5L 12s

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Adopt scale tree template, review entries

↖ 4L 11s ↑ 5L 11s 6L 11s ↗
← 4L 12s 5L 12s 6L 12s →
↙ 4L 13s ↓ 5L 13s 6L 13s ↘
┌╥┬┬╥┬┬╥┬┬┬╥┬┬╥┬┬┬┐
│║││║││║│││║││║││││
│││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LssLssLsssLssLsss
sssLssLsssLssLssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 10\17 to 3\5 (705.9 ¢ to 720.0 ¢)
Dark 2\5 to 7\17 (480.0 ¢ to 494.1 ¢)
TAMNAMS information
Related to 5L 2s (diatonic)
With tunings 3:1 to 1:0 (hard)
Related MOS scales
Parent 5L 7s
Sister 12L 5s
Daughters 17L 5s, 5L 17s
Neutralized 10L 7s
2-Flought 22L 12s, 5L 29s
Equal tunings
Equalized (L:s = 1:1) 10\17 (705.9 ¢)
Supersoft (L:s = 4:3) 33\56 (707.1 ¢)
Soft (L:s = 3:2) 23\39 (707.7 ¢)
Semisoft (L:s = 5:3) 36\61 (708.2 ¢)
Basic (L:s = 2:1) 13\22 (709.1 ¢)
Semihard (L:s = 5:2) 29\49 (710.2 ¢)
Hard (L:s = 3:1) 16\27 (711.1 ¢)
Superhard (L:s = 4:1) 19\32 (712.5 ¢)
Collapsed (L:s = 1:0) 3\5 (720.0 ¢)

5L 12s, also called s-enharmonic, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 12 small steps, repeating every octave. 5L 12s is a grandchild scale of 5L 2s, expanding it by 10 tones. Generators that produce this scale range from 705.9 ¢ to 720 ¢, or from 480 ¢ to 494.1 ¢. This scale is characterized by having a diesis (the difference between a large step and two small steps) that is larger than the chroma.

The supra/quasisuper version is proper, but the superpyth/ultrapyth version is improper (it does not become proper until you add 5 more notes to form the superpyth 22-note scale).

Modes

Modes of 5L 12s
UDP Cyclic
order
Step
pattern
16|0 1 LssLssLsssLssLsss
15|1 11 LssLsssLssLssLsss
14|2 4 LssLsssLssLsssLss
13|3 14 LsssLssLssLsssLss
12|4 7 LsssLssLsssLssLss
11|5 17 sLssLssLsssLssLss
10|6 10 sLssLsssLssLssLss
9|7 3 sLssLsssLssLsssLs
8|8 13 sLsssLssLssLsssLs
7|9 6 sLsssLssLsssLssLs
6|10 16 ssLssLssLsssLssLs
5|11 9 ssLssLsssLssLssLs
4|12 2 ssLssLsssLssLsssL
3|13 12 ssLsssLssLssLsssL
2|14 5 ssLsssLssLsssLssL
1|15 15 sssLssLssLsssLssL
0|16 8 sssLssLsssLssLssL

Scale tree

Template:Scale tree