10L 6s

↖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¢)
Step size ranges
Large	1\16 to 1\10 (75.0¢ to 120.0¢)
Small	0\10 to 1\16 (0.0¢ to 75.0¢)
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
Descends from	6L 4s (lemon)
Related MOS scales
Parent	6L 4s
Sister	6L 10s
Daughters	16L 10s 10L 16s
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¢)

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.

Modes

Modes of 10L 6s

UDP	Rotational 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

Scale tree

Scale tree and tuning spectrum of 10L 6s

Generator (in steps of 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 Optimal Lemba
					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 Echidnic
					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