6L 14s

↖ 5L 13s	↑ 6L 13s	7L 13s ↗
← 5L 14s	6L 14s	7L 14s →
↙ 5L 15s	↓ 6L 15s	7L 15s ↘

┌╥┬┬╥┬┬╥┬┬┬╥┬┬╥┬┬╥┬┬┬┐ │║││║││║│││║││║││║││││ ││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssLssLsssLssLssLsss sssLssLssLsssLssLssL
Equave	2/1 (1200.0¢)
Period	1\2 (600.0¢)
Generator size
Bright	3\20 to 1\6 (180.0¢ to 200.0¢)
Dark	2\6 to 7\20 (400.0¢ to 420.0¢)
TAMNAMS information
Descends from	6L 2s (ekic)
Ancestor's step ratio range	3:1 to 1:0 (hard)
Related MOS scales
Parent	6L 8s
Sister	14L 6s
Daughters	20L 6s, 6L 20s
Neutralized	12L 8s
2-Flought	26L 14s, 6L 34s
Equal tunings
Equalized (L:s = 1:1)	3\20 (180.0¢)
Supersoft (L:s = 4:3)	10\66 (181.8¢)
Soft (L:s = 3:2)	7\46 (182.6¢)
Semisoft (L:s = 5:3)	11\72 (183.3¢)
Basic (L:s = 2:1)	4\26 (184.6¢)
Semihard (L:s = 5:2)	9\58 (186.2¢)
Hard (L:s = 3:1)	5\32 (187.5¢)
Superhard (L:s = 4:1)	6\38 (189.5¢)
Collapsed (L:s = 1:0)	1\6 (200.0¢)

6L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 14 small steps, with a period of 3 large steps and 7 small steps that repeats every 600.0¢, or twice every octave. 6L 14s is a grandchild scale of 6L 2s, expanding it by 12 tones. Generators that produce this scale range from 180¢ to 200¢, or from 400¢ to 420¢.

Modes

Modes of 6L 14s

UDP	Cyclic order	Step pattern
18|0(2)	1	LssLssLsssLssLssLsss
16|2(2)	4	LssLsssLssLssLsssLss
14|4(2)	7	LsssLssLssLsssLssLss
12|6(2)	10	sLssLssLsssLssLssLss
10|8(2)	3	sLssLsssLssLssLsssLs
8|10(2)	6	sLsssLssLssLsssLssLs
6|12(2)	9	ssLssLssLsssLssLssLs
4|14(2)	2	ssLssLsssLssLssLsssL
2|16(2)	5	ssLsssLssLssLsssLssL
0|18(2)	8	sssLssLssLsssLssLssL

Intervals

Intervals of 6L 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 60.0¢
	Major 1-mosstep	M1ms	L	60.0¢ to 200.0¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0¢ to 120.0¢
	Major 2-mosstep	M2ms	L + s	120.0¢ to 200.0¢
3-mosstep	Diminished 3-mosstep	d3ms	3s	0.0¢ to 180.0¢
	Perfect 3-mosstep	P3ms	L + 2s	180.0¢ to 200.0¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	200.0¢ to 240.0¢
	Major 4-mosstep	M4ms	2L + 2s	240.0¢ to 400.0¢
5-mosstep	Minor 5-mosstep	m5ms	L + 4s	200.0¢ to 300.0¢
	Major 5-mosstep	M5ms	2L + 3s	300.0¢ to 400.0¢
6-mosstep	Minor 6-mosstep	m6ms	L + 5s	200.0¢ to 360.0¢
	Major 6-mosstep	M6ms	2L + 4s	360.0¢ to 400.0¢
7-mosstep	Perfect 7-mosstep	P7ms	2L + 5s	400.0¢ to 420.0¢
	Augmented 7-mosstep	A7ms	3L + 4s	420.0¢ to 600.0¢
8-mosstep	Minor 8-mosstep	m8ms	2L + 6s	400.0¢ to 480.0¢
	Major 8-mosstep	M8ms	3L + 5s	480.0¢ to 600.0¢
9-mosstep	Minor 9-mosstep	m9ms	2L + 7s	400.0¢ to 540.0¢
	Major 9-mosstep	M9ms	3L + 6s	540.0¢ to 600.0¢
10-mosstep	Perfect 10-mosstep	P10ms	3L + 7s	600.0¢
11-mosstep	Minor 11-mosstep	m11ms	3L + 8s	600.0¢ to 660.0¢
	Major 11-mosstep	M11ms	4L + 7s	660.0¢ to 800.0¢
12-mosstep	Minor 12-mosstep	m12ms	3L + 9s	600.0¢ to 720.0¢
	Major 12-mosstep	M12ms	4L + 8s	720.0¢ to 800.0¢
13-mosstep	Diminished 13-mosstep	d13ms	3L + 10s	600.0¢ to 780.0¢
	Perfect 13-mosstep	P13ms	4L + 9s	780.0¢ to 800.0¢
14-mosstep	Minor 14-mosstep	m14ms	4L + 10s	800.0¢ to 840.0¢
	Major 14-mosstep	M14ms	5L + 9s	840.0¢ to 1000.0¢
15-mosstep	Minor 15-mosstep	m15ms	4L + 11s	800.0¢ to 900.0¢
	Major 15-mosstep	M15ms	5L + 10s	900.0¢ to 1000.0¢
16-mosstep	Minor 16-mosstep	m16ms	4L + 12s	800.0¢ to 960.0¢
	Major 16-mosstep	M16ms	5L + 11s	960.0¢ to 1000.0¢
17-mosstep	Perfect 17-mosstep	P17ms	5L + 12s	1000.0¢ to 1020.0¢
	Augmented 17-mosstep	A17ms	6L + 11s	1020.0¢ to 1200.0¢
18-mosstep	Minor 18-mosstep	m18ms	5L + 13s	1000.0¢ to 1080.0¢
	Major 18-mosstep	M18ms	6L + 12s	1080.0¢ to 1200.0¢
19-mosstep	Minor 19-mosstep	m19ms	5L + 14s	1000.0¢ to 1140.0¢
	Major 19-mosstep	M19ms	6L + 13s	1140.0¢ to 1200.0¢
20-mosstep	Perfect 20-mosstep	P20ms	6L + 14s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 6L 14s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
3\20						180.000	420.000	1:1	1.000	Equalized 6L 14s
					16\106	181.132	418.868	6:5	1.200
				13\86		181.395	418.605	5:4	1.250
					23\152	181.579	418.421	9:7	1.286
			10\66			181.818	418.182	4:3	1.333	Supersoft 6L 14s
					27\178	182.022	417.978	11:8	1.375
				17\112		182.143	417.857	7:5	1.400
					24\158	182.278	417.722	10:7	1.429
		7\46				182.609	417.391	3:2	1.500	Soft 6L 14s
					25\164	182.927	417.073	11:7	1.571
				18\118		183.051	416.949	8:5	1.600
					29\190	183.158	416.842	13:8	1.625
			11\72			183.333	416.667	5:3	1.667	Semisoft 6L 14s
					26\170	183.529	416.471	12:7	1.714
				15\98		183.673	416.327	7:4	1.750
					19\124	183.871	416.129	9:5	1.800
	4\26					184.615	415.385	2:1	2.000	Basic 6L 14s Scales with tunings softer than this are proper
					17\110	185.455	414.545	9:4	2.250
				13\84		185.714	414.286	7:3	2.333
					22\142	185.915	414.085	12:5	2.400
			9\58			186.207	413.793	5:2	2.500	Semihard 6L 14s
					23\148	186.486	413.514	13:5	2.600
				14\90		186.667	413.333	8:3	2.667
					19\122	186.885	413.115	11:4	2.750
		5\32				187.500	412.500	3:1	3.000	Hard 6L 14s
					16\102	188.235	411.765	10:3	3.333
				11\70		188.571	411.429	7:2	3.500
					17\108	188.889	411.111	11:3	3.667
			6\38			189.474	410.526	4:1	4.000	Superhard 6L 14s
					13\82	190.244	409.756	9:2	4.500
				7\44		190.909	409.091	5:1	5.000
					8\50	192.000	408.000	6:1	6.000
1\6						200.000	400.000	1:0	→ ∞	Collapsed 6L 14s

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