16L 4s

↖ 15L 3s	↑ 16L 3s	17L 3s ↗
← 15L 4s	16L 4s	17L 4s →
↙ 15L 5s	↓ 16L 5s	17L 5s ↘

┌╥╥╥╥┬╥╥╥╥┬╥╥╥╥┬╥╥╥╥┬┐ │║║║║│║║║║│║║║║│║║║║││ ││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLsLLLLsLLLLsLLLLs sLLLLsLLLLsLLLLsLLLL
Equave	2/1 (1200.0 ¢)
Period	1\4 (300.0 ¢)
Generator size
Bright	1\20 to 1\16 (60.0 ¢ to 75.0 ¢)
Dark	3\16 to 4\20 (225.0 ¢ to 240.0 ¢)
TAMNAMS information
Related to	4L 4s (tetrawood)
With tunings	3:1 to 4:1 (parahard)
Related MOS scales
Parent	4L 12s
Sister	4L 16s
Daughters	20L 16s, 16L 20s
Neutralized	12L 8s
2-Flought	36L 4s, 16L 24s
Equal tunings
Equalized (L:s = 1:1)	1\20 (60.0 ¢)
Supersoft (L:s = 4:3)	4\76 (63.2 ¢)
Soft (L:s = 3:2)	3\56 (64.3 ¢)
Semisoft (L:s = 5:3)	5\92 (65.2 ¢)
Basic (L:s = 2:1)	2\36 (66.7 ¢)
Semihard (L:s = 5:2)	5\88 (68.2 ¢)
Hard (L:s = 3:1)	3\52 (69.2 ¢)
Superhard (L:s = 4:1)	4\68 (70.6 ¢)
Collapsed (L:s = 1:0)	1\16 (75.0 ¢)

16L 4s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 16 large steps and 4 small steps, with a period of 4 large steps and 1 small step that repeats every 300.0 ¢, or 4 times every octave. 16L 4s is a great-grandchild scale of 4L 4s, expanding it by 12 tones. Generators that produce this scale range from 60 ¢ to 75 ¢, or from 225 ¢ to 240 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

Modes

Modes of 16L 4s

UDP	Cyclic order	Step pattern
16|0(4)	1	LLLLsLLLLsLLLLsLLLLs
12|4(4)	2	LLLsLLLLsLLLLsLLLLsL
8|8(4)	3	LLsLLLLsLLLLsLLLLsLL
4|12(4)	4	LsLLLLsLLLLsLLLLsLLL
0|16(4)	5	sLLLLsLLLLsLLLLsLLLL