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 ¢.

Intervals

Intervals of 4L 6s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-limestep	Perfect 0-limestep	P0lms	0	0.0 ¢
1-limestep	Minor 1-limestep	m1lms	s	0.0 ¢ to 120.0 ¢
	Major 1-limestep	M1lms	L	120.0 ¢ to 300.0 ¢
2-limestep	Diminished 2-limestep	d2lms	2s	0.0 ¢ to 240.0 ¢
	Perfect 2-limestep	P2lms	L + s	240.0 ¢ to 300.0 ¢
3-limestep	Perfect 3-limestep	P3lms	L + 2s	300.0 ¢ to 360.0 ¢
	Augmented 3-limestep	A3lms	2L + s	360.0 ¢ to 600.0 ¢
4-limestep	Minor 4-limestep	m4lms	L + 3s	300.0 ¢ to 480.0 ¢
	Major 4-limestep	M4lms	2L + 2s	480.0 ¢ to 600.0 ¢
5-limestep	Perfect 5-limestep	P5lms	2L + 3s	600.0 ¢
6-limestep	Minor 6-limestep	m6lms	2L + 4s	600.0 ¢ to 720.0 ¢
	Major 6-limestep	M6lms	3L + 3s	720.0 ¢ to 900.0 ¢
7-limestep	Diminished 7-limestep	d7lms	2L + 5s	600.0 ¢ to 840.0 ¢
	Perfect 7-limestep	P7lms	3L + 4s	840.0 ¢ to 900.0 ¢
8-limestep	Perfect 8-limestep	P8lms	3L + 5s	900.0 ¢ to 960.0 ¢
	Augmented 8-limestep	A8lms	4L + 4s	960.0 ¢ to 1200.0 ¢
9-limestep	Minor 9-limestep	m9lms	3L + 6s	900.0 ¢ to 1080.0 ¢
	Major 9-limestep	M9lms	4L + 5s	1080.0 ¢ to 1200.0 ¢
10-limestep	Perfect 10-limestep	P10lms	4L + 6s	1200.0 ¢

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

Music

Cole

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