16L 3s

↖ 15L 2s	↑ 16L 2s	17L 2s ↗
← 15L 3s	16L 3s	17L 3s →
↙ 15L 4s	↓ 16L 4s	17L 4s ↘

┌╥╥╥╥╥╥┬╥╥╥╥╥┬╥╥╥╥╥┬┐ │║║║║║║│║║║║║│║║║║║││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLLLsLLLLLsLLLLLs sLLLLLsLLLLLsLLLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	13\19 to 11\16 (821.1 ¢ to 825.0 ¢)
Dark	5\16 to 6\19 (375.0 ¢ to 378.9 ¢)
TAMNAMS information
Related to	3L 7s (sephiroid)
With tunings	3:1 to 4:1 (parahard)
Related MOS scales
Parent	3L 13s
Sister	3L 16s
Daughters	19L 16s, 16L 19s
Neutralized	13L 6s
2-Flought	35L 3s, 16L 22s
Equal tunings
Equalized (L:s = 1:1)	13\19 (821.1 ¢)
Supersoft (L:s = 4:3)	50\73 (821.9 ¢)
Soft (L:s = 3:2)	37\54 (822.2 ¢)
Semisoft (L:s = 5:3)	61\89 (822.5 ¢)
Basic (L:s = 2:1)	24\35 (822.9 ¢)
Semihard (L:s = 5:2)	59\86 (823.3 ¢)
Hard (L:s = 3:1)	35\51 (823.5 ¢)
Superhard (L:s = 4:1)	46\67 (823.9 ¢)
Collapsed (L:s = 1:0)	11\16 (825.0 ¢)

16L 3s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 16 large steps and 3 small steps, repeating every octave. 16L 3s is a great-grandchild scale of 3L 7s, expanding it by 9 tones. Generators that produce this scale range from 821.1 ¢ to 825 ¢, or from 375 ¢ to 378.9 ¢. The 16L 3s MOS scale divides its large steps 6-5-5 between its small steps.

5/16					375
				26/83	375.904
			21/67		376.119
				37/118	376.271
					376.409
		16/51			376.471
					376.613
				43/137	376.642
					376.671
			27/86		376.744
				38/121	376.8595
					120*pi
	11/35				377.143
				39/124	377.419
					377.442
			28/89		377.528
					377.596
				45/143	377.662
					377.666
		17/54			377.778
				40/127	377.953
			23/73		378.082
				29/92	378.261
6/19					378.947