7L 10s

↖ 6L 9s	↑ 7L 9s	8L 9s ↗
← 6L 10s	7L 10s	8L 10s →
↙ 6L 11s	↓ 7L 11s	8L 11s ↘

Scale structure
Step pattern	LsLsLssLsLssLsLss ssLsLssLsLssLsLsL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	12\17 to 5\7 (847.1 ¢ to 857.1 ¢)
Dark	2\7 to 5\17 (342.9 ¢ to 352.9 ¢)
TAMNAMS information
Related to	7L 3s (dicoid)
With tunings	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	7L 3s
Sister	10L 7s
Daughters	17L 7s, 7L 17s
Neutralized	14L 3s
2-Flought	24L 10s, 7L 27s
Equal tunings
Equalized (L:s = 1:1)	12\17 (847.1 ¢)
Supersoft (L:s = 4:3)	41\58 (848.3 ¢)
Soft (L:s = 3:2)	29\41 (848.8 ¢)
Semisoft (L:s = 5:3)	46\65 (849.2 ¢)
Basic (L:s = 2:1)	17\24 (850.0 ¢)
Semihard (L:s = 5:2)	39\55 (850.9 ¢)
Hard (L:s = 3:1)	22\31 (851.6 ¢)
Superhard (L:s = 4:1)	27\38 (852.6 ¢)
Collapsed (L:s = 1:0)	5\7 (857.1 ¢)
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7L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 10 small steps, repeating every octave. 7L 10s is a child scale of 7L 3s, expanding it by 7 tones. Generators that produce this scale range from 847.1 ¢ to 857.1 ¢, or from 342.9 ¢ to 352.9 ¢. This MOS is a neutral thirds-style meantone scale which spaces its large steps 2s-s-s-2s-s-s-s-2s. It is an improper Mohajira scale when the generator is c. 9/31edo (348.387 cents) and its entire spectrum is 2/7edo (342.857) to 5/17edo (352.941 cents).

Modes

Modes of 7L 10s

UDP	Cyclic order	Step pattern
16|0	1	LsLsLssLsLssLsLss
15|1	13	LsLssLsLsLssLsLss
14|2	8	LsLssLsLssLsLsLss
13|3	3	LsLssLsLssLsLssLs
12|4	15	LssLsLsLssLsLssLs
11|5	10	LssLsLssLsLsLssLs
10|6	5	LssLsLssLsLssLsLs
9|7	17	sLsLsLssLsLssLsLs
8|8	12	sLsLssLsLsLssLsLs
7|9	7	sLsLssLsLssLsLsLs
6|10	2	sLsLssLsLssLsLssL
5|11	14	sLssLsLsLssLsLssL
4|12	9	sLssLsLssLsLsLssL
3|13	4	sLssLsLssLsLssLsL
2|14	16	ssLsLsLssLsLssLsL
1|15	11	ssLsLssLsLsLssLsL
0|16	6	ssLsLssLsLssLsLsL

Scale tree

2/7					342.857
				13/45	346.667
			11/38		347.368
				20/69	347.826
					348.216
		9/31			348.387
					348.763
				25/86	348.837
					348.909
			16/55		349.091
				23/79	349.367
	7/24				350
				26/89	350.562
					350.606
			19/65		350.769
					350.8955
				31/106	350.943
					351.022
		12/41			351.146
				29/99	351.515
			17/58		351.724
				22/75	352
5/17					352.941