4L 16s

↖ 3L 15s ↑ 4L 15s 5L 15s ↗

← 3L 16s 4L 16s 5L 16s →

↙ 3L 17s ↓ 4L 17s 5L 17s ↘
	Scale structure
Step pattern	LssssLssssLssssLssss; ssssLssssLssssLssssL
Equave	2/1 (1200.0 ¢)
Period	1\4 (300.0 ¢)
	Generator size
Bright	4\20 to 1\4 (240.0 ¢ to 300.0 ¢)
Dark	0\4 to 1\20 (0.0 ¢ to 60.0 ¢)
	TAMNAMS information
Related to	4L 4s (tetrawood)
With tunings	4:1 to 1:0 (ultrahard)
	Related MOS scales
Parent	4L 12s
Sister	16L 4s
Daughters	20L 4s, 4L 20s
Neutralized	8L 12s
2-Flought	24L 16s, 4L 36s
	Equal tunings
Equalized (L:s = 1:1)	4\20 (240.0 ¢)
Supersoft (L:s = 4:3)	13\64 (243.8 ¢)
Soft (L:s = 3:2)	9\44 (245.5 ¢)
Semisoft (L:s = 5:3)	14\68 (247.1 ¢)
Basic (L:s = 2:1)	5\24 (250.0 ¢)
Semihard (L:s = 5:2)	11\52 (253.8 ¢)
Hard (L:s = 3:1)	6\28 (257.1 ¢)
Superhard (L:s = 4:1)	7\32 (262.5 ¢)
Collapsed (L:s = 1:0)	1\4 (300.0 ¢)
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4L 16s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 16 small steps, with a period of 1 large step and 4 small steps that repeats every 300.0 ¢, or 4 times every octave. 4L 16s is a great-grandchild scale of 4L 4s, expanding it by 12 tones. Generators that produce this scale range from 240 ¢ to 300 ¢, or from 0 ¢ to 60 ¢.

Modes

Modes of 4L 16s
UDP	Cyclic order	Step pattern
16\|0(4)	1	LssssLssssLssssLssss
12\|4(4)	5	sLssssLssssLssssLsss
8\|8(4)	4	ssLssssLssssLssssLss
4\|12(4)	3	sssLssssLssssLssssLs
0\|16(4)	2	ssssLssssLssssLssssL

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 4L 16s
Generator^(edo)						Cents		Step ratio		Comments
Generator^(edo)						Bright	Dark	L:s	Hardness	Comments
4\20						240.000	60.000	1:1	1.000	Equalized 4L 16s
					21\104	242.308	57.692	6:5	1.200
				17\84		242.857	57.143	5:4	1.250
					30\148	243.243	56.757	9:7	1.286
			13\64			243.750	56.250	4:3	1.333	Supersoft 4L 16s
					35\172	244.186	55.814	11:8	1.375
				22\108		244.444	55.556	7:5	1.400
					31\152	244.737	55.263	10:7	1.429
		9\44				245.455	54.545	3:2	1.500	Soft 4L 16s
					32\156	246.154	53.846	11:7	1.571
				23\112		246.429	53.571	8:5	1.600
					37\180	246.667	53.333	13:8	1.625
			14\68			247.059	52.941	5:3	1.667	Semisoft 4L 16s
					33\160	247.500	52.500	12:7	1.714
				19\92		247.826	52.174	7:4	1.750
					24\116	248.276	51.724	9:5	1.800
	5\24					250.000	50.000	2:1	2.000	Basic 4L 16s Scales with tunings softer than this are proper
					21\100	252.000	48.000	9:4	2.250
				16\76		252.632	47.368	7:3	2.333
					27\128	253.125	46.875	12:5	2.400
			11\52			253.846	46.154	5:2	2.500	Semihard 4L 16s
					28\132	254.545	45.455	13:5	2.600
				17\80		255.000	45.000	8:3	2.667
					23\108	255.556	44.444	11:4	2.750
		6\28				257.143	42.857	3:1	3.000	Hard 4L 16s
					19\88	259.091	40.909	10:3	3.333
				13\60		260.000	40.000	7:2	3.500
					20\92	260.870	39.130	11:3	3.667
			7\32			262.500	37.500	4:1	4.000	Superhard 4L 16s
					15\68	264.706	35.294	9:2	4.500
				8\36		266.667	33.333	5:1	5.000
					9\40	270.000	30.000	6:1	6.000
1\4						300.000	0.000	1:0	→ ∞	Collapsed 4L 16s