3L 17s

↖ 2L 16s	↑ 3L 16s	4L 16s ↗
← 2L 17s	3L 17s	4L 17s →
↙ 2L 18s	↓ 3L 18s	4L 18s ↘

Scale structure
Step pattern	LsssssLssssssLssssss ssssssLssssssLsssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	13\20 to 2\3 (780.0 ¢ to 800.0 ¢)
Dark	1\3 to 7\20 (400.0 ¢ to 420.0 ¢)
TAMNAMS information
Related to	3L 5s (checkertonic)
With tunings	5:1 to 1:0
Related MOS scales
Parent	3L 14s
Sister	17L 3s
Daughters	20L 3s, 3L 20s
Neutralized	6L 14s
2-Flought	23L 17s, 3L 37s
Equal tunings
Equalized (L:s = 1:1)	13\20 (780.0 ¢)
Supersoft (L:s = 4:3)	41\63 (781.0 ¢)
Soft (L:s = 3:2)	28\43 (781.4 ¢)
Semisoft (L:s = 5:3)	43\66 (781.8 ¢)
Basic (L:s = 2:1)	15\23 (782.6 ¢)
Semihard (L:s = 5:2)	32\49 (783.7 ¢)
Hard (L:s = 3:1)	17\26 (784.6 ¢)
Superhard (L:s = 4:1)	19\29 (786.2 ¢)
Collapsed (L:s = 1:0)	2\3 (800.0 ¢)
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3L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 17 small steps, repeating every octave. 3L 17s is related to 3L 5s, expanding it by 12 tones. Generators that produce this scale range from 780 ¢ to 800 ¢, or from 400 ¢ to 420 ¢. This is the MOS which splits its small steps 6-6-5 between its large steps. Its most consonant generator is a 14/11 supermajor third, and its generator in general is a supermajor third of no more than 7/20edo (420 cents).

7/20					420
				29/83	419.277
			22/63		419.048
				37/106	418.868
		15/43			418.605
					418.423
				38/109	418.349
					418.303
			23/66		418.182
					418.021
				31/89	417.9775
	8/23				417.3913
				25/72	416.667
			17/49		416.3265
					416.094
				26/75	416
					415.9015
		9/26			415.385
					415.137
				19/55	414.5455
			10/29		413.793
				11/32	412.5
1/3					400