Catalog of MOS: Difference between revisions

Latest revision as of 10:18, 30 September 2026

This page presents an extensive gallery of MOS scales, 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 systems.

See the page MOS scale for a proper explanation.

Mosses by total note count

Mosses in bold have 2 or more periods 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).

Note count	Total number of large steps
Note count	1	2	3	4	5	6	7	8	9	10	11	12	13	14
Trivial mosses	1L 1s
Trivial mosses	1L 2s	2L 1s
Tetratonic mosses	1L 3s	2L 2s	3L 1s
Pentatonic mosses	1L 4s	2L 3s	3L 2s	4L 1s
Hexatonic mosses	1L 5s	2L 4s	3L 3s	4L 2s	5L 1s
Heptatonic mosses	1L 6s	2L 5s	3L 4s	4L 3s	5L 2s	6L 1s
Octatonic mosses	1L 7s	2L 6s	3L 5s	4L 4s	5L 3s	6L 2s	7L 1s
Enneatonic mosses	1L 8s	2L 7s	3L 6s	4L 5s	5L 4s	6L 3s	7L 2s	8L 1s
Decatonic mosses	1L 9s	2L 8s	3L 7s	4L 6s	5L 5s	6L 4s	7L 3s	8L 2s	9L 1s
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

Listen

This is an algorithmically generated recording of every MOS scale that has 14 or fewer notes (tetradecatonic) for a total of 91 scales being showcased here. Each MOS scale played has its simplest step ratio (large step is 2 small step is 1) and therefore is inside the smallest EDO that can support it. Each MOS scale is also in its brightest mode. And rhythmically, each scale is being played with its respective MOS rhythm. Note that changing the mode or step ratio of any of these MOSes may dramatically alter the sound and therefore this recording is not thoroughly representative of each MOS but rather a small taste.

Browse MOS by temperament

Table of mosses by associated temperament
Hendecatonic	Sensi[11] 8L 3s • Machine[11], Baldy[11] 6L 5s • Slendric[11] 5L 6s • Keemun[11] 4L 7s
Dodecatonic	Passion[12], Ripple[12] 11L 1s • Pajara[12] 10L 2s • August[12] 9L 3s • Meantone[12] 7L 5s • Hexe[12] 6L 6s • Superpyth[12] 5L 7s • Diminished[12] 4L 8s • Augene[12] 3L 9s • Injera[12] 2L 10s
Tridecatonic also see Tridecatonic MOS	Heinz[13] 11L 2s • Sephiroth13 10L 3s • Orwell[13] 9L 4s • Tridec13 8L 5s • Tetracot[13] 7L 6s • leantone13 6L 7s • Semisept[13] 5L 8s • Huxley[13], Lovecraft[13] 4L 9s • Magic[13] 3L 10s
Tetradecatonic	Octacot[14] 13L 1s • Injera[14] 12L 2s • Ketradektriatoh[14] 11L 3s • Superpelog[14] 9L 5s • Whitewood[14] 7L 7s • Godzilla[14] 5L 9s • Doublewide[14] 4L 10s • Squares[14] 3L 11s • Nautilus[14] 1L 13s
Pentadecatonic	Nautilus[15] 14L 1s • Kangaroo[15] 13L 2s • Superkleismic[15] 11L 4s • Augene[15] 12L 3s • Blacksmith[15] 10L 5s • Triforce[15] 9L 6s • Opossum[15] 8L 7s • Porcupine[15] 7L 8s • Terrain[15] 6L 9s • Myna[15], Keemun[15] 4L 11s • Progress[15] 2L 13s • Valentine[15] 1L 14s
Hexadecatonic	Valentine[16] 15L 1s • Kumonga[16] 11L 5s • Lemba[16] 10L 6s • Mavila[16] 9L 7s • Mavila[16], Marvo[16], Gravity[16] 7L 9s • Wizard[16] 6L 10s • Mothra[16], Shoe[16] 5L 11s • Magic[16] 3L 13s
Septadecatonic	Progress[17] 15L 2s • Squares[17] 14L 3s • Garibaldi[17] 12L 5s • Machine[17] 11L 6s • Beatles[17] 10L 7s • Bleu[17], Blue[17], Progression[17], Doublethink[17] 9L 8s • Indium[17], Bohpier[17] 8L 9s • Mohajira[17] 7L 10s • Baldy[17] 6L 11s • Superpyth[17] 5L 12s • Roman[17] 3L 14s • Tritonic[17] 2L 15s
Octodecatonic	A-team[18] 13L 5s
Enneadecatonic	Liese[19] 17L 2s • Muggles[19] 16L 3s • Keemun[19] 15L 4s • 2-Flattone[19] 13L 6s • Meantone[19] 12L 7s • Clyde[19] 11L 8s • Negri[19] 10L 9s • Twothirdtonic[19] 9L 10s • Sensi[19] 8L 11s • Flattone[19] 7L 12s • Hemiwuerschmidt[19] 6L 13s • Semaphore[19], Godzilla[19] 5L 14s • Myna[19] 4L 15s • Magic[19] 3L 16s • Tritonic[19] 2L 17s
Icositonic	Bossier[20] 17L 3s • Mitonic[20] 13L 7s • Casablanca[20] 11L 9s • Avila[20] 9L 11s • Tetracot[20] 7L 13s • Roman[20] 3L 17s
Icosihentonic	Shoe[21] 16L 5s • Miracle[21] 10L 11s • Tridec[21] 8L 13s • Rodan[21] 5L 16s • Tritonic[21] 2L 19s
Icosidyotonic	Magic[22] 19L 3s • Supra[22] 17L 5s • Porcupine[22] 15L 7s • Diaschismic[22] 12L 10s • Orwell[22] 9L 13s • Coendou[22] 7L 15s • Wizard[22] 6L 16s • Superpyth[22] 5L 17s • Wuerschmidt[22] 3L 19s • Shrutar[22] 2L 20s
Icositritonic	Barbad[23] 18L 5s • Hemikleismic[23] 15L 8s • Unidec[23] 13L 10s • Ripple[23] 12L 11s • Passion[23] 11L 12s • Sephiroth[23] 10L 13s • Greeley[23] 8L 15s • Baldy[23] 6L 17s • Roman[23] 3L 20s
Icositetratonic and above	Godzilla[24] 19L 5s • Hemififths[24] 17L 7s • Mohajira[24] 7L 17s • Semaphore[24] 5L 19s • Hemimagic[25] 19L 6s • Luna[25] 6L 19s • Superpyth[27] 22L 5s • Sensi[27] 19L 8s • Ennealimmal[27] 18L 9s • Octacot[27] narrow 14L 13s, wide 13L 14s • Niner[27] 9L 18s • Ultrapyth[27] 5L 22s • Leapday[29], Grackle[29] 17L 12s • Garibaldi[29] 12L 17s • Tridec[29] 8L 21s • Clyde[30] 19L 11s • Luna[31] 25L 6s • Meanpop[31] 19L 12s • Squares[31] 17L 14s • Grosstone[31] 12L 19s • Miracle[31] 10L 21s • Roulette[31] 6L 25s

Browse MOS by EDO

Summary pages

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Individual pages

Lists of MOS scales in n-edo
0	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	33	34	35	36	37	38	39
40	41	42	43	44	45	46	47	48	49
50	51	52	53	54	55	56	57	58	59
60	61	62	63	64	65	66	67	68	69
70	71	72	73	74	75	76	77	78	79
80	81	82	83	84	85	86	87	88	89
90	91	92	93	94	95	96	97	98	99
100	101	102	103	104	105	106	107	108	109
110	111	112	113	114	115	116	117	118	119
120	121	122	123	124	125	126	127	128	129
130	131	132	133	134	135	136	137	138	139
140	141	142	143	144	145	146	147	148	149
150	151	152	153	154	155	156	157	158	159
160	161	162	163	164	165	166	167	168	169
170	171	172	173	174	175	176	177	178	179
180	181	182	183	184	185	186	187	188	189
190	191	192	193	194	195	196	197	198	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

2/1-equivalent mosses (up to 33 steps)
Number of small steps	Number of large steps
Number of small 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
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
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
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
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
22	1L 22s	2L 22s	3L 22s	4L 22s	5L 22s	6L 22s	7L 22s	8L 22s	9L 22s	10L 22s	11L 22s
23	1L 23s	2L 23s	3L 23s	4L 23s	5L 23s	6L 23s	7L 23s	8L 23s	9L 23s	10L 23s
24	1L 24s	2L 24s	3L 24s	4L 24s	5L 24s	6L 24s	7L 24s	8L 24s	9L 24s
25	1L 25s	2L 25s	3L 25s	4L 25s	5L 25s	6L 25s	7L 25s	8L 25s
26	1L 26s	2L 26s	3L 26s	4L 26s	5L 26s	6L 26s	7L 26s
27	1L 27s	2L 27s	3L 27s	4L 27s	5L 27s	6L 27s
28	1L 28s	2L 28s	3L 28s	4L 28s	5L 28s
29	1L 29s	2L 29s	3L 29s	4L 29s
30	1L 30s	2L 30s	3L 30s
31	1L 31s	2L 31s
32	1L 32s

Catalog of 3/1-equivalent mosses

3/1-equivalent mosses (up to 20 steps)
Number of small steps	Number of large steps
Number of small 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⟩	2L 1s⟨3/1⟩	3L 1s⟨3/1⟩	4L 1s⟨3/1⟩	5L 1s⟨3/1⟩	6L 1s⟨3/1⟩	7L 1s⟨3/1⟩	8L 1s⟨3/1⟩	9L 1s⟨3/1⟩	10L 1s⟨3/1⟩	11L 1s⟨3/1⟩	12L 1s⟨3/1⟩	13L 1s⟨3/1⟩	14L 1s⟨3/1⟩	15L 1s⟨3/1⟩	16L 1s⟨3/1⟩	17L 1s⟨3/1⟩	18L 1s⟨3/1⟩	19L 1s⟨3/1⟩
2	1L 2s⟨3/1⟩	2L 2s⟨3/1⟩	3L 2s⟨3/1⟩	4L 2s⟨3/1⟩	5L 2s⟨3/1⟩	6L 2s⟨3/1⟩	7L 2s⟨3/1⟩	8L 2s⟨3/1⟩	9L 2s⟨3/1⟩	10L 2s⟨3/1⟩	11L 2s⟨3/1⟩	12L 2s⟨3/1⟩	13L 2s⟨3/1⟩	14L 2s⟨3/1⟩	15L 2s⟨3/1⟩	16L 2s⟨3/1⟩	17L 2s⟨3/1⟩	18L 2s⟨3/1⟩
3	1L 3s⟨3/1⟩	2L 3s⟨3/1⟩	3L 3s⟨3/1⟩	4L 3s⟨3/1⟩	5L 3s⟨3/1⟩	6L 3s⟨3/1⟩	7L 3s⟨3/1⟩	8L 3s⟨3/1⟩	9L 3s⟨3/1⟩	10L 3s⟨3/1⟩	11L 3s⟨3/1⟩	12L 3s⟨3/1⟩	13L 3s⟨3/1⟩	14L 3s⟨3/1⟩	15L 3s⟨3/1⟩	16L 3s⟨3/1⟩	17L 3s⟨3/1⟩
4	1L 4s⟨3/1⟩	2L 4s⟨3/1⟩	3L 4s⟨3/1⟩	4L 4s⟨3/1⟩	5L 4s⟨3/1⟩	6L 4s⟨3/1⟩	7L 4s⟨3/1⟩	8L 4s⟨3/1⟩	9L 4s⟨3/1⟩	10L 4s⟨3/1⟩	11L 4s⟨3/1⟩	12L 4s⟨3/1⟩	13L 4s⟨3/1⟩	14L 4s⟨3/1⟩	15L 4s⟨3/1⟩	16L 4s⟨3/1⟩
5	1L 5s⟨3/1⟩	2L 5s⟨3/1⟩	3L 5s⟨3/1⟩	4L 5s⟨3/1⟩	5L 5s⟨3/1⟩	6L 5s⟨3/1⟩	7L 5s⟨3/1⟩	8L 5s⟨3/1⟩	9L 5s⟨3/1⟩	10L 5s⟨3/1⟩	11L 5s⟨3/1⟩	12L 5s⟨3/1⟩	13L 5s⟨3/1⟩	14L 5s⟨3/1⟩	15L 5s⟨3/1⟩
6	1L 6s⟨3/1⟩	2L 6s⟨3/1⟩	3L 6s⟨3/1⟩	4L 6s⟨3/1⟩	5L 6s⟨3/1⟩	6L 6s⟨3/1⟩	7L 6s⟨3/1⟩	8L 6s⟨3/1⟩	9L 6s⟨3/1⟩	10L 6s⟨3/1⟩	11L 6s⟨3/1⟩	12L 6s⟨3/1⟩	13L 6s⟨3/1⟩	14L 6s⟨3/1⟩
7	1L 7s⟨3/1⟩	2L 7s⟨3/1⟩	3L 7s⟨3/1⟩	4L 7s⟨3/1⟩	5L 7s⟨3/1⟩	6L 7s⟨3/1⟩	7L 7s⟨3/1⟩	8L 7s⟨3/1⟩	9L 7s⟨3/1⟩	10L 7s⟨3/1⟩	11L 7s⟨3/1⟩	12L 7s⟨3/1⟩	13L 7s⟨3/1⟩
8	1L 8s⟨3/1⟩	2L 8s⟨3/1⟩	3L 8s⟨3/1⟩	4L 8s⟨3/1⟩	5L 8s⟨3/1⟩	6L 8s⟨3/1⟩	7L 8s⟨3/1⟩	8L 8s⟨3/1⟩	9L 8s⟨3/1⟩	10L 8s⟨3/1⟩	11L 8s⟨3/1⟩	12L 8s⟨3/1⟩
9	1L 9s⟨3/1⟩	2L 9s⟨3/1⟩	3L 9s⟨3/1⟩	4L 9s⟨3/1⟩	5L 9s⟨3/1⟩	6L 9s⟨3/1⟩	7L 9s⟨3/1⟩	8L 9s⟨3/1⟩	9L 9s⟨3/1⟩	10L 9s⟨3/1⟩	11L 9s⟨3/1⟩
10	1L 10s⟨3/1⟩	2L 10s⟨3/1⟩	3L 10s⟨3/1⟩	4L 10s⟨3/1⟩	5L 10s⟨3/1⟩	6L 10s⟨3/1⟩	7L 10s⟨3/1⟩	8L 10s⟨3/1⟩	9L 10s⟨3/1⟩	10L 10s⟨3/1⟩
11	1L 11s⟨3/1⟩	2L 11s⟨3/1⟩	3L 11s⟨3/1⟩	4L 11s⟨3/1⟩	5L 11s⟨3/1⟩	6L 11s⟨3/1⟩	7L 11s⟨3/1⟩	8L 11s⟨3/1⟩	9L 11s⟨3/1⟩
12	1L 12s⟨3/1⟩	2L 12s⟨3/1⟩	3L 12s⟨3/1⟩	4L 12s⟨3/1⟩	5L 12s⟨3/1⟩	6L 12s⟨3/1⟩	7L 12s⟨3/1⟩	8L 12s⟨3/1⟩
13	1L 13s⟨3/1⟩	2L 13s⟨3/1⟩	3L 13s⟨3/1⟩	4L 13s⟨3/1⟩	5L 13s⟨3/1⟩	6L 13s⟨3/1⟩	7L 13s⟨3/1⟩
14	1L 14s⟨3/1⟩	2L 14s⟨3/1⟩	3L 14s⟨3/1⟩	4L 14s⟨3/1⟩	5L 14s⟨3/1⟩	6L 14s⟨3/1⟩
15	1L 15s⟨3/1⟩	2L 15s⟨3/1⟩	3L 15s⟨3/1⟩	4L 15s⟨3/1⟩	5L 15s⟨3/1⟩
16	1L 16s⟨3/1⟩	2L 16s⟨3/1⟩	3L 16s⟨3/1⟩	4L 16s⟨3/1⟩
17	1L 17s⟨3/1⟩	2L 17s⟨3/1⟩	3L 17s⟨3/1⟩
18	1L 18s⟨3/1⟩	2L 18s⟨3/1⟩
19	1L 19s⟨3/1⟩

Catalog of 3/2-equivalent mosses

3/2-equivalent mosses (up to 7 steps)
Number of small steps	Number of large steps
Number of small steps	1	2	3	4	5	6
1	1L 1s⟨3/2⟩	2L 1s⟨3/2⟩	3L 1s⟨3/2⟩	4L 1s⟨3/2⟩	5L 1s⟨3/2⟩	6L 1s⟨3/2⟩
2	1L 2s⟨3/2⟩	2L 2s⟨3/2⟩	3L 2s⟨3/2⟩	4L 2s⟨3/2⟩	5L 2s⟨3/2⟩
3	1L 3s⟨3/2⟩	2L 3s⟨3/2⟩	3L 3s⟨3/2⟩	4L 3s⟨3/2⟩
4	1L 4s⟨3/2⟩	2L 4s⟨3/2⟩	3L 4s⟨3/2⟩
5	1L 5s⟨3/2⟩	2L 5s⟨3/2⟩
6	1L 6s⟨3/2⟩

View • Talk • EditScale galleries
JI scales	12-tone JI • Combination product set • Constant structure • Harry Partch-related • Maximal harmony epimorphic • MOS transversal • Non-octave JI • Wakalix • Z-polygon transversal • Other JI Full list: Category:Just intonation scales
Tempered scales	11-tone MOS • 12-tone tempered • Chromatic pair • Clipper • Double mode • Essentially tempered • Fantasy detemper • Marvel woo • Meantone • Min ambiguity • MOS cradle • MOS (general) • Negri-9 • Neutral third • Non-octave tempered • Scalesmith systematic • Ternary • Other tempered Full list: Category:Tempered scales
Scales in EDOs	in 10edo • 11 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 33 • 34 • 35 • 36 • 37 • 38 • 40 • 41 • 42 • 43 • 46 • 49 • 53 • 72 • 80
All other scale gallery pages are included in Category:Lists of scales. See also List of music software#Scale collections.

Catalog of MOS: Difference between revisions

Latest revision as of 10:18, 30 September 2026

Contents

Mosses by total note count

Listen

Browse MOS by temperament

Browse MOS by EDO

Browse MOS by equivalence interval

Catalog of 2/1-equivalent mosses

Catalog of 3/1-equivalent mosses

Catalog of 3/2-equivalent mosses

MOS pages not listed above

See also

Navigation menu

@@ Line 1: / Line 1: @@
-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]].
+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"
 |-
-| | [[Pentatonic MOS]]
+! rowspan="2" |Note count
-| |
+! colspan="14" |Total number of large steps
-| |
+|-
-| |
+!1
-| |
+!2
-| |
+!3
-| |
+!4
-| |
+!5
-| |
+!6
-| |
+!7
-| |
+!8
-| | [[1L 4s]]
+!9
-| |
+!10
-| | [[2L 3s]]
+!11
-| |
+!12
-| | [[3L 2s]]
+!13
-| |
+!14
-| | [[4L 1s]]
+|-
-| |
+| rowspan="2" |Trivial mosses
-| |
+|[[1L 1s]]
-| |
+|
-| |
+|
-| |
+|
-| |
+|
-| |
+|
-| |
+|
-| |
+|
-| |
+|
+|
+|
+|
+|
+|
+|-
+|[[1L 2s]]
+|[[2L 1s]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+|Tetratonic mosses
+|[[1L 3s]]
+|'''[[2L 2s]]'''
+|[[3L 1s]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+|Pentatonic mosses
+|[[1L 4s]]
+|[[2L 3s]]
+|[[3L 2s]]
+|[[4L 1s]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
 |-
-| | [[Hexatonic MOS]]
+|Hexatonic mosses
-| |
+|[[1L 5s]]
-| |
+|'''[[2L 4s]]'''
-| |
+|'''[[3L 3s]]'''
-| |
+|'''[[4L 2s]]'''
-| |
+|[[5L 1s]]
-| |
+|
-| |
+|
-| |
+|
-| |
+|
-| | [[1L 5s]]
+|
-| |
+|
-| | [[2L 4s]]
+|
-| |
+|
-| | [[3L 3s]]
+|
-| |
-| | [[4L 2s]]
-| |
-| | [[5L 1s]]
-| |
-| |
-| |
-| |
-| |
-| |
-| |
-| |
-| |
 |-
-| | [[Heptatonic MOS]]
+|Heptatonic mosses
-| |
+|[[1L 6s]]
-| |
+|[[2L 5s]]
-| |
+|[[3L 4s]]
-| |
+|[[4L 3s]]
-| |
+|[[5L 2s]]
-| |
+|[[6L 1s]]
-| |
+|
-| |
+|
-| | [[1L 6s]]
+|
-| |
+|
-| | [[2L 5s]]
+|
-| |
+|
-| | [[3L 4s]]
+|
-| |
+|
-| | [[4L 3s]]
-| |
-| | [[5L 2s]]
-| |
-| | [[6L 1s]]
-| |
-| |
-| |
-| |
-| |
-| |
-| |
-| |
 |-
-| | [[Octatonic MOS]]
+|Octatonic mosses
-| |
+|[[1L 7s]]
-| |
+|'''[[2L 6s]]'''
-| |
+|[[3L 5s]]
-| |
+|'''[[4L 4s]]'''
-| |
+|[[5L 3s]]
-| |
+|'''[[6L 2s]]'''
-| |
+|[[7L 1s]]
-| | [[1L 7s]]
+|
-| |
+|
-| | [[2L 6s]]
+|
-| |
+|
-| | [[3L 5s]]
+|
-| |
+|
-| | [[4L 4s]]
+|
-| |
-| | [[5L 3s]]
-| |
-| | [[6L 2s]]
-| |
-| | [[7L 1s]]
-| |
-| |
-| |
-| |
-| |
-| |
-| |
 |-
-| | [[Enneatonic MOS]]
+|Enneatonic mosses
-| |
+|[[1L 8s]]
-| |
+|[[2L 7s]]
-| |
+|'''[[3L 6s]]'''
-| |
+|[[4L 5s]]
-| |
+|[[5L 4s]]
-| |
+|'''[[6L 3s]]'''
-| | [[1L 8s]]
+|[[7L 2s]]
-| |
+|[[8L 1s]]
-| | [[2L 7s]]
+|
-| |
+|
-| | [[3L 6s]]
+|
-| |
+|
-| | [[4L 5s]]
+|
-| |
+|
-| | [[5L 4s]]
-| |
-| | [[6L 3s]]
-| |
-| | [[7L 2s]]
-| |
-| | [[8L 1s]]
-| |
-| |
-| |
-| |
-| |
-| |
 |-
-| | [[Decatonic MOS]]
+|Decatonic mosses
-| |
+|[[1L 9s]]
-| |
+|'''[[2L 8s]]'''
-| |
+|[[3L 7s]]
-| |
+|'''[[4L 6s]]'''
-| |
+|'''[[5L 5s]]'''
-| | [[1L 9s]]
+|'''[[6L 4s]]'''
-| |
+|[[7L 3s]]
-| | [[2L 8s]]
+|'''[[8L 2s]]'''
-| |
+|[[9L 1s]]
-| | [[3L 7s]]
+|
-| |
+|
-| | [[4L 6s]]
+|
-| |
+|
-| | [[5L 5s]]
+|
-| |
-| | [[6L 4s]]
-| |
-| | [[7L 3s]]
-| |
-| | [[8L 2s]]
-| |
-| | [[9L 1s]]
-| |
-| |
-| |
-| |
-| |
 |-
-| | [[Hendecatonic MOS]]
+|Hendecatonic mosses
-| |
+|[[1L 10s]]
-| |
+|[[2L 9s]]
-| |
+|[[3L 8s]]
-| |
+|[[4L 7s]]
-| | [[1L 10s]]
+|[[5L 6s]]
-| |
+|[[6L 5s]]
-| | [[2L 9s]]
+|[[7L 4s]]
-| |
+|[[8L 3s]]
-| | [[3L 8s]]
+|[[9L 2s]]
-| |
+|[[10L 1s]]
-| | [[4L 7s]]
+|
-| |
+|
-| | [[5L 6s]]
+|
-| |
+|
-| | [[6L 5s]]
-| |
-| | [[7L 4s]]
-| |
-| | [[8L 3s]]
-| |
-| | [[9L 2s]]
-| |
-| | [[10L 1s]]
-| |
-| |
-| |
-| |
 |-
-| | [[Dodecatonic MOS]]
+|Dodecatonic mosses
-| |
+|[[1L 11s]]
-| |
+|'''[[2L 10s]]'''
-| |
+|'''[[3L 9s]]'''
-| | [[1L 11s]]
+|'''[[4L 8s]]'''
-| |
+|[[5L 7s]]
-| | [[2L 10s]]
+|'''[[6L 6s]]'''
-| |
+|[[7L 5s]]
-| | [[3L 9s]]
+|'''[[8L 4s]]'''
-| |
+|'''[[9L 3s]]'''
-| | [[4L 8s]]
+|'''[[10L 2s]]'''
-| |
+|[[11L 1s]]
-| | [[5L 7s]]
+|
-| |
+|
-| | [[6L 6s]]
+|
-| |
-| | [[7L 5s]]
-| |
-| | [[8L 4s]]
-| |
-| | [[9L 3s]]
-| |
-| | [[10L 2s]]
-| |
-| | [[11L 1s]]
-| |
-| |
-| |
 |-
-| | [[Tridecatonic MOS]]
+|Tridecatonic mosses
-| |
+|[[1L 12s]]
-| |
+|[[2L 11s]]
-| | [[1L 12s]]
+|[[3L 10s]]
-| |
+|[[4L 9s]]
-| | [[2L 11s]]
+|[[5L 8s]]
-| |
+|[[6L 7s]]
-| | [[3L 10s]]
+|[[7L 6s]]
-| |
+|[[8L 5s]]
-| | [[4L 9s]]
+|[[9L 4s]]
-| |
+|[[10L 3s]]
-| | [[5L 8s]]
+|[[11L 2s]]
-| |
+|[[12L 1s]]
-| | [[6L 7s]]
+|
-| |
+|
-| | [[7L 6s]]
-| |
-| | [[8L 5s]]
-| |
-| | [[9L 4s]]
-| |
-| | [[10L 3s]]
-| |
-| | [[11L 2s]]
-| |
-| | [[12L 1s]]
-| |
-| |
 |-
-| | [[Tetradecatonic MOS]]
+|Tetradecatonic mosses
-| |
+|[[1L 13s]]
-| | [[1L 13s]]
+|'''[[2L 12s]]'''
-| |
+|[[3L 11s]]
-| | [[2L 12s]]
+|'''[[4L 10s]]'''
-| |
+|[[5L 9s]]
-| | [[3L 11s]]
+|'''[[6L 8s]]'''
-| |
+|'''[[7L 7s]]'''
-| | [[4L 10s]]
+|'''[[8L 6s]]'''
-| |
+|[[9L 5s]]
-| | [[5L 9s]]
+|'''[[10L 4s]]'''
-| |
+|[[11L 3s]]
-| | [[6L 8s]]
+|'''[[12L 2s]]'''
-| |
+|[[13L 1s]]
-| | [[7L 7s]]
+|
-| |
-| | [[8L 6s]]
-| |
-| | [[9L 5s]]
-| |
-| | [[10L 4s]]
-| |
-| | [[11L 3s]]
-| |
-| | [[12L 2s]]
-| |
-| | [[13L 1s]]
-| |
 |-
-| | [[Pentadecatonic MOS]]
+|Pentadecatonic mosses
-| | [[1L 14s]]
+|[[1L 14s]]
-| |
+|[[2L 13s]]
-| | [[2L 13s]]
+|'''[[3L 12s]]'''
-| |
+|[[4L 11s]]
-| | [[3L 12s]]
+|'''[[5L 10s]]'''
-| |
+|'''[[6L 9s]]'''
-| | [[4L 11s]]
+|[[7L 8s]]
-| |
+|[[8L 7s]]
-| | [[5L 10s]]
+|'''[[9L 6s]]'''
-| |
+|'''[[10L 5s]]'''
-| | [[6L 9s]]
+|[[11L 4s]]
-| |
+|'''[[12L 3s]]'''
-| | [[7L 8s]]
+|[[13L 2s]]
-| |
+|[[14L 1s]]
-| | [[8L 7s]]
-| |
-| | [[9L 6s]]
-| |
-| | [[10L 5s]]
-| |
-| | [[11L 4s]]
-| |
-| | [[12L 3s]]
-| |
-| | [[13L 2s]]
-| |
-| | [[14L 1s]]
 |}
@@ Line 331: / Line 266: @@
 [[File:Every-MOS-Scale-With-14-Or-Fewer-Notes.mp3|left|800x800px]]<br><br><br>
-== Temperaments ==
+== 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&nbsp;3s]]</span> •<!--
+--> <span style="white-space: nowrap;">Machine[11], Baldy[11] [[6L&nbsp;5s]]</span> •<!--
+--> <span style="white-space: nowrap;">Slendric[11] [[5L&nbsp;6s]]</span> •<!--
+--> <span style="white-space: nowrap;">Keemun[11] [[4L&nbsp;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&nbsp;1s]]</span> •<!--
+--> <span style="white-space: nowrap;">Pajara[12] [[10L&nbsp;2s]]</span> •<!--
+--> <span style="white-space: nowrap;">August[12] [[9L&nbsp;3s]]</span> •<!--
+--> <span style="white-space: nowrap;">Meantone[12] [[7L&nbsp;5s]]</span> •<!--
+--> <span style="white-space: nowrap;">Hexe[12] [[6L&nbsp;6s]]</span> •<!--
+--> <span style="white-space: nowrap;">Superpyth[12] [[5L&nbsp;7s]]</span> •<!--
+--> <span style="white-space: nowrap;">Diminished[12] [[4L&nbsp;8s]]</span> •<!--
+--> <span style="white-space: nowrap;">Augene[12] [[3L&nbsp;9s]]</span> •<!--
+--> <span style="white-space: nowrap;">Injera[12] [[2L&nbsp;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&nbsp;2s]]</span> •<!--
+--> <span style="white-space: nowrap;">[[Sephiroth13]] [[10L&nbsp;3s]]</span> •<!--
+--> <span style="white-space: nowrap;">Orwell[13] [[9L&nbsp;4s]]</span> •<!--
+--> <span style="white-space: nowrap;">[[Tridec13]] [[8L&nbsp;5s]]</span> •<!--
+--> <span style="white-space: nowrap;">Tetracot[13] [[7L&nbsp;6s]]</span> •<!--
+--> <span style="white-space: nowrap;">[[leantone13]] [[6L&nbsp;7s]]</span> •<!--
+--> <span style="white-space: nowrap;">Semisept[13] [[5L&nbsp;8s]]</span> •<!--
+--> <span style="white-space: nowrap;">Huxley[13], Lovecraft[13] [[4L&nbsp;9s]]</span> •<!--
+--> <span style="white-space: nowrap;">Magic[13] [[3L&nbsp;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&nbsp;1s]]</span> •<!--
+--> <span style="white-space: nowrap;">Injera[14] [[12L&nbsp;2s]]</span> •<!--
+--> <span style="white-space: nowrap;">Ketradektriatoh[14] [[11L&nbsp;3s]]</span> •<!--
+--> <span style="white-space: nowrap;">Superpelog[14] [[9L&nbsp;5s]]</span> •<!--
+--> <span style="white-space: nowrap;">Whitewood[14] [[7L&nbsp;7s]]</span> •<!--
+--> <span style="white-space: nowrap;">Godzilla[14] [[5L&nbsp;9s]]</span> •<!--
+--> <span style="white-space: nowrap;">Doublewide[14] [[4L&nbsp;10s]]</span> •<!--
+--> <span style="white-space: nowrap;">Squares[14] [[3L&nbsp;11s]]</span> •<!--
+--> <span style="white-space: nowrap;">Nautilus[14] [[1L&nbsp;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&nbsp;1s]]</span> •<!--
+--> <span style="white-space: nowrap;">Kangaroo[15] [[13L&nbsp;2s]]</span> •<!--
+--> <span style="white-space: nowrap;">Superkleismic[15] [[11L&nbsp;4s]]</span> •<!--
+--> <span style="white-space: nowrap;">Augene[15] [[12L&nbsp;3s]]</span> •<!--
+--> <span style="white-space: nowrap;">Blacksmith[15] [[10L&nbsp;5s]]</span> •<!--
+--> <span style="white-space: nowrap;">Triforce[15] [[9L&nbsp;6s]]</span> •<!--
+--> <span style="white-space: nowrap;">Opossum[15] [[8L&nbsp;7s]]</span> •<!--
+--> <span style="white-space: nowrap;">Porcupine[15] [[7L&nbsp;8s]]</span> •<!--
+--> <span style="white-space: nowrap;">Terrain[15] [[6L&nbsp;9s]]</span> •<!--
+--> <span style="white-space: nowrap;">Myna[15], Keemun[15] [[4L&nbsp;11s]]</span> •<!--
+--> <span style="white-space: nowrap;">Progress[15] [[2L&nbsp;13s]]</span> •<!--
+--> <span style="white-space: nowrap;">Valentine[15] [[1L&nbsp;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&nbsp;1s]]</span> •<!--
+--> <span style="white-space: nowrap;">Kumonga[16] [[11L&nbsp;5s]]</span> •<!--
+--> <span style="white-space: nowrap;">Lemba[16] [[10L&nbsp;6s]]</span> •<!--
+--> <span style="white-space: nowrap;">Mavila[16] [[9L&nbsp;7s]]</span> •<!--
+--> <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> •<!--
+--> <span style="white-space: nowrap;">Mothra[16], Shoe[16] [[5L&nbsp;11s]]</span> •<!--
+--> <span style="white-space: nowrap;">Magic[16] [[3L&nbsp;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&nbsp;2s]]</span> •<!--
+--> <span style="white-space: nowrap;">Squares[17] [[14L&nbsp;3s]]</span> •<!--
+--> <span style="white-space: nowrap;">Garibaldi[17] [[12L&nbsp;5s]]</span> •<!--
+--> <span style="white-space: nowrap;">Machine[17] [[11L&nbsp;6s]]</span> •<!--
+--> <span style="white-space: nowrap;">Beatles[17] [[10L&nbsp;7s]]</span> •<!--
+--> <span style="white-space: nowrap;">Bleu[17], Blue[17], Progression[17], Doublethink[17] [[9L&nbsp;8s]]</span> •<!--
+--> <span style="white-space: nowrap;">Indium[17], Bohpier[17] [[8L&nbsp;9s]]</span> •<!--
+--> <span style="white-space: nowrap;">Mohajira[17] [[7L&nbsp;10s]]</span> •<!--
+--> <span style="white-space: nowrap;">Baldy[17] [[6L&nbsp;11s]]</span> •<!--
+--> <span style="white-space: nowrap;">Superpyth[17] [[5L&nbsp;12s]]</span> •<!--
+--> <span style="white-space: nowrap;">Roman[17] [[3L&nbsp;14s]]</span> •<!--
+--> <span style="white-space: nowrap;">Tritonic[17] [[2L&nbsp;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&nbsp;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&nbsp;2s]]</span> •<!--
+--> <span style="white-space: nowrap;">Muggles[19] [[16L&nbsp;3s]]</span> •<!--
+--> <span style="white-space: nowrap;">Keemun[19] [[15L&nbsp;4s]]</span> •<!--
+--> <span style="white-space: nowrap;">2-Flattone[19] [[13L&nbsp;6s]]</span> •<!--
+--> <span style="white-space: nowrap;">Meantone[19] [[12L&nbsp;7s]]</span> •<!--
+--> <span style="white-space: nowrap;">Clyde[19] [[11L&nbsp;8s]]</span> •<!--
+--> <span style="white-space: nowrap;">Negri[19] [[10L&nbsp;9s]]</span> •<!--
+--> <span style="white-space: nowrap;">Twothirdtonic[19] [[9L&nbsp;10s]]</span> •<!--
+--> <span style="white-space: nowrap;">Sensi[19] [[8L&nbsp;11s]]</span> •<!--
+--> <span style="white-space: nowrap;">Flattone[19] [[7L&nbsp;12s]]</span> •<!--
+--> <span style="white-space: nowrap;">Hemiwuerschmidt[19] [[6L&nbsp;13s]]</span> •<!--
+--> <span style="white-space: nowrap;">Semaphore[19], Godzilla[19] [[5L&nbsp;14s]]</span> •<!--
+--> <span style="white-space: nowrap;">Myna[19] [[4L&nbsp;15s]]</span> •<!--
+--> <span style="white-space: nowrap;">Magic[19] [[3L&nbsp;16s]]</span> •<!--
+--> <span style="white-space: nowrap;">Tritonic[19] [[2L&nbsp;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&nbsp;3s]]</span> •<!--
+--> <span style="white-space: nowrap;">Mitonic[20] [[13L&nbsp;7s]]</span> •<!--
+--> <span style="white-space: nowrap;">Casablanca[20] [[11L&nbsp;9s]]</span> •<!--
+--> <span style="white-space: nowrap;">Avila[20] [[9L&nbsp;11s]]</span> •<!--
+--> <span style="white-space: nowrap;">Tetracot[20] [[7L&nbsp;13s]]</span> •<!--
+--> <span style="white-space: nowrap;">Roman[20] [[3L&nbsp;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&nbsp;5s]]</span> •<!--
+--> <span style="white-space: nowrap;">Miracle[21] [[10L&nbsp;11s]]</span> •<!--
+--> <span style="white-space: nowrap;">Tridec[21] [[8L&nbsp;13s]]</span> •<!--
+--> <span style="white-space: nowrap;">Rodan[21] [[5L&nbsp;16s]]</span> •<!--
+--> <span style="white-space: nowrap;">Tritonic[21] [[2L&nbsp;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&nbsp;3s]]</span> •<!--
+--> <span style="white-space: nowrap;">Supra[22] [[17L&nbsp;5s]]</span> •<!--
+--> <span style="white-space: nowrap;">Porcupine[22] [[15L&nbsp;7s]]</span> •<!--
+--> <span style="white-space: nowrap;">Diaschismic[22] [[12L&nbsp;10s]]</span> •<!--
+--> <span style="white-space: nowrap;">Orwell[22] [[9L&nbsp;13s]]</span> •<!--
+--> <span style="white-space: nowrap;">Coendou[22] [[7L&nbsp;15s]]</span> •<!--
+--> <span style="white-space: nowrap;">Wizard[22] [[6L&nbsp;16s]]</span> •<!--
+--> <span style="white-space: nowrap;">Superpyth[22] [[5L&nbsp;17s]]</span> •<!--
+--> <span style="white-space: nowrap;">Wuerschmidt[22] [[3L&nbsp;19s]]</span> •<!--
+--> <span style="white-space: nowrap;">Shrutar[22] [[2L&nbsp;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&nbsp;5s]]</span> •<!--
+--> <span style="white-space: nowrap;">Hemikleismic[23] [[15L&nbsp;8s]]</span> •<!--
+--> <span style="white-space: nowrap;">Unidec[23] [[13L&nbsp;10s]]</span> •<!--
+--> <span style="white-space: nowrap;">Ripple[23] [[12L&nbsp;11s]]</span> •<!--
+--> <span style="white-space: nowrap;">Passion[23] [[11L&nbsp;12s]]</span> •<!--
+--> <span style="white-space: nowrap;">Sephiroth[23] [[10L&nbsp;13s]]</span> •<!--
+--> <span style="white-space: nowrap;">Greeley[23] [[8L&nbsp;15s]]</span> •<!--
+--> <span style="white-space: nowrap;">Baldy[23] [[6L&nbsp;17s]]</span> •<!--
+--> <span style="white-space: nowrap;">Roman[23] [[3L&nbsp;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&nbsp;5s]]</span> •<!--
+--> <span style="white-space: nowrap;">Hemififths[24] [[17L&nbsp;7s]]</span> •<!--
+--> <span style="white-space: nowrap;">Mohajira[24] [[7L&nbsp;17s]]</span> •<!--
+--> <span style="white-space: nowrap;">Semaphore[24] [[5L&nbsp;19s]]</span> •<!--
+--> <span style="white-space: nowrap;">Hemimagic[25] [[19L&nbsp;6s]]</span> •<!--
+--> <span style="white-space: nowrap;">Luna[25] [[6L&nbsp;19s]]</span> •<!--
+--> <span style="white-space: nowrap;">Superpyth[27] [[22L&nbsp;5s]]</span> •<!--
+--> <span style="white-space: nowrap;">Sensi[27] [[19L&nbsp;8s]]</span> •<!--
+--> <span style="white-space: nowrap;">Ennealimmal[27] [[18L&nbsp;9s]]</span> •<!--
+--> <span style="white-space: nowrap;">Octacot[27] narrow [[14L&nbsp;13s]], wide [[13L&nbsp;14s]]</span> •<!--
+--> <span style="white-space: nowrap;">Niner[27] [[9L&nbsp;18s]]</span> •<!--
+--> <span style="white-space: nowrap;">Ultrapyth[27] [[5L&nbsp;22s]]</span> •<!--
+--> <span style="white-space: nowrap;">Leapday[29], Grackle[29] [[17L&nbsp;12s]]</span> •<!--
+--> <span style="white-space: nowrap;">Garibaldi[29] [[12L&nbsp;17s]]</span> •<!--
+--> <span style="white-space: nowrap;">Tridec[29] [[8L&nbsp;21s]]</span> •<!--
+--> <span style="white-space: nowrap;">Clyde[30] [[19L&nbsp;11s]]</span> •<!--
+--> <span style="white-space: nowrap;">Luna[31] [[25L&nbsp;6s]]</span> •<!--
+--> <span style="white-space: nowrap;">Meanpop[31] [[19L&nbsp;12s]]</span> •<!--
+--> <span style="white-space: nowrap;">Squares[31] [[17L&nbsp;14s]]</span> •<!--
+--> <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>
+|}
-'''Hendecatonic'''
+== Browse MOS by EDO ==
-* Sensi[11] [[8L 3s]]
+'''Summary pages'''
-* Machine[11], Baldy[11] [[6L 5s]]
-* Slendric[11] [[5L 6s]]
-* Keemun[11] [[4L 7s]]
-'''Dodecatonic'''
+(May load slowly on phones)
-* Passion[12], Ripple[12] [[11L 1s]]
+* [[List of MOS scales in edos 5 to 30]]
-* Pajara[12] [[10L 2s]]
+* [[List of MOS scales in edos 31 to 45]]
-* August[12] [[9L 3s]]
+* [[List of MOS scales in edos 46 to 55]]
-* Meantone[12] [[7L 5s]]
-* Hexe[12] [[6L 6s]]
-* Superpyth[12] [[5L 7s]]
-* Diminished[12] [[4L 8s]]
-* Augene[12] [[3L 9s]]
-* Injera[12] [[2L 10s]]
-'''Tridecatonic'''
-''also see [[Tridecatonic MOS]]''
-* Heinz[13] [[11L 2s]]
-* [[Sephiroth13]] [[10L 3s]]
-* Orwell[13] [[9L 4s]]
-* [[Tridec13]] [[8L 5s]]
-* Tetracot[13] [[7L 6s]]
-* [[leantone13]] [[6L 7s]]
-* Semisept[13] [[5L 8s]]
-* Huxley[13] [[4L 9s]]
-* Magic[13] [[3L 10s]]
-'''Tetradecatonic'''
+'''Individual pages'''
-* Octacot[14] [[13L 1s]]
-* Injera[14] [[12L 2s]]
-* Ketradektriatoh[14] [[11L 3s]]
-* Superpelog[14] [[9L 5s]]
-* Whitewood[14] [[7L 7s]]
-* Godzilla[14] [[5L 9s]]
-* Doublewide[14] [[4L 10s]]
-* Squares[14] [[3L 11s]]
-* Nautilus[14] [[1L 13s]]
-'''Pentadecatonic'''
+{| class="wikitable center-all mw-collapsible"
-* Nautilus[15] [[14L 1s]]
+|+ style="font-size: 105%; white-space: nowrap;" | Lists of MOS scales in n-edo
-* Kangaroo[15] [[13L 2s]]
+|-
-* Superkleismic[15] [[11L 4s]]
+| [[List of MOS scales in 0edo|0]]
-* Augene[15] [[12L 3s]]
+| [[List of MOS scales in 1edo|1]]
-* Blacksmith[15] [[10L 5s]]
+| [[List of MOS scales in 2edo|2]]
-* Triforce[15] [[9L 6s]]
+| [[List of MOS scales in 3edo|3]]
-* Opossum[15] [[8L 7s]]
+| [[List of MOS scales in 4edo|4]]
-* Porcupine[15] [[7L 8s]]
+| [[List of MOS scales in 5edo|5]]
-* Terrain[15] [[6L 9s]]
+| [[List of MOS scales in 6edo|6]]
-* Myna/Keemun[15] [[4L 11s]]
+| [[List of MOS scales in 7edo|7]]
-* Progress[15] [[2L 13s]]
+| [[List of MOS scales in 8edo|8]]
-* Valentine[15] [[1L 14s]]
+| [[List of MOS scales in 9edo|9]]
+|-
+| [[List of MOS scales in 10edo|10]]
+| [[List of MOS scales in 11edo|11]]
+| [[List of MOS scales in 12edo|12]]
+| [[List of MOS scales in 13edo|13]]
+| [[List of MOS scales in 14edo|14]]
+| [[List of MOS scales in 15edo|15]]
+| [[List of MOS scales in 16edo|16]]
+| [[List of MOS scales in 17edo|17]]
+| [[List of MOS scales in 18edo|18]]
+| [[List of MOS scales in 19edo|19]]
+|-
+| [[List of MOS scales in 20edo|20]]
+| [[List of MOS scales in 21edo|21]]
+| [[List of MOS scales in 22edo|22]]
+| [[List of MOS scales in 23edo|23]]
+| [[List of MOS scales in 24edo|24]]
+| [[List of MOS scales in 25edo|25]]
+| [[List of MOS scales in 26edo|26]]
+| [[List of MOS scales in 27edo|27]]
+| [[List of MOS scales in 28edo|28]]
+| [[List of MOS scales in 29edo|29]]
+|-
+| [[List of MOS scales in 30edo|30]]
+| [[List of MOS scales in 31edo|31]]
+| [[List of MOS scales in 32edo|32]]
+| [[List of MOS scales in 33edo|33]]
+| [[List of MOS scales in 34edo|34]]
+| [[List of MOS scales in 35edo|35]]
+| [[List of MOS scales in 36edo|36]]
+| [[List of MOS scales in 37edo|37]]
+| [[List of MOS scales in 38edo|38]]
+| [[List of MOS scales in 39edo|39]]
+|-
+| [[List of MOS scales in 40edo|40]]
+| [[List of MOS scales in 41edo|41]]
+| [[List of MOS scales in 42edo|42]]
+| [[List of MOS scales in 43edo|43]]
+| [[List of MOS scales in 44edo|44]]
+| [[List of MOS scales in 45edo|45]]
+| [[List of MOS scales in 46edo|46]]
+| [[List of MOS scales in 47edo|47]]
+| [[List of MOS scales in 48edo|48]]
+| [[List of MOS scales in 49edo|49]]
+|-
+| [[List of MOS scales in 50edo|50]]
+| [[List of MOS scales in 51edo|51]]
+| [[List of MOS scales in 52edo|52]]
+| [[List of MOS scales in 53edo|53]]
+| [[List of MOS scales in 54edo|54]]
+| [[List of MOS scales in 55edo|55]]
+| [[List of MOS scales in 56edo|56]]
+| [[List of MOS scales in 57edo|57]]
+| [[List of MOS scales in 58edo|58]]
+| [[List of MOS scales in 59edo|59]]
+|-
+| [[List of MOS scales in 60edo|60]]
+| [[List of MOS scales in 61edo|61]]
+| [[List of MOS scales in 62edo|62]]
+| [[List of MOS scales in 63edo|63]]
+| [[List of MOS scales in 64edo|64]]
+| [[List of MOS scales in 65edo|65]]
+| [[List of MOS scales in 66edo|66]]
+| [[List of MOS scales in 67edo|67]]
+| [[List of MOS scales in 68edo|68]]
+| [[List of MOS scales in 69edo|69]]
+|-
+| [[List of MOS scales in 70edo|70]]
+| [[List of MOS scales in 71edo|71]]
+| [[List of MOS scales in 72edo|72]]
+| [[List of MOS scales in 73edo|73]]
+| [[List of MOS scales in 74edo|74]]
+| [[List of MOS scales in 75edo|75]]
+| [[List of MOS scales in 76edo|76]]
+| [[List of MOS scales in 77edo|77]]
+| [[List of MOS scales in 78edo|78]]
+| [[List of MOS scales in 79edo|79]]
+|-
+| [[List of MOS scales in 80edo|80]]
+| [[List of MOS scales in 81edo|81]]
+| [[List of MOS scales in 82edo|82]]
+| [[List of MOS scales in 83edo|83]]
+| [[List of MOS scales in 84edo|84]]
+| [[List of MOS scales in 85edo|85]]
+| [[List of MOS scales in 86edo|86]]
+| [[List of MOS scales in 87edo|87]]
+| [[List of MOS scales in 88edo|88]]
+| [[List of MOS scales in 89edo|89]]
+|-
+| [[List of MOS scales in 90edo|90]]
+| [[List of MOS scales in 91edo|91]]
+| [[List of MOS scales in 92edo|92]]
+| [[List of MOS scales in 93edo|93]]
+| [[List of MOS scales in 94edo|94]]
+| [[List of MOS scales in 95edo|95]]
+| [[List of MOS scales in 96edo|96]]
+| [[List of MOS scales in 97edo|97]]
+| [[List of MOS scales in 98edo|98]]
+| [[List of MOS scales in 99edo|99]]
+|-
+| [[List of MOS scales in 100edo|100]]
+| [[List of MOS scales in 101edo|101]]
+| [[List of MOS scales in 102edo|102]]
+| [[List of MOS scales in 103edo|103]]
+| [[List of MOS scales in 104edo|104]]
+| [[List of MOS scales in 105edo|105]]
+| [[List of MOS scales in 106edo|106]]
+| [[List of MOS scales in 107edo|107]]
+| [[List of MOS scales in 108edo|108]]
+| [[List of MOS scales in 109edo|109]]
+|-
+| [[List of MOS scales in 110edo|110]]
+| [[List of MOS scales in 111edo|111]]
+| [[List of MOS scales in 112edo|112]]
+| [[List of MOS scales in 113edo|113]]
+| [[List of MOS scales in 114edo|114]]
+| [[List of MOS scales in 115edo|115]]
+| [[List of MOS scales in 116edo|116]]
+| [[List of MOS scales in 117edo|117]]
+| [[List of MOS scales in 118edo|118]]
+| [[List of MOS scales in 119edo|119]]
+|-
+| [[List of MOS scales in 120edo|120]]
+| [[List of MOS scales in 121edo|121]]
+| [[List of MOS scales in 122edo|122]]
+| [[List of MOS scales in 123edo|123]]
+| [[List of MOS scales in 124edo|124]]
+| [[List of MOS scales in 125edo|125]]
+| [[List of MOS scales in 126edo|126]]
+| [[List of MOS scales in 127edo|127]]
+| [[List of MOS scales in 128edo|128]]
+| [[List of MOS scales in 129edo|129]]
+|-
+| [[List of MOS scales in 130edo|130]]
+| [[List of MOS scales in 131edo|131]]
+| [[List of MOS scales in 132edo|132]]
+| [[List of MOS scales in 133edo|133]]
+| [[List of MOS scales in 134edo|134]]
+| [[List of MOS scales in 135edo|135]]
+| [[List of MOS scales in 136edo|136]]
+| [[List of MOS scales in 137edo|137]]
+| [[List of MOS scales in 138edo|138]]
+| [[List of MOS scales in 139edo|139]]
+|-
+| [[List of MOS scales in 140edo|140]]
+| [[List of MOS scales in 141edo|141]]
+| [[List of MOS scales in 142edo|142]]
+| [[List of MOS scales in 143edo|143]]
+| [[List of MOS scales in 144edo|144]]
+| [[List of MOS scales in 145edo|145]]
+| [[List of MOS scales in 146edo|146]]
+| [[List of MOS scales in 147edo|147]]
+| [[List of MOS scales in 148edo|148]]
+| [[List of MOS scales in 149edo|149]]
+|-
+| [[List of MOS scales in 150edo|150]]
+| [[List of MOS scales in 151edo|151]]
+| [[List of MOS scales in 152edo|152]]
+| [[List of MOS scales in 153edo|153]]
+| [[List of MOS scales in 154edo|154]]
+| [[List of MOS scales in 155edo|155]]
+| [[List of MOS scales in 156edo|156]]
+| [[List of MOS scales in 157edo|157]]
+| [[List of MOS scales in 158edo|158]]
+| [[List of MOS scales in 159edo|159]]
+|-
+| [[List of MOS scales in 160edo|160]]
+| [[List of MOS scales in 161edo|161]]
+| [[List of MOS scales in 162edo|162]]
+| [[List of MOS scales in 163edo|163]]
+| [[List of MOS scales in 164edo|164]]
+| [[List of MOS scales in 165edo|165]]
+| [[List of MOS scales in 166edo|166]]
+| [[List of MOS scales in 167edo|167]]
+| [[List of MOS scales in 168edo|168]]
+| [[List of MOS scales in 169edo|169]]
+|-
+| [[List of MOS scales in 170edo|170]]
+| [[List of MOS scales in 171edo|171]]
+| [[List of MOS scales in 172edo|172]]
+| [[List of MOS scales in 173edo|173]]
+| [[List of MOS scales in 174edo|174]]
+| [[List of MOS scales in 175edo|175]]
+| [[List of MOS scales in 176edo|176]]
+| [[List of MOS scales in 177edo|177]]
+| [[List of MOS scales in 178edo|178]]
+| [[List of MOS scales in 179edo|179]]
+|-
+| [[List of MOS scales in 180edo|180]]
+| [[List of MOS scales in 181edo|181]]
+| [[List of MOS scales in 182edo|182]]
+| [[List of MOS scales in 183edo|183]]
+| [[List of MOS scales in 184edo|184]]
+| [[List of MOS scales in 185edo|185]]
+| [[List of MOS scales in 186edo|186]]
+| [[List of MOS scales in 187edo|187]]
+| [[List of MOS scales in 188edo|188]]
+| [[List of MOS scales in 189edo|189]]
+|-
+| [[List of MOS scales in 190edo|190]]
+| [[List of MOS scales in 191edo|191]]
+| [[List of MOS scales in 192edo|192]]
+| [[List of MOS scales in 193edo|193]]
+| [[List of MOS scales in 194edo|194]]
+| [[List of MOS scales in 195edo|195]]
+| [[List of MOS scales in 196edo|196]]
+| [[List of MOS scales in 197edo|197]]
+| [[List of MOS scales in 198edo|198]]
+| [[List of MOS scales in 199edo|199]]
+|}
-'''Hexadecatonic'''
+== Browse MOS by equivalence interval ==
-* Valentine[16] [[15L 1s]]
+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.
-* Kumonga[16] [[11L 5s]]
-* Lemba[16] [[10L 6s]]
-* Mavila[16] [[9L 7s]]
-* Mavila[16], Marvo[16], Gravity[16] [[7L 9s]]
-* Wizard[16] [[6L 10s]]
-* Mothra[16], Shoe[16] [[5L 11s]]
-* Magic[16] [[3L 13s]]
-'''Septadecatonic'''
+=== Catalog of 2/1-equivalent mosses ===
-* Progress[17] [[15L 2s]]
+{| class="wikitable mw-collapsible mw-collapsed"
-* Squares[17] [[14L 3s]]
+|+2/1-equivalent mosses (up to 33 steps)
-* Garibaldi[17] [[12L 5s]]
+! rowspan="2" |Number of small steps
-* Machine[17] [[11L 6s]]
+! colspan="32" |Number of large steps
-* Beatles[17] [[10L 7s]]
+|-
-* Bleu/Blue/Progression[17],
+!1
-** Doublethink[17] [[9L 8s]]
+!2
-** Indium/bohpier[17] [[8L 9s]]
+!3
-* Mohajira[17] [[7L 10s]]
+!4
-* Baldy[17] [[6L 11s]]
+!5
-* Superpyth[17] [[5L 12s]]
+!6
-* Roman[17] [[3L 14s]]
+!7
-* Tritonic[17] [[2L 15s]]
+!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]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+!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]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+!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]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+!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]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+!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]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+!22
+|[[1L 22s]]
+|[[2L 22s]]
+|[[3L 22s]]
+|[[4L 22s]]
+|[[5L 22s]]
+|[[6L 22s]]
+|[[7L 22s]]
+|[[8L 22s]]
+|[[9L 22s]]
+|[[10L 22s]]
+|[[11L 22s]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+!23
+|[[1L 23s]]
+|[[2L 23s]]
+|[[3L 23s]]
+|[[4L 23s]]
+|[[5L 23s]]
+|[[6L 23s]]
+|[[7L 23s]]
+|[[8L 23s]]
+|[[9L 23s]]
+|[[10L 23s]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+!24
+|[[1L 24s]]
+|[[2L 24s]]
+|[[3L 24s]]
+|[[4L 24s]]
+|[[5L 24s]]
+|[[6L 24s]]
+|[[7L 24s]]
+|[[8L 24s]]
+|[[9L 24s]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+!25
+|[[1L 25s]]
+|[[2L 25s]]
+|[[3L 25s]]
+|[[4L 25s]]
+|[[5L 25s]]
+|[[6L 25s]]
+|[[7L 25s]]
+|[[8L 25s]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+!26
+|[[1L 26s]]
+|[[2L 26s]]
+|[[3L 26s]]
+|[[4L 26s]]
+|[[5L 26s]]
+|[[6L 26s]]
+|[[7L 26s]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+!27
+|[[1L 27s]]
+|[[2L 27s]]
+|[[3L 27s]]
+|[[4L 27s]]
+|[[5L 27s]]
+|[[6L 27s]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+!28
+|[[1L 28s]]
+|[[2L 28s]]
+|[[3L 28s]]
+|[[4L 28s]]
+|[[5L 28s]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+!29
+|[[1L 29s]]
+|[[2L 29s]]
+|[[3L 29s]]
+|[[4L 29s]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+!30
+|[[1L 30s]]
+|[[2L 30s]]
+|[[3L 30s]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+!31
+|[[1L 31s]]
+|[[2L 31s]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+!32
+|[[1L 32s]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|}
-'''Octodecatonic'''
+=== Catalog of 3/1-equivalent mosses ===
-* A-team[18] [[13L 5s]]
+{| 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⟩]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+!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⟩]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+!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⟩]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+!18
+|[[1L 18s (3/1-equivalent)|1L 18s⟨3/1⟩]]
+|[[2L 18s (3/1-equivalent)|2L 18s⟨3/1⟩]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|-
+!19
+|[[1L 19s (3/1-equivalent)|1L 19s⟨3/1⟩]]
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|
+|}
-'''Enneadecatonic'''
+=== Catalog of 3/2-equivalent mosses ===
-* Liese[19] [[17L 2s]]
+{| class="wikitable mw-collapsible mw-collapsed"
-* Muggles[19] [[16L 3s]]
+|+3/2-equivalent mosses (up to 7 steps)
-* Keemun[19] [[15L 4s]]
+! rowspan="2" |Number of small steps
-* 2-Flattone[19] [[13L 6s]]
+! colspan="6" |Number of large steps
-* Meantone[19] [[12L 7s]]
+|-
-* Clyde[19] [[11L 8s]]
+!1
-* Negri[19] [[10L 9s]]
+!2
-* Twothirdtonic[19] [[9L 10s]]
+!3
-* Sensi[19] [[8L 11s]]
+!4
-* Flattone[19] [[7L 12s]]
+!5
-* Hemiwuerschmidt[19] [[6L 13s]]
+!6
-* Semaphore[19], Godzilla[19] [[5L 14s]]
+|-
-* Myna[19] [[4L 15s]]
+!1
-* Magic[19] [[3L 16s]]
+|[[1L&nbsp;1s (3/2-equivalent)|1L&nbsp;1s⟨3/2⟩]]
-* Tritonic[19] [[2L 17s]]
+|[[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⟩]]
+|
+|
+|
+|
+|
+|}
-'''Icositonic'''
+== MOS pages not listed above ==
-* Bossier[20] [[17L 3s]]
+''See also: [[:Category:Abstract MOS patterns]]''
-* Mitonic[20] [[13L 7s]]
+* [[9L 29s]]
-* Casablanca[20] [[11L 9s]]
+* [[7L 34s]]
-* Avila[20] [[9L 11s]]
+* [[12L 29s]]
-* Tetracot[20] [[7L 13s]]
+* [[12L 41s]]
-* Roman[20] [[3L 17s]]
+* [[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)]]
-'''Icosihentonic'''
+== See also ==
-* Shoe[21] [[16L 5s]]
+* [[Map of linear temperaments]]
-* Miracle[21] [[10L 11s]]
-* Tridec[21] [[8L 13s]]
-* Rodan[21] [[5L 16s]]
-* Tritonic[21] [[2L 19s]]
-'''Icosidyotonic'''
+{{Navbox scale gallery}}
-* Magic[22] [[19L 3s]]
-* Supra[22] [[17L 5s]]
-* Porcupine[22] [[15L 7s]]
-* Diaschismic[22] [[12L 10s]]
-* Orwell[22] [[9L 13s]]
-* Coendou[22] [[7L 15s]]
-* Wizard[22] [[6L 16s]]
-* Superpyth[22] [[5L 17s]]
-* Wuerschmidt[22] [[3L 19s]]
-* Shrutar[22] [[2L 20s]]
-'''Icositritonic'''
-* Barbad[23] [[18L 5s]]
-* Hemikleismic[23] [[15L 8s]]
-* Unidec[23] [[13L 10s]]
-* Ripple[23] [[12L 11s]]
-* Passion[23] [[11L 12s]]
-* Sephiroth[23] [[10L 13s]]
-* Greeley[23] [[8L 15s]]
-* Baldy[23] [[6L 17s]]
-* Roman[23] [[3L 20s]]
-'''Icositetratonic and above'''
-* Godzilla[24] [[19L 5s]]
-* Hemififths[24] [[17L 7s]]
-* Mohajira[24] [[7L 17s]]
-* Semaphore[24] [[5L 19s]]
-* Hemimagic[25] [[19L 6s]]
-* Luna[25] [[6L 19s]]
-* Superpyth[27] [[22L 5s]]
-* Sensi[27] [[19L 8s]]
-* Ennealimmal[27] [[18L 9s]]
-* Octacot[27] narrow [[14L 13s]], wide [[13L 14s]]
-* Niner[27] [[9L 18s]]
-* Ultrapyth[27] [[5L 22s]]
-* Leapday[29], Grackle[29] [[17L 12s]]
-* Garibaldi[29] [[12L 17s]]
-* Tridec[29] [[8L 21s]]
-* Clyde[30] [[19L 11s]]
-* Luna[31] [[25L 6s]]
-* Meanpop[31] [[19L 12s]]
-* Squares[31] [[17L 14s]]
-* Grosstone[31] [[12L 19s]]
-* Miracle[31] [[10L 21s]]
-* Roulette[31] [[6L 25s]]
-== See also ==
-* [[Catalog of MOS as circulating temperaments]]
-* [[Tree_of_MOS_derived_from_1L_1s&1L|Tree of MOS derived from 1L 1s&amp;1L]]
 [[Category:Lists of scales]]
 [[Category:MOS scales]]

0	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	33	34	35	36	37	38	39
40	41	42	43	44	45	46	47	48	49
50	51	52	53	54	55	56	57	58	59
60	61	62	63	64	65	66	67	68	69
70	71	72	73	74	75	76	77	78	79
80	81	82	83	84	85	86	87	88	89
90	91	92	93	94	95	96	97	98	99
100	101	102	103	104	105	106	107	108	109
110	111	112	113	114	115	116	117	118	119
120	121	122	123	124	125	126	127	128	129
130	131	132	133	134	135	136	137	138	139
140	141	142	143	144	145	146	147	148	149
150	151	152	153	154	155	156	157	158	159
160	161	162	163	164	165	166	167	168	169
170	171	172	173	174	175	176	177	178	179
180	181	182	183	184	185	186	187	188	189
190	191	192	193	194	195	196	197	198	199

0	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	33	34	35	36	37	38	39
40	41	42	43	44	45	46	47	48	49
50	51	52	53	54	55	56	57	58	59
60	61	62	63	64	65	66	67	68	69
70	71	72	73	74	75	76	77	78	79
80	81	82	83	84	85	86	87	88	89
90	91	92	93	94	95	96	97	98	99
100	101	102	103	104	105	106	107	108	109
110	111	112	113	114	115	116	117	118	119
120	121	122	123	124	125	126	127	128	129
130	131	132	133	134	135	136	137	138	139
140	141	142	143	144	145	146	147	148	149
150	151	152	153	154	155	156	157	158	159
160	161	162	163	164	165	166	167	168	169
170	171	172	173	174	175	176	177	178	179
180	181	182	183	184	185	186	187	188	189
190	191	192	193	194	195	196	197	198	199

Catalog of MOS: Difference between revisions

Latest revision as of 10:18, 30 September 2026

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0	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	33	34	35	36	37	38	39
40	41	42	43	44	45	46	47	48	49
50	51	52	53	54	55	56	57	58	59
60	61	62	63	64	65	66	67	68	69
70	71	72	73	74	75	76	77	78	79
80	81	82	83	84	85	86	87	88	89
90	91	92	93	94	95	96	97	98	99
100	101	102	103	104	105	106	107	108	109
110	111	112	113	114	115	116	117	118	119
120	121	122	123	124	125	126	127	128	129
130	131	132	133	134	135	136	137	138	139
140	141	142	143	144	145	146	147	148	149
150	151	152	153	154	155	156	157	158	159
160	161	162	163	164	165	166	167	168	169
170	171	172	173	174	175	176	177	178	179
180	181	182	183	184	185	186	187	188	189
190	191	192	193	194	195	196	197	198	199