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
Related to	4L 5s (gramitonic)
With tunings	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 ¢)
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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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