15L 6s

↖ 14L 5s ↑ 15L 5s 16L 5s ↗

← 14L 6s 15L 6s 16L 6s →

↙ 14L 7s ↓ 15L 7s 16L 7s ↘
	Scale structure
Step pattern	LLLsLLsLLLsLLsLLLsLLs; sLLsLLLsLLsLLLsLLsLLL
Equave	2/1 (1200.0 ¢)
Period	1\3 (400.0 ¢)
	Generator size
Bright	4\21 to 3\15 (228.6 ¢ to 240.0 ¢)
Dark	2\15 to 3\21 (160.0 ¢ to 171.4 ¢)
	TAMNAMS information
Related to	6L 3s (hyrulic)
With tunings	2:1 to 3:1 (hypohard)
	Related MOS scales
Parent	6L 9s
Sister	6L 15s
Daughters	21L 15s, 15L 21s
Neutralized	9L 12s
2-Flought	36L 6s, 15L 27s
	Equal tunings
Equalized (L:s = 1:1)	4\21 (228.6 ¢)
Supersoft (L:s = 4:3)	15\78 (230.8 ¢)
Soft (L:s = 3:2)	11\57 (231.6 ¢)
Semisoft (L:s = 5:3)	18\93 (232.3 ¢)
Basic (L:s = 2:1)	7\36 (233.3 ¢)
Semihard (L:s = 5:2)	17\87 (234.5 ¢)
Hard (L:s = 3:1)	10\51 (235.3 ¢)
Superhard (L:s = 4:1)	13\66 (236.4 ¢)
Collapsed (L:s = 1:0)	3\15 (240.0 ¢)
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15L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 15 large steps and 6 small steps, with a period of 5 large steps and 2 small steps that repeats every 400.0 ¢, or 3 times every octave. 15L 6s is a grandchild scale of 6L 3s, expanding it by 12 tones. Generators that produce this scale range from 228.6 ¢ to 240 ¢, or from 160 ¢ to 171.4 ¢.

Modes

Modes of 15L 6s
UDP	Cyclic order	Step pattern
18\|0(3)	1	LLLsLLsLLLsLLsLLLsLLs
15\|3(3)	5	LLsLLLsLLsLLLsLLsLLLs
12\|6(3)	2	LLsLLsLLLsLLsLLLsLLsL
9\|9(3)	6	LsLLLsLLsLLLsLLsLLLsL
6\|12(3)	3	LsLLsLLLsLLsLLLsLLsLL
3\|15(3)	7	sLLLsLLsLLLsLLsLLLsLL
0\|18(3)	4	sLLsLLLsLLsLLLsLLsLLL

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 15L 6s
Generator^(edo)						Cents		Step ratio		Comments
Generator^(edo)						Bright	Dark	L:s	Hardness	Comments
4\21						228.571	171.429	1:1	1.000	Equalized 15L 6s
					23\120	230.000	170.000	6:5	1.200
				19\99		230.303	169.697	5:4	1.250
					34\177	230.508	169.492	9:7	1.286
			15\78			230.769	169.231	4:3	1.333	Supersoft 15L 6s
					41\213	230.986	169.014	11:8	1.375
				26\135		231.111	168.889	7:5	1.400
					37\192	231.250	168.750	10:7	1.429
		11\57				231.579	168.421	3:2	1.500	Soft 15L 6s
					40\207	231.884	168.116	11:7	1.571
				29\150		232.000	168.000	8:5	1.600
					47\243	232.099	167.901	13:8	1.625
			18\93			232.258	167.742	5:3	1.667	Semisoft 15L 6s
					43\222	232.432	167.568	12:7	1.714
				25\129		232.558	167.442	7:4	1.750
					32\165	232.727	167.273	9:5	1.800
	7\36					233.333	166.667	2:1	2.000	Basic 15L 6s Scales with tunings softer than this are proper
					31\159	233.962	166.038	9:4	2.250
				24\123		234.146	165.854	7:3	2.333
					41\210	234.286	165.714	12:5	2.400
			17\87			234.483	165.517	5:2	2.500	Semihard 15L 6s
					44\225	234.667	165.333	13:5	2.600
				27\138		234.783	165.217	8:3	2.667
					37\189	234.921	165.079	11:4	2.750
		10\51				235.294	164.706	3:1	3.000	Hard 15L 6s
					33\168	235.714	164.286	10:3	3.333
				23\117		235.897	164.103	7:2	3.500
					36\183	236.066	163.934	11:3	3.667
			13\66			236.364	163.636	4:1	4.000	Superhard 15L 6s
					29\147	236.735	163.265	9:2	4.500
				16\81		237.037	162.963	5:1	5.000
					19\96	237.500	162.500	6:1	6.000
3\15						240.000	160.000	1:0	→ ∞	Collapsed 15L 6s