Steps for Generators 11\17 and 6\17 | ||
!Mos | ! Mos | ||
!Step Ratio | ! Step Ratio | ||
!TAMNAMS Name | ! TAMNAMS Name | ||
!Temperament | ! Temperament | ||
|- | |- | ||
| colspan="11" |11 | | colspan="11" |11 | ||
| colspan="6" |6 | | colspan="6" |6 | ||
|1L 1s | | 1L 1s | ||
|11:6 | | 11:6 | ||
| | | | ||
| | | | ||
| Line 676: | Line 676: | ||
| colspan="6" |6 | | colspan="6" |6 | ||
| colspan="6" |6 | | colspan="6" |6 | ||
|2L 1s | | 2L 1s | ||
|6:5 | | 6:5 | ||
| | | | ||
| | | | ||
| Line 683: | Line 683: | ||
| colspan="5" |5 | | colspan="5" |5 | ||
| colspan="5" |5 | | colspan="5" |5 | ||
|1 | | 1 | ||
| colspan="5" |5 | | colspan="5" |5 | ||
|1 | | 1 | ||
|[[3L 2s]] | | [[3L 2s]] | ||
|5:1 | | 5:1 | ||
|antipentic | | antipentic | ||
|sqwares[5] | | sqwares[5] | ||
|- | |- | ||
| colspan="4" |4 | | colspan="4" |4 | ||
|1 | | 1 | ||
| colspan="4" |4 | | colspan="4" |4 | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="4" |4 | | colspan="4" |4 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|[[3L 5s]] | | [[3L 5s]] | ||
|4:1 | | 4:1 | ||
|checkertonic | | checkertonic | ||
|sqwares[8] | | sqwares[8] | ||
|- | |- | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|[[3L 8s]] | | [[3L 8s]] | ||
|3:1 | | 3:1 | ||
| | | | ||
|sqwares[11] | | sqwares[11] | ||
|- | |- | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|[[3L 11s]] | | [[3L 11s]] | ||
|2:1 | | 2:1 | ||
| | | | ||
|sqwares[14] | | sqwares[14] | ||
|- | |- | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|17edo | | 17edo | ||
|1 | | 1 | ||
| | | | ||
| | | | ||
|- | |- | ||
! colspan="17" |Steps for Generators 10\17 and 7\17 | ! colspan="17" |Steps for Generators 10\17 and 7\17 | ||
!Mos | ! Mos | ||
!Step Ratio | ! Step Ratio | ||
!TAMNAMS Name | ! TAMNAMS Name | ||
!Temperament | ! Temperament | ||
|- | |- | ||
| colspan="10" |10 | | colspan="10" |10 | ||
| colspan="7" |7 | | colspan="7" |7 | ||
|1L 1s | | 1L 1s | ||
|10:7 | | 10:7 | ||
| | | | ||
| | | | ||
| Line 777: | Line 777: | ||
| colspan="7" |7 | | colspan="7" |7 | ||
| colspan="7" |7 | | colspan="7" |7 | ||
|2L 1s | | 2L 1s | ||
|7:3 | | 7:3 | ||
| | | | ||
| | | | ||
| Line 787: | Line 787: | ||
| colspan="3" |3 | | colspan="3" |3 | ||
| colspan="4" |4 | | colspan="4" |4 | ||
|[[2L 3s]] | | [[2L 3s]] | ||
|4:3 | | 4:3 | ||
|pentic | | pentic | ||
|supra[5] | | supra[5] | ||
|- | |- | ||
| colspan="3" |3 | | colspan="3" |3 | ||
| colspan="3" |3 | | colspan="3" |3 | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|1 | | 1 | ||
| colspan="3" |3 | | colspan="3" |3 | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|1 | | 1 | ||
|[[5L 2s]] | | [[5L 2s]] | ||
|3:1 | | 3:1 | ||
|diatonic | | diatonic | ||
|supra[7] | | supra[7] | ||
|- | |- | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|[[5L 7s]] | | [[5L 7s]] | ||
|2:1 | | 2:1 | ||
| | | | ||
|supra[12] | | supra[12] | ||
|- | |- | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|17edo | | 17edo | ||
|1 | | 1 | ||
| | | | ||
| | | | ||
|- | |- | ||
! colspan="17" |Steps for Generators 9\17 and 8\17 | ! colspan="17" |Steps for Generators 9\17 and 8\17 | ||
!Mos | ! Mos | ||
!Step Ratio | ! Step Ratio | ||
!TAMNAMS Name | ! TAMNAMS Name | ||
!Temperament | ! Temperament | ||
|- | |- | ||
| colspan="9" |9 | | colspan="9" |9 | ||
| colspan="8" |8 | | colspan="8" |8 | ||
|1L 1s | | 1L 1s | ||
|9:8 | | 9:8 | ||
| | | | ||
| | | | ||
|- | |- | ||
|1 | | 1 | ||
| colspan="8" |8 | | colspan="8" |8 | ||
| colspan="8" |8 | | colspan="8" |8 | ||
|2L 1s | | 2L 1s | ||
|8:1 | | 8:1 | ||
| | | | ||
| | | | ||
|- | |- | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="7" |7 | | colspan="7" |7 | ||
|1 | | 1 | ||
| colspan="7" |7 | | colspan="7" |7 | ||
|[[2L 3s]] | | [[2L 3s]] | ||
|7:1 | | 7:1 | ||
|pentic | | pentic | ||
|progress[5] | | progress[5] | ||
|- | |- | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="6" |6 | | colspan="6" |6 | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="6" |6 | | colspan="6" |6 | ||
|[[2L 5s]] | | [[2L 5s]] | ||
|6:1 | | 6:1 | ||
|antidiatonic | | antidiatonic | ||
|progress[7] | | progress[7] | ||
|- | |- | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="5" |5 | | colspan="5" |5 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="5" |5 | | colspan="5" |5 | ||
|[[2L 7s]] | | [[2L 7s]] | ||
|5:1 | | 5:1 | ||
|balzano | | balzano | ||
|progress[9] | | progress[9] | ||
|- | |- | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="4" |4 | | colspan="4" |4 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="4" |4 | | colspan="4" |4 | ||
|[[2L 9s]] | | [[2L 9s]] | ||
|4:1 | | 4:1 | ||
| | | | ||
|progress[11] | | progress[11] | ||
|- | |- | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="3" |3 | | colspan="3" |3 | ||
|[[2L 11s]] | | [[2L 11s]] | ||
|3:1 | | 3:1 | ||
| | | | ||
|progress[13] | | progress[13] | ||
|- | |- | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
| colspan="2" |2 | | colspan="2" |2 | ||
|[[2L 13s]] | | [[2L 13s]] | ||
|2:1 | | 2:1 | ||
| | | | ||
|progress[15] | | progress[15] | ||
|- | |- | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|1 | | 1 | ||
|17edo | | 17edo | ||
|1 | | 1 | ||
| | | | ||
| | | | ||
|} | |} | ||
[[Category:17edo]] | |||
[[Category:MOS]] | |||
Revision as of 11:56, 19 November 2022
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.
| 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
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 rectangular horogram, starting with 1L 1s and 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.
| Single-Period Scales for 17 Equal Division of the Octave | ||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Steps for Generators 16\17 and 1\17 | Mos | Step Ratio | TAMNAMS Name | Temperament | ||||||||||||||||
| 16 | 1 | 1L 1s | 16:1 | |||||||||||||||||
| 15 | 1 | 1 | 1L 2s | 15:1 | ||||||||||||||||
| 14 | 1 | 1 | 1 | 1L 3s | 14:1 | |||||||||||||||
| 13 | 1 | 1 | 1 | 1 | 1L 4s | 13:1 | ||||||||||||||
| 12 | 1 | 1 | 1 | 1 | 1 | 1L 5s | 12:1 | |||||||||||||
| 11 | 1 | 1 | 1 | 1 | 1 | 1 | 1L 6s | 11:1 | ||||||||||||
| 10 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1L 7s | 10:1 | |||||||||||
| 9 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1L 8s | 9:1 | ||||||||||
| 8 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1L 9s | 8:1 | |||||||||
| 7 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1L 10s | 7:1 | ||||||||
| 6 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1L 11s | 6:1 | |||||||
| 5 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1L 12s | 5:1 | ||||||
| 4 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1L 13s | 4:1 | |||||
| 3 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1L 14s | 3:1 | ||||
| 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 | ||
| Steps for Generators 15\17 and 2\17 | Mos | Step Ratio | TAMNAMS Name | Temperament | ||||||||||||||||
| 15 | 2 | 1L 1s | 15:2 | |||||||||||||||||
| 13 | 2 | 2 | 1L 2s | 13:2 | ||||||||||||||||
| 11 | 2 | 2 | 2 | 1L 3s | 11:2 | bleu[4] | ||||||||||||||
| 9 | 2 | 2 | 2 | 2 | 1L 4s | 9:2 | bleu[5] | |||||||||||||
| 7 | 2 | 2 | 2 | 2 | 2 | 1L 5s | 7:2 | bleu[6] | ||||||||||||
| 5 | 2 | 2 | 2 | 2 | 2 | 2 | 1L 6s | 5:2 | bleu[7] | |||||||||||
| 3 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1L 7s | 3:2 | bleu[8] | ||||||||||
| 1 | 2 | 2 | 2 | 2 | 2 | 2 | 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 | ||
| Steps for Generators 14\17 and 3\17 | Mos | Step Ratio | TAMNAMS Name | Temperament | ||||||||||||||||
| 14 | 3 | 1L 1s | 14:3 | |||||||||||||||||
| 11 | 3 | 3 | 1L 2s | 11:3 | ||||||||||||||||
| 8 | 3 | 3 | 3 | 1L 3s | 8:3 | machine[4] | ||||||||||||||
| 5 | 3 | 3 | 3 | 3 | 1L 4s | 5:3 | machine[5] | |||||||||||||
| 2 | 3 | 3 | 3 | 3 | 3 | 5L 1s | 3:2 | machinoid | machine[6] | |||||||||||
| 2 | 2 | 1 | 2 | 1 | 2 | 1 | 2 | 1 | 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 | ||
| Steps for Generators 13\17 and 4\17 | Mos | Step Ratio | TAMNAMS Name | Temperament | ||||||||||||||||
| 13 | 4 | 1L 1s | 13:4 | |||||||||||||||||
| 9 | 4 | 4 | 1L 2s | 9:4 | ||||||||||||||||
| 5 | 4 | 4 | 4 | 1L 3s | 5:4 | huxley[4] | ||||||||||||||
| 1 | 4 | 4 | 4 | 4 | 4L 1s | 4:1 | manual | huxley[5] | ||||||||||||
| 1 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 3 | 4L 5s | 3:1 | gramitonic | huxley[9] | ||||||||
| 1 | 1 | 1 | 2 | 1 | 1 | 2 | 1 | 1 | 2 | 1 | 1 | 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 | ||
| Steps for Generators 12\17 and 5\17 | Mos | Step Ratio | TAMNAMS Name | Temperament | ||||||||||||||||
| 12 | 5 | 1L 1s | 12:5 | |||||||||||||||||
| 7 | 5 | 5 | 1L 2s | 7:5 | ||||||||||||||||
| 2 | 5 | 5 | 5 | 3L 1s | 5:2 | tetric | maqamic/hemif[4] | |||||||||||||
| 2 | 2 | 3 | 2 | 3 | 2 | 3 | 3L 4s | 3:2 | mosh | maqamic/hemif[7] | ||||||||||
| 2 | 2 | 2 | 1 | 2 | 2 | 1 | 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 | ||
| Steps for Generators 11\17 and 6\17 | Mos | Step Ratio | TAMNAMS Name | Temperament | ||||||||||||||||
| 11 | 6 | 1L 1s | 11:6 | |||||||||||||||||
| 5 | 6 | 6 | 2L 1s | 6:5 | ||||||||||||||||
| 5 | 5 | 1 | 5 | 1 | 3L 2s | 5:1 | antipentic | sqwares[5] | ||||||||||||
| 4 | 1 | 4 | 1 | 1 | 4 | 1 | 1 | 3L 5s | 4:1 | checkertonic | sqwares[8] | |||||||||
| 3 | 1 | 1 | 3 | 1 | 1 | 1 | 3 | 1 | 1 | 1 | 3L 8s | 3:1 | sqwares[11] | |||||||
| 2 | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 | 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 | ||
| Steps for Generators 10\17 and 7\17 | Mos | Step Ratio | TAMNAMS Name | Temperament | ||||||||||||||||
| 10 | 7 | 1L 1s | 10:7 | |||||||||||||||||
| 3 | 7 | 7 | 2L 1s | 7:3 | ||||||||||||||||
| 3 | 3 | 4 | 3 | 4 | 2L 3s | 4:3 | pentic | supra[5] | ||||||||||||
| 3 | 3 | 3 | 1 | 3 | 3 | 1 | 5L 2s | 3:1 | diatonic | supra[7] | ||||||||||
| 2 | 1 | 2 | 1 | 2 | 1 | 1 | 2 | 1 | 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 | ||
| Steps for Generators 9\17 and 8\17 | Mos | Step Ratio | TAMNAMS Name | Temperament | ||||||||||||||||
| 9 | 8 | 1L 1s | 9:8 | |||||||||||||||||
| 1 | 8 | 8 | 2L 1s | 8:1 | ||||||||||||||||
| 1 | 1 | 7 | 1 | 7 | 2L 3s | 7:1 | pentic | progress[5] | ||||||||||||
| 1 | 1 | 1 | 6 | 1 | 1 | 6 | 2L 5s | 6:1 | antidiatonic | progress[7] | ||||||||||
| 1 | 1 | 1 | 1 | 5 | 1 | 1 | 1 | 5 | 2L 7s | 5:1 | balzano | progress[9] | ||||||||
| 1 | 1 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 1 | 4 | 2L 9s | 4:1 | progress[11] | |||||||
| 1 | 1 | 1 | 1 | 1 | 1 | 3 | 1 | 1 | 1 | 1 | 1 | 3 | 2L 11s | 3:1 | progress[13] | |||||
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 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 | ||