4L 21s

↖3L 20s	↑4L 20s	5L 20s↗
←3L 21s	4L 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)
Required step ratio range	5:1 to 1:0
Related MOS scales
Parent	4L 17s
Sister	21L 4s
Daughters	25L 4s 4L 25s
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.

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