15L 5s

↖ 14L 4s ↑ 15L 4s 16L 4s ↗

← 14L 5s 15L 5s 16L 5s →

↙ 14L 6s ↓ 15L 6s 16L 6s ↘
	Scale structure
Step pattern	LLLsLLLsLLLsLLLsLLLs; sLLLsLLLsLLLsLLLsLLL
Equave	2/1 (1200.0 ¢)
Period	1\5 (240.0 ¢)
	Generator size
Bright	1\20 to 1\15 (60.0 ¢ to 80.0 ¢)
Dark	2\15 to 3\20 (160.0 ¢ to 180.0 ¢)
	TAMNAMS information
Related to	5L 5s (pentawood)
With tunings	2:1 to 3:1 (hypohard)
	Related MOS scales
Parent	5L 10s
Sister	5L 15s
Daughters	20L 15s, 15L 20s
Neutralized	10L 10s
2-Flought	35L 5s, 15L 25s
	Equal tunings
Equalized (L:s = 1:1)	1\20 (60.0 ¢)
Supersoft (L:s = 4:3)	4\75 (64.0 ¢)
Soft (L:s = 3:2)	3\55 (65.5 ¢)
Semisoft (L:s = 5:3)	5\90 (66.7 ¢)
Basic (L:s = 2:1)	2\35 (68.6 ¢)
Semihard (L:s = 5:2)	5\85 (70.6 ¢)
Hard (L:s = 3:1)	3\50 (72.0 ¢)
Superhard (L:s = 4:1)	4\65 (73.8 ¢)
Collapsed (L:s = 1:0)	1\15 (80.0 ¢)
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15L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 15 large steps and 5 small steps, with a period of 3 large steps and 1 small step that repeats every 240.0 ¢, or 5 times every octave. 15L 5s is a grandchild scale of 5L 5s, expanding it by 10 tones. Generators that produce this scale range from 60 ¢ to 80 ¢, or from 160 ¢ to 180 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

Modes

Modes of 15L 5s
UDP	Cyclic order	Step pattern
15\|0(5)	1	LLLsLLLsLLLsLLLsLLLs
10\|5(5)	2	LLsLLLsLLLsLLLsLLLsL
5\|10(5)	3	LsLLLsLLLsLLLsLLLsLL
0\|15(5)	4	sLLLsLLLsLLLsLLLsLLL

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 5s
Generator^(edo)						Cents		Step ratio		Comments^{(always proper)}
Generator^(edo)						Bright	Dark	L:s	Hardness	Comments^{(always proper)}
1\20						60.000	180.000	1:1	1.000	Equalized 15L 5s
					6\115	62.609	177.391	6:5	1.200
				5\95		63.158	176.842	5:4	1.250
					9\170	63.529	176.471	9:7	1.286
			4\75			64.000	176.000	4:3	1.333	Supersoft 15L 5s
					11\205	64.390	175.610	11:8	1.375
				7\130		64.615	175.385	7:5	1.400
					10\185	64.865	175.135	10:7	1.429
		3\55				65.455	174.545	3:2	1.500	Soft 15L 5s
					11\200	66.000	174.000	11:7	1.571
				8\145		66.207	173.793	8:5	1.600
					13\235	66.383	173.617	13:8	1.625
			5\90			66.667	173.333	5:3	1.667	Semisoft 15L 5s
					12\215	66.977	173.023	12:7	1.714
				7\125		67.200	172.800	7:4	1.750
					9\160	67.500	172.500	9:5	1.800
	2\35					68.571	171.429	2:1	2.000	Basic 15L 5s
					9\155	69.677	170.323	9:4	2.250
				7\120		70.000	170.000	7:3	2.333
					12\205	70.244	169.756	12:5	2.400
			5\85			70.588	169.412	5:2	2.500	Semihard 15L 5s
					13\220	70.909	169.091	13:5	2.600
				8\135		71.111	168.889	8:3	2.667
					11\185	71.351	168.649	11:4	2.750
		3\50				72.000	168.000	3:1	3.000	Hard 15L 5s
					10\165	72.727	167.273	10:3	3.333
				7\115		73.043	166.957	7:2	3.500
					11\180	73.333	166.667	11:3	3.667
			4\65			73.846	166.154	4:1	4.000	Superhard 15L 5s
					9\145	74.483	165.517	9:2	4.500
				5\80		75.000	165.000	5:1	5.000
					6\95	75.789	164.211	6:1	6.000
1\15						80.000	160.000	1:0	→ ∞	Collapsed 15L 5s