10L 6s

10L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 6 small steps, with a period of 5 large steps and 3 small steps that repeats every 600.0 ¢, or twice every octave. 10L 6s is a child scale of 6L 4s, expanding it by 6 tones. Generators that produce this scale range from 225 ¢ to 240 ¢, or from 360 ¢ to 375 ¢. This scale is notable for supporting Lemba temperament; the entire range is suitable, with a generator range of about 229 to 232 cents being optimal.

↖ 9L 5s	↑ 10L 5s	11L 5s ↗
← 9L 6s	10L 6s	11L 6s →
↙ 9L 7s	↓ 10L 7s	11L 7s ↘

Scale structure
Step pattern	LLsLLsLsLLsLLsLs sLsLLsLLsLsLLsLL
Equave	2/1 (1200.0 ¢)
Period	1\2 (600.0 ¢)
Generator size
Bright	3\16 to 2\10 (225.0 ¢ to 240.0 ¢)
Dark	3\10 to 5\16 (360.0 ¢ to 375.0 ¢)
TAMNAMS information
Related to	6L 4s (lemon)
With tunings	1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent	6L 4s
Sister	6L 10s
Daughters	16L 10s, 10L 16s
Neutralized	4L 12s
2-Flought	26L 6s, 10L 22s
Equal tunings
Equalized (L:s = 1:1)	3\16 (225.0 ¢)
Supersoft (L:s = 4:3)	11\58 (227.6 ¢)
Soft (L:s = 3:2)	8\42 (228.6 ¢)
Semisoft (L:s = 5:3)	13\68 (229.4 ¢)
Basic (L:s = 2:1)	5\26 (230.8 ¢)
Semihard (L:s = 5:2)	12\62 (232.3 ¢)
Hard (L:s = 3:1)	7\36 (233.3 ¢)
Superhard (L:s = 4:1)	9\46 (234.8 ¢)
Collapsed (L:s = 1:0)	2\10 (240.0 ¢)
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Modes

Modes of 10L 6s

UDP	Cyclic order	Step pattern
14|0(2)	1	LLsLLsLsLLsLLsLs
12|2(2)	4	LLsLsLLsLLsLsLLs
10|4(2)	7	LsLLsLLsLsLLsLLs
8|6(2)	2	LsLLsLsLLsLLsLsL
6|8(2)	5	LsLsLLsLLsLsLLsL
4|10(2)	8	sLLsLLsLsLLsLLsL
2|12(2)	3	sLLsLsLLsLLsLsLL
0|14(2)	6	sLsLLsLLsLsLLsLL

Intervals

Intervals of 10L 6s

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 75.0 ¢
	Major 1-mosstep	M1ms	L	75.0 ¢ to 120.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	120.0 ¢ to 150.0 ¢
	Major 2-mosstep	M2ms	2L	150.0 ¢ to 240.0 ¢
3-mosstep	Diminished 3-mosstep	d3ms	L + 2s	120.0 ¢ to 225.0 ¢
	Perfect 3-mosstep	P3ms	2L + s	225.0 ¢ to 240.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	240.0 ¢ to 300.0 ¢
	Major 4-mosstep	M4ms	3L + s	300.0 ¢ to 360.0 ¢
5-mosstep	Perfect 5-mosstep	P5ms	3L + 2s	360.0 ¢ to 375.0 ¢
	Augmented 5-mosstep	A5ms	4L + s	375.0 ¢ to 480.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	3L + 3s	360.0 ¢ to 450.0 ¢
	Major 6-mosstep	M6ms	4L + 2s	450.0 ¢ to 480.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	4L + 3s	480.0 ¢ to 525.0 ¢
	Major 7-mosstep	M7ms	5L + 2s	525.0 ¢ to 600.0 ¢
8-mosstep	Perfect 8-mosstep	P8ms	5L + 3s	600.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	5L + 4s	600.0 ¢ to 675.0 ¢
	Major 9-mosstep	M9ms	6L + 3s	675.0 ¢ to 720.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	6L + 4s	720.0 ¢ to 750.0 ¢
	Major 10-mosstep	M10ms	7L + 3s	750.0 ¢ to 840.0 ¢
11-mosstep	Diminished 11-mosstep	d11ms	6L + 5s	720.0 ¢ to 825.0 ¢
	Perfect 11-mosstep	P11ms	7L + 4s	825.0 ¢ to 840.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	7L + 5s	840.0 ¢ to 900.0 ¢
	Major 12-mosstep	M12ms	8L + 4s	900.0 ¢ to 960.0 ¢
13-mosstep	Perfect 13-mosstep	P13ms	8L + 5s	960.0 ¢ to 975.0 ¢
	Augmented 13-mosstep	A13ms	9L + 4s	975.0 ¢ to 1080.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	8L + 6s	960.0 ¢ to 1050.0 ¢
	Major 14-mosstep	M14ms	9L + 5s	1050.0 ¢ to 1080.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	9L + 6s	1080.0 ¢ to 1125.0 ¢
	Major 15-mosstep	M15ms	10L + 5s	1125.0 ¢ to 1200.0 ¢
16-mosstep	Perfect 16-mosstep	P16ms	10L + 6s	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 10L 6s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
3\16						225.000	375.000	1:1	1.000	Equalized 10L 6s
					17\90	226.667	373.333	6:5	1.200
				14\74		227.027	372.973	5:4	1.250
					25\132	227.273	372.727	9:7	1.286
			11\58			227.586	372.414	4:3	1.333	Supersoft 10L 6s
					30\158	227.848	372.152	11:8	1.375
				19\100		228.000	372.000	7:5	1.400
					27\142	228.169	371.831	10:7	1.429
		8\42				228.571	371.429	3:2	1.500	Soft 10L 6s
					29\152	228.947	371.053	11:7	1.571
				21\110		229.091	370.909	8:5	1.600
					34\178	229.213	370.787	13:8	1.625
			13\68			229.412	370.588	5:3	1.667	Semisoft 10L 6s
					31\162	229.630	370.370	12:7	1.714
				18\94		229.787	370.213	7:4	1.750
					23\120	230.000	370.000	9:5	1.800
	5\26					230.769	369.231	2:1	2.000	Basic 10L 6s Scales with tunings softer than this are proper
					22\114	231.579	368.421	9:4	2.250
				17\88		231.818	368.182	7:3	2.333
					29\150	232.000	368.000	12:5	2.400
			12\62			232.258	367.742	5:2	2.500	Semihard 10L 6s
					31\160	232.500	367.500	13:5	2.600
				19\98		232.653	367.347	8:3	2.667
					26\134	232.836	367.164	11:4	2.750
		7\36				233.333	366.667	3:1	3.000	Hard 10L 6s
					23\118	233.898	366.102	10:3	3.333
				16\82		234.146	365.854	7:2	3.500
					25\128	234.375	365.625	11:3	3.667
			9\46			234.783	365.217	4:1	4.000	Superhard 10L 6s
					20\102	235.294	364.706	9:2	4.500
				11\56		235.714	364.286	5:1	5.000
					13\66	236.364	363.636	6:1	6.000
2\10						240.000	360.000	1:0	→ ∞	Collapsed 10L 6s