Catalog of MOS: Difference between revisions
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{{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]]. | |||
See the page [[MOS scale]] for a proper explanation. | |||
== 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" | {| class="wikitable" | ||
|- | |- | ||
| | [[ | ! rowspan="2" |Note count | ||
| | | ! colspan="14" |Total number of large steps | ||
| | | |- | ||
| | | !1 | ||
| | | !2 | ||
| | | !3 | ||
| | | !4 | ||
| | | !5 | ||
| | | !6 | ||
| | | !7 | ||
| | | !8 | ||
| | | !9 | ||
| | | !10 | ||
| | [[ | !11 | ||
| | !12 | ||
!13 | |||
| | | !14 | ||
| | | |- | ||
| | | | rowspan="2" |Trivial mosses | ||
| | | |[[1L 1s]] | ||
| | | | | ||
| | | | | ||
| | | | | ||
| | | | | ||
| | | | | ||
| | | | | ||
| | | | | ||
| | | | | ||
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| | |||
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|- | |||
|[[1L 2s]] | |||
|[[2L 1s]] | |||
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|- | |||
|Tetratonic mosses | |||
|[[1L 3s]] | |||
|'''[[2L 2s]]''' | |||
|[[3L 1s]] | |||
| | |||
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|- | |||
|Pentatonic mosses | |||
|[[1L 4s]] | |||
|[[2L 3s]] | |||
|[[3L 2s]] | |||
|[[4L 1s]] | |||
| | |||
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|- | |- | ||
| | |Hexatonic mosses | ||
|[[1L 5s]] | |||
|'''[[2L 4s]]''' | |||
|'''[[3L 3s]]''' | |||
|'''[[4L 2s]]''' | |||
|[[5L 1s]] | |||
| | |||
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|- | |- | ||
| | |Heptatonic mosses | ||
|[[1L 6s]] | |||
|[[2L 5s]] | |||
|[[3L 4s]] | |||
|[[4L 3s]] | |||
|[[5L 2s]] | |||
|[[6L 1s]] | |||
| | |||
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|- | |- | ||
| | |Octatonic mosses | ||
|[[1L 7s]] | |||
|'''[[2L 6s]]''' | |||
|[[3L 5s]] | |||
|'''[[4L 4s]]''' | |||
|[[5L 3s]] | |||
|'''[[6L 2s]]''' | |||
|[[7L 1s]] | |||
| | |||
| | | | ||
| | |||
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| | | | ||
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|- | |- | ||
| | |Enneatonic mosses | ||
|[[1L 8s]] | |||
|[[2L 7s]] | |||
|'''[[3L 6s]]''' | |||
|[[4L 5s]] | |||
|[[5L 4s]] | |||
|'''[[6L 3s]]''' | |||
|[[7L 2s]] | |||
|[[8L 1s]] | |||
| | |||
| | | | ||
| | |||
| | |||
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| | |||
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|- | |- | ||
| | |Decatonic mosses | ||
|[[1L 9s]] | |||
|'''[[2L 8s]]''' | |||
|[[3L 7s]] | |||
|'''[[4L 6s]]''' | |||
|'''[[5L 5s]]''' | |||
|'''[[6L 4s]]''' | |||
| | |[[7L 3s]] | ||
|'''[[8L 2s]]''' | |||
|[[9L 1s]] | |||
| | |||
| | | | ||
| | |||
| | | | ||
| | |||
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|- | |- | ||
| | |Hendecatonic mosses | ||
|[[1L 10s]] | |||
|[[2L 9s]] | |||
|[[3L 8s]] | |||
|[[4L 7s]] | |||
|[[5L 6s]] | |||
|[[6L 5s]] | |||
|[[7L 4s]] | |||
|[[8L 3s]] | |||
|[[9L 2s]] | |||
|[[10L 1s]] | |||
| | |||
| | |||
| | |||
| | |||
|- | |- | ||
| | |Dodecatonic mosses | ||
|[[1L 11s]] | |||
|'''[[2L 10s]]''' | |||
|'''[[3L 9s]]''' | |||
|'''[[4L 8s]]''' | |||
| | |[[5L 7s]] | ||
|'''[[6L 6s]]''' | |||
| | |[[7L 5s]] | ||
|'''[[8L 4s]]''' | |||
| | |'''[[9L 3s]]''' | ||
|'''[[10L 2s]]''' | |||
|[[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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|} | |} | ||
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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 | == Browse MOS by temperament == | ||
{| class="wikitable mw-collapsible" style="width: 100%;" | |||
|+ | |||
Table of mosses by associated temperament | |||
|- | |||
! 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 3s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Machine[11], Baldy[11] [[6L 5s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Slendric[11] [[5L 6s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Keemun[11] [[4L 7s]]</span> | |||
|- | |||
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Dodecatonic | |||
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Passion[12], Ripple[12] [[11L 1s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Pajara[12] [[10L 2s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">August[12] [[9L 3s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Meantone[12] [[7L 5s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Hexe[12] [[6L 6s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Superpyth[12] [[5L 7s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Diminished[12] [[4L 8s]]</span> •<!-- | |||
'' | --> <span style="white-space: nowrap;">Augene[12] [[3L 9s]]</span> •<!-- | ||
--> <span style="white-space: nowrap;">Injera[12] [[2L 10s]]</span> | |||
|- | |||
! 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> | |||
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Heinz[13] [[11L 2s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">[[Sephiroth13]] [[10L 3s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Orwell[13] [[9L 4s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">[[Tridec13]] [[8L 5s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Tetracot[13] [[7L 6s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">[[leantone13]] [[6L 7s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Semisept[13] [[5L 8s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Huxley[13], Lovecraft[13] [[4L 9s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Magic[13] [[3L 10s]]</span> | |||
|- | |||
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Tetradecatonic | |||
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Octacot[14] [[13L 1s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Injera[14] [[12L 2s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Ketradektriatoh[14] [[11L 3s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Superpelog[14] [[9L 5s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Whitewood[14] [[7L 7s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Godzilla[14] [[5L 9s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Doublewide[14] [[4L 10s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Squares[14] [[3L 11s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Nautilus[14] [[1L 13s]]</span> | |||
|- | |||
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Pentadecatonic | |||
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Nautilus[15] [[14L 1s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Kangaroo[15] [[13L 2s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Superkleismic[15] [[11L 4s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Augene[15] [[12L 3s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Blacksmith[15] [[10L 5s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Triforce[15] [[9L 6s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Opossum[15] [[8L 7s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Porcupine[15] [[7L 8s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Terrain[15] [[6L 9s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Myna[15], Keemun[15] [[4L 11s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Progress[15] [[2L 13s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Valentine[15] [[1L 14s]]</span> | |||
|- | |||
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Hexadecatonic | |||
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Valentine[16] [[15L 1s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Kumonga[16] [[11L 5s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Lemba[16] [[10L 6s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Mavila[16] [[9L 7s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Mavila[16], Marvo[16], Gravity[16] [[7L 9s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Wizard[16] [[6L 10s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Mothra[16], Shoe[16] [[5L 11s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Magic[16] [[3L 13s]]</span> | |||
|- | |||
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Septadecatonic | |||
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Progress[17] [[15L 2s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Squares[17] [[14L 3s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Garibaldi[17] [[12L 5s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Machine[17] [[11L 6s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Beatles[17] [[10L 7s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Bleu[17], Blue[17], Progression[17], Doublethink[17] [[9L 8s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Indium[17], Bohpier[17] [[8L 9s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Mohajira[17] [[7L 10s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Baldy[17] [[6L 11s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Superpyth[17] [[5L 12s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Roman[17] [[3L 14s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Tritonic[17] [[2L 15s]]</span> | |||
|- | |||
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Octodecatonic | |||
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">A-team[18] [[13L 5s]]</span> | |||
|- | |||
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Enneadecatonic | |||
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Liese[19] [[17L 2s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Muggles[19] [[16L 3s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Keemun[19] [[15L 4s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">2-Flattone[19] [[13L 6s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Meantone[19] [[12L 7s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Clyde[19] [[11L 8s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Negri[19] [[10L 9s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Twothirdtonic[19] [[9L 10s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Sensi[19] [[8L 11s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Flattone[19] [[7L 12s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Hemiwuerschmidt[19] [[6L 13s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Semaphore[19], Godzilla[19] [[5L 14s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Myna[19] [[4L 15s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Magic[19] [[3L 16s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Tritonic[19] [[2L 17s]]</span> | |||
|- | |||
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Icositonic | |||
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Bossier[20] [[17L 3s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Mitonic[20] [[13L 7s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Casablanca[20] [[11L 9s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Avila[20] [[9L 11s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Tetracot[20] [[7L 13s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Roman[20] [[3L 17s]]</span> | |||
|- | |||
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Icosihentonic | |||
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Shoe[21] [[16L 5s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Miracle[21] [[10L 11s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Tridec[21] [[8L 13s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Rodan[21] [[5L 16s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Tritonic[21] [[2L 19s]]</span> | |||
|- | |||
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Icosidyotonic | |||
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Magic[22] [[19L 3s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Supra[22] [[17L 5s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Porcupine[22] [[15L 7s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Diaschismic[22] [[12L 10s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Orwell[22] [[9L 13s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Coendou[22] [[7L 15s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Wizard[22] [[6L 16s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Superpyth[22] [[5L 17s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Wuerschmidt[22] [[3L 19s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Shrutar[22] [[2L 20s]]</span> | |||
|- | |||
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Icositritonic | |||
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Barbad[23] [[18L 5s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Hemikleismic[23] [[15L 8s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Unidec[23] [[13L 10s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Ripple[23] [[12L 11s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Passion[23] [[11L 12s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Sephiroth[23] [[10L 13s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Greeley[23] [[8L 15s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Baldy[23] [[6L 17s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Roman[23] [[3L 20s]]</span> | |||
|- | |||
! scope="row" style="text-align: left; white-space: nowrap; width: 1%; padding: 0.4em 0.8em;" | Icositetratonic and above | |||
| style="padding: 0.4em 0.8em;" | <span style="white-space: nowrap;">Godzilla[24] [[19L 5s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Hemififths[24] [[17L 7s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Mohajira[24] [[7L 17s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Semaphore[24] [[5L 19s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Hemimagic[25] [[19L 6s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Luna[25] [[6L 19s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Superpyth[27] [[22L 5s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Sensi[27] [[19L 8s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Ennealimmal[27] [[18L 9s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Octacot[27] narrow [[14L 13s]], wide [[13L 14s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Niner[27] [[9L 18s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Ultrapyth[27] [[5L 22s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Leapday[29], Grackle[29] [[17L 12s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Garibaldi[29] [[12L 17s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Tridec[29] [[8L 21s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Clyde[30] [[19L 11s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Luna[31] [[25L 6s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Meanpop[31] [[19L 12s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Squares[31] [[17L 14s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Grosstone[31] [[12L 19s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Miracle[31] [[10L 21s]]</span> •<!-- | |||
--> <span style="white-space: nowrap;">Roulette[31] [[6L 25s]]</span> | |||
|} | |||
== Browse MOS by EDO == | == Browse MOS by EDO == | ||
'''Summary pages''' | '''Summary pages''' | ||
(May load slowly on phones) | (May load slowly on phones) | ||
* [[List of MOS scales in edos 5 to 30]] | * [[List of MOS scales in edos 5 to 30]] | ||
* [[List of MOS scales in edos 31 to 45]] | * [[List of MOS scales in edos 31 to 45]] | ||
* [[List of MOS scales in edos 46 to 55]] | * [[List of MOS scales in edos 46 to 55]] | ||
'''Individual pages''' | '''Individual pages''' | ||
{| class="wikitable center-all" | |||
|+ style=white-space:nowrap | | {| class="wikitable center-all mw-collapsible" | ||
|+ style="font-size: 105%; white-space: nowrap;" | Lists of MOS scales in n-edo | |||
|- | |||
| [[List of MOS scales in 0edo|0]] | | [[List of MOS scales in 0edo|0]] | ||
| [[List of MOS scales in 1edo|1]] | | [[List of MOS scales in 1edo|1]] | ||
| Line 724: | 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]] | |||
| | |||
| | |||
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| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
!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]] | |||
| | |||
| | |||
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| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
!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]] | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
!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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| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
!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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| | |||
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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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|- | |||
!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⟩]] | |||
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|- | |||
!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⟩]] | |||
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|- | |||
!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⟩]] | |||
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|- | |||
!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 1s (3/2-equivalent)|1L 1s⟨3/2⟩]] | |||
|[[2L 1s (3/2-equivalent)|2L 1s⟨3/2⟩]] | |||
|[[3L 1s (3/2-equivalent)|3L 1s⟨3/2⟩]] | |||
|[[4L 1s (3/2-equivalent)|4L 1s⟨3/2⟩]] | |||
|[[5L 1s (3/2-equivalent)|5L 1s⟨3/2⟩]] | |||
|[[6L 1s (3/2-equivalent)|6L 1s⟨3/2⟩]] | |||
|- | |||
!2 | |||
|[[1L 2s (3/2-equivalent)|1L 2s⟨3/2⟩]] | |||
|[[2L 2s (3/2-equivalent)|2L 2s⟨3/2⟩]] | |||
|[[3L 2s (3/2-equivalent)|3L 2s⟨3/2⟩]] | |||
|[[4L 2s (3/2-equivalent)|4L 2s⟨3/2⟩]] | |||
|[[5L 2s (3/2-equivalent)|5L 2s⟨3/2⟩]] | |||
| | |||
|- | |||
!3 | |||
|[[1L 3s (3/2-equivalent)|1L 3s⟨3/2⟩]] | |||
|[[2L 3s (3/2-equivalent)|2L 3s⟨3/2⟩]] | |||
|[[3L 3s (3/2-equivalent)|3L 3s⟨3/2⟩]] | |||
|[[4L 3s (3/2-equivalent)|4L 3s⟨3/2⟩]] | |||
| | |||
| | |||
|- | |||
!4 | |||
|[[1L 4s (3/2-equivalent)|1L 4s⟨3/2⟩]] | |||
|[[2L 4s (3/2-equivalent)|2L 4s⟨3/2⟩]] | |||
|[[3L 4s (3/2-equivalent)|3L 4s⟨3/2⟩]] | |||
| | |||
| | |||
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|- | |||
!5 | |||
|[[1L 5s (3/2-equivalent)|1L 5s⟨3/2⟩]] | |||
|[[2L 5s (3/2-equivalent)|2L 5s⟨3/2⟩]] | |||
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|- | |||
!6 | |||
|[[1L 6s (3/2-equivalent)|1L 6s⟨3/2⟩]] | |||
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|} | |||
== 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 == | ||
* [[ | * [[Map of linear temperaments]] | ||
{{Navbox scale gallery}} | |||
[[Category:Lists of scales]] | [[Category:Lists of scales]] | ||
[[Category:MOS scales]] | [[Category:MOS scales]] | ||