6L 15s

↖ 5L 14s ↑ 6L 14s 7L 14s ↗

← 5L 15s 6L 15s 7L 15s →

↙ 5L 16s ↓ 6L 16s 7L 16s ↘
	Scale structure
Step pattern	LssLsssLssLsssLssLsss; sssLssLsssLssLsssLssL
Equave	2/1 (1200.0 ¢)
Period	1\3 (400.0 ¢)
	Generator size
Bright	3\21 to 1\6 (171.4 ¢ to 200.0 ¢)
Dark	1\6 to 4\21 (200.0 ¢ to 228.6 ¢)
	TAMNAMS information
Related to	6L 3s (hyrulic)
With tunings	3:1 to 1:0 (hard)
	Related MOS scales
Parent	6L 9s
Sister	15L 6s
Daughters	21L 6s, 6L 21s
Neutralized	12L 9s
2-Flought	27L 15s, 6L 36s
	Equal tunings
Equalized (L:s = 1:1)	3\21 (171.4 ¢)
Supersoft (L:s = 4:3)	10\69 (173.9 ¢)
Soft (L:s = 3:2)	7\48 (175.0 ¢)
Semisoft (L:s = 5:3)	11\75 (176.0 ¢)
Basic (L:s = 2:1)	4\27 (177.8 ¢)
Semihard (L:s = 5:2)	9\60 (180.0 ¢)
Hard (L:s = 3:1)	5\33 (181.8 ¢)
Superhard (L:s = 4:1)	6\39 (184.6 ¢)
Collapsed (L:s = 1:0)	1\6 (200.0 ¢)
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6L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 15 small steps, with a period of 2 large steps and 5 small steps that repeats every 400.0 ¢, or 3 times every octave. 6L 15s is a grandchild scale of 6L 3s, expanding it by 12 tones. Generators that produce this scale range from 171.4 ¢ to 200 ¢, or from 200 ¢ to 228.6 ¢.

Modes

Modes of 6L 15s
UDP	Cyclic order	Step pattern
18\|0(3)	1	LssLsssLssLsssLssLsss
15\|3(3)	4	LsssLssLsssLssLsssLss
12\|6(3)	7	sLssLsssLssLsssLssLss
9\|9(3)	3	sLsssLssLsssLssLsssLs
6\|12(3)	6	ssLssLsssLssLsssLssLs
3\|15(3)	2	ssLsssLssLsssLssLsssL
0\|18(3)	5	sssLssLsssLssLsssLssL

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 6L 15s
Generator^(edo)						Cents		Step ratio		Comments
Generator^(edo)						Bright	Dark	L:s	Hardness	Comments
3\21						171.429	228.571	1:1	1.000	Equalized 6L 15s
					16\111	172.973	227.027	6:5	1.200
				13\90		173.333	226.667	5:4	1.250
					23\159	173.585	226.415	9:7	1.286
			10\69			173.913	226.087	4:3	1.333	Supersoft 6L 15s
					27\186	174.194	225.806	11:8	1.375
				17\117		174.359	225.641	7:5	1.400
					24\165	174.545	225.455	10:7	1.429
		7\48				175.000	225.000	3:2	1.500	Soft 6L 15s
					25\171	175.439	224.561	11:7	1.571
				18\123		175.610	224.390	8:5	1.600
					29\198	175.758	224.242	13:8	1.625
			11\75			176.000	224.000	5:3	1.667	Semisoft 6L 15s
					26\177	176.271	223.729	12:7	1.714
				15\102		176.471	223.529	7:4	1.750
					19\129	176.744	223.256	9:5	1.800
	4\27					177.778	222.222	2:1	2.000	Basic 6L 15s Scales with tunings softer than this are proper
					17\114	178.947	221.053	9:4	2.250
				13\87		179.310	220.690	7:3	2.333
					22\147	179.592	220.408	12:5	2.400
			9\60			180.000	220.000	5:2	2.500	Semihard 6L 15s
					23\153	180.392	219.608	13:5	2.600
				14\93		180.645	219.355	8:3	2.667
					19\126	180.952	219.048	11:4	2.750
		5\33				181.818	218.182	3:1	3.000	Hard 6L 15s
					16\105	182.857	217.143	10:3	3.333
				11\72		183.333	216.667	7:2	3.500
					17\111	183.784	216.216	11:3	3.667
			6\39			184.615	215.385	4:1	4.000	Superhard 6L 15s
					13\84	185.714	214.286	9:2	4.500
				7\45		186.667	213.333	5:1	5.000
					8\51	188.235	211.765	6:1	6.000
1\6						200.000	200.000	1:0	→ ∞	Collapsed 6L 15s