4L 10s

Revision as of 05:09, 29 February 2024 by Ganaram inukshuk (talk | contribs) (Removed redundant mention of generator range, replaced scale tree)
↖ 3L 9s ↑ 4L 9s 5L 9s ↗
← 3L 10s 4L 10s 5L 10s →
↙ 3L 11s ↓ 4L 11s 5L 11s ↘
┌╥┬┬╥┬┬┬╥┬┬╥┬┬┬┐
│║││║│││║││║││││
││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LssLsssLssLsss
sssLssLsssLssL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 3\14 to 1\4 (257.1 ¢ to 300.0 ¢)
Dark 1\4 to 4\14 (300.0 ¢ to 342.9 ¢)
TAMNAMS information
Related to 4L 6s (lime)
With tunings 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 4L 6s
Sister 10L 4s
Daughters 14L 4s, 4L 14s
Neutralized 8L 6s
2-Flought 18L 10s, 4L 24s
Equal tunings
Equalized (L:s = 1:1) 3\14 (257.1 ¢)
Supersoft (L:s = 4:3) 10\46 (260.9 ¢)
Soft (L:s = 3:2) 7\32 (262.5 ¢)
Semisoft (L:s = 5:3) 11\50 (264.0 ¢)
Basic (L:s = 2:1) 4\18 (266.7 ¢)
Semihard (L:s = 5:2) 9\40 (270.0 ¢)
Hard (L:s = 3:1) 5\22 (272.7 ¢)
Superhard (L:s = 4:1) 6\26 (276.9 ¢)
Collapsed (L:s = 1:0) 1\4 (300.0 ¢)

4L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 10 small steps, with a period of 2 large steps and 5 small steps that repeats every 600.0 ¢, or twice every octave. 4L 10s is a child scale of 4L 6s, expanding it by 4 tones. Generators that produce this scale range from 257.1 ¢ to 300 ¢, or from 300 ¢ to 342.9 ¢. The generator range puts a minor third (300 to 342.857 cents) -1 generator away from the period and 38edo almost exactly at the harmonic entropy minimum for its pattern. Template:Scale tree