7L 17s

7L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 17 small steps, repeating every octave. 7L 17s is a grandchild scale of 7L 3s, expanding it by 14 tones. Generators that produce this scale range from 850 ¢ to 857.1 ¢, or from 342.9 ¢ to 350 ¢.

↖ 6L 16s	↑ 7L 16s	8L 16s ↗
← 6L 17s	7L 17s	8L 17s →
↙ 6L 18s	↓ 7L 18s	8L 18s ↘

┌╥┬┬╥┬┬╥┬┬┬╥┬┬╥┬┬┬╥┬┬╥┬┬┬┐ │║││║││║│││║││║│││║││║││││ ││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssLssLsssLssLsssLssLsss sssLssLsssLssLsssLssLssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	17\24 to 5\7 (850.0 ¢ to 857.1 ¢)
Dark	2\7 to 7\24 (342.9 ¢ to 350.0 ¢)
TAMNAMS information
Related to	7L 3s (dicoid)
With tunings	3:1 to 1:0 (hard)
Related MOS scales
Parent	7L 10s
Sister	17L 7s
Daughters	24L 7s, 7L 24s
Neutralized	14L 10s
2-Flought	31L 17s, 7L 41s
Equal tunings
Equalized (L:s = 1:1)	17\24 (850.0 ¢)
Supersoft (L:s = 4:3)	56\79 (850.6 ¢)
Soft (L:s = 3:2)	39\55 (850.9 ¢)
Semisoft (L:s = 5:3)	61\86 (851.2 ¢)
Basic (L:s = 2:1)	22\31 (851.6 ¢)
Semihard (L:s = 5:2)	49\69 (852.2 ¢)
Hard (L:s = 3:1)	27\38 (852.6 ¢)
Superhard (L:s = 4:1)	32\45 (853.3 ¢)
Collapsed (L:s = 1:0)	5\7 (857.1 ¢)

The dark generator serves as an approximate 11/9 (347¢), with 11\38 – the low estimate for the boundary of "practicality" – giving this ratio almost exactly.

7/24					350
				30/103	349.515
			23/79		349.367
				39/134	349.236
		16/55			349.091
					348.981
				41/141	348.936
					348.909
			25/86		348.837
					348.743
				34/117	348.72
	9/31				348.387
				29/100	348
			20/69		347.826
					347.71
				31/107	347.664
					347.615
		11/38			347.368
					347.254
				24/83	346.988
			13/45		346 2/3
				15/52	346 2/13
2/7					342 6/7