User:BudjarnLambeth/MOS page list

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All MOSes where L<31 & s<31






























Backup copy of Ganaram’s page

Mosses by total note count

This section orders mosses by total note count.

Table of mosses (up to 15 notes)
Note count Total number of large steps
1 2 3 4 5 6 7 8 9 10 11 12 13 14
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 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

Mosses 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.

Catalog of 2/1-equivalent mosses

2/1-equivalent mosses (up to 30x30)
Number of small steps 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
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
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
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 30L 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 29L 5s 30L 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 28L 6s 29L 6s 30L 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 27L 7s 28L 7s 29L 7s 30L 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 26L 8s 27L 8s 28L 8s 29L 8s 30L 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 25L 9s 26L 9s 27L 9s 28L 9s 29L 9s 30L 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 24L 10s 25L 10s 26L 10s 27L 10s 28L 10s 29L 10s 30L 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 23L 11s 24L 11s 25L 11s 26L 11s 27L 11s 28L 11s 29L 11s 30L 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 22L 12s 23L 12s 24L 12s 25L 12s 26L 12s 27L 12s 28L 12s 29L 12s 30L 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 21L 13s 22L 13s 23L 13s 24L 13s 25L 13s 26L 13s 27L 13s 28L 13s 29L 13s 30L 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 20L 14s 21L 14s 22L 14s 23L 14s 24L 14s 25L 14s 26L 14s 27L 14s 28L 14s 29L 14s 30L 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 19L 15s 20L 15s 21L 15s 22L 15s 23L 15s 24L 15s 25L 15s 26L 15s 27L 15s 28L 15s 29L 15s 30L 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 18L 16s 19L 16s 20L 16s 21L 16s 22L 16s 23L 16s 24L 16s 25L 16s 26L 16s 27L 16s 28L 16s 29L 16s 30L 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 17L 17s 18L 17s 19L 17s 20L 17s 21L 17s 22L 17s 23L 17s 24L 17s 25L 17s 26L 17s 27L 17s 28L 17s 29L 17s 30L 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 16L 18s 17L 18s 18L 18s 19L 18s 20L 18s 21L 18s 22L 18s 23L 18s 24L 18s 25L 18s 26L 18s 27L 18s 28L 18s 29L 18s 30L 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 15L 19s 16L 19s 17L 19s 18L 19s 19L 19s 20L 19s 21L 19s 22L 19s 23L 19s 24L 19s 25L 19s 26L 19s 27L 19s 28L 19s 29L 19s 30L 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 14L 20s 15L 20s 16L 20s 17L 20s 18L 20s 19L 20s 20L 20s 21L 20s 22L 20s 23L 20s 24L 20s 25L 20s 26L 20s 27L 20s 28L 20s 29L 20s 30L 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 13L 21s 14L 21s 15L 21s 16L 21s 17L 21s 18L 21s 19L 21s 20L 21s 21L 21s 22L 21s 23L 21s 24L 21s 25L 21s 26L 21s 27L 21s 28L 21s 29L 21s 30L 21s
22 1L 22s 2L 22s 3L 22s 4L 22s 5L 22s 6L 22s 7L 22s 8L 22s 9L 22s 10L 22s 11L 22s 12L 22s 13L 22s 14L 22s 15L 22s 16L 22s 17L 22s 18L 22s 19L 22s 20L 22s 21L 22s 22L 22s 23L 22s 24L 22s 25L 22s 26L 22s 27L 22s 28L 22s 29L 22s 30L 22s
23 1L 23s 2L 23s 3L 23s 4L 23s 5L 23s 6L 23s 7L 23s 8L 23s 9L 23s 10L 23s 11L 23s 12L 23s 13L 23s 14L 23s 15L 23s 16L 23s 17L 23s 18L 23s 19L 23s 20L 23s 21L 23s 22L 23s 23L 23s 24L 23s 25L 23s 26L 23s 27L 23s 28L 23s 29L 23s 30L 23s
24 1L 24s 2L 24s 3L 24s 4L 24s 5L 24s 6L 24s 7L 24s 8L 24s 9L 24s 10L 24s 11L 24s 12L 24s 13L 24s 14L 24s 15L 24s 16L 24s 17L 24s 18L 24s 19L 24s 20L 24s 21L 24s 22L 24s 23L 24s 24L 24s 25L 24s 26L 24s 27L 24s 28L 24s 29L 24s 30L 24s
25 1L 25s 2L 25s 3L 25s 4L 25s 5L 25s 6L 25s 7L 25s 8L 25s 9L 25s 10L 25s 11L 25s 12L 25s 13L 25s 14L 25s 15L 25s 16L 25s 17L 25s 18L 25s 19L 25s 20L 25s 21L 25s 22L 25s 23L 25s 24L 25s 25L 25s 26L 25s 27L 25s 28L 25s 29L 25s 30L 25s
26 1L 26s 2L 26s 3L 26s 4L 26s 5L 26s 6L 26s 7L 26s 8L 26s 9L 26s 10L 26s 11L 26s 12L 26s 13L 26s 14L 26s 15L 26s 16L 26s 17L 26s 18L 26s 19L 26s 20L 26s 21L 26s 22L 26s 23L 26s 24L 26s 25L 26s 26L 26s 27L 26s 28L 26s 29L 26s 30L 26s
27 1L 27s 2L 27s 3L 27s 4L 27s 5L 27s 6L 27s 7L 27s 8L 27s 9L 27s 10L 27s 11L 27s 12L 27s 13L 27s 14L 27s 15L 27s 16L 27s 17L 27s 18L 27s 19L 27s 20L 27s 21L 27s 22L 27s 23L 27s 24L 27s 25L 27s 26L 27s 27L 27s 28L 27s 29L 27s 30L 27s
28 1L 28s 2L 28s 3L 28s 4L 28s 5L 28s 6L 28s 7L 28s 8L 28s 9L 28s 10L 28s 11L 28s 12L 28s 13L 28s 14L 28s 15L 28s 16L 28s 17L 28s 18L 28s 19L 28s 20L 28s 21L 28s 22L 28s 23L 28s 24L 28s 25L 28s 26L 28s 27L 28s 28L 28s 29L 28s 30L 28s
29 1L 29s 2L 29s 3L 29s 4L 29s 5L 29s 6L 29s 7L 29s 8L 29s 9L 29s 10L 29s 11L 29s 12L 29s 13L 29s 14L 29s 15L 29s 16L 29s 17L 29s 18L 29s 19L 29s 20L 29s 21L 29s 22L 29s 23L 29s 24L 29s 25L 29s 26L 29s 27L 29s 28L 29s 29L 29s 30L 29s
30 1L 30s 2L 30s 3L 30s 4L 30s 5L 30s 6L 30s 7L 30s 8L 30s 9L 30s 10L 30s 11L 30s 12L 30s 13L 30s 14L 30s 15L 30s 16L 30s 17L 30s 18L 30s 19L 30s 20L 30s 21L 30s 22L 30s 23L 30s 24L 30s 25L 30s 26L 30s 27L 30s 28L 30s 29L 30s 30L 30s

Catalog of 3/1-equivalent mosses

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

Catalog of 3/2-equivalent mosses

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