User:Ganaram inukshuk/Catalog of MOS Scales

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

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
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>