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
Descends from	4L 6s (lime)
Ancestor's step ratio range	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¢)

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¢.

Modes

Modes of 4L 14s

UDP	Cyclic order	Step pattern
16|0(2)	1	LsssLssssLsssLssss
14|2(2)	5	LssssLsssLssssLsss
12|4(2)	9	sLsssLssssLsssLsss
10|6(2)	4	sLssssLsssLssssLss
8|8(2)	8	ssLsssLssssLsssLss
6|10(2)	3	ssLssssLsssLssssLs
4|12(2)	7	sssLsssLssssLsssLs
2|14(2)	2	sssLssssLsssLssssL
0|16(2)	6	ssssLsssLssssLsssL

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¢

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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