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

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details: Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: {{MOS tuning spectrum | 3/2 = Example comment | 4/3 = Another example comment }} The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

Scale tree and tuning spectrum of 7L 10s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
12\17						847.059	352.941	1:1	1.000	Equalized 7L 10s
					65\92	847.826	352.174	6:5	1.200
				53\75		848.000	352.000	5:4	1.250
					94\133	848.120	351.880	9:7	1.286
			41\58			848.276	351.724	4:3	1.333	Supersoft 7L 10s
					111\157	848.408	351.592	11:8	1.375
				70\99		848.485	351.515	7:5	1.400
					99\140	848.571	351.429	10:7	1.429
		29\41				848.780	351.220	3:2	1.500	Soft 7L 10s
					104\147	848.980	351.020	11:7	1.571
				75\106		849.057	350.943	8:5	1.600
					121\171	849.123	350.877	13:8	1.625
			46\65			849.231	350.769	5:3	1.667	Semisoft 7L 10s
					109\154	849.351	350.649	12:7	1.714
				63\89		849.438	350.562	7:4	1.750
					80\113	849.558	350.442	9:5	1.800
	17\24					850.000	350.000	2:1	2.000	Basic 7L 10s Scales with tunings softer than this are proper
					73\103	850.485	349.515	9:4	2.250
				56\79		850.633	349.367	7:3	2.333
					95\134	850.746	349.254	12:5	2.400
			39\55			850.909	349.091	5:2	2.500	Semihard 7L 10s
					100\141	851.064	348.936	13:5	2.600
				61\86		851.163	348.837	8:3	2.667
					83\117	851.282	348.718	11:4	2.750
		22\31				851.613	348.387	3:1	3.000	Hard 7L 10s
					71\100	852.000	348.000	10:3	3.333
				49\69		852.174	347.826	7:2	3.500
					76\107	852.336	347.664	11:3	3.667
			27\38			852.632	347.368	4:1	4.000	Superhard 7L 10s
					59\83	853.012	346.988	9:2	4.500
				32\45		853.333	346.667	5:1	5.000
					37\52	853.846	346.154	6:1	6.000
5\7						857.143	342.857	1:0	→ ∞	Collapsed 7L 10s