7L 17s

↖ 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 ¢)

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 ¢.

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.

Notable harmonic entropy minima are mohajira and migration, two alternative extensions of the 2.3.5.11 temperament mohaha to the full 11-limit, merging in 31edo.

Modes

Modes of 7L 17s

UDP	Cyclic order	Step pattern
23|0	1	LssLssLsssLssLsssLssLsss
22|1	18	LssLsssLssLssLsssLssLsss
21|2	11	LssLsssLssLsssLssLssLsss
20|3	4	LssLsssLssLsssLssLsssLss
19|4	21	LsssLssLssLsssLssLsssLss
18|5	14	LsssLssLsssLssLssLsssLss
17|6	7	LsssLssLsssLssLsssLssLss
16|7	24	sLssLssLsssLssLsssLssLss
15|8	17	sLssLsssLssLssLsssLssLss
14|9	10	sLssLsssLssLsssLssLssLss
13|10	3	sLssLsssLssLsssLssLsssLs
12|11	20	sLsssLssLssLsssLssLsssLs
11|12	13	sLsssLssLsssLssLssLsssLs
10|13	6	sLsssLssLsssLssLsssLssLs
9|14	23	ssLssLssLsssLssLsssLssLs
8|15	16	ssLssLsssLssLssLsssLssLs
7|16	9	ssLssLsssLssLsssLssLssLs
6|17	2	ssLssLsssLssLsssLssLsssL
5|18	19	ssLsssLssLssLsssLssLsssL
4|19	12	ssLsssLssLsssLssLssLsssL
3|20	5	ssLsssLssLsssLssLsssLssL
2|21	22	sssLssLssLsssLssLsssLssL
1|22	15	sssLssLsssLssLssLsssLssL
0|23	8	sssLssLsssLssLsssLssLssL

Intervals

Intervals of 7L 17s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0 ¢ to 50.0 ¢
	Major 1-mosstep	M1ms	L	50.0 ¢ to 171.4 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 100.0 ¢
	Major 2-mosstep	M2ms	L + s	100.0 ¢ to 171.4 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 150.0 ¢
	Major 3-mosstep	M3ms	L + 2s	150.0 ¢ to 171.4 ¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	171.4 ¢ to 200.0 ¢
	Major 4-mosstep	M4ms	2L + 2s	200.0 ¢ to 342.9 ¢
5-mosstep	Minor 5-mosstep	m5ms	L + 4s	171.4 ¢ to 250.0 ¢
	Major 5-mosstep	M5ms	2L + 3s	250.0 ¢ to 342.9 ¢
6-mosstep	Minor 6-mosstep	m6ms	L + 5s	171.4 ¢ to 300.0 ¢
	Major 6-mosstep	M6ms	2L + 4s	300.0 ¢ to 342.9 ¢
7-mosstep	Perfect 7-mosstep	P7ms	2L + 5s	342.9 ¢ to 350.0 ¢
	Augmented 7-mosstep	A7ms	3L + 4s	350.0 ¢ to 514.3 ¢
8-mosstep	Minor 8-mosstep	m8ms	2L + 6s	342.9 ¢ to 400.0 ¢
	Major 8-mosstep	M8ms	3L + 5s	400.0 ¢ to 514.3 ¢
9-mosstep	Minor 9-mosstep	m9ms	2L + 7s	342.9 ¢ to 450.0 ¢
	Major 9-mosstep	M9ms	3L + 6s	450.0 ¢ to 514.3 ¢
10-mosstep	Minor 10-mosstep	m10ms	2L + 8s	342.9 ¢ to 500.0 ¢
	Major 10-mosstep	M10ms	3L + 7s	500.0 ¢ to 514.3 ¢
11-mosstep	Minor 11-mosstep	m11ms	3L + 8s	514.3 ¢ to 550.0 ¢
	Major 11-mosstep	M11ms	4L + 7s	550.0 ¢ to 685.7 ¢
12-mosstep	Minor 12-mosstep	m12ms	3L + 9s	514.3 ¢ to 600.0 ¢
	Major 12-mosstep	M12ms	4L + 8s	600.0 ¢ to 685.7 ¢
13-mosstep	Minor 13-mosstep	m13ms	3L + 10s	514.3 ¢ to 650.0 ¢
	Major 13-mosstep	M13ms	4L + 9s	650.0 ¢ to 685.7 ¢
14-mosstep	Minor 14-mosstep	m14ms	4L + 10s	685.7 ¢ to 700.0 ¢
	Major 14-mosstep	M14ms	5L + 9s	700.0 ¢ to 857.1 ¢
15-mosstep	Minor 15-mosstep	m15ms	4L + 11s	685.7 ¢ to 750.0 ¢
	Major 15-mosstep	M15ms	5L + 10s	750.0 ¢ to 857.1 ¢
16-mosstep	Minor 16-mosstep	m16ms	4L + 12s	685.7 ¢ to 800.0 ¢
	Major 16-mosstep	M16ms	5L + 11s	800.0 ¢ to 857.1 ¢
17-mosstep	Diminished 17-mosstep	d17ms	4L + 13s	685.7 ¢ to 850.0 ¢
	Perfect 17-mosstep	P17ms	5L + 12s	850.0 ¢ to 857.1 ¢
18-mosstep	Minor 18-mosstep	m18ms	5L + 13s	857.1 ¢ to 900.0 ¢
	Major 18-mosstep	M18ms	6L + 12s	900.0 ¢ to 1028.6 ¢
19-mosstep	Minor 19-mosstep	m19ms	5L + 14s	857.1 ¢ to 950.0 ¢
	Major 19-mosstep	M19ms	6L + 13s	950.0 ¢ to 1028.6 ¢
20-mosstep	Minor 20-mosstep	m20ms	5L + 15s	857.1 ¢ to 1000.0 ¢
	Major 20-mosstep	M20ms	6L + 14s	1000.0 ¢ to 1028.6 ¢
21-mosstep	Minor 21-mosstep	m21ms	6L + 15s	1028.6 ¢ to 1050.0 ¢
	Major 21-mosstep	M21ms	7L + 14s	1050.0 ¢ to 1200.0 ¢
22-mosstep	Minor 22-mosstep	m22ms	6L + 16s	1028.6 ¢ to 1100.0 ¢
	Major 22-mosstep	M22ms	7L + 15s	1100.0 ¢ to 1200.0 ¢
23-mosstep	Minor 23-mosstep	m23ms	6L + 17s	1028.6 ¢ to 1150.0 ¢
	Major 23-mosstep	M23ms	7L + 16s	1150.0 ¢ to 1200.0 ¢
24-mosstep	Perfect 24-mosstep	P24ms	7L + 17s	1200.0 ¢