User:Ganaram inukshuk/Catalog of MOS Scales: Difference between revisions

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4,810 edits
→Mosses by equivalence interval: Expanded 2/1 mosses table to 20x20; clamped 3/2 and 3/1 tables to 10x10 since there are so few mosses described
Line 1: Line 1:
This is an attempt at rewriting the following page: [[Catalog of MOS]]
This is an attempt at rewriting the following page: [[Catalog of MOS]]


This page catalogues various mosses up to 15 steps. Multi-period mosses are shown in '''bold'''.
== Mosses by total note count ==
This section orders mosses by total note count.
{| class="wikitable"
{| class="wikitable"
|+
|+
Line 254: Line 255:
{| class="wikitable"
{| class="wikitable"
! rowspan="2" |Number of small steps
! rowspan="2" |Number of small steps
! colspan="15" |Number of large steps
! colspan="20" |Number of large steps
|-
|-
!1
!1
Line 271: Line 272:
!14
!14
!15
!15
!16
!17
!18
!19
!20
|-
|-
!1
!1
Line 288: Line 294:
|[[14L 1s]]
|[[14L 1s]]
|[[15L 1s]]
|[[15L 1s]]
|[[16L 1s]]
|[[17L 1s]]
|[[18L 1s]]
|[[19L 1s]]
|[[20L 1s]]
|-
|-
!2
!2
Line 305: Line 316:
|[[14L 2s]]
|[[14L 2s]]
|[[15L 2s]]
|[[15L 2s]]
|[[16L 2s]]
|[[17L 2s]]
|[[18L 2s]]
|[[19L 2s]]
|[[20L 2s]]
|-
|-
!3
!3
Line 322: Line 338:
|[[14L 3s]]
|[[14L 3s]]
|[[15L 3s]]
|[[15L 3s]]
|[[16L 3s]]
|[[17L 3s]]
|[[18L 3s]]
|[[19L 3s]]
|[[20L 3s]]
|-
|-
!4
!4
Line 339: Line 360:
|[[14L 4s]]
|[[14L 4s]]
|[[15L 4s]]
|[[15L 4s]]
|[[16L 4s]]
|[[17L 4s]]
|[[18L 4s]]
|[[19L 4s]]
|[[20L 4s]]
|-
|-
!5
!5
Line 356: Line 382:
|[[14L 5s]]
|[[14L 5s]]
|[[15L 5s]]
|[[15L 5s]]
|[[16L 5s]]
|[[17L 5s]]
|[[18L 5s]]
|[[19L 5s]]
|[[20L 5s]]
|-
|-
!6
!6
Line 373: Line 404:
|[[14L 6s]]
|[[14L 6s]]
|[[15L 6s]]
|[[15L 6s]]
|[[16L 6s]]
|[[17L 6s]]
|[[18L 6s]]
|[[19L 6s]]
|[[20L 6s]]
|-
|-
!7
!7
Line 390: Line 426:
|[[14L 7s]]
|[[14L 7s]]
|[[15L 7s]]
|[[15L 7s]]
|[[16L 7s]]
|[[17L 7s]]
|[[18L 7s]]
|[[19L 7s]]
|[[20L 7s]]
|-
|-
!8
!8
Line 407: Line 448:
|[[14L 8s]]
|[[14L 8s]]
|[[15L 8s]]
|[[15L 8s]]
|[[16L 8s]]
|[[17L 8s]]
|[[18L 8s]]
|[[19L 8s]]
|[[20L 8s]]
|-
|-
!9
!9
Line 424: Line 470:
|[[14L 9s]]
|[[14L 9s]]
|[[15L 9s]]
|[[15L 9s]]
|[[16L 9s]]
|[[17L 9s]]
|[[18L 9s]]
|[[19L 9s]]
|[[20L 9s]]
|-
|-
!10
!10
Line 441: Line 492:
|[[14L  10s]]
|[[14L  10s]]
|[[15L  10s]]
|[[15L  10s]]
|[[16L  10s]]
|[[17L  10s]]
|[[18L  10s]]
|[[19L  10s]]
|[[20L  10s]]
|-
|-
!11
!11
Line 458: Line 514:
|[[14L  11s]]
|[[14L  11s]]
|[[15L  11s]]
|[[15L  11s]]
|[[16L  11s]]
|[[17L  11s]]
|[[18L  11s]]
|[[19L  11s]]
|[[20L  11s]]
|-
|-
!12
!12
Line 475: Line 536:
|[[14L  12s]]
|[[14L  12s]]
|[[15L  12s]]
|[[15L  12s]]
|[[16L  12s]]
|[[17L  12s]]
|[[18L  12s]]
|[[19L  12s]]
|[[20L  12s]]
|-
|-
!13
!13
Line 492: Line 558:
|[[14L  13s]]
|[[14L  13s]]
|[[15L  13s]]
|[[15L  13s]]
|[[16L  13s]]
|[[17L  13s]]
|[[18L  13s]]
|[[19L  13s]]
|[[20L  13s]]
|-
|-
!14
!14
Line 509: Line 580:
|[[14L  14s]]
|[[14L  14s]]
|[[15L  14s]]
|[[15L  14s]]
|[[16L  14s]]
|[[17L  14s]]
|[[18L  14s]]
|[[19L  14s]]
|[[20L  14s]]
|-
|-
!15
!15
Line 526: Line 602:
|[[14L  15s]]
|[[14L  15s]]
|[[15L  15s]]
|[[15L  15s]]
|[[16L  15s]]
|[[17L  15s]]
|[[18L  15s]]
|[[19L  15s]]
|[[20L  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]]
|-
!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]]
|-
!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]]
|-
!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]]
|-
!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]]
|}
|}


Line 668: Line 859:
{| class="wikitable"
{| class="wikitable"
! rowspan="2" |Number of small steps
! rowspan="2" |Number of small steps
! colspan="12" |Number of large steps
! colspan="10" |Number of large steps
|-
|-
!1
!1
Line 680: Line 871:
!9
!9
!10
!10
!11
!12
|-
|-
!1
!1
|[[1L 1s (3/1-equivalent)|1L 1s<3/1>]]
|[[1L 1s (3/1-equivalent)|1L 1s<3/1>]]
|[[2L 1s (3/1-equivalent)|2L 1s<3/1>]]
|[[2L 1s (3/1-equivalent)|2L 1s<3/1>]]
|[[3L 1s (3/1-equivalent)|3L 1s<3/1>]]
|[[3L 1s (3/1-equivalent)|3L 1s<3/1>]]
|[[4L 1s (3/1-equivalent)|4L 1s<3/1>]]
|[[4L 1s (3/1-equivalent)|4L 1s<3/1>]]
|[[5L 1s (3/1-equivalent)|5L 1s<3/1>]]
|[[5L 1s (3/1-equivalent)|5L 1s<3/1>]]
|[[6L 1s (3/1-equivalent)|6L 1s<3/1>]]
|[[6L 1s (3/1-equivalent)|6L 1s<3/1>]]
|[[7L 1s (3/1-equivalent)|7L 1s<3/1>]]
|[[7L 1s (3/1-equivalent)|7L 1s<3/1>]]
|[[8L 1s (3/1-equivalent)|8L 1s<3/1>]]
|[[8L 1s (3/1-equivalent)|8L 1s<3/1>]]
|[[9L 1s (3/1-equivalent)|9L 1s<3/1>]]
|[[9L 1s (3/1-equivalent)|9L 1s<3/1>]]
|[[10L 1s (3/1-equivalent)|10L 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>]]
|-
|-
!2
!2
|[[1L 2s (3/1-equivalent)|1L 2s<3/1>]]
|[[1L 2s (3/1-equivalent)|1L 2s<3/1>]]
|[[2L 2s (3/1-equivalent)|2L 2s<3/1>]]
|[[2L 2s (3/1-equivalent)|2L 2s<3/1>]]
|[[3L 2s (3/1-equivalent)|3L 2s<3/1>]]
|[[3L 2s (3/1-equivalent)|3L 2s<3/1>]]
Line 708: Line 895:
|[[9L 2s (3/1-equivalent)|9L 2s<3/1>]]
|[[9L 2s (3/1-equivalent)|9L 2s<3/1>]]
|[[10L 2s (3/1-equivalent)|10L 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>]]
|-
|-
!3
!3
|[[1L 3s (3/1-equivalent)|1L 3s<3/1>]]
|[[1L 3s (3/1-equivalent)|1L 3s<3/1>]]
|[[2L 3s (3/1-equivalent)|2L 3s<3/1>]]
|[[2L 3s (3/1-equivalent)|2L 3s<3/1>]]
|[[3L 3s (3/1-equivalent)|3L 3s<3/1>]]
|[[3L 3s (3/1-equivalent)|3L 3s<3/1>]]
Line 722: Line 907:
|[[9L 3s (3/1-equivalent)|9L 3s<3/1>]]
|[[9L 3s (3/1-equivalent)|9L 3s<3/1>]]
|[[10L 3s (3/1-equivalent)|10L 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>]]
|-
|-
!4
!4
|[[1L 4s (3/1-equivalent)|1L 4s<3/1>]]
|[[1L 4s (3/1-equivalent)|1L 4s<3/1>]]
|[[2L 4s (3/1-equivalent)|2L 4s<3/1>]]
|[[2L 4s (3/1-equivalent)|2L 4s<3/1>]]
|[[3L 4s (3/1-equivalent)|3L 4s<3/1>]]
|[[3L 4s (3/1-equivalent)|3L 4s<3/1>]]
Line 736: Line 919:
|[[9L 4s (3/1-equivalent)|9L 4s<3/1>]]
|[[9L 4s (3/1-equivalent)|9L 4s<3/1>]]
|[[10L 4s (3/1-equivalent)|10L 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>]]
|-
|-
!5
!5
|[[1L 5s (3/1-equivalent)|1L 5s<3/1>]]
|[[1L 5s (3/1-equivalent)|1L 5s<3/1>]]
|[[2L 5s (3/1-equivalent)|2L 5s<3/1>]]
|[[2L 5s (3/1-equivalent)|2L 5s<3/1>]]
|[[3L 5s (3/1-equivalent)|3L 5s<3/1>]]
|[[3L 5s (3/1-equivalent)|3L 5s<3/1>]]
Line 750: Line 931:
|[[9L 5s (3/1-equivalent)|9L 5s<3/1>]]
|[[9L 5s (3/1-equivalent)|9L 5s<3/1>]]
|[[10L 5s (3/1-equivalent)|10L 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>]]
|-
|-
!6
!6
|[[1L 6s (3/1-equivalent)|1L 6s<3/1>]]
|[[1L 6s (3/1-equivalent)|1L 6s<3/1>]]
|[[2L 6s (3/1-equivalent)|2L 6s<3/1>]]
|[[2L 6s (3/1-equivalent)|2L 6s<3/1>]]
|[[3L 6s (3/1-equivalent)|3L 6s<3/1>]]
|[[3L 6s (3/1-equivalent)|3L 6s<3/1>]]
Line 764: Line 943:
|[[9L 6s (3/1-equivalent)|9L 6s<3/1>]]
|[[9L 6s (3/1-equivalent)|9L 6s<3/1>]]
|[[10L 6s (3/1-equivalent)|10L 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>]]
|-
|-
!7
!7
|[[1L 7s (3/1-equivalent)|1L 7s<3/1>]]
|[[1L 7s (3/1-equivalent)|1L 7s<3/1>]]
|[[2L 7s (3/1-equivalent)|2L 7s<3/1>]]
|[[2L 7s (3/1-equivalent)|2L 7s<3/1>]]
|[[3L 7s (3/1-equivalent)|3L 7s<3/1>]]
|[[3L 7s (3/1-equivalent)|3L 7s<3/1>]]
Line 778: Line 955:
|[[9L 7s (3/1-equivalent)|9L 7s<3/1>]]
|[[9L 7s (3/1-equivalent)|9L 7s<3/1>]]
|[[10L 7s (3/1-equivalent)|10L 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>]]
|-
|-
!8
!8
|[[1L 8s (3/1-equivalent)|1L 8s<3/1>]]
|[[1L 8s (3/1-equivalent)|1L 8s<3/1>]]
|[[2L 8s (3/1-equivalent)|2L 8s<3/1>]]
|[[2L 8s (3/1-equivalent)|2L 8s<3/1>]]
|[[3L 8s (3/1-equivalent)|3L 8s<3/1>]]
|[[3L 8s (3/1-equivalent)|3L 8s<3/1>]]
Line 792: Line 967:
|[[9L 8s (3/1-equivalent)|9L 8s<3/1>]]
|[[9L 8s (3/1-equivalent)|9L 8s<3/1>]]
|[[10L 8s (3/1-equivalent)|10L 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
!9
|[[1L 9s (3/1-equivalent)|1L 9s<3/1>]]
|[[1L 9s (3/1-equivalent)|1L 9s<3/1>]]
|[[2L 9s (3/1-equivalent)|2L 9s<3/1>]]
|[[2L 9s (3/1-equivalent)|2L 9s<3/1>]]
|[[3L 9s (3/1-equivalent)|3L 9s<3/1>]]
|[[3L 9s (3/1-equivalent)|3L 9s<3/1>]]
Line 806: Line 979:
|[[9L 9s (3/1-equivalent)|9L 9s<3/1>]]
|[[9L 9s (3/1-equivalent)|9L 9s<3/1>]]
|[[10L 9s (3/1-equivalent)|10L 9s<3/1>]]
|[[10L 9s (3/1-equivalent)|10L 9s<3/1>]]
|[[11L 9s (3/1-equivalent)|11L 9s<3/1>]]
|[[12L 9s (3/1-equivalent)|12L 9s<3/1>]]
|-
|-
!10
!10
|[[1L 10s (3/1-equivalent)|1L 10s<3/1>]]
|[[1L 10s (3/1-equivalent)|1L 10s<3/1>]]
|[[2L 10s (3/1-equivalent)|2L 10s<3/1>]]
|[[2L 10s (3/1-equivalent)|2L 10s<3/1>]]
|[[3L 10s (3/1-equivalent)|3L 10s<3/1>]]
|[[3L 10s (3/1-equivalent)|3L 10s<3/1>]]
Line 820: Line 991:
|[[9L 10s (3/1-equivalent)|9L 10s<3/1>]]
|[[9L 10s (3/1-equivalent)|9L 10s<3/1>]]
|[[10L 10s (3/1-equivalent)|10L 10s<3/1>]]
|[[10L 10s (3/1-equivalent)|10L 10s<3/1>]]
|[[11L 10s (3/1-equivalent)|11L 10s<3/1>]]
|[[12L 10s (3/1-equivalent)|12L 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>]]
|[[10L 11s (3/1-equivalent)|10L 11s<3/1>]]
|[[11L 11s (3/1-equivalent)|11L 11s<3/1>]]
|[[12L 11s (3/1-equivalent)|12L 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>]]
|[[9L 12s (3/1-equivalent)|9L 12s<3/1>]]
|[[10L 12s (3/1-equivalent)|10L 12s<3/1>]]
|[[11L 12s (3/1-equivalent)|11L 12s<3/1>]]
|[[12L 12s (3/1-equivalent)|12L 12s<3/1>]]
|}
|}

Revision as of 02:10, 2 April 2023

This is an attempt at rewriting the following page: Catalog of MOS

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. These catalogues are not comprehensive; some pages may be missing or outside the bounds of the catalog itself.

Catalog of 2/1-equivalent mosses

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
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
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
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
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
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
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
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
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
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
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
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
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
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 20L 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
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
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
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
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
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

Catalog of 3/1-equivalent mosses

Number of small steps Number of large steps
1 2 3 4 5 6 7 8 9 10
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> 7L 1s<3/2> 8L 1s<3/2> 9L 1s<3/2> 10L 1s<3/2>
2 1L 2s<3/2> 2L 2s<3/2> 3L 2s<3/2> 4L 2s<3/2> 5L 2s<3/2> 6L 2s<3/2> 7L 2s<3/2> 8L 2s<3/2> 9L 2s<3/2> 10L 2s<3/2>
3 1L 3s<3/2> 2L 3s<3/2> 3L 3s<3/2> 4L 3s<3/2> 5L 3s<3/2> 6L 3s<3/2> 7L 3s<3/2> 8L 3s<3/2> 9L 3s<3/2> 10L 3s<3/2>
4 1L 4s<3/2> 2L 4s<3/2> 3L 4s<3/2> 4L 4s<3/2> 5L 4s<3/2> 6L 4s<3/2> 7L 4s<3/2> 8L 4s<3/2> 9L 4s<3/2> 10L 4s<3/2>
5 1L 5s<3/2> 2L 5s<3/2> 3L 5s<3/2> 4L 5s<3/2> 5L 5s<3/2> 6L 5s<3/2> 7L 5s<3/2> 8L 5s<3/2> 9L 5s<3/2> 10L 5s<3/2>
6 1L 6s<3/2> 2L 6s<3/2> 3L 6s<3/2> 4L 6s<3/2> 5L 6s<3/2> 6L 6s<3/2> 7L 6s<3/2> 8L 6s<3/2> 9L 6s<3/2> 10L 6s<3/2>
7 1L 7s<3/2> 2L 7s<3/2> 3L 7s<3/2> 4L 7s<3/2> 5L 7s<3/2> 6L 7s<3/2> 7L 7s<3/2> 8L 7s<3/2> 9L 7s<3/2> 10L 7s<3/2>
8 1L 8s<3/2> 2L 8s<3/2> 3L 8s<3/2> 4L 8s<3/2> 5L 8s<3/2> 6L 8s<3/2> 7L 8s<3/2> 8L 8s<3/2> 9L 8s<3/2> 10L 8s<3/2>
9 1L 9s<3/2> 2L 9s<3/2> 3L 9s<3/2> 4L 9s<3/2> 5L 9s<3/2> 6L 9s<3/2> 7L 9s<3/2> 8L 9s<3/2> 9L 9s<3/2> 10L 9s<3/2>
10 1L 10s<3/2> 2L 10s<3/2> 3L 10s<3/2> 4L 10s<3/2> 5L 10s<3/2> 6L 10s<3/2> 7L 10s<3/2> 8L 10s<3/2> 9L 10s<3/2> 10L 10s<3/2>

Catalog of 3/2-equivalent mosses

Number of small steps Number of large steps
1 2 3 4 5 6 7 8 9 10
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>
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>
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>
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>
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>
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>
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>
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>
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> 10L 10s<3/1>
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