17L 3s

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

┌╥╥╥╥╥╥┬╥╥╥╥╥╥┬╥╥╥╥╥┬┐ │║║║║║║│║║║║║║│║║║║║││ ││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLLLsLLLLLLsLLLLLs sLLLLLsLLLLLLsLLLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	7\20 to 6\17 (420.0 ¢ to 423.5 ¢)
Dark	11\17 to 13\20 (776.5 ¢ to 780.0 ¢)
TAMNAMS information
Related to	3L 5s (checkertonic)
With tunings	4:1 to 5:1
Related MOS scales
Parent	3L 14s
Sister	3L 17s
Daughters	20L 17s, 17L 20s
Neutralized	14L 6s
2-Flought	37L 3s, 17L 23s
Equal tunings
Equalized (L:s = 1:1)	7\20 (420.0 ¢)
Supersoft (L:s = 4:3)	27\77 (420.8 ¢)
Soft (L:s = 3:2)	20\57 (421.1 ¢)
Semisoft (L:s = 5:3)	33\94 (421.3 ¢)
Basic (L:s = 2:1)	13\37 (421.6 ¢)
Semihard (L:s = 5:2)	32\91 (422.0 ¢)
Hard (L:s = 3:1)	19\54 (422.2 ¢)
Superhard (L:s = 4:1)	25\71 (422.5 ¢)
Collapsed (L:s = 1:0)	6\17 (423.5 ¢)

17L 3s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 3 small steps, repeating every octave. 17L 3s is related to 3L 5s, expanding it by 12 tones. Generators that produce this scale range from 420 ¢ to 423.5 ¢, or from 776.5 ¢ to 780 ¢.

Modes

Modes of 17L 3s

UDP	Cyclic order	Step pattern
19|0	1	LLLLLLsLLLLLLsLLLLLs
18|1	8	LLLLLLsLLLLLsLLLLLLs
17|2	15	LLLLLsLLLLLLsLLLLLLs
16|3	2	LLLLLsLLLLLLsLLLLLsL
15|4	9	LLLLLsLLLLLsLLLLLLsL
14|5	16	LLLLsLLLLLLsLLLLLLsL
13|6	3	LLLLsLLLLLLsLLLLLsLL
12|7	10	LLLLsLLLLLsLLLLLLsLL
11|8	17	LLLsLLLLLLsLLLLLLsLL
10|9	4	LLLsLLLLLLsLLLLLsLLL
9|10	11	LLLsLLLLLsLLLLLLsLLL
8|11	18	LLsLLLLLLsLLLLLLsLLL
7|12	5	LLsLLLLLLsLLLLLsLLLL
6|13	12	LLsLLLLLsLLLLLLsLLLL
5|14	19	LsLLLLLLsLLLLLLsLLLL
4|15	6	LsLLLLLLsLLLLLsLLLLL
3|16	13	LsLLLLLsLLLLLLsLLLLL
2|17	20	sLLLLLLsLLLLLLsLLLLL
1|18	7	sLLLLLLsLLLLLsLLLLLL
0|19	14	sLLLLLsLLLLLLsLLLLLL

Scale tree

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