4L 6s

↖ 3L 5s	↑ 4L 5s	5L 5s ↗
← 3L 6s	4L 6s	5L 6s →
↙ 3L 7s	↓ 4L 7s	5L 7s ↘

┌╥┬╥┬┬╥┬╥┬┬┐ │║│║││║│║│││ ││││││││││││ └┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLssLsLss ssLsLssLsL
Equave	2/1 (1200.0¢)
Period	1\2 (600.0¢)
Generator size
Bright	2\10 to 1\4 (240.0¢ to 300.0¢)
Dark	1\4 to 3\10 (300.0¢ to 360.0¢)
TAMNAMS information
Name	lime
Prefix	lime-
Abbrev.	lm
Related MOS scales
Parent	4L 2s
Sister	6L 4s
Daughters	10L 4s, 4L 10s
Neutralized	8L 2s
2-Flought	14L 6s, 4L 16s
Equal tunings
Equalized (L:s = 1:1)	2\10 (240.0¢)
Supersoft (L:s = 4:3)	7\34 (247.1¢)
Soft (L:s = 3:2)	5\24 (250.0¢)
Semisoft (L:s = 5:3)	8\38 (252.6¢)
Basic (L:s = 2:1)	3\14 (257.1¢)
Semihard (L:s = 5:2)	7\32 (262.5¢)
Hard (L:s = 3:1)	4\18 (266.7¢)
Superhard (L:s = 4:1)	5\22 (272.7¢)
Collapsed (L:s = 1:0)	1\4 (300.0¢)

4L 6s, named lime in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 6 small steps, with a period of 2 large steps and 3 small steps that repeats every 600.0¢, or twice every octave. Generators that produce this scale range from 240¢ to 300¢, or from 300¢ to 360¢.

Modes

Scale degrees of the modes of 4L 6s 

UDP	Cyclic Order	Step Pattern	Scale Degree (limedegree)
			0	1	2	3	4	5	6	7	8	9	10
8|0(2)	1	LsLssLsLss	Perf.	Maj.	Perf.	Aug.	Maj.	Perf.	Maj.	Perf.	Aug.	Maj.	Perf.
6|2(2)	3	LssLsLssLs	Perf.	Maj.	Perf.	Perf.	Maj.	Perf.	Maj.	Perf.	Perf.	Maj.	Perf.
4|4(2)	5	sLsLssLsLs	Perf.	Min.	Perf.	Perf.	Maj.	Perf.	Min.	Perf.	Perf.	Maj.	Perf.
2|6(2)	2	sLssLsLssL	Perf.	Min.	Perf.	Perf.	Min.	Perf.	Min.	Perf.	Perf.	Min.	Perf.
0|8(2)	4	ssLsLssLsL	Perf.	Min.	Dim.	Perf.	Min.	Perf.	Min.	Dim.	Perf.	Min.	Perf.

Proposed names

Lyman Young has proposed names for the modes of 4L 6s, which are shown below. They can be found in his patent for a quartertone slide rule.

Modes names of 4L 6s

UDP	Step pattern	Lyman Young's names
0	LsLssLsLss	Atlantic
2	LssLsLssLs	Lumian
4	sLsLssLsLs	Pacific
6	sLssLsLssL	Taliesin
8	ssLsLssLsL	Dresden

Scale tree

Scale Tree and Tuning Spectrum of 4L 6s

Generator(edo)						Cents		Step Ratio		Comments
						Bright	Dark	L:s	Hardness
2\10						240.000	360.000	1:1	1.000	Equalized 4L 6s
					11\54	244.444	355.556	6:5	1.200	Semiseptiquarter ↑
				9\44		245.455	354.545	5:4	1.250
					16\78	246.154	353.846	9:7	1.286
			7\34			247.059	352.941	4:3	1.333	Supersoft 4L 6s Hemifourths/angirus
					19\92	247.826	352.174	11:8	1.375
				12\58		248.276	351.724	7:5	1.400	Sruti
					17\82	248.780	351.220	10:7	1.429	Semihemi, Hemipyth (249.0225¢)
		5\24				250.000	350.000	3:2	1.500	Soft 4L 6s Decimal is around here
					18\86	251.163	348.837	11:7	1.571
				13\62		251.613	348.387	8:5	1.600
					21\100	252.000	348.000	13:8	1.625
			8\38			252.632	347.368	5:3	1.667	Semisoft 4L 6s
					19\90	253.333	346.667	12:7	1.714
				11\52		253.846	346.154	7:4	1.750
					14\66	254.545	345.455	9:5	1.800
	3\14					257.143	342.857	2:1	2.000	Basic 4L 6s Scales with tunings softer than this are proper
					13\60	260.000	340.000	9:4	2.250
				10\46		260.870	339.130	7:3	2.333	Bamity
					17\78	261.538	338.462	12:5	2.400
			7\32			262.500	337.500	5:2	2.500	Semihard 4L 6s
					18\82	263.415	336.585	13:5	2.600
				11\50		264.000	336.000	8:3	2.667
					15\68	264.706	335.294	11:4	2.750
		4\18				266.667	333.333	3:1	3.000	Hard 4L 6s
					13\58	268.966	331.034	10:3	3.333
				9\40		270.000	330.000	7:2	3.500
					14\62	270.968	329.032	11:3	3.667
			5\22			272.727	327.273	4:1	4.000	Superhard 4L 6s
					11\48	275.000	325.000	9:2	4.500	Doublewide
				6\26		276.923	323.077	5:1	5.000
					7\30	280.000	320.000	6:1	6.000	Bikleismic ↓
1\4						300.000	300.000	1:0	→ ∞	Collapsed 4L 6s

Music

Cole

• The Hymn of Pergele, a short piece in Hemipyth[10] 4|4(2) (Pacific mode of 4L 6s)