4L 21s

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↖ 3L 20s ↑4L 20s 5L 20s ↗
← 3L 21s4L 21s 5L 21s →
↙ 3L 22s ↓4L 22s 5L 22s ↘
┌╥┬┬┬┬┬╥┬┬┬┬┬╥┬┬┬┬┬╥┬┬┬┬┬┬┐
│║│││││║│││││║│││││║│││││││
│││││││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsssssLsssssLsssssLssssss
ssssssLsssssLsssssLsssssL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 6\25 to 1\4 (288.0¢ to 300.0¢)
Dark 3\4 to 19\25 (900.0¢ to 912.0¢)
TAMNAMS information
Descends from 4L 5s (gramitonic)
Ancestor's step ratio range 5:1 to 1:0
Related MOS scales
Parent 4L 17s
Sister 21L 4s
Daughters 25L 4s, 4L 25s
Neutralized 8L 17s
2-Flought 29L 21s, 4L 46s
Equal tunings
Equalized (L:s = 1:1) 6\25 (288.0¢)
Supersoft (L:s = 4:3) 19\79 (288.6¢)
Soft (L:s = 3:2) 13\54 (288.9¢)
Semisoft (L:s = 5:3) 20\83 (289.2¢)
Basic (L:s = 2:1) 7\29 (289.7¢)
Semihard (L:s = 5:2) 15\62 (290.3¢)
Hard (L:s = 3:1) 8\33 (290.9¢)
Superhard (L:s = 4:1) 9\37 (291.9¢)
Collapsed (L:s = 1:0) 1\4 (300.0¢)

4L 21s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 21 small steps, repeating every octave. 4L 21s is related to 4L 5s, expanding it by 16 tones. Generators that produce this scale range from 288¢ to 300¢, or from 900¢ to 912¢. This scale is associated with moulin temperament, which includes a very precise 8:11:13 triad. Eliora proposes the name moulinoid for this pattern.