7L 10s

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← 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).

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

Intervals

Intervals of 7L 10s

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 70.6 ¢
	Major 1-mosstep	M1ms	L	70.6 ¢ to 171.4 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 141.2 ¢
	Major 2-mosstep	M2ms	L + s	141.2 ¢ to 171.4 ¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	171.4 ¢ to 211.8 ¢
	Major 3-mosstep	M3ms	2L + s	211.8 ¢ to 342.9 ¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	171.4 ¢ to 282.4 ¢
	Major 4-mosstep	M4ms	2L + 2s	282.4 ¢ to 342.9 ¢
5-mosstep	Perfect 5-mosstep	P5ms	2L + 3s	342.9 ¢ to 352.9 ¢
	Augmented 5-mosstep	A5ms	3L + 2s	352.9 ¢ to 514.3 ¢
6-mosstep	Minor 6-mosstep	m6ms	2L + 4s	342.9 ¢ to 423.5 ¢
	Major 6-mosstep	M6ms	3L + 3s	423.5 ¢ to 514.3 ¢
7-mosstep	Minor 7-mosstep	m7ms	2L + 5s	342.9 ¢ to 494.1 ¢
	Major 7-mosstep	M7ms	3L + 4s	494.1 ¢ to 514.3 ¢
8-mosstep	Minor 8-mosstep	m8ms	3L + 5s	514.3 ¢ to 564.7 ¢
	Major 8-mosstep	M8ms	4L + 4s	564.7 ¢ to 685.7 ¢
9-mosstep	Minor 9-mosstep	m9ms	3L + 6s	514.3 ¢ to 635.3 ¢
	Major 9-mosstep	M9ms	4L + 5s	635.3 ¢ to 685.7 ¢
10-mosstep	Minor 10-mosstep	m10ms	4L + 6s	685.7 ¢ to 705.9 ¢
	Major 10-mosstep	M10ms	5L + 5s	705.9 ¢ to 857.1 ¢
11-mosstep	Minor 11-mosstep	m11ms	4L + 7s	685.7 ¢ to 776.5 ¢
	Major 11-mosstep	M11ms	5L + 6s	776.5 ¢ to 857.1 ¢
12-mosstep	Diminished 12-mosstep	d12ms	4L + 8s	685.7 ¢ to 847.1 ¢
	Perfect 12-mosstep	P12ms	5L + 7s	847.1 ¢ to 857.1 ¢
13-mosstep	Minor 13-mosstep	m13ms	5L + 8s	857.1 ¢ to 917.6 ¢
	Major 13-mosstep	M13ms	6L + 7s	917.6 ¢ to 1028.6 ¢
14-mosstep	Minor 14-mosstep	m14ms	5L + 9s	857.1 ¢ to 988.2 ¢
	Major 14-mosstep	M14ms	6L + 8s	988.2 ¢ to 1028.6 ¢
15-mosstep	Minor 15-mosstep	m15ms	6L + 9s	1028.6 ¢ to 1058.8 ¢
	Major 15-mosstep	M15ms	7L + 8s	1058.8 ¢ to 1200.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	6L + 10s	1028.6 ¢ to 1129.4 ¢
	Major 16-mosstep	M16ms	7L + 9s	1129.4 ¢ to 1200.0 ¢
17-mosstep	Perfect 17-mosstep	P17ms	7L + 10s	1200.0 ¢

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