Catalog of MOS: Difference between revisions

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Below is a list of MOS with number of elements from 5 to 15, plus the names of some of the more significant MOS 11 and larger.
{{Interwiki
| en = Catalog of MOS
| es =
| de =
| ja = MOSカタログ
}}
This page presents an extensive gallery of [[MOS scale]]s, an extension of the structure of the familiar diatonic (major/minor) and chromatic scales devised by [[Erv Wilson]], which can be applied to all kinds of different [[tuning|tuning systems]].  


{| class="wikitable" style="text-align: center;"
See the page [[MOS scale]] for a proper explanation.
|+ style="font-size: 105%; white-space: nowrap;" | Lists of MOS scales by number of steps
 
== Mosses by total note count ==
Mosses in '''bold''' have 2 or more [[period]]s per octave (meaning they have extra symmetries similar to the familiar augmented, diminished and whole tone scales from [[12edo]]).
 
Mosses without bold have 1 period per octave (similar to the familiar major and minor scales).
 
{| class="wikitable"
|-
|-
! Steps
! rowspan="2" |Note count
| colspan="27" |  
! colspan="14" |Total number of large steps
|-
|-
! [[Pentatonic MOS|5]]
!1
|
!2
|
!3
|
!4
|
!5
|
!6
|
!7
|
!8
|
!9
|
!10
|
!11
| [[1L 4s]]
!12
|
!13
| [[2L 3s]]
!14
|
| [[3L 2s]]
|
| [[4L 1s]]
|
|
|
|
|
|
|
|
|
|
|-
|-
! [[Hexatonic MOS|6]]
| rowspan="2" |Trivial mosses
|
|[[1L 1s]]
|
|
|
|
|
|
|
|
|
|
|
|
|  
|
|  
|
| [[1L 5s]]
|
|  
|
| [[2L 4s]]
|
|
|
| [[3L 3s]]
|
|  
| [[4L 2s]]
|
| [[5L 1s]]
|  
|  
|  
|  
|  
|  
|  
|  
|  
|-
|-
! [[Heptatonic MOS|7]]
|[[1L 2s]]
|
|[[2L 1s]]
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| [[1L 6s]]
|
|
|
| [[2L 5s]]
|
|
|
| [[3L 4s]]
|
|
| [[4L 3s]]
|  
| [[5L 2s]]
|  
| [[6L 1s]]
|  
|  
|  
|  
|  
|  
|  
|  
|-
|-
! [[Octatonic MOS|8]]
|Tetratonic mosses
|
|[[1L 3s]]
|
|'''[[2L 2s]]'''
|
|[[3L 1s]]
|
|
|
|
|
|
|  
|
| [[1L 7s]]
|
|  
|
| [[2L 6s]]
|
|
|
| [[3L 5s]]
|
|
|
| [[4L 4s]]
|
|
| [[5L 3s]]
|  
| [[6L 2s]]
|  
| [[7L 1s]]
|  
|  
|  
|  
|  
|  
|  
|-
|-
! [[Enneatonic MOS|9]]
|Pentatonic mosses
|
|[[1L 4s]]
|
|[[2L 3s]]
|
|[[3L 2s]]
|
|[[4L 1s]]
|
|
|  
|
| [[1L 8s]]
|
|
|
| [[2L 7s]]
|
|
|
| [[3L 6s]]
|
|
|
| [[4L 5s]]
|
|
|
| [[5L 4s]]
|  
| [[6L 3s]]
|  
| [[7L 2s]]
|
| [[8L 1s]]
|  
|  
|  
|  
|  
|  
|-
|-
! [[Decatonic MOS|10]]
|Hexatonic mosses
|
|[[1L 5s]]
|
|'''[[2L 4s]]'''
|
|'''[[3L 3s]]'''
|
|'''[[4L 2s]]'''
|  
|[[5L 1s]]
| [[1L 9s]]
|
|  
|
| [[2L 8s]]
|
|  
|
| [[3L 7s]]
|
|  
|
| [[4L 6s]]
|
|
|
| [[5L 5s]]
|
|
| [[6L 4s]]
|
| [[7L 3s]]
|  
| [[8L 2s]]
|  
| [[9L 1s]]
|  
|  
|  
|  
|  
|-
|-
! [[Hendecatonic MOS|11]]
|Heptatonic mosses
|
|[[1L 6s]]
|
|[[2L 5s]]
|
|[[3L 4s]]
|  
|[[4L 3s]]
| [[1L 10s]]
|[[5L 2s]]
|
|[[6L 1s]]
| [[2L 9s]]
|
|
|
| [[3L 8s]]
|
|
|
| [[4L 7s]]
|
|
|
| [[5L 6s]]
|
|
|
| [[6L 5s]]
|  
| [[7L 4s]]
|  
| [[8L 3s]]
|
| [[9L 2s]]
|
| [[10L 1s]]
|  
|  
|  
|  
|-
|-
! [[Dodecatonic MOS|12]]
|Octatonic mosses
|
|[[1L 7s]]
|
|'''[[2L 6s]]'''
|  
|[[3L 5s]]
| [[1L 11s]]
|'''[[4L 4s]]'''
|  
|[[5L 3s]]
| [[2L 10s]]
|'''[[6L 2s]]'''
|
|[[7L 1s]]
| [[3L 9s]]
|
|  
|
| [[4L 8s]]
|
|
|
| [[5L 7s]]
|
|  
|
| [[6L 6s]]
|
|
| [[7L 5s]]
|
| [[8L 4s]]
|
| [[9L 3s]]
|  
| [[10L 2s]]
|  
| [[11L 1s]]
|  
|  
|  
|-
|-
! [[Tridecatonic MOS|13]]
|Enneatonic mosses
|
|[[1L 8s]]
|  
|[[2L 7s]]
| [[1L 12s]]
|'''[[3L 6s]]'''
|
|[[4L 5s]]
| [[2L 11s]]
|[[5L 4s]]
|  
|'''[[6L 3s]]'''
| [[3L 10s]]
|[[7L 2s]]
|
|[[8L 1s]]
| [[4L 9s]]
|
|
|
| [[5L 8s]]
|
|  
|
| [[6L 7s]]
|
|
|
| [[7L 6s]]
|
| [[8L 5s]]
|  
| [[9L 4s]]
|  
| [[10L 3s]]
|  
| [[11L 2s]]
|
| [[12L 1s]]
|  
|  
|-
|-
! [[Tetradecatonic MOS|14]]
|Decatonic mosses
|  
|[[1L 9s]]
| [[1L 13s]]
|'''[[2L 8s]]'''
|  
|[[3L 7s]]
| [[2L 12s]]
|'''[[4L 6s]]'''
|
|'''[[5L 5s]]'''
| [[3L 11s]]
|'''[[6L 4s]]'''
|  
|[[7L 3s]]
| [[4L 10s]]
|'''[[8L 2s]]'''
|  
|[[9L 1s]]
| [[5L 9s]]
|
|  
|
| [[6L 8s]]
|
|
|
| [[7L 7s]]
|
|  
| [[8L 6s]]
|
| [[9L 5s]]
|
| [[10L 4s]]
|
| [[11L 3s]]
|  
| [[12L 2s]]
|  
| [[13L 1s]]
|  
|-
|-
! [[Pentadecatonic MOS|15]]
|Hendecatonic mosses
| [[1L 14s]]
|[[1L 10s]]
|  
|[[2L 9s]]
| [[2L 13s]]
|[[3L 8s]]
|  
|[[4L 7s]]
| [[3L 12s]]
|[[5L 6s]]
|  
|[[6L 5s]]
| [[4L 11s]]
|[[7L 4s]]
|  
|[[8L 3s]]
| [[5L 10s]]
|[[9L 2s]]
|  
|[[10L 1s]]
| [[6L 9s]]
|
|  
|
| [[7L 8s]]
|
|  
|
| [[8L 7s]]
|-
|  
|Dodecatonic mosses
| [[9L 6s]]
|[[1L 11s]]
|  
|'''[[2L 10s]]'''
| [[10L 5s]]
|'''[[3L 9s]]'''
|
|'''[[4L 8s]]'''
| [[11L 4s]]
|[[5L 7s]]
|  
|'''[[6L 6s]]'''
| [[12L 3s]]
|[[7L 5s]]
|
|'''[[8L 4s]]'''
| [[13L 2s]]
|'''[[9L 3s]]'''
|
|'''[[10L 2s]]'''
| [[14L 1s]]
|[[11L 1s]]
|
|
|
|-
|Tridecatonic mosses
|[[1L 12s]]
|[[2L 11s]]
|[[3L 10s]]
|[[4L 9s]]
|[[5L 8s]]
|[[6L 7s]]
|[[7L 6s]]
|[[8L 5s]]
|[[9L 4s]]
|[[10L 3s]]
|[[11L 2s]]
|[[12L 1s]]
|
|
|-
|Tetradecatonic mosses
|[[1L 13s]]
|'''[[2L 12s]]'''
|[[3L 11s]]
|'''[[4L 10s]]'''
|[[5L 9s]]
|'''[[6L 8s]]'''
|'''[[7L 7s]]'''
|'''[[8L 6s]]'''
|[[9L 5s]]
|'''[[10L 4s]]'''
|[[11L 3s]]
|'''[[12L 2s]]'''
|[[13L 1s]]
|
|-
|Pentadecatonic mosses
|[[1L 14s]]
|[[2L 13s]]
|'''[[3L 12s]]'''
|[[4L 11s]]
|'''[[5L 10s]]'''
|'''[[6L 9s]]'''
|[[7L 8s]]
|[[8L 7s]]
|'''[[9L 6s]]'''
|'''[[10L 5s]]'''
|[[11L 4s]]
|'''[[12L 3s]]'''
|[[13L 2s]]
|[[14L 1s]]
|}
|}


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[[File:Every-MOS-Scale-With-14-Or-Fewer-Notes.mp3|left|800x800px]]<br><br><br>
[[File:Every-MOS-Scale-With-14-Or-Fewer-Notes.mp3|left|800x800px]]<br><br><br>


== Browse MOS by Temperament ==
== Browse MOS by temperament ==
'''Hendecatonic'''
{| class="wikitable mw-collapsible" style="width: 100%;"
* Sensi[11] [[8L&nbsp;3s]]
|+
* Machine[11], Baldy[11] [[6L&nbsp;5s]]
Table of mosses by associated temperament
* Slendric[11] [[5L&nbsp;6s]]
|-
* Keemun[11] [[4L&nbsp;7s]]
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Hendecatonic
 
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Sensi[11] [[8L&nbsp;3s]]</span> •<!--
'''Dodecatonic'''
--> <span style="white-space: nowrap;">Machine[11], Baldy[11] [[6L&nbsp;5s]]</span> •<!--
* Passion[12], Ripple[12] [[11L&nbsp;1s]]
--> <span style="white-space: nowrap;">Slendric[11] [[5L&nbsp;6s]]</span> •<!--
* Pajara[12] [[10L&nbsp;2s]]
--> <span style="white-space: nowrap;">Keemun[11] [[4L&nbsp;7s]]</span>
* August[12] [[9L&nbsp;3s]]
|-
* Meantone[12] [[7L&nbsp;5s]]
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Dodecatonic
* Hexe[12] [[6L&nbsp;6s]]
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Passion[12], Ripple[12] [[11L&nbsp;1s]]</span> •<!--
* Superpyth[12] [[5L&nbsp;7s]]
--> <span style="white-space: nowrap;">Pajara[12] [[10L&nbsp;2s]]</span> •<!--
* Diminished[12] [[4L&nbsp;8s]]
--> <span style="white-space: nowrap;">August[12] [[9L&nbsp;3s]]</span> •<!--
* Augene[12] [[3L&nbsp;9s]]
--> <span style="white-space: nowrap;">Meantone[12] [[7L&nbsp;5s]]</span> •<!--
* Injera[12] [[2L&nbsp;10s]]
--> <span style="white-space: nowrap;">Hexe[12] [[6L&nbsp;6s]]</span> •<!--
 
--> <span style="white-space: nowrap;">Superpyth[12] [[5L&nbsp;7s]]</span> •<!--
'''Tridecatonic'''
--> <span style="white-space: nowrap;">Diminished[12] [[4L&nbsp;8s]]</span> •<!--
''also see [[Tridecatonic MOS]]''
--> <span style="white-space: nowrap;">Augene[12] [[3L&nbsp;9s]]</span> •<!--
* Heinz[13] [[11L&nbsp;2s]]
--> <span style="white-space: nowrap;">Injera[12] [[2L&nbsp;10s]]</span>
* [[Sephiroth13]] [[10L&nbsp;3s]]
|-
* Orwell[13] [[9L&nbsp;4s]]
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Tridecatonic<br><span style="font-weight: normal;">''also see [[Tridecatonic MOS]]''</span>
* [[Tridec13]] [[8L&nbsp;5s]]
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Heinz[13] [[11L&nbsp;2s]]</span> •<!--
* Tetracot[13] [[7L&nbsp;6s]]
--> <span style="white-space: nowrap;">[[Sephiroth13]] [[10L&nbsp;3s]]</span> •<!--
* [[leantone13]] [[6L&nbsp;7s]]
--> <span style="white-space: nowrap;">Orwell[13] [[9L&nbsp;4s]]</span> •<!--
* Semisept[13] [[5L&nbsp;8s]]
--> <span style="white-space: nowrap;">[[Tridec13]] [[8L&nbsp;5s]]</span> •<!--
* Huxley[13], Lovecraft[13] [[4L&nbsp;9s]]
--> <span style="white-space: nowrap;">Tetracot[13] [[7L&nbsp;6s]]</span> •<!--
* Magic[13] [[3L&nbsp;10s]]
--> <span style="white-space: nowrap;">[[leantone13]] [[6L&nbsp;7s]]</span> •<!--
 
--> <span style="white-space: nowrap;">Semisept[13] [[5L&nbsp;8s]]</span> •<!--
'''Tetradecatonic'''
--> <span style="white-space: nowrap;">Huxley[13], Lovecraft[13] [[4L&nbsp;9s]]</span> •<!--
* Octacot[14] [[13L&nbsp;1s]]
--> <span style="white-space: nowrap;">Magic[13] [[3L&nbsp;10s]]</span>
* Injera[14] [[12L&nbsp;2s]]
|-
* Ketradektriatoh[14] [[11L&nbsp;3s]]
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Tetradecatonic
* Superpelog[14] [[9L&nbsp;5s]]
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Octacot[14] [[13L&nbsp;1s]]</span> •<!--
* Whitewood[14] [[7L&nbsp;7s]]
--> <span style="white-space: nowrap;">Injera[14] [[12L&nbsp;2s]]</span> •<!--
* Godzilla[14] [[5L&nbsp;9s]]
--> <span style="white-space: nowrap;">Ketradektriatoh[14] [[11L&nbsp;3s]]</span> •<!--
* Doublewide[14] [[4L&nbsp;10s]]
--> <span style="white-space: nowrap;">Superpelog[14] [[9L&nbsp;5s]]</span> •<!--
* Squares[14] [[3L&nbsp;11s]]
--> <span style="white-space: nowrap;">Whitewood[14] [[7L&nbsp;7s]]</span> •<!--
* Nautilus[14] [[1L&nbsp;13s]]
--> <span style="white-space: nowrap;">Godzilla[14] [[5L&nbsp;9s]]</span> •<!--
 
--> <span style="white-space: nowrap;">Doublewide[14] [[4L&nbsp;10s]]</span> •<!--
'''Pentadecatonic'''
--> <span style="white-space: nowrap;">Squares[14] [[3L&nbsp;11s]]</span> •<!--
* Nautilus[15] [[14L&nbsp;1s]]
--> <span style="white-space: nowrap;">Nautilus[14] [[1L&nbsp;13s]]</span>
* Kangaroo[15] [[13L&nbsp;2s]]
|-
* Superkleismic[15] [[11L&nbsp;4s]]
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Pentadecatonic
* Augene[15] [[12L&nbsp;3s]]
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Nautilus[15] [[14L&nbsp;1s]]</span> •<!--
* Blacksmith[15] [[10L&nbsp;5s]]
--> <span style="white-space: nowrap;">Kangaroo[15] [[13L&nbsp;2s]]</span> •<!--
* Triforce[15] [[9L&nbsp;6s]]
--> <span style="white-space: nowrap;">Superkleismic[15] [[11L&nbsp;4s]]</span> •<!--
* Opossum[15] [[8L&nbsp;7s]]
--> <span style="white-space: nowrap;">Augene[15] [[12L&nbsp;3s]]</span> •<!--
* Porcupine[15] [[7L&nbsp;8s]]
--> <span style="white-space: nowrap;">Blacksmith[15] [[10L&nbsp;5s]]</span> •<!--
* Terrain[15] [[6L&nbsp;9s]]
--> <span style="white-space: nowrap;">Triforce[15] [[9L&nbsp;6s]]</span> •<!--
* Myna[15], Keemun[15] [[4L&nbsp;11s]]
--> <span style="white-space: nowrap;">Opossum[15] [[8L&nbsp;7s]]</span> •<!--
* Progress[15] [[2L&nbsp;13s]]
--> <span style="white-space: nowrap;">Porcupine[15] [[7L&nbsp;8s]]</span> •<!--
* Valentine[15] [[1L&nbsp;14s]]
--> <span style="white-space: nowrap;">Terrain[15] [[6L&nbsp;9s]]</span> •<!--
 
--> <span style="white-space: nowrap;">Myna[15], Keemun[15] [[4L&nbsp;11s]]</span> •<!--
'''Hexadecatonic'''
--> <span style="white-space: nowrap;">Progress[15] [[2L&nbsp;13s]]</span> •<!--
* Valentine[16] [[15L&nbsp;1s]]
--> <span style="white-space: nowrap;">Valentine[15] [[1L&nbsp;14s]]</span>
* Kumonga[16] [[11L&nbsp;5s]]
|-
* Lemba[16] [[10L&nbsp;6s]]
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Hexadecatonic
* Mavila[16] [[9L&nbsp;7s]]
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Valentine[16] [[15L&nbsp;1s]]</span> •<!--
* Mavila[16], Marvo[16], Gravity[16] [[7L&nbsp;9s]]
--> <span style="white-space: nowrap;">Kumonga[16] [[11L&nbsp;5s]]</span> •<!--
* Wizard[16] [[6L&nbsp;10s]]
--> <span style="white-space: nowrap;">Lemba[16] [[10L&nbsp;6s]]</span> •<!--
* Mothra[16], Shoe[16] [[5L&nbsp;11s]]
--> <span style="white-space: nowrap;">Mavila[16] [[9L&nbsp;7s]]</span> •<!--
* Magic[16] [[3L&nbsp;13s]]
--> <span style="white-space: nowrap;">Mavila[16], Marvo[16], Gravity[16] [[7L&nbsp;9s]]</span> •<!--
 
--> <span style="white-space: nowrap;">Wizard[16] [[6L&nbsp;10s]]</span> •<!--
'''Septadecatonic'''
--> <span style="white-space: nowrap;">Mothra[16], Shoe[16] [[5L&nbsp;11s]]</span> •<!--
* Progress[17] [[15L&nbsp;2s]]
--> <span style="white-space: nowrap;">Magic[16] [[3L&nbsp;13s]]</span>
* Squares[17] [[14L&nbsp;3s]]
|-
* Garibaldi[17] [[12L&nbsp;5s]]
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Septadecatonic
* Machine[17] [[11L&nbsp;6s]]
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Progress[17] [[15L&nbsp;2s]]</span> •<!--
* Beatles[17] [[10L&nbsp;7s]]
--> <span style="white-space: nowrap;">Squares[17] [[14L&nbsp;3s]]</span> •<!--
* Bleu[17], Blue[17], Progression[17],  
--> <span style="white-space: nowrap;">Garibaldi[17] [[12L&nbsp;5s]]</span> •<!--
** Doublethink[17] [[9L&nbsp;8s]]
--> <span style="white-space: nowrap;">Machine[17] [[11L&nbsp;6s]]</span> •<!--
** Indium[17], Bohpier[17] [[8L&nbsp;9s]]
--> <span style="white-space: nowrap;">Beatles[17] [[10L&nbsp;7s]]</span> •<!--
* Mohajira[17] [[7L&nbsp;10s]]
--> <span style="white-space: nowrap;">Bleu[17], Blue[17], Progression[17], Doublethink[17] [[9L&nbsp;8s]]</span> •<!--
* Baldy[17] [[6L&nbsp;11s]]
--> <span style="white-space: nowrap;">Indium[17], Bohpier[17] [[8L&nbsp;9s]]</span> •<!--
* Superpyth[17] [[5L&nbsp;12s]]
--> <span style="white-space: nowrap;">Mohajira[17] [[7L&nbsp;10s]]</span> •<!--
* Roman[17] [[3L&nbsp;14s]]
--> <span style="white-space: nowrap;">Baldy[17] [[6L&nbsp;11s]]</span> •<!--
* Tritonic[17] [[2L&nbsp;15s]]
--> <span style="white-space: nowrap;">Superpyth[17] [[5L&nbsp;12s]]</span> •<!--
 
--> <span style="white-space: nowrap;">Roman[17] [[3L&nbsp;14s]]</span> •<!--
'''Octodecatonic'''
--> <span style="white-space: nowrap;">Tritonic[17] [[2L&nbsp;15s]]</span>
* A-team[18] [[13L&nbsp;5s]]
|-
 
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Octodecatonic
'''Enneadecatonic'''
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">A-team[18] [[13L&nbsp;5s]]</span>
* Liese[19] [[17L&nbsp;2s]]
|-
* Muggles[19] [[16L&nbsp;3s]]
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Enneadecatonic
* Keemun[19] [[15L&nbsp;4s]]
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Liese[19] [[17L&nbsp;2s]]</span> •<!--
* 2-Flattone[19] [[13L&nbsp;6s]]
--> <span style="white-space: nowrap;">Muggles[19] [[16L&nbsp;3s]]</span> •<!--
* Meantone[19] [[12L&nbsp;7s]]
--> <span style="white-space: nowrap;">Keemun[19] [[15L&nbsp;4s]]</span> •<!--
* Clyde[19] [[11L&nbsp;8s]]
--> <span style="white-space: nowrap;">2-Flattone[19] [[13L&nbsp;6s]]</span> •<!--
* Negri[19] [[10L&nbsp;9s]]
--> <span style="white-space: nowrap;">Meantone[19] [[12L&nbsp;7s]]</span> •<!--
* Twothirdtonic[19] [[9L&nbsp;10s]]
--> <span style="white-space: nowrap;">Clyde[19] [[11L&nbsp;8s]]</span> •<!--
* Sensi[19] [[8L&nbsp;11s]]
--> <span style="white-space: nowrap;">Negri[19] [[10L&nbsp;9s]]</span> •<!--
* Flattone[19] [[7L&nbsp;12s]]
--> <span style="white-space: nowrap;">Twothirdtonic[19] [[9L&nbsp;10s]]</span> •<!--
* Hemiwuerschmidt[19] [[6L&nbsp;13s]]
--> <span style="white-space: nowrap;">Sensi[19] [[8L&nbsp;11s]]</span> •<!--
* Semaphore[19], Godzilla[19] [[5L&nbsp;14s]]
--> <span style="white-space: nowrap;">Flattone[19] [[7L&nbsp;12s]]</span> •<!--
* Myna[19] [[4L&nbsp;15s]]
--> <span style="white-space: nowrap;">Hemiwuerschmidt[19] [[6L&nbsp;13s]]</span> •<!--
* Magic[19] [[3L&nbsp;16s]]
--> <span style="white-space: nowrap;">Semaphore[19], Godzilla[19] [[5L&nbsp;14s]]</span> •<!--
* Tritonic[19] [[2L&nbsp;17s]]
--> <span style="white-space: nowrap;">Myna[19] [[4L&nbsp;15s]]</span> •<!--
 
--> <span style="white-space: nowrap;">Magic[19] [[3L&nbsp;16s]]</span> •<!--
'''Icositonic'''
--> <span style="white-space: nowrap;">Tritonic[19] [[2L&nbsp;17s]]</span>
* Bossier[20] [[17L&nbsp;3s]]
|-
* Mitonic[20] [[13L&nbsp;7s]]
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Icositonic
* Casablanca[20] [[11L&nbsp;9s]]
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Bossier[20] [[17L&nbsp;3s]]</span> •<!--
* Avila[20] [[9L&nbsp;11s]]
--> <span style="white-space: nowrap;">Mitonic[20] [[13L&nbsp;7s]]</span> •<!--
* Tetracot[20] [[7L&nbsp;13s]]
--> <span style="white-space: nowrap;">Casablanca[20] [[11L&nbsp;9s]]</span> •<!--
* Roman[20] [[3L&nbsp;17s]]
--> <span style="white-space: nowrap;">Avila[20] [[9L&nbsp;11s]]</span> •<!--
 
--> <span style="white-space: nowrap;">Tetracot[20] [[7L&nbsp;13s]]</span> •<!--
'''Icosihentonic'''
--> <span style="white-space: nowrap;">Roman[20] [[3L&nbsp;17s]]</span>
* Shoe[21] [[16L&nbsp;5s]]
|-
* Miracle[21] [[10L&nbsp;11s]]
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Icosihentonic
* Tridec[21] [[8L&nbsp;13s]]
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Shoe[21] [[16L&nbsp;5s]]</span> •<!--
* Rodan[21] [[5L&nbsp;16s]]
--> <span style="white-space: nowrap;">Miracle[21] [[10L&nbsp;11s]]</span> •<!--
* Tritonic[21] [[2L&nbsp;19s]]
--> <span style="white-space: nowrap;">Tridec[21] [[8L&nbsp;13s]]</span> •<!--
 
--> <span style="white-space: nowrap;">Rodan[21] [[5L&nbsp;16s]]</span> •<!--
'''Icosidyotonic'''
--> <span style="white-space: nowrap;">Tritonic[21] [[2L&nbsp;19s]]</span>
* Magic[22] [[19L&nbsp;3s]]
|-
* Supra[22] [[17L&nbsp;5s]]
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Icosidyotonic
* Porcupine[22] [[15L&nbsp;7s]]
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Magic[22] [[19L&nbsp;3s]]</span> •<!--
* Diaschismic[22] [[12L&nbsp;10s]]
--> <span style="white-space: nowrap;">Supra[22] [[17L&nbsp;5s]]</span> •<!--
* Orwell[22] [[9L&nbsp;13s]]
--> <span style="white-space: nowrap;">Porcupine[22] [[15L&nbsp;7s]]</span> •<!--
* Coendou[22] [[7L&nbsp;15s]]
--> <span style="white-space: nowrap;">Diaschismic[22] [[12L&nbsp;10s]]</span> •<!--
* Wizard[22] [[6L&nbsp;16s]]
--> <span style="white-space: nowrap;">Orwell[22] [[9L&nbsp;13s]]</span> •<!--
* Superpyth[22] [[5L&nbsp;17s]]
--> <span style="white-space: nowrap;">Coendou[22] [[7L&nbsp;15s]]</span> •<!--
* Wuerschmidt[22] [[3L&nbsp;19s]]
--> <span style="white-space: nowrap;">Wizard[22] [[6L&nbsp;16s]]</span> •<!--
* Shrutar[22] [[2L&nbsp;20s]]
--> <span style="white-space: nowrap;">Superpyth[22] [[5L&nbsp;17s]]</span> •<!--
 
--> <span style="white-space: nowrap;">Wuerschmidt[22] [[3L&nbsp;19s]]</span> •<!--
'''Icositritonic'''
--> <span style="white-space: nowrap;">Shrutar[22] [[2L&nbsp;20s]]</span>
* Barbad[23] [[18L&nbsp;5s]]
|-
* Hemikleismic[23] [[15L&nbsp;8s]]
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Icositritonic
* Unidec[23] [[13L&nbsp;10s]]
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Barbad[23] [[18L&nbsp;5s]]</span> •<!--
* Ripple[23] [[12L&nbsp;11s]]
--> <span style="white-space: nowrap;">Hemikleismic[23] [[15L&nbsp;8s]]</span> •<!--
* Passion[23] [[11L&nbsp;12s]]
--> <span style="white-space: nowrap;">Unidec[23] [[13L&nbsp;10s]]</span> •<!--
* Sephiroth[23] [[10L&nbsp;13s]]
--> <span style="white-space: nowrap;">Ripple[23] [[12L&nbsp;11s]]</span> •<!--
* Greeley[23] [[8L&nbsp;15s]]
--> <span style="white-space: nowrap;">Passion[23] [[11L&nbsp;12s]]</span> •<!--
* Baldy[23] [[6L&nbsp;17s]]
--> <span style="white-space: nowrap;">Sephiroth[23] [[10L&nbsp;13s]]</span> •<!--
* Roman[23] [[3L&nbsp;20s]]
--> <span style="white-space: nowrap;">Greeley[23] [[8L&nbsp;15s]]</span> •<!--
 
--> <span style="white-space: nowrap;">Baldy[23] [[6L&nbsp;17s]]</span> •<!--
'''Icositetratonic and above'''
--> <span style="white-space: nowrap;">Roman[23] [[3L&nbsp;20s]]</span>
* Godzilla[24] [[19L&nbsp;5s]]
|-
* Hemififths[24] [[17L&nbsp;7s]]
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Icositetratonic and above
* Mohajira[24] [[7L&nbsp;17s]]
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Godzilla[24] [[19L&nbsp;5s]]</span> •<!--
* Semaphore[24] [[5L&nbsp;19s]]
--> <span style="white-space: nowrap;">Hemififths[24] [[17L&nbsp;7s]]</span> •<!--
* Hemimagic[25] [[19L&nbsp;6s]]
--> <span style="white-space: nowrap;">Mohajira[24] [[7L&nbsp;17s]]</span> •<!--
* Luna[25] [[6L&nbsp;19s]]
--> <span style="white-space: nowrap;">Semaphore[24] [[5L&nbsp;19s]]</span> •<!--
* Superpyth[27] [[22L&nbsp;5s]]
--> <span style="white-space: nowrap;">Hemimagic[25] [[19L&nbsp;6s]]</span> •<!--
* Sensi[27] [[19L&nbsp;8s]]
--> <span style="white-space: nowrap;">Luna[25] [[6L&nbsp;19s]]</span> •<!--
* Ennealimmal[27] [[18L&nbsp;9s]]
--> <span style="white-space: nowrap;">Superpyth[27] [[22L&nbsp;5s]]</span> •<!--
* Octacot[27] narrow [[14L&nbsp;13s]], wide [[13L&nbsp;14s]]
--> <span style="white-space: nowrap;">Sensi[27] [[19L&nbsp;8s]]</span> •<!--
* Niner[27] [[9L&nbsp;18s]]
--> <span style="white-space: nowrap;">Ennealimmal[27] [[18L&nbsp;9s]]</span> •<!--
* Ultrapyth[27] [[5L&nbsp;22s]]
--> <span style="white-space: nowrap;">Octacot[27] narrow [[14L&nbsp;13s]], wide [[13L&nbsp;14s]]</span> •<!--
* Leapday[29], Grackle[29] [[17L&nbsp;12s]]
--> <span style="white-space: nowrap;">Niner[27] [[9L&nbsp;18s]]</span> •<!--
* Garibaldi[29] [[12L&nbsp;17s]]
--> <span style="white-space: nowrap;">Ultrapyth[27] [[5L&nbsp;22s]]</span> •<!--
* Tridec[29] [[8L&nbsp;21s]]
--> <span style="white-space: nowrap;">Leapday[29], Grackle[29] [[17L&nbsp;12s]]</span> •<!--
* Clyde[30] [[19L&nbsp;11s]]
--> <span style="white-space: nowrap;">Garibaldi[29] [[12L&nbsp;17s]]</span> •<!--
* Luna[31] [[25L&nbsp;6s]]
--> <span style="white-space: nowrap;">Tridec[29] [[8L&nbsp;21s]]</span> •<!--
* Meanpop[31] [[19L&nbsp;12s]]
--> <span style="white-space: nowrap;">Clyde[30] [[19L&nbsp;11s]]</span> •<!--
* Squares[31] [[17L&nbsp;14s]]
--> <span style="white-space: nowrap;">Luna[31] [[25L&nbsp;6s]]</span> •<!--
* Grosstone[31] [[12L&nbsp;19s]]
--> <span style="white-space: nowrap;">Meanpop[31] [[19L&nbsp;12s]]</span> •<!--
* Miracle[31] [[10L&nbsp;21s]]
--> <span style="white-space: nowrap;">Squares[31] [[17L&nbsp;14s]]</span> •<!--
* Roulette[31] [[6L&nbsp;25s]]
--> <span style="white-space: nowrap;">Grosstone[31] [[12L&nbsp;19s]]</span> •<!--
--> <span style="white-space: nowrap;">Miracle[31] [[10L&nbsp;21s]]</span> •<!--
--> <span style="white-space: nowrap;">Roulette[31] [[6L&nbsp;25s]]</span>
|}


== Browse MOS by EDO ==
== Browse MOS by EDO ==
Line 508: Line 442:
'''Individual pages'''
'''Individual pages'''


{| class="wikitable center-all mw-collapsible mw-collapsed"
{| class="wikitable center-all mw-collapsible"
|+ style="font-size: 105%; white-space: nowrap;" | Lists of MOS scales in n-edo
|+ style="font-size: 105%; white-space: nowrap;" | Lists of MOS scales in n-edo
|-
|-
Line 731: Line 665:
| [[List of MOS scales in 199edo|199]]
| [[List of MOS scales in 199edo|199]]
|}
|}
== Browse MOS by equivalence interval ==
This section shows mosses arranged as a grid. Since mosses can be generalized to non-octave equaves, 3/1 (tritave) and 3/2 (fifth) equivalent mosses are included here. Cutoffs are determined by whether a row or column after a specific point consists of red links.
=== Catalog of 2/1-equivalent mosses ===
{| class="wikitable mw-collapsible mw-collapsed"
|+2/1-equivalent mosses (up to 33 steps)
! rowspan="2" |Number of small steps
! colspan="32" |Number of large steps
|-
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
!21
!22
!23
!24
!25
!26
!27
!28
!29
!30
!31
!32
|-
!1
|[[1L 1s]]
|[[2L 1s]]
|[[3L 1s]]
|[[4L 1s]]
|[[5L 1s]]
|[[6L 1s]]
|[[7L 1s]]
|[[8L 1s]]
|[[9L 1s]]
|[[10L 1s]]
|[[11L 1s]]
|[[12L 1s]]
|[[13L 1s]]
|[[14L 1s]]
|[[15L 1s]]
|[[16L 1s]]
|[[17L 1s]]
|[[18L 1s]]
|[[19L 1s]]
|[[20L 1s]]
|[[21L 1s]]
|[[22L 1s]]
|[[23L 1s]]
|[[24L 1s]]
|[[25L 1s]]
|[[26L 1s]]
|[[27L 1s]]
|[[28L 1s]]
|[[29L 1s]]
|[[30L 1s]]
|[[31L 1s]]
|[[32L 1s]]
|-
!2
|[[1L 2s]]
|[[2L 2s]]
|[[3L 2s]]
|[[4L 2s]]
|[[5L 2s]]
|[[6L 2s]]
|[[7L 2s]]
|[[8L 2s]]
|[[9L 2s]]
|[[10L 2s]]
|[[11L 2s]]
|[[12L 2s]]
|[[13L 2s]]
|[[14L 2s]]
|[[15L 2s]]
|[[16L 2s]]
|[[17L 2s]]
|[[18L 2s]]
|[[19L 2s]]
|[[20L 2s]]
|[[21L 2s]]
|[[22L 2s]]
|[[23L 2s]]
|[[24L 2s]]
|[[25L 2s]]
|[[26L 2s]]
|[[27L 2s]]
|[[28L 2s]]
|[[29L 2s]]
|[[30L 2s]]
|[[31L 2s]]
|
|-
!3
|[[1L 3s]]
|[[2L 3s]]
|[[3L 3s]]
|[[4L 3s]]
|[[5L 3s]]
|[[6L 3s]]
|[[7L 3s]]
|[[8L 3s]]
|[[9L 3s]]
|[[10L 3s]]
|[[11L 3s]]
|[[12L 3s]]
|[[13L 3s]]
|[[14L 3s]]
|[[15L 3s]]
|[[16L 3s]]
|[[17L 3s]]
|[[18L 3s]]
|[[19L 3s]]
|[[20L 3s]]
|[[21L 3s]]
|[[22L 3s]]
|[[23L 3s]]
|[[24L 3s]]
|[[25L 3s]]
|[[26L 3s]]
|[[27L 3s]]
|[[28L 3s]]
|[[29L 3s]]
|[[30L 3s]]
|
|
|-
!4
|[[1L 4s]]
|[[2L 4s]]
|[[3L 4s]]
|[[4L 4s]]
|[[5L 4s]]
|[[6L 4s]]
|[[7L 4s]]
|[[8L 4s]]
|[[9L 4s]]
|[[10L 4s]]
|[[11L 4s]]
|[[12L 4s]]
|[[13L 4s]]
|[[14L 4s]]
|[[15L 4s]]
|[[16L 4s]]
|[[17L 4s]]
|[[18L 4s]]
|[[19L 4s]]
|[[20L 4s]]
|[[21L 4s]]
|[[22L 4s]]
|[[23L 4s]]
|[[24L 4s]]
|[[25L 4s]]
|[[26L 4s]]
|[[27L 4s]]
|[[28L 4s]]
|[[29L 4s]]
|
|
|
|-
!5
|[[1L 5s]]
|[[2L 5s]]
|[[3L 5s]]
|[[4L 5s]]
|[[5L 5s]]
|[[6L 5s]]
|[[7L 5s]]
|[[8L 5s]]
|[[9L 5s]]
|[[10L 5s]]
|[[11L 5s]]
|[[12L 5s]]
|[[13L 5s]]
|[[14L 5s]]
|[[15L 5s]]
|[[16L 5s]]
|[[17L 5s]]
|[[18L 5s]]
|[[19L 5s]]
|[[20L 5s]]
|[[21L 5s]]
|[[22L 5s]]
|[[23L 5s]]
|[[24L 5s]]
|[[25L 5s]]
|[[26L 5s]]
|[[27L 5s]]
|[[28L 5s]]
|
|
|
|
|-
!6
|[[1L 6s]]
|[[2L 6s]]
|[[3L 6s]]
|[[4L 6s]]
|[[5L 6s]]
|[[6L 6s]]
|[[7L 6s]]
|[[8L 6s]]
|[[9L 6s]]
|[[10L 6s]]
|[[11L 6s]]
|[[12L 6s]]
|[[13L 6s]]
|[[14L 6s]]
|[[15L 6s]]
|[[16L 6s]]
|[[17L 6s]]
|[[18L 6s]]
|[[19L 6s]]
|[[20L 6s]]
|[[21L 6s]]
|[[22L 6s]]
|[[23L 6s]]
|[[24L 6s]]
|[[25L 6s]]
|[[26L 6s]]
|[[27L 6s]]
|
|
|
|
|
|-
!7
|[[1L 7s]]
|[[2L 7s]]
|[[3L 7s]]
|[[4L 7s]]
|[[5L 7s]]
|[[6L 7s]]
|[[7L 7s]]
|[[8L 7s]]
|[[9L 7s]]
|[[10L 7s]]
|[[11L 7s]]
|[[12L 7s]]
|[[13L 7s]]
|[[14L 7s]]
|[[15L 7s]]
|[[16L 7s]]
|[[17L 7s]]
|[[18L 7s]]
|[[19L 7s]]
|[[20L 7s]]
|[[21L 7s]]
|[[22L 7s]]
|[[23L 7s]]
|[[24L 7s]]
|[[25L 7s]]
|[[26L 7s]]
|
|
|
|
|
|
|-
!8
|[[1L 8s]]
|[[2L 8s]]
|[[3L 8s]]
|[[4L 8s]]
|[[5L 8s]]
|[[6L 8s]]
|[[7L 8s]]
|[[8L 8s]]
|[[9L 8s]]
|[[10L 8s]]
|[[11L 8s]]
|[[12L 8s]]
|[[13L 8s]]
|[[14L 8s]]
|[[15L 8s]]
|[[16L 8s]]
|[[17L 8s]]
|[[18L 8s]]
|[[19L 8s]]
|[[20L 8s]]
|[[21L 8s]]
|[[22L 8s]]
|[[23L 8s]]
|[[24L 8s]]
|[[25L 8s]]
|
|
|
|
|
|
|
|-
!9
|[[1L 9s]]
|[[2L 9s]]
|[[3L 9s]]
|[[4L 9s]]
|[[5L 9s]]
|[[6L 9s]]
|[[7L 9s]]
|[[8L 9s]]
|[[9L 9s]]
|[[10L 9s]]
|[[11L 9s]]
|[[12L 9s]]
|[[13L 9s]]
|[[14L 9s]]
|[[15L 9s]]
|[[16L 9s]]
|[[17L 9s]]
|[[18L 9s]]
|[[19L 9s]]
|[[20L 9s]]
|[[21L 9s]]
|[[22L 9s]]
|[[23L 9s]]
|[[24L 9s]]
|
|
|
|
|
|
|
|
|-
!10
|[[1L 10s]]
|[[2L 10s]]
|[[3L 10s]]
|[[4L 10s]]
|[[5L 10s]]
|[[6L 10s]]
|[[7L 10s]]
|[[8L 10s]]
|[[9L 10s]]
|[[10L 10s]]
|[[11L 10s]]
|[[12L 10s]]
|[[13L 10s]]
|[[14L 10s]]
|[[15L 10s]]
|[[16L 10s]]
|[[17L 10s]]
|[[18L 10s]]
|[[19L 10s]]
|[[20L 10s]]
|[[21L 10s]]
|[[22L 10s]]
|[[23L 10s]]
|
|
|
|
|
|
|
|
|
|-
!11
|[[1L 11s]]
|[[2L 11s]]
|[[3L 11s]]
|[[4L 11s]]
|[[5L 11s]]
|[[6L 11s]]
|[[7L 11s]]
|[[8L 11s]]
|[[9L 11s]]
|[[10L 11s]]
|[[11L 11s]]
|[[12L 11s]]
|[[13L 11s]]
|[[14L 11s]]
|[[15L 11s]]
|[[16L 11s]]
|[[17L 11s]]
|[[18L 11s]]
|[[19L 11s]]
|[[20L 11s]]
|[[21L 11s]]
|[[22L 11s]]
|
|
|
|
|
|
|
|
|
|
|-
!12
|[[1L 12s]]
|[[2L 12s]]
|[[3L 12s]]
|[[4L 12s]]
|[[5L 12s]]
|[[6L 12s]]
|[[7L 12s]]
|[[8L 12s]]
|[[9L 12s]]
|[[10L 12s]]
|[[11L 12s]]
|[[12L 12s]]
|[[13L 12s]]
|[[14L 12s]]
|[[15L 12s]]
|[[16L 12s]]
|[[17L 12s]]
|[[18L 12s]]
|[[19L 12s]]
|[[20L 12s]]
|[[21L 12s]]
|
|
|
|
|
|
|
|
|
|
|
|-
!13
|[[1L 13s]]
|[[2L 13s]]
|[[3L 13s]]
|[[4L 13s]]
|[[5L 13s]]
|[[6L 13s]]
|[[7L 13s]]
|[[8L 13s]]
|[[9L 13s]]
|[[10L 13s]]
|[[11L 13s]]
|[[12L 13s]]
|[[13L 13s]]
|[[14L 13s]]
|[[15L 13s]]
|[[16L 13s]]
|[[17L 13s]]
|[[18L 13s]]
|[[19L 13s]]
|[[20L 13s]]
|
|
|
|
|
|
|
|
|
|
|
|
|-
!14
|[[1L 14s]]
|[[2L 14s]]
|[[3L 14s]]
|[[4L 14s]]
|[[5L 14s]]
|[[6L 14s]]
|[[7L 14s]]
|[[8L 14s]]
|[[9L 14s]]
|[[10L 14s]]
|[[11L 14s]]
|[[12L 14s]]
|[[13L 14s]]
|[[14L 14s]]
|[[15L 14s]]
|[[16L 14s]]
|[[17L 14s]]
|[[18L 14s]]
|[[19L 14s]]
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
!15
|[[1L 15s]]
|[[2L 15s]]
|[[3L 15s]]
|[[4L 15s]]
|[[5L 15s]]
|[[6L 15s]]
|[[7L 15s]]
|[[8L 15s]]
|[[9L 15s]]
|[[10L 15s]]
|[[11L 15s]]
|[[12L 15s]]
|[[13L 15s]]
|[[14L 15s]]
|[[15L 15s]]
|[[16L 15s]]
|[[17L 15s]]
|[[18L 15s]]
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
!16
|[[1L 16s]]
|[[2L 16s]]
|[[3L 16s]]
|[[4L 16s]]
|[[5L 16s]]
|[[6L 16s]]
|[[7L 16s]]
|[[8L 16s]]
|[[9L 16s]]
|[[10L 16s]]
|[[11L 16s]]
|[[12L 16s]]
|[[13L 16s]]
|[[14L 16s]]
|[[15L 16s]]
|[[16L 16s]]
|[[17L 16s]]
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
!17
|[[1L 17s]]
|[[2L 17s]]
|[[3L 17s]]
|[[4L 17s]]
|[[5L 17s]]
|[[6L 17s]]
|[[7L 17s]]
|[[8L 17s]]
|[[9L 17s]]
|[[10L 17s]]
|[[11L 17s]]
|[[12L 17s]]
|[[13L 17s]]
|[[14L 17s]]
|[[15L 17s]]
|[[16L 17s]]
|
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|-
!18
|[[1L 18s]]
|[[2L 18s]]
|[[3L 18s]]
|[[4L 18s]]
|[[5L 18s]]
|[[6L 18s]]
|[[7L 18s]]
|[[8L 18s]]
|[[9L 18s]]
|[[10L 18s]]
|[[11L 18s]]
|[[12L 18s]]
|[[13L 18s]]
|[[14L 18s]]
|[[15L 18s]]
|
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|
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|-
!19
|[[1L 19s]]
|[[2L 19s]]
|[[3L 19s]]
|[[4L 19s]]
|[[5L 19s]]
|[[6L 19s]]
|[[7L 19s]]
|[[8L 19s]]
|[[9L 19s]]
|[[10L 19s]]
|[[11L 19s]]
|[[12L 19s]]
|[[13L 19s]]
|[[14L 19s]]
|
|
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|
|
|
|-
!20
|[[1L 20s]]
|[[2L 20s]]
|[[3L 20s]]
|[[4L 20s]]
|[[5L 20s]]
|[[6L 20s]]
|[[7L 20s]]
|[[8L 20s]]
|[[9L 20s]]
|[[10L 20s]]
|[[11L 20s]]
|[[12L 20s]]
|[[13L 20s]]
|
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|
|
|-
!21
|[[1L 21s]]
|[[2L 21s]]
|[[3L 21s]]
|[[4L 21s]]
|[[5L 21s]]
|[[6L 21s]]
|[[7L 21s]]
|[[8L 21s]]
|[[9L 21s]]
|[[10L 21s]]
|[[11L 21s]]
|[[12L 21s]]
|
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|-
!22
|[[1L 22s]]
|[[2L 22s]]
|[[3L 22s]]
|[[4L 22s]]
|[[5L 22s]]
|[[6L 22s]]
|[[7L 22s]]
|[[8L 22s]]
|[[9L 22s]]
|[[10L 22s]]
|[[11L 22s]]
|
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|-
!23
|[[1L 23s]]
|[[2L 23s]]
|[[3L 23s]]
|[[4L 23s]]
|[[5L 23s]]
|[[6L 23s]]
|[[7L 23s]]
|[[8L 23s]]
|[[9L 23s]]
|[[10L 23s]]
|
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|-
!24
|[[1L 24s]]
|[[2L 24s]]
|[[3L 24s]]
|[[4L 24s]]
|[[5L 24s]]
|[[6L 24s]]
|[[7L 24s]]
|[[8L 24s]]
|[[9L 24s]]
|
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|-
!25
|[[1L 25s]]
|[[2L 25s]]
|[[3L 25s]]
|[[4L 25s]]
|[[5L 25s]]
|[[6L 25s]]
|[[7L 25s]]
|[[8L 25s]]
|
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|
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|
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|-
!26
|[[1L 26s]]
|[[2L 26s]]
|[[3L 26s]]
|[[4L 26s]]
|[[5L 26s]]
|[[6L 26s]]
|[[7L 26s]]
|
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|-
!27
|[[1L 27s]]
|[[2L 27s]]
|[[3L 27s]]
|[[4L 27s]]
|[[5L 27s]]
|[[6L 27s]]
|
|
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|-
!28
|[[1L 28s]]
|[[2L 28s]]
|[[3L 28s]]
|[[4L 28s]]
|[[5L 28s]]
|
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|-
!29
|[[1L 29s]]
|[[2L 29s]]
|[[3L 29s]]
|[[4L 29s]]
|
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|-
!30
|[[1L 30s]]
|[[2L 30s]]
|[[3L 30s]]
|
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|-
!31
|[[1L 31s]]
|[[2L 31s]]
|
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|-
!32
|[[1L 32s]]
|
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|}
=== Catalog of 3/1-equivalent mosses ===
{| class="wikitable mw-collapsible mw-collapsed"
|+3/1-equivalent mosses (up to 20 steps)
! rowspan="2" |Number of small steps
! colspan="19" |Number of large steps
|-
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
|-
!1
|[[1L 1s (3/1-equivalent)|1L 1s⟨3/1⟩]]
|[[2L 1s (3/1-equivalent)|2L 1s⟨3/1⟩]]
|[[3L 1s (3/1-equivalent)|3L 1s⟨3/1⟩]]
|[[4L 1s (3/1-equivalent)|4L 1s⟨3/1⟩]]
|[[5L 1s (3/1-equivalent)|5L 1s⟨3/1⟩]]
|[[6L 1s (3/1-equivalent)|6L 1s⟨3/1⟩]]
|[[7L 1s (3/1-equivalent)|7L 1s⟨3/1⟩]]
|[[8L 1s (3/1-equivalent)|8L 1s⟨3/1⟩]]
|[[9L 1s (3/1-equivalent)|9L 1s⟨3/1⟩]]
|[[10L 1s (3/1-equivalent)|10L 1s⟨3/1⟩]]
|[[11L 1s (3/1-equivalent)|11L 1s⟨3/1⟩]]
|[[12L 1s (3/1-equivalent)|12L 1s⟨3/1⟩]]
|[[13L 1s (3/1-equivalent)|13L 1s⟨3/1⟩]]
|[[14L 1s (3/1-equivalent)|14L 1s⟨3/1⟩]]
|[[15L 1s (3/1-equivalent)|15L 1s⟨3/1⟩]]
|[[16L 1s (3/1-equivalent)|16L 1s⟨3/1⟩]]
|[[17L 1s (3/1-equivalent)|17L 1s⟨3/1⟩]]
|[[18L 1s (3/1-equivalent)|18L 1s⟨3/1⟩]]
|[[19L 1s (3/1-equivalent)|19L 1s⟨3/1⟩]]
|-
!2
|[[1L 2s (3/1-equivalent)|1L 2s⟨3/1⟩]]
|[[2L 2s (3/1-equivalent)|2L 2s⟨3/1⟩]]
|[[3L 2s (3/1-equivalent)|3L 2s⟨3/1⟩]]
|[[4L 2s (3/1-equivalent)|4L 2s⟨3/1⟩]]
|[[5L 2s (3/1-equivalent)|5L 2s⟨3/1⟩]]
|[[6L 2s (3/1-equivalent)|6L 2s⟨3/1⟩]]
|[[7L 2s (3/1-equivalent)|7L 2s⟨3/1⟩]]
|[[8L 2s (3/1-equivalent)|8L 2s⟨3/1⟩]]
|[[9L 2s (3/1-equivalent)|9L 2s⟨3/1⟩]]
|[[10L 2s (3/1-equivalent)|10L 2s⟨3/1⟩]]
|[[11L 2s (3/1-equivalent)|11L 2s⟨3/1⟩]]
|[[12L 2s (3/1-equivalent)|12L 2s⟨3/1⟩]]
|[[13L 2s (3/1-equivalent)|13L 2s⟨3/1⟩]]
|[[14L 2s (3/1-equivalent)|14L 2s⟨3/1⟩]]
|[[15L 2s (3/1-equivalent)|15L 2s⟨3/1⟩]]
|[[16L 2s (3/1-equivalent)|16L 2s⟨3/1⟩]]
|[[17L 2s (3/1-equivalent)|17L 2s⟨3/1⟩]]
|[[18L 2s (3/1-equivalent)|18L 2s⟨3/1⟩]]
|
|-
!3
|[[1L 3s (3/1-equivalent)|1L 3s⟨3/1⟩]]
|[[2L 3s (3/1-equivalent)|2L 3s⟨3/1⟩]]
|[[3L 3s (3/1-equivalent)|3L 3s⟨3/1⟩]]
|[[4L 3s (3/1-equivalent)|4L 3s⟨3/1⟩]]
|[[5L 3s (3/1-equivalent)|5L 3s⟨3/1⟩]]
|[[6L 3s (3/1-equivalent)|6L 3s⟨3/1⟩]]
|[[7L 3s (3/1-equivalent)|7L 3s⟨3/1⟩]]
|[[8L 3s (3/1-equivalent)|8L 3s⟨3/1⟩]]
|[[9L 3s (3/1-equivalent)|9L 3s⟨3/1⟩]]
|[[10L 3s (3/1-equivalent)|10L 3s⟨3/1⟩]]
|[[11L 3s (3/1-equivalent)|11L 3s⟨3/1⟩]]
|[[12L 3s (3/1-equivalent)|12L 3s⟨3/1⟩]]
|[[13L 3s (3/1-equivalent)|13L 3s⟨3/1⟩]]
|[[14L 3s (3/1-equivalent)|14L 3s⟨3/1⟩]]
|[[15L 3s (3/1-equivalent)|15L 3s⟨3/1⟩]]
|[[16L 3s (3/1-equivalent)|16L 3s⟨3/1⟩]]
|[[17L 3s (3/1-equivalent)|17L 3s⟨3/1⟩]]
|
|
|-
!4
|[[1L 4s (3/1-equivalent)|1L 4s⟨3/1⟩]]
|[[2L 4s (3/1-equivalent)|2L 4s⟨3/1⟩]]
|[[3L 4s (3/1-equivalent)|3L 4s⟨3/1⟩]]
|[[4L 4s (3/1-equivalent)|4L 4s⟨3/1⟩]]
|[[5L 4s (3/1-equivalent)|5L 4s⟨3/1⟩]]
|[[6L 4s (3/1-equivalent)|6L 4s⟨3/1⟩]]
|[[7L 4s (3/1-equivalent)|7L 4s⟨3/1⟩]]
|[[8L 4s (3/1-equivalent)|8L 4s⟨3/1⟩]]
|[[9L 4s (3/1-equivalent)|9L 4s⟨3/1⟩]]
|[[10L 4s (3/1-equivalent)|10L 4s⟨3/1⟩]]
|[[11L 4s (3/1-equivalent)|11L 4s⟨3/1⟩]]
|[[12L 4s (3/1-equivalent)|12L 4s⟨3/1⟩]]
|[[13L 4s (3/1-equivalent)|13L 4s⟨3/1⟩]]
|[[14L 4s (3/1-equivalent)|14L 4s⟨3/1⟩]]
|[[15L 4s (3/1-equivalent)|15L 4s⟨3/1⟩]]
|[[16L 4s (3/1-equivalent)|16L 4s⟨3/1⟩]]
|
|
|
|-
!5
|[[1L 5s (3/1-equivalent)|1L 5s⟨3/1⟩]]
|[[2L 5s (3/1-equivalent)|2L 5s⟨3/1⟩]]
|[[3L 5s (3/1-equivalent)|3L 5s⟨3/1⟩]]
|[[4L 5s (3/1-equivalent)|4L 5s⟨3/1⟩]]
|[[5L 5s (3/1-equivalent)|5L 5s⟨3/1⟩]]
|[[6L 5s (3/1-equivalent)|6L 5s⟨3/1⟩]]
|[[7L 5s (3/1-equivalent)|7L 5s⟨3/1⟩]]
|[[8L 5s (3/1-equivalent)|8L 5s⟨3/1⟩]]
|[[9L 5s (3/1-equivalent)|9L 5s⟨3/1⟩]]
|[[10L 5s (3/1-equivalent)|10L 5s⟨3/1⟩]]
|[[11L 5s (3/1-equivalent)|11L 5s⟨3/1⟩]]
|[[12L 5s (3/1-equivalent)|12L 5s⟨3/1⟩]]
|[[13L 5s (3/1-equivalent)|13L 5s⟨3/1⟩]]
|[[14L 5s (3/1-equivalent)|14L 5s⟨3/1⟩]]
|[[15L 5s (3/1-equivalent)|15L 5s⟨3/1⟩]]
|
|
|
|
|-
!6
|[[1L 6s (3/1-equivalent)|1L 6s⟨3/1⟩]]
|[[2L 6s (3/1-equivalent)|2L 6s⟨3/1⟩]]
|[[3L 6s (3/1-equivalent)|3L 6s⟨3/1⟩]]
|[[4L 6s (3/1-equivalent)|4L 6s⟨3/1⟩]]
|[[5L 6s (3/1-equivalent)|5L 6s⟨3/1⟩]]
|[[6L 6s (3/1-equivalent)|6L 6s⟨3/1⟩]]
|[[7L 6s (3/1-equivalent)|7L 6s⟨3/1⟩]]
|[[8L 6s (3/1-equivalent)|8L 6s⟨3/1⟩]]
|[[9L 6s (3/1-equivalent)|9L 6s⟨3/1⟩]]
|[[10L 6s (3/1-equivalent)|10L 6s⟨3/1⟩]]
|[[11L 6s (3/1-equivalent)|11L 6s⟨3/1⟩]]
|[[12L 6s (3/1-equivalent)|12L 6s⟨3/1⟩]]
|[[13L 6s (3/1-equivalent)|13L 6s⟨3/1⟩]]
|[[14L 6s (3/1-equivalent)|14L 6s⟨3/1⟩]]
|
|
|
|
|
|-
!7
|[[1L 7s (3/1-equivalent)|1L 7s⟨3/1⟩]]
|[[2L 7s (3/1-equivalent)|2L 7s⟨3/1⟩]]
|[[3L 7s (3/1-equivalent)|3L 7s⟨3/1⟩]]
|[[4L 7s (3/1-equivalent)|4L 7s⟨3/1⟩]]
|[[5L 7s (3/1-equivalent)|5L 7s⟨3/1⟩]]
|[[6L 7s (3/1-equivalent)|6L 7s⟨3/1⟩]]
|[[7L 7s (3/1-equivalent)|7L 7s⟨3/1⟩]]
|[[8L 7s (3/1-equivalent)|8L 7s⟨3/1⟩]]
|[[9L 7s (3/1-equivalent)|9L 7s⟨3/1⟩]]
|[[10L 7s (3/1-equivalent)|10L 7s⟨3/1⟩]]
|[[11L 7s (3/1-equivalent)|11L 7s⟨3/1⟩]]
|[[12L 7s (3/1-equivalent)|12L 7s⟨3/1⟩]]
|[[13L 7s (3/1-equivalent)|13L 7s⟨3/1⟩]]
|
|
|
|
|
|
|-
!8
|[[1L 8s (3/1-equivalent)|1L 8s⟨3/1⟩]]
|[[2L 8s (3/1-equivalent)|2L 8s⟨3/1⟩]]
|[[3L 8s (3/1-equivalent)|3L 8s⟨3/1⟩]]
|[[4L 8s (3/1-equivalent)|4L 8s⟨3/1⟩]]
|[[5L 8s (3/1-equivalent)|5L 8s⟨3/1⟩]]
|[[6L 8s (3/1-equivalent)|6L 8s⟨3/1⟩]]
|[[7L 8s (3/1-equivalent)|7L 8s⟨3/1⟩]]
|[[8L 8s (3/1-equivalent)|8L 8s⟨3/1⟩]]
|[[9L 8s (3/1-equivalent)|9L 8s⟨3/1⟩]]
|[[10L 8s (3/1-equivalent)|10L 8s⟨3/1⟩]]
|[[11L 8s (3/1-equivalent)|11L 8s⟨3/1⟩]]
|[[12L 8s (3/1-equivalent)|12L 8s⟨3/1⟩]]
|
|
|
|
|
|
|
|-
!9
|[[1L 9s (3/1-equivalent)|1L 9s⟨3/1⟩]]
|[[2L 9s (3/1-equivalent)|2L 9s⟨3/1⟩]]
|[[3L 9s (3/1-equivalent)|3L 9s⟨3/1⟩]]
|[[4L 9s (3/1-equivalent)|4L 9s⟨3/1⟩]]
|[[5L 9s (3/1-equivalent)|5L 9s⟨3/1⟩]]
|[[6L 9s (3/1-equivalent)|6L 9s⟨3/1⟩]]
|[[7L 9s (3/1-equivalent)|7L 9s⟨3/1⟩]]
|[[8L 9s (3/1-equivalent)|8L 9s⟨3/1⟩]]
|[[9L 9s (3/1-equivalent)|9L 9s⟨3/1⟩]]
|[[10L 9s (3/1-equivalent)|10L 9s⟨3/1⟩]]
|[[11L 9s (3/1-equivalent)|11L 9s⟨3/1⟩]]
|
|
|
|
|
|
|
|
|-
!10
|[[1L 10s (3/1-equivalent)|1L 10s⟨3/1⟩]]
|[[2L 10s (3/1-equivalent)|2L 10s⟨3/1⟩]]
|[[3L 10s (3/1-equivalent)|3L 10s⟨3/1⟩]]
|[[4L 10s (3/1-equivalent)|4L 10s⟨3/1⟩]]
|[[5L 10s (3/1-equivalent)|5L 10s⟨3/1⟩]]
|[[6L 10s (3/1-equivalent)|6L 10s⟨3/1⟩]]
|[[7L 10s (3/1-equivalent)|7L 10s⟨3/1⟩]]
|[[8L 10s (3/1-equivalent)|8L 10s⟨3/1⟩]]
|[[9L 10s (3/1-equivalent)|9L 10s⟨3/1⟩]]
|[[10L 10s (3/1-equivalent)|10L 10s⟨3/1⟩]]
|
|
|
|
|
|
|
|
|
|-
!11
|[[1L 11s (3/1-equivalent)|1L 11s⟨3/1⟩]]
|[[2L 11s (3/1-equivalent)|2L 11s⟨3/1⟩]]
|[[3L 11s (3/1-equivalent)|3L 11s⟨3/1⟩]]
|[[4L 11s (3/1-equivalent)|4L 11s⟨3/1⟩]]
|[[5L 11s (3/1-equivalent)|5L 11s⟨3/1⟩]]
|[[6L 11s (3/1-equivalent)|6L 11s⟨3/1⟩]]
|[[7L 11s (3/1-equivalent)|7L 11s⟨3/1⟩]]
|[[8L 11s (3/1-equivalent)|8L 11s⟨3/1⟩]]
|[[9L 11s (3/1-equivalent)|9L 11s⟨3/1⟩]]
|
|
|
|
|
|
|
|
|
|
|-
!12
|[[1L 12s (3/1-equivalent)|1L 12s⟨3/1⟩]]
|[[2L 12s (3/1-equivalent)|2L 12s⟨3/1⟩]]
|[[3L 12s (3/1-equivalent)|3L 12s⟨3/1⟩]]
|[[4L 12s (3/1-equivalent)|4L 12s⟨3/1⟩]]
|[[5L 12s (3/1-equivalent)|5L 12s⟨3/1⟩]]
|[[6L 12s (3/1-equivalent)|6L 12s⟨3/1⟩]]
|[[7L 12s (3/1-equivalent)|7L 12s⟨3/1⟩]]
|[[8L 12s (3/1-equivalent)|8L 12s⟨3/1⟩]]
|
|
|
|
|
|
|
|
|
|
|
|-
!13
|[[1L 13s (3/1-equivalent)|1L 13s⟨3/1⟩]]
|[[2L 13s (3/1-equivalent)|2L 13s⟨3/1⟩]]
|[[3L 13s (3/1-equivalent)|3L 13s⟨3/1⟩]]
|[[4L 13s (3/1-equivalent)|4L 13s⟨3/1⟩]]
|[[5L 13s (3/1-equivalent)|5L 13s⟨3/1⟩]]
|[[6L 13s (3/1-equivalent)|6L 13s⟨3/1⟩]]
|[[7L 13s (3/1-equivalent)|7L 13s⟨3/1⟩]]
|
|
|
|
|
|
|
|
|
|
|
|
|-
!14
|[[1L 14s (3/1-equivalent)|1L 14s⟨3/1⟩]]
|[[2L 14s (3/1-equivalent)|2L 14s⟨3/1⟩]]
|[[3L 14s (3/1-equivalent)|3L 14s⟨3/1⟩]]
|[[4L 14s (3/1-equivalent)|4L 14s⟨3/1⟩]]
|[[5L 14s (3/1-equivalent)|5L 14s⟨3/1⟩]]
|[[6L 14s (3/1-equivalent)|6L 14s⟨3/1⟩]]
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
!15
|[[1L 15s (3/1-equivalent)|1L 15s⟨3/1⟩]]
|[[2L 15s (3/1-equivalent)|2L 15s⟨3/1⟩]]
|[[3L 15s (3/1-equivalent)|3L 15s⟨3/1⟩]]
|[[4L 15s (3/1-equivalent)|4L 15s⟨3/1⟩]]
|[[5L 15s (3/1-equivalent)|5L 15s⟨3/1⟩]]
|
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|
|-
!16
|[[1L 16s (3/1-equivalent)|1L 16s⟨3/1⟩]]
|[[2L 16s (3/1-equivalent)|2L 16s⟨3/1⟩]]
|[[3L 16s (3/1-equivalent)|3L 16s⟨3/1⟩]]
|[[4L 16s (3/1-equivalent)|4L 16s⟨3/1⟩]]
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|-
!17
|[[1L 17s (3/1-equivalent)|1L 17s⟨3/1⟩]]
|[[2L 17s (3/1-equivalent)|2L 17s⟨3/1⟩]]
|[[3L 17s (3/1-equivalent)|3L 17s⟨3/1⟩]]
|
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|-
!18
|[[1L 18s (3/1-equivalent)|1L 18s⟨3/1⟩]]
|[[2L 18s (3/1-equivalent)|2L 18s⟨3/1⟩]]
|
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|-
!19
|[[1L 19s (3/1-equivalent)|1L 19s⟨3/1⟩]]
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|}
=== Catalog of 3/2-equivalent mosses ===
{| class="wikitable mw-collapsible mw-collapsed"
|+3/2-equivalent mosses (up to 7 steps)
! rowspan="2" |Number of small steps
! colspan="6" |Number of large steps
|-
!1
!2
!3
!4
!5
!6
|-
!1
|[[1L&nbsp;1s (3/2-equivalent)|1L&nbsp;1s⟨3/2⟩]]
|[[2L&nbsp;1s (3/2-equivalent)|2L&nbsp;1s⟨3/2⟩]]
|[[3L&nbsp;1s (3/2-equivalent)|3L&nbsp;1s⟨3/2⟩]]
|[[4L&nbsp;1s (3/2-equivalent)|4L&nbsp;1s⟨3/2⟩]]
|[[5L&nbsp;1s (3/2-equivalent)|5L&nbsp;1s⟨3/2⟩]]
|[[6L&nbsp;1s (3/2-equivalent)|6L&nbsp;1s⟨3/2⟩]]
|-
!2
|[[1L&nbsp;2s (3/2-equivalent)|1L&nbsp;2s⟨3/2⟩]]
|[[2L&nbsp;2s (3/2-equivalent)|2L&nbsp;2s⟨3/2⟩]]
|[[3L&nbsp;2s (3/2-equivalent)|3L&nbsp;2s⟨3/2⟩]]
|[[4L&nbsp;2s (3/2-equivalent)|4L&nbsp;2s⟨3/2⟩]]
|[[5L&nbsp;2s (3/2-equivalent)|5L&nbsp;2s⟨3/2⟩]]
|
|-
!3
|[[1L&nbsp;3s (3/2-equivalent)|1L&nbsp;3s⟨3/2⟩]]
|[[2L&nbsp;3s (3/2-equivalent)|2L&nbsp;3s⟨3/2⟩]]
|[[3L&nbsp;3s (3/2-equivalent)|3L&nbsp;3s⟨3/2⟩]]
|[[4L&nbsp;3s (3/2-equivalent)|4L&nbsp;3s⟨3/2⟩]]
|
|
|-
!4
|[[1L&nbsp;4s (3/2-equivalent)|1L&nbsp;4s⟨3/2⟩]]
|[[2L&nbsp;4s (3/2-equivalent)|2L&nbsp;4s⟨3/2⟩]]
|[[3L&nbsp;4s (3/2-equivalent)|3L&nbsp;4s⟨3/2⟩]]
|
|
|
|-
!5
|[[1L&nbsp;5s (3/2-equivalent)|1L&nbsp;5s⟨3/2⟩]]
|[[2L&nbsp;5s (3/2-equivalent)|2L&nbsp;5s⟨3/2⟩]]
|
|
|
|
|-
!6
|[[1L&nbsp;6s (3/2-equivalent)|1L&nbsp;6s⟨3/2⟩]]
|
|
|
|
|
|}
== MOS pages not listed above ==
''See also: [[:Category:Abstract MOS patterns]]''
* [[9L 29s]]
* [[7L 34s]]
* [[12L 29s]]
* [[12L 41s]]
* [[41L 12s]]
* [[5L 2s (4/1-equivalent)]]
* [[7L 3s (4/1-equivalent)]]
* [[4L 6s (5/1-equivalent)]]
* [[5L 3s (5/2-equivalent)]]
* [[7L 2s (5/2-equivalent)]]
* [[4L 1s (5/3-equivalent)]]
* [[2L 5s (5/3-equivalent)]]
* [[5L 2s (5/3-equivalent)]]
* [[5L 2s (8/3-equivalent)]]
* [[7L 3s (8/3-equivalent)]]
* [[3L 2s (8/5-equivalent)]]
* [[14L 22s (12/1-equivalent)]]
* [[10L 3s (19/9-equivalent)]]


== See also ==
== See also ==
* [[User:Ganaram inukshuk/Catalog of MOS Scales]]: A work-in-progress (WIP) updated version of this page
* [[Map of linear temperaments]]
 
{{Navbox scale gallery}}


[[Category:Lists of scales]]
[[Category:Lists of scales]]
[[Category:MOS scales]]
[[Category:MOS scales]]