4L 17s

↖ 3L 16s	↑ 4L 16s	5L 16s ↗
← 3L 17s	4L 17s	5L 17s →
↙ 3L 18s	↓ 4L 18s	5L 18s ↘

┌╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬┬┐ │║││││║││││║││││║││││││ │││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssssLssssLssssLsssss sssssLssssLssssLssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	5\21 to 1\4 (285.7 ¢ to 300.0 ¢)
Dark	3\4 to 16\21 (900.0 ¢ to 914.3 ¢)
TAMNAMS information
Related to	4L 5s (gramitonic)
With tunings	4:1 to 1:0 (ultrahard)
Related MOS scales
Parent	4L 13s
Sister	17L 4s
Daughters	21L 4s, 4L 21s
Neutralized	8L 13s
2-Flought	25L 17s, 4L 38s
Equal tunings
Equalized (L:s = 1:1)	5\21 (285.7 ¢)
Supersoft (L:s = 4:3)	16\67 (286.6 ¢)
Soft (L:s = 3:2)	11\46 (287.0 ¢)
Semisoft (L:s = 5:3)	17\71 (287.3 ¢)
Basic (L:s = 2:1)	6\25 (288.0 ¢)
Semihard (L:s = 5:2)	13\54 (288.9 ¢)
Hard (L:s = 3:1)	7\29 (289.7 ¢)
Superhard (L:s = 4:1)	8\33 (290.9 ¢)
Collapsed (L:s = 1:0)	1\4 (300.0 ¢)

4L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 17 small steps, repeating every octave. 4L 17s is a great-grandchild scale of 4L 5s, expanding it by 12 tones. Generators that produce this scale range from 285.7 ¢ to 300 ¢, or from 900 ¢ to 914.3 ¢.

Modes

Modes of 4L 17s

UDP	Cyclic order	Step pattern
20|0	1	LssssLssssLssssLsssss
19|1	6	LssssLssssLsssssLssss
18|2	11	LssssLsssssLssssLssss
17|3	16	LsssssLssssLssssLssss
16|4	21	sLssssLssssLssssLssss
15|5	5	sLssssLssssLsssssLsss
14|6	10	sLssssLsssssLssssLsss
13|7	15	sLsssssLssssLssssLsss
12|8	20	ssLssssLssssLssssLsss
11|9	4	ssLssssLssssLsssssLss
10|10	9	ssLssssLsssssLssssLss
9|11	14	ssLsssssLssssLssssLss
8|12	19	sssLssssLssssLssssLss
7|13	3	sssLssssLssssLsssssLs
6|14	8	sssLssssLsssssLssssLs
5|15	13	sssLsssssLssssLssssLs
4|16	18	ssssLssssLssssLssssLs
3|17	2	ssssLssssLssssLsssssL
2|18	7	ssssLssssLsssssLssssL
1|19	12	ssssLsssssLssssLssssL
0|20	17	sssssLssssLssssLssssL