User:Ganaram inukshuk/Catalog of MOS Scales: Difference between revisions
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m Headers were in the wrong order; established equave order of 2/1, 3/1, and 3/2 |
→Mosses by equivalence interval: Expanded table of mosses |
||
Line 254: | Line 254: | ||
=== Catalog of 2/1-equivalent mosses === | === Catalog of 2/1-equivalent mosses === | ||
{| class="wikitable" | {| class="wikitable" | ||
! rowspan="2" |Number of | ! rowspan="2" |Number of large steps | ||
! colspan=" | ! colspan="25" |Number of small steps | ||
|- | |- | ||
!1 | !1 | ||
Line 277: | Line 277: | ||
!19 | !19 | ||
!20 | !20 | ||
!21 | |||
!22 | |||
!23 | |||
!24 | |||
!25 | |||
|- | |- | ||
!1 | !1 | ||
Line 299: | Line 304: | ||
|[[19L 1s]] | |[[19L 1s]] | ||
|[[20L 1s]] | |[[20L 1s]] | ||
|[[21L 1s]] | |||
|[[22L 1s]] | |||
|[[23L 1s]] | |||
|[[24L 1s]] | |||
|[[25L 1s]] | |||
|- | |- | ||
!2 | !2 | ||
Line 321: | Line 331: | ||
|[[19L 2s]] | |[[19L 2s]] | ||
|[[20L 2s]] | |[[20L 2s]] | ||
|[[21L 2s]] | |||
|[[22L 2s]] | |||
|[[23L 2s]] | |||
|[[24L 2s]] | |||
|[[25L 2s]] | |||
|- | |- | ||
!3 | !3 | ||
Line 343: | Line 358: | ||
|[[19L 3s]] | |[[19L 3s]] | ||
|[[20L 3s]] | |[[20L 3s]] | ||
|[[21L 3s]] | |||
|[[22L 3s]] | |||
|[[23L 3s]] | |||
|[[24L 3s]] | |||
|[[25L 3s]] | |||
|- | |- | ||
!4 | !4 | ||
Line 365: | Line 385: | ||
|[[19L 4s]] | |[[19L 4s]] | ||
|[[20L 4s]] | |[[20L 4s]] | ||
|[[21L 4s]] | |||
|[[22L 4s]] | |||
|[[23L 4s]] | |||
|[[24L 4s]] | |||
|[[25L 4s]] | |||
|- | |- | ||
!5 | !5 | ||
Line 387: | Line 412: | ||
|[[19L 5s]] | |[[19L 5s]] | ||
|[[20L 5s]] | |[[20L 5s]] | ||
|[[21L 5s]] | |||
|[[22L 5s]] | |||
|[[23L 5s]] | |||
|[[24L 5s]] | |||
|[[25L 5s]] | |||
|- | |- | ||
!6 | !6 | ||
Line 409: | Line 439: | ||
|[[19L 6s]] | |[[19L 6s]] | ||
|[[20L 6s]] | |[[20L 6s]] | ||
|[[21L 6s]] | |||
|[[22L 6s]] | |||
|[[23L 6s]] | |||
|[[24L 6s]] | |||
|[[25L 6s]] | |||
|- | |- | ||
!7 | !7 | ||
Line 431: | Line 466: | ||
|[[19L 7s]] | |[[19L 7s]] | ||
|[[20L 7s]] | |[[20L 7s]] | ||
|[[21L 7s]] | |||
|[[22L 7s]] | |||
|[[23L 7s]] | |||
|[[24L 7s]] | |||
|[[25L 7s]] | |||
|- | |- | ||
!8 | !8 | ||
Line 453: | Line 493: | ||
|[[19L 8s]] | |[[19L 8s]] | ||
|[[20L 8s]] | |[[20L 8s]] | ||
|[[21L 8s]] | |||
|[[22L 8s]] | |||
|[[23L 8s]] | |||
|[[24L 8s]] | |||
|[[25L 8s]] | |||
|- | |- | ||
!9 | !9 | ||
Line 475: | Line 520: | ||
|[[19L 9s]] | |[[19L 9s]] | ||
|[[20L 9s]] | |[[20L 9s]] | ||
|[[21L 9s]] | |||
|[[22L 9s]] | |||
|[[23L 9s]] | |||
|[[24L 9s]] | |||
|[[25L 9s]] | |||
|- | |- | ||
!10 | !10 | ||
Line 486: | Line 536: | ||
|[[8L 10s]] | |[[8L 10s]] | ||
|[[9L 10s]] | |[[9L 10s]] | ||
|[[10L | |[[10L 10s]] | ||
|[[11L | |[[11L 10s]] | ||
|[[12L | |[[12L 10s]] | ||
|[[13L | |[[13L 10s]] | ||
|[[14L | |[[14L 10s]] | ||
|[[15L | |[[15L 10s]] | ||
|[[16L | |[[16L 10s]] | ||
|[[17L | |[[17L 10s]] | ||
|[[18L | |[[18L 10s]] | ||
|[[19L | |[[19L 10s]] | ||
|[[20L | |[[20L 10s]] | ||
|[[21L 10s]] | |||
|[[22L 10s]] | |||
|[[23L 10s]] | |||
|[[24L 10s]] | |||
|[[25L 10s]] | |||
|- | |- | ||
!11 | !11 | ||
Line 508: | Line 563: | ||
|[[8L 11s]] | |[[8L 11s]] | ||
|[[9L 11s]] | |[[9L 11s]] | ||
|[[10L | |[[10L 11s]] | ||
|[[11L | |[[11L 11s]] | ||
|[[12L | |[[12L 11s]] | ||
|[[13L | |[[13L 11s]] | ||
|[[14L | |[[14L 11s]] | ||
|[[15L | |[[15L 11s]] | ||
|[[16L | |[[16L 11s]] | ||
|[[17L | |[[17L 11s]] | ||
|[[18L | |[[18L 11s]] | ||
|[[19L | |[[19L 11s]] | ||
|[[20L | |[[20L 11s]] | ||
|[[21L 11s]] | |||
|[[22L 11s]] | |||
|[[23L 11s]] | |||
|[[24L 11s]] | |||
|[[25L 11s]] | |||
|- | |- | ||
!12 | !12 | ||
Line 530: | Line 590: | ||
|[[8L 12s]] | |[[8L 12s]] | ||
|[[9L 12s]] | |[[9L 12s]] | ||
|[[10L | |[[10L 12s]] | ||
|[[11L | |[[11L 12s]] | ||
|[[12L | |[[12L 12s]] | ||
|[[13L | |[[13L 12s]] | ||
|[[14L | |[[14L 12s]] | ||
|[[15L | |[[15L 12s]] | ||
|[[16L | |[[16L 12s]] | ||
|[[17L | |[[17L 12s]] | ||
|[[18L | |[[18L 12s]] | ||
|[[19L | |[[19L 12s]] | ||
|[[20L | |[[20L 12s]] | ||
|[[21L 12s]] | |||
|[[22L 12s]] | |||
|[[23L 12s]] | |||
|[[24L 12s]] | |||
|[[25L 12s]] | |||
|- | |- | ||
!13 | !13 | ||
Line 552: | Line 617: | ||
|[[8L 13s]] | |[[8L 13s]] | ||
|[[9L 13s]] | |[[9L 13s]] | ||
|[[10L | |[[10L 13s]] | ||
|[[11L | |[[11L 13s]] | ||
|[[12L | |[[12L 13s]] | ||
|[[13L | |[[13L 13s]] | ||
|[[14L | |[[14L 13s]] | ||
|[[15L | |[[15L 13s]] | ||
|[[16L | |[[16L 13s]] | ||
|[[17L | |[[17L 13s]] | ||
|[[18L | |[[18L 13s]] | ||
|[[19L | |[[19L 13s]] | ||
|[[20L | |[[20L 13s]] | ||
|[[21L 13s]] | |||
|[[22L 13s]] | |||
|[[23L 13s]] | |||
|[[24L 13s]] | |||
|[[25L 13s]] | |||
|- | |- | ||
!14 | !14 | ||
Line 574: | Line 644: | ||
|[[8L 14s]] | |[[8L 14s]] | ||
|[[9L 14s]] | |[[9L 14s]] | ||
|[[10L | |[[10L 14s]] | ||
|[[11L | |[[11L 14s]] | ||
|[[12L | |[[12L 14s]] | ||
|[[13L | |[[13L 14s]] | ||
|[[14L | |[[14L 14s]] | ||
|[[15L | |[[15L 14s]] | ||
|[[16L | |[[16L 14s]] | ||
|[[17L | |[[17L 14s]] | ||
|[[18L | |[[18L 14s]] | ||
|[[19L | |[[19L 14s]] | ||
|[[20L | |[[20L 14s]] | ||
|[[21L 14s]] | |||
|[[22L 14s]] | |||
|[[23L 14s]] | |||
|[[24L 14s]] | |||
|[[25L 14s]] | |||
|- | |- | ||
!15 | !15 | ||
Line 596: | Line 671: | ||
|[[8L 15s]] | |[[8L 15s]] | ||
|[[9L 15s]] | |[[9L 15s]] | ||
|[[10L | |[[10L 15s]] | ||
|[[11L | |[[11L 15s]] | ||
|[[12L | |[[12L 15s]] | ||
|[[13L | |[[13L 15s]] | ||
|[[14L | |[[14L 15s]] | ||
|[[15L | |[[15L 15s]] | ||
|[[16L | |[[16L 15s]] | ||
|[[17L | |[[17L 15s]] | ||
|[[18L | |[[18L 15s]] | ||
|[[19L | |[[19L 15s]] | ||
|[[20L | |[[20L 15s]] | ||
|[[21L 15s]] | |||
|[[22L 15s]] | |||
|[[23L 15s]] | |||
|[[24L 15s]] | |||
|[[25L 15s]] | |||
|- | |- | ||
!16 | !16 | ||
Line 618: | Line 698: | ||
|[[8L 16s]] | |[[8L 16s]] | ||
|[[9L 16s]] | |[[9L 16s]] | ||
|[[10L | |[[10L 16s]] | ||
|[[11L | |[[11L 16s]] | ||
|[[12L | |[[12L 16s]] | ||
|[[13L | |[[13L 16s]] | ||
|[[14L | |[[14L 16s]] | ||
|[[15L | |[[15L 16s]] | ||
|[[16L | |[[16L 16s]] | ||
|[[17L | |[[17L 16s]] | ||
|[[18L | |[[18L 16s]] | ||
|[[19L | |[[19L 16s]] | ||
|[[20L | |[[20L 16s]] | ||
|[[21L 16s]] | |||
|[[22L 16s]] | |||
|[[23L 16s]] | |||
|[[24L 16s]] | |||
|[[25L 16s]] | |||
|- | |- | ||
!17 | !17 | ||
Line 640: | Line 725: | ||
|[[8L 17s]] | |[[8L 17s]] | ||
|[[9L 17s]] | |[[9L 17s]] | ||
|[[10L | |[[10L 17s]] | ||
|[[11L | |[[11L 17s]] | ||
|[[12L | |[[12L 17s]] | ||
|[[13L | |[[13L 17s]] | ||
|[[14L | |[[14L 17s]] | ||
|[[15L | |[[15L 17s]] | ||
|[[16L | |[[16L 17s]] | ||
|[[17L | |[[17L 17s]] | ||
|[[18L | |[[18L 17s]] | ||
|[[19L | |[[19L 17s]] | ||
|[[20L | |[[20L 17s]] | ||
|[[21L 17s]] | |||
|[[22L 17s]] | |||
|[[23L 17s]] | |||
|[[24L 17s]] | |||
|[[25L 17s]] | |||
|- | |- | ||
!18 | !18 | ||
Line 662: | Line 752: | ||
|[[8L 18s]] | |[[8L 18s]] | ||
|[[9L 18s]] | |[[9L 18s]] | ||
|[[10L | |[[10L 18s]] | ||
|[[11L | |[[11L 18s]] | ||
|[[12L | |[[12L 18s]] | ||
|[[13L | |[[13L 18s]] | ||
|[[14L | |[[14L 18s]] | ||
|[[15L | |[[15L 18s]] | ||
|[[16L | |[[16L 18s]] | ||
|[[17L | |[[17L 18s]] | ||
|[[18L | |[[18L 18s]] | ||
|[[19L | |[[19L 18s]] | ||
|[[20L | |[[20L 18s]] | ||
|[[21L 18s]] | |||
|[[22L 18s]] | |||
|[[23L 18s]] | |||
|[[24L 18s]] | |||
|[[25L 18s]] | |||
|- | |- | ||
!19 | !19 | ||
Line 684: | Line 779: | ||
|[[8L 19s]] | |[[8L 19s]] | ||
|[[9L 19s]] | |[[9L 19s]] | ||
|[[10L | |[[10L 19s]] | ||
|[[11L | |[[11L 19s]] | ||
|[[12L | |[[12L 19s]] | ||
|[[13L | |[[13L 19s]] | ||
|[[14L | |[[14L 19s]] | ||
|[[15L | |[[15L 19s]] | ||
|[[16L | |[[16L 19s]] | ||
|[[17L | |[[17L 19s]] | ||
|[[18L | |[[18L 19s]] | ||
|[[19L | |[[19L 19s]] | ||
|[[20L | |[[20L 19s]] | ||
|[[21L 19s]] | |||
|[[22L 19s]] | |||
|[[23L 19s]] | |||
|[[24L 19s]] | |||
|[[25L 19s]] | |||
|- | |- | ||
!20 | !20 | ||
Line 706: | Line 806: | ||
|[[8L 20s]] | |[[8L 20s]] | ||
|[[9L 20s]] | |[[9L 20s]] | ||
|[[10L | |[[10L 20s]] | ||
|[[11L | |[[11L 20s]] | ||
|[[12L | |[[12L 20s]] | ||
|[[13L | |[[13L 20s]] | ||
|[[14L | |[[14L 20s]] | ||
|[[15L | |[[15L 20s]] | ||
|[[16L | |[[16L 20s]] | ||
|[[17L | |[[17L 20s]] | ||
|[[18L | |[[18L 20s]] | ||
|[[19L | |[[19L 20s]] | ||
|[[20L | |[[20L 20s]] | ||
|[[21L 20s]] | |||
|[[22L 20s]] | |||
|[[23L 20s]] | |||
|[[24L 20s]] | |||
|[[25L 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]] | |||
|- | |||
!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]] | |||
|- | |||
!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]] | |||
|- | |||
!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]] | |||
|- | |||
!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]] | |||
|} | |} | ||
Revision as of 23:36, 4 February 2024
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.
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.