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

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Sandboxed mos tables
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|13L 2s
|13L 2s
|14L 1s
|14L 1s
|}
== Mosses by equivalence interval ==
Since the concept of mosses can be generalized to non-octave equaves, this section is a catalog of non-octave mosses, namely 3/1 (tritave) and 3/2 (fifth) equivalent mosses. These catalogues are not comprehensive, and some pages may be missing.
=== Catalog of 2/1-equivalent mosses ===
{| class="wikitable"
! rowspan="2" |Number of small steps
! colspan="15" |Number of large steps
|-
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
|-
!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]]
|-
!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]]
|-
!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]]
|-
!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]]
|-
!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]]
|-
!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]]
|-
!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]]
|-
!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]]
|-
!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]]
|-
!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]]
|-
!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]]
|-
!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]]
|-
!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]]
|-
!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]]
|-
!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]]
|}
=== Catalog of 3/1-equivalent mosses ===
{| class="wikitable"
! rowspan="2" |Number of small steps
! colspan="10" |Number of large steps
|-
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
|-
!1
|[[1L 1s (3/2-equivalent)|1L 1s<3/2>]]
|[[2L 1s (3/2-equivalent)|2L 1s<3/2>]]
|[[3L 1s (3/2-equivalent)|3L 1s<3/2>]]
|[[4L 1s (3/2-equivalent)|4L 1s<3/2>]]
|[[5L 1s (3/2-equivalent)|5L 1s<3/2>]]
|[[6L 1s (3/2-equivalent)|6L 1s<3/2>]]
|[[7L 1s (3/2-equivalent)|7L 1s<3/2>]]
|[[8L 1s (3/2-equivalent)|8L 1s<3/2>]]
|[[9L 1s (3/2-equivalent)|9L 1s<3/2>]]
|[[10L 1s (3/2-equivalent)|10L 1s<3/2>]]
|-
!2
|[[1L 2s (3/2-equivalent)|1L 2s<3/2>]]
|[[2L 2s (3/2-equivalent)|2L 2s<3/2>]]
|[[3L 2s (3/2-equivalent)|3L 2s<3/2>]]
|[[4L 2s (3/2-equivalent)|4L 2s<3/2>]]
|[[5L 2s (3/2-equivalent)|5L 2s<3/2>]]
|[[6L 2s (3/2-equivalent)|6L 2s<3/2>]]
|[[7L 2s (3/2-equivalent)|7L 2s<3/2>]]
|[[8L 2s (3/2-equivalent)|8L 2s<3/2>]]
|[[9L 2s (3/2-equivalent)|9L 2s<3/2>]]
|[[10L 2s (3/2-equivalent)|10L 2s<3/2>]]
|-
!3
|[[1L 3s (3/2-equivalent)|1L 3s<3/2>]]
|[[2L 3s (3/2-equivalent)|2L 3s<3/2>]]
|[[3L 3s (3/2-equivalent)|3L 3s<3/2>]]
|[[4L 3s (3/2-equivalent)|4L 3s<3/2>]]
|[[5L 3s (3/2-equivalent)|5L 3s<3/2>]]
|[[6L 3s (3/2-equivalent)|6L 3s<3/2>]]
|[[7L 3s (3/2-equivalent)|7L 3s<3/2>]]
|[[8L 3s (3/2-equivalent)|8L 3s<3/2>]]
|[[9L 3s (3/2-equivalent)|9L 3s<3/2>]]
|[[10L 3s (3/2-equivalent)|10L 3s<3/2>]]
|-
!4
|[[1L 4s (3/2-equivalent)|1L 4s<3/2>]]
|[[2L 4s (3/2-equivalent)|2L 4s<3/2>]]
|[[3L 4s (3/2-equivalent)|3L 4s<3/2>]]
|[[4L 4s (3/2-equivalent)|4L 4s<3/2>]]
|[[5L 4s (3/2-equivalent)|5L 4s<3/2>]]
|[[6L 4s (3/2-equivalent)|6L 4s<3/2>]]
|[[7L 4s (3/2-equivalent)|7L 4s<3/2>]]
|[[8L 4s (3/2-equivalent)|8L 4s<3/2>]]
|[[9L 4s (3/2-equivalent)|9L 4s<3/2>]]
|[[10L 4s (3/2-equivalent)|10L 4s<3/2>]]
|-
!5
|[[1L 5s (3/2-equivalent)|1L 5s<3/2>]]
|[[2L 5s (3/2-equivalent)|2L 5s<3/2>]]
|[[3L 5s (3/2-equivalent)|3L 5s<3/2>]]
|[[4L 5s (3/2-equivalent)|4L 5s<3/2>]]
|[[5L 5s (3/2-equivalent)|5L 5s<3/2>]]
|[[6L 5s (3/2-equivalent)|6L 5s<3/2>]]
|[[7L 5s (3/2-equivalent)|7L 5s<3/2>]]
|[[8L 5s (3/2-equivalent)|8L 5s<3/2>]]
|[[9L 5s (3/2-equivalent)|9L 5s<3/2>]]
|[[10L 5s (3/2-equivalent)|10L 5s<3/2>]]
|-
!6
|[[1L 6s (3/2-equivalent)|1L 6s<3/2>]]
|[[2L 6s (3/2-equivalent)|2L 6s<3/2>]]
|[[3L 6s (3/2-equivalent)|3L 6s<3/2>]]
|[[4L 6s (3/2-equivalent)|4L 6s<3/2>]]
|[[5L 6s (3/2-equivalent)|5L 6s<3/2>]]
|[[6L 6s (3/2-equivalent)|6L 6s<3/2>]]
|[[7L 6s (3/2-equivalent)|7L 6s<3/2>]]
|[[8L 6s (3/2-equivalent)|8L 6s<3/2>]]
|[[9L 6s (3/2-equivalent)|9L 6s<3/2>]]
|[[10L 6s (3/2-equivalent)|10L 6s<3/2>]]
|-
!7
|[[1L 7s (3/2-equivalent)|1L 7s<3/2>]]
|[[2L 7s (3/2-equivalent)|2L 7s<3/2>]]
|[[3L 7s (3/2-equivalent)|3L 7s<3/2>]]
|[[4L 7s (3/2-equivalent)|4L 7s<3/2>]]
|[[5L 7s (3/2-equivalent)|5L 7s<3/2>]]
|[[6L 7s (3/2-equivalent)|6L 7s<3/2>]]
|[[7L 7s (3/2-equivalent)|7L 7s<3/2>]]
|[[8L 7s (3/2-equivalent)|8L 7s<3/2>]]
|[[9L 7s (3/2-equivalent)|9L 7s<3/2>]]
|[[10L 7s (3/2-equivalent)|10L 7s<3/2>]]
|-
!8
|[[1L 8s (3/2-equivalent)|1L 8s<3/2>]]
|[[2L 8s (3/2-equivalent)|2L 8s<3/2>]]
|[[3L 8s (3/2-equivalent)|3L 8s<3/2>]]
|[[4L 8s (3/2-equivalent)|4L 8s<3/2>]]
|[[5L 8s (3/2-equivalent)|5L 8s<3/2>]]
|[[6L 8s (3/2-equivalent)|6L 8s<3/2>]]
|[[7L 8s (3/2-equivalent)|7L 8s<3/2>]]
|[[8L 8s (3/2-equivalent)|8L 8s<3/2>]]
|[[9L 8s (3/2-equivalent)|9L 8s<3/2>]]
|[[10L 8s (3/2-equivalent)|10L 8s<3/2>]]
|-
!9
|[[1L 9s (3/2-equivalent)|1L 9s<3/2>]]
|[[2L 9s (3/2-equivalent)|2L 9s<3/2>]]
|[[3L 9s (3/2-equivalent)|3L 9s<3/2>]]
|[[4L 9s (3/2-equivalent)|4L 9s<3/2>]]
|[[5L 9s (3/2-equivalent)|5L 9s<3/2>]]
|[[6L 9s (3/2-equivalent)|6L 9s<3/2>]]
|[[7L 9s (3/2-equivalent)|7L 9s<3/2>]]
|[[8L 9s (3/2-equivalent)|8L 9s<3/2>]]
|[[9L 9s (3/2-equivalent)|9L 9s<3/2>]]
|[[10L 9s (3/2-equivalent)|10L 9s<3/2>]]
|-
!10
|[[1L 10s (3/2-equivalent)|1L 10s<3/2>]]
|[[2L 10s (3/2-equivalent)|2L 10s<3/2>]]
|[[3L 10s (3/2-equivalent)|3L 10s<3/2>]]
|[[4L 10s (3/2-equivalent)|4L 10s<3/2>]]
|[[5L 10s (3/2-equivalent)|5L 10s<3/2>]]
|[[6L 10s (3/2-equivalent)|6L 10s<3/2>]]
|[[7L 10s (3/2-equivalent)|7L 10s<3/2>]]
|[[8L 10s (3/2-equivalent)|8L 10s<3/2>]]
|[[9L 10s (3/2-equivalent)|9L 10s<3/2>]]
|[[10L 10s (3/2-equivalent)|10L 10s<3/2>]]
|}
=== Catalog of 3/2-equivalent mosses ===
{| class="wikitable"
! rowspan="2" |Number of small steps
! colspan="12" |Number of large steps
|-
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
|-
!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>]]
|-
!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>]]
|-
!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>]]
|-
!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>]]
|-
!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>]]
|-
!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>]]
|-
!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>]]
|-
!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>]]
|[[12L 9s (3/1-equivalent)|12L 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>]]
|[[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 23:07, 1 April 2023

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.

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

Since the concept of mosses can be generalized to non-octave equaves, this section is a catalog of non-octave mosses, namely 3/1 (tritave) and 3/2 (fifth) equivalent mosses. These catalogues are not comprehensive, and some pages may be missing.

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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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

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 11 12
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>
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>
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>
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>
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>
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>
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> 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> 12L 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> 11L 10s<3/1> 12L 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> 10L 11s<3/1> 11L 11s<3/1> 12L 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> 9L 12s<3/1> 10L 12s<3/1> 11L 12s<3/1> 12L 12s<3/1>
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