2L 14s

↖ 1L 13s	↑ 2L 13s	3L 13s ↗
← 1L 14s	2L 14s	3L 14s →
↙ 1L 15s	↓ 2L 15s	3L 15s ↘

┌╥┬┬┬┬┬┬┬╥┬┬┬┬┬┬┬┐ │║│││││││║││││││││ ││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsssssssLsssssss sssssssLsssssssL
Equave	2/1 (1200.0¢)
Period	1\2 (600.0¢)
Generator size
Bright	7\16 to 1\2 (525.0¢ to 600.0¢)
Dark	0\2 to 1\16 (0.0¢ to 75.0¢)
TAMNAMS information
Descends from	2L 8s (jaric)
Ancestor's step ratio range	4:1 to 1:0 (ultrahard)
Related MOS scales
Parent	2L 12s
Sister	14L 2s
Daughters	16L 2s, 2L 16s
Neutralized	4L 12s
2-Flought	18L 14s, 2L 30s
Equal tunings
Equalized (L:s = 1:1)	7\16 (525.0¢)
Supersoft (L:s = 4:3)	22\50 (528.0¢)
Soft (L:s = 3:2)	15\34 (529.4¢)
Semisoft (L:s = 5:3)	23\52 (530.8¢)
Basic (L:s = 2:1)	8\18 (533.3¢)
Semihard (L:s = 5:2)	17\38 (536.8¢)
Hard (L:s = 3:1)	9\20 (540.0¢)
Superhard (L:s = 4:1)	10\22 (545.5¢)
Collapsed (L:s = 1:0)	1\2 (600.0¢)

2L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 14 small steps, with a period of 1 large step and 7 small steps that repeats every 600.0¢, or twice every octave. 2L 14s is a great-grandchild scale of 2L 8s, expanding it by 6 tones. Generators that produce this scale range from 525¢ to 600¢, or from 0¢ to 75¢.

Modes

Modes of 2L 14s

UDP	Cyclic order	Step pattern
14|0(2)	1	LsssssssLsssssss
12|2(2)	8	sLsssssssLssssss
10|4(2)	7	ssLsssssssLsssss
8|6(2)	6	sssLsssssssLssss
6|8(2)	5	ssssLsssssssLsss
4|10(2)	4	sssssLsssssssLss
2|12(2)	3	ssssssLsssssssLs
0|14(2)	2	sssssssLsssssssL

Intervals

Intervals of 2L 14s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0¢
1-mosstep	Perfect 1-mosstep	P1ms	s	0.0¢ to 75.0¢
	Augmented 1-mosstep	A1ms	L	75.0¢ to 600.0¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0¢ to 150.0¢
	Major 2-mosstep	M2ms	L + s	150.0¢ to 600.0¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0¢ to 225.0¢
	Major 3-mosstep	M3ms	L + 2s	225.0¢ to 600.0¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0¢ to 300.0¢
	Major 4-mosstep	M4ms	L + 3s	300.0¢ to 600.0¢
5-mosstep	Minor 5-mosstep	m5ms	5s	0.0¢ to 375.0¢
	Major 5-mosstep	M5ms	L + 4s	375.0¢ to 600.0¢
6-mosstep	Minor 6-mosstep	m6ms	6s	0.0¢ to 450.0¢
	Major 6-mosstep	M6ms	L + 5s	450.0¢ to 600.0¢
7-mosstep	Diminished 7-mosstep	d7ms	7s	0.0¢ to 525.0¢
	Perfect 7-mosstep	P7ms	L + 6s	525.0¢ to 600.0¢
8-mosstep	Perfect 8-mosstep	P8ms	L + 7s	600.0¢
9-mosstep	Perfect 9-mosstep	P9ms	L + 8s	600.0¢ to 675.0¢
	Augmented 9-mosstep	A9ms	2L + 7s	675.0¢ to 1200.0¢
10-mosstep	Minor 10-mosstep	m10ms	L + 9s	600.0¢ to 750.0¢
	Major 10-mosstep	M10ms	2L + 8s	750.0¢ to 1200.0¢
11-mosstep	Minor 11-mosstep	m11ms	L + 10s	600.0¢ to 825.0¢
	Major 11-mosstep	M11ms	2L + 9s	825.0¢ to 1200.0¢
12-mosstep	Minor 12-mosstep	m12ms	L + 11s	600.0¢ to 900.0¢
	Major 12-mosstep	M12ms	2L + 10s	900.0¢ to 1200.0¢
13-mosstep	Minor 13-mosstep	m13ms	L + 12s	600.0¢ to 975.0¢
	Major 13-mosstep	M13ms	2L + 11s	975.0¢ to 1200.0¢
14-mosstep	Minor 14-mosstep	m14ms	L + 13s	600.0¢ to 1050.0¢
	Major 14-mosstep	M14ms	2L + 12s	1050.0¢ to 1200.0¢
15-mosstep	Diminished 15-mosstep	d15ms	L + 14s	600.0¢ to 1125.0¢
	Perfect 15-mosstep	P15ms	2L + 13s	1125.0¢ to 1200.0¢
16-mosstep	Perfect 16-mosstep	P16ms	2L + 14s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 2L 14s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
7\16						525.000	75.000	1:1	1.000	Equalized 2L 14s
					36\82	526.829	73.171	6:5	1.200
				29\66		527.273	72.727	5:4	1.250
					51\116	527.586	72.414	9:7	1.286
			22\50			528.000	72.000	4:3	1.333	Supersoft 2L 14s
					59\134	528.358	71.642	11:8	1.375
				37\84		528.571	71.429	7:5	1.400
					52\118	528.814	71.186	10:7	1.429
		15\34				529.412	70.588	3:2	1.500	Soft 2L 14s
					53\120	530.000	70.000	11:7	1.571
				38\86		530.233	69.767	8:5	1.600
					61\138	530.435	69.565	13:8	1.625
			23\52			530.769	69.231	5:3	1.667	Semisoft 2L 14s
					54\122	531.148	68.852	12:7	1.714
				31\70		531.429	68.571	7:4	1.750
					39\88	531.818	68.182	9:5	1.800
	8\18					533.333	66.667	2:1	2.000	Basic 2L 14s Scales with tunings softer than this are proper
					33\74	535.135	64.865	9:4	2.250
				25\56		535.714	64.286	7:3	2.333
					42\94	536.170	63.830	12:5	2.400
			17\38			536.842	63.158	5:2	2.500	Semihard 2L 14s
					43\96	537.500	62.500	13:5	2.600
				26\58		537.931	62.069	8:3	2.667
					35\78	538.462	61.538	11:4	2.750
		9\20				540.000	60.000	3:1	3.000	Hard 2L 14s
					28\62	541.935	58.065	10:3	3.333
				19\42		542.857	57.143	7:2	3.500
					29\64	543.750	56.250	11:3	3.667
			10\22			545.455	54.545	4:1	4.000	Superhard 2L 14s
					21\46	547.826	52.174	9:2	4.500
				11\24		550.000	50.000	5:1	5.000
					12\26	553.846	46.154	6:1	6.000
1\2						600.000	0.000	1:0	→ ∞	Collapsed 2L 14s

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