4L 14s

↖ 3L 13s	↑ 4L 13s	5L 13s ↗
← 3L 14s	4L 14s	5L 14s →
↙ 3L 15s	↓ 4L 15s	5L 15s ↘

Scale structure
Step pattern	LsssLssssLsssLssss ssssLsssLssssLsssL
Equave	2/1 (1200.0 ¢)
Period	1\2 (600.0 ¢)
Generator size
Bright	4\18 to 1\4 (266.7 ¢ to 300.0 ¢)
Dark	1\4 to 5\18 (300.0 ¢ to 333.3 ¢)
TAMNAMS information
Related to	4L 6s (lime)
With tunings	3:1 to 1:0 (hard)
Related MOS scales
Parent	4L 10s
Sister	14L 4s
Daughters	18L 4s, 4L 18s
Neutralized	8L 10s
2-Flought	22L 14s, 4L 32s
Equal tunings
Equalized (L:s = 1:1)	4\18 (266.7 ¢)
Supersoft (L:s = 4:3)	13\58 (269.0 ¢)
Soft (L:s = 3:2)	9\40 (270.0 ¢)
Semisoft (L:s = 5:3)	14\62 (271.0 ¢)
Basic (L:s = 2:1)	5\22 (272.7 ¢)
Semihard (L:s = 5:2)	11\48 (275.0 ¢)
Hard (L:s = 3:1)	6\26 (276.9 ¢)
Superhard (L:s = 4:1)	7\30 (280.0 ¢)
Collapsed (L:s = 1:0)	1\4 (300.0 ¢)
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4L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 14 small steps, with a period of 2 large steps and 7 small steps that repeats every 600.0 ¢, or twice every octave. 4L 14s is a grandchild scale of 4L 6s, expanding it by 8 tones. Generators that produce this scale range from 266.7 ¢ to 300 ¢, or from 300 ¢ to 333.3 ¢.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

Intervals

Intervals of 4L 14s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0 ¢ to 66.7 ¢
	Major 1-mosstep	M1ms	L	66.7 ¢ to 300.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 133.3 ¢
	Major 2-mosstep	M2ms	L + s	133.3 ¢ to 300.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 200.0 ¢
	Major 3-mosstep	M3ms	L + 2s	200.0 ¢ to 300.0 ¢
4-mosstep	Diminished 4-mosstep	d4ms	4s	0.0 ¢ to 266.7 ¢
	Perfect 4-mosstep	P4ms	L + 3s	266.7 ¢ to 300.0 ¢
5-mosstep	Perfect 5-mosstep	P5ms	L + 4s	300.0 ¢ to 333.3 ¢
	Augmented 5-mosstep	A5ms	2L + 3s	333.3 ¢ to 600.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	L + 5s	300.0 ¢ to 400.0 ¢
	Major 6-mosstep	M6ms	2L + 4s	400.0 ¢ to 600.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	L + 6s	300.0 ¢ to 466.7 ¢
	Major 7-mosstep	M7ms	2L + 5s	466.7 ¢ to 600.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	L + 7s	300.0 ¢ to 533.3 ¢
	Major 8-mosstep	M8ms	2L + 6s	533.3 ¢ to 600.0 ¢
9-mosstep	Perfect 9-mosstep	P9ms	2L + 7s	600.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	2L + 8s	600.0 ¢ to 666.7 ¢
	Major 10-mosstep	M10ms	3L + 7s	666.7 ¢ to 900.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	2L + 9s	600.0 ¢ to 733.3 ¢
	Major 11-mosstep	M11ms	3L + 8s	733.3 ¢ to 900.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	2L + 10s	600.0 ¢ to 800.0 ¢
	Major 12-mosstep	M12ms	3L + 9s	800.0 ¢ to 900.0 ¢
13-mosstep	Diminished 13-mosstep	d13ms	2L + 11s	600.0 ¢ to 866.7 ¢
	Perfect 13-mosstep	P13ms	3L + 10s	866.7 ¢ to 900.0 ¢
14-mosstep	Perfect 14-mosstep	P14ms	3L + 11s	900.0 ¢ to 933.3 ¢
	Augmented 14-mosstep	A14ms	4L + 10s	933.3 ¢ to 1200.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	3L + 12s	900.0 ¢ to 1000.0 ¢
	Major 15-mosstep	M15ms	4L + 11s	1000.0 ¢ to 1200.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	3L + 13s	900.0 ¢ to 1066.7 ¢
	Major 16-mosstep	M16ms	4L + 12s	1066.7 ¢ to 1200.0 ¢
17-mosstep	Minor 17-mosstep	m17ms	3L + 14s	900.0 ¢ to 1133.3 ¢
	Major 17-mosstep	M17ms	4L + 13s	1133.3 ¢ to 1200.0 ¢
18-mosstep	Perfect 18-mosstep	P18ms	4L + 14s	1200.0 ¢

Modes

Scale degrees of the modes of 4L 14s

UDP	Cyclic order	Step pattern	Scale degree (mosdegree)
			0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18
16|0(2)	1	LsssLssssLsssLssss	Perf.	Maj.	Maj.	Maj.	Perf.	Aug.	Maj.	Maj.	Maj.	Perf.	Maj.	Maj.	Maj.	Perf.	Aug.	Maj.	Maj.	Maj.	Perf.
14|2(2)	5	LssssLsssLssssLsss	Perf.	Maj.	Maj.	Maj.	Perf.	Perf.	Maj.	Maj.	Maj.	Perf.	Maj.	Maj.	Maj.	Perf.	Perf.	Maj.	Maj.	Maj.	Perf.
12|4(2)	9	sLsssLssssLsssLsss	Perf.	Min.	Maj.	Maj.	Perf.	Perf.	Maj.	Maj.	Maj.	Perf.	Min.	Maj.	Maj.	Perf.	Perf.	Maj.	Maj.	Maj.	Perf.
10|6(2)	4	sLssssLsssLssssLss	Perf.	Min.	Maj.	Maj.	Perf.	Perf.	Min.	Maj.	Maj.	Perf.	Min.	Maj.	Maj.	Perf.	Perf.	Min.	Maj.	Maj.	Perf.
8|8(2)	8	ssLsssLssssLsssLss	Perf.	Min.	Min.	Maj.	Perf.	Perf.	Min.	Maj.	Maj.	Perf.	Min.	Min.	Maj.	Perf.	Perf.	Min.	Maj.	Maj.	Perf.
6|10(2)	3	ssLssssLsssLssssLs	Perf.	Min.	Min.	Maj.	Perf.	Perf.	Min.	Min.	Maj.	Perf.	Min.	Min.	Maj.	Perf.	Perf.	Min.	Min.	Maj.	Perf.
4|12(2)	7	sssLsssLssssLsssLs	Perf.	Min.	Min.	Min.	Perf.	Perf.	Min.	Min.	Maj.	Perf.	Min.	Min.	Min.	Perf.	Perf.	Min.	Min.	Maj.	Perf.
2|14(2)	2	sssLssssLsssLssssL	Perf.	Min.	Min.	Min.	Perf.	Perf.	Min.	Min.	Min.	Perf.	Min.	Min.	Min.	Perf.	Perf.	Min.	Min.	Min.	Perf.
0|16(2)	6	ssssLsssLssssLsssL	Perf.	Min.	Min.	Min.	Dim.	Perf.	Min.	Min.	Min.	Perf.	Min.	Min.	Min.	Dim.	Perf.	Min.	Min.	Min.	Perf.

Scale tree

Scale tree and tuning spectrum of 4L 14s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
4\18						266.667	333.333	1:1	1.000	Equalized 4L 14s
					21\94	268.085	331.915	6:5	1.200
				17\76		268.421	331.579	5:4	1.250
					30\134	268.657	331.343	9:7	1.286
			13\58			268.966	331.034	4:3	1.333	Supersoft 4L 14s
					35\156	269.231	330.769	11:8	1.375
				22\98		269.388	330.612	7:5	1.400
					31\138	269.565	330.435	10:7	1.429
		9\40				270.000	330.000	3:2	1.500	Soft 4L 14s
					32\142	270.423	329.577	11:7	1.571
				23\102		270.588	329.412	8:5	1.600
					37\164	270.732	329.268	13:8	1.625
			14\62			270.968	329.032	5:3	1.667	Semisoft 4L 14s
					33\146	271.233	328.767	12:7	1.714
				19\84		271.429	328.571	7:4	1.750
					24\106	271.698	328.302	9:5	1.800
	5\22					272.727	327.273	2:1	2.000	Basic 4L 14s Scales with tunings softer than this are proper
					21\92	273.913	326.087	9:4	2.250
				16\70		274.286	325.714	7:3	2.333
					27\118	274.576	325.424	12:5	2.400
			11\48			275.000	325.000	5:2	2.500	Semihard 4L 14s
					28\122	275.410	324.590	13:5	2.600
				17\74		275.676	324.324	8:3	2.667
					23\100	276.000	324.000	11:4	2.750
		6\26				276.923	323.077	3:1	3.000	Hard 4L 14s
					19\82	278.049	321.951	10:3	3.333
				13\56		278.571	321.429	7:2	3.500
					20\86	279.070	320.930	11:3	3.667
			7\30			280.000	320.000	4:1	4.000	Superhard 4L 14s
					15\64	281.250	318.750	9:2	4.500
				8\34		282.353	317.647	5:1	5.000
					9\38	284.211	315.789	6:1	6.000
1\4						300.000	300.000	1:0	→ ∞	Collapsed 4L 14s

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