14L 6s

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

┌╥╥╥┬╥╥┬╥╥┬╥╥╥┬╥╥┬╥╥┬┐ │║║║│║║│║║│║║║│║║│║║││ ││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLsLLsLLsLLLsLLsLLs sLLsLLsLLLsLLsLLsLLL
Equave	2/1 (1200.0¢)
Period	1\2 (600.0¢)
Generator size
Bright	7\20 to 5\14 (420.0¢ to 428.6¢)
Dark	2\14 to 3\20 (171.4¢ to 180.0¢)
TAMNAMS information
Descends from	6L 2s (ekic)
Ancestor's step ratio range	2:1 to 3:1 (hypohard)
Related MOS scales
Parent	6L 8s
Sister	6L 14s
Daughters	20L 14s, 14L 20s
Neutralized	8L 12s
2-Flought	34L 6s, 14L 26s
Equal tunings
Equalized (L:s = 1:1)	7\20 (420.0¢)
Supersoft (L:s = 4:3)	26\74 (421.6¢)
Soft (L:s = 3:2)	19\54 (422.2¢)
Semisoft (L:s = 5:3)	31\88 (422.7¢)
Basic (L:s = 2:1)	12\34 (423.5¢)
Semihard (L:s = 5:2)	29\82 (424.4¢)
Hard (L:s = 3:1)	17\48 (425.0¢)
Superhard (L:s = 4:1)	22\62 (425.8¢)
Collapsed (L:s = 1:0)	5\14 (428.6¢)

14L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 14 large steps and 6 small steps, with a period of 7 large steps and 3 small steps that repeats every 600.0¢, or twice every octave. 14L 6s is a grandchild scale of 6L 2s, expanding it by 12 tones. Generators that produce this scale range from 420¢ to 428.6¢, or from 171.4¢ to 180¢.

Modes

Modes of 14L 6s

UDP	Cyclic order	Step pattern
18|0(2)	1	LLLsLLsLLsLLLsLLsLLs
16|2(2)	8	LLsLLLsLLsLLsLLLsLLs
14|4(2)	5	LLsLLsLLLsLLsLLsLLLs
12|6(2)	2	LLsLLsLLsLLLsLLsLLsL
10|8(2)	9	LsLLLsLLsLLsLLLsLLsL
8|10(2)	6	LsLLsLLLsLLsLLsLLLsL
6|12(2)	3	LsLLsLLsLLLsLLsLLsLL
4|14(2)	10	sLLLsLLsLLsLLLsLLsLL
2|16(2)	7	sLLsLLLsLLsLLsLLLsLL
0|18(2)	4	sLLsLLsLLLsLLsLLsLLL

Intervals

Intervals of 14L 6s

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 85.7¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	85.7¢ to 120.0¢
	Major 2-mosstep	M2ms	2L	120.0¢ to 171.4¢
3-mosstep	Perfect 3-mosstep	P3ms	2L + s	171.4¢ to 180.0¢
	Augmented 3-mosstep	A3ms	3L	180.0¢ to 257.1¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	171.4¢ to 240.0¢
	Major 4-mosstep	M4ms	3L + s	240.0¢ to 257.1¢
5-mosstep	Minor 5-mosstep	m5ms	3L + 2s	257.1¢ to 300.0¢
	Major 5-mosstep	M5ms	4L + s	300.0¢ to 342.9¢
6-mosstep	Minor 6-mosstep	m6ms	4L + 2s	342.9¢ to 360.0¢
	Major 6-mosstep	M6ms	5L + s	360.0¢ to 428.6¢
7-mosstep	Diminished 7-mosstep	d7ms	4L + 3s	342.9¢ to 420.0¢
	Perfect 7-mosstep	P7ms	5L + 2s	420.0¢ to 428.6¢
8-mosstep	Minor 8-mosstep	m8ms	5L + 3s	428.6¢ to 480.0¢
	Major 8-mosstep	M8ms	6L + 2s	480.0¢ to 514.3¢
9-mosstep	Minor 9-mosstep	m9ms	6L + 3s	514.3¢ to 540.0¢
	Major 9-mosstep	M9ms	7L + 2s	540.0¢ to 600.0¢
10-mosstep	Perfect 10-mosstep	P10ms	7L + 3s	600.0¢
11-mosstep	Minor 11-mosstep	m11ms	7L + 4s	600.0¢ to 660.0¢
	Major 11-mosstep	M11ms	8L + 3s	660.0¢ to 685.7¢
12-mosstep	Minor 12-mosstep	m12ms	8L + 4s	685.7¢ to 720.0¢
	Major 12-mosstep	M12ms	9L + 3s	720.0¢ to 771.4¢
13-mosstep	Perfect 13-mosstep	P13ms	9L + 4s	771.4¢ to 780.0¢
	Augmented 13-mosstep	A13ms	10L + 3s	780.0¢ to 857.1¢
14-mosstep	Minor 14-mosstep	m14ms	9L + 5s	771.4¢ to 840.0¢
	Major 14-mosstep	M14ms	10L + 4s	840.0¢ to 857.1¢
15-mosstep	Minor 15-mosstep	m15ms	10L + 5s	857.1¢ to 900.0¢
	Major 15-mosstep	M15ms	11L + 4s	900.0¢ to 942.9¢
16-mosstep	Minor 16-mosstep	m16ms	11L + 5s	942.9¢ to 960.0¢
	Major 16-mosstep	M16ms	12L + 4s	960.0¢ to 1028.6¢
17-mosstep	Diminished 17-mosstep	d17ms	11L + 6s	942.9¢ to 1020.0¢
	Perfect 17-mosstep	P17ms	12L + 5s	1020.0¢ to 1028.6¢
18-mosstep	Minor 18-mosstep	m18ms	12L + 6s	1028.6¢ to 1080.0¢
	Major 18-mosstep	M18ms	13L + 5s	1080.0¢ to 1114.3¢
19-mosstep	Minor 19-mosstep	m19ms	13L + 6s	1114.3¢ to 1140.0¢
	Major 19-mosstep	M19ms	14L + 5s	1140.0¢ to 1200.0¢
20-mosstep	Perfect 20-mosstep	P20ms	14L + 6s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 14L 6s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
7\20						420.000	180.000	1:1	1.000	Equalized 14L 6s
					40\114	421.053	178.947	6:5	1.200
				33\94		421.277	178.723	5:4	1.250
					59\168	421.429	178.571	9:7	1.286
			26\74			421.622	178.378	4:3	1.333	Supersoft 14L 6s
					71\202	421.782	178.218	11:8	1.375
				45\128		421.875	178.125	7:5	1.400
					64\182	421.978	178.022	10:7	1.429
		19\54				422.222	177.778	3:2	1.500	Soft 14L 6s
					69\196	422.449	177.551	11:7	1.571
				50\142		422.535	177.465	8:5	1.600
					81\230	422.609	177.391	13:8	1.625
			31\88			422.727	177.273	5:3	1.667	Semisoft 14L 6s
					74\210	422.857	177.143	12:7	1.714
				43\122		422.951	177.049	7:4	1.750
					55\156	423.077	176.923	9:5	1.800
	12\34					423.529	176.471	2:1	2.000	Basic 14L 6s Scales with tunings softer than this are proper
					53\150	424.000	176.000	9:4	2.250
				41\116		424.138	175.862	7:3	2.333
					70\198	424.242	175.758	12:5	2.400
			29\82			424.390	175.610	5:2	2.500	Semihard 14L 6s
					75\212	424.528	175.472	13:5	2.600
				46\130		424.615	175.385	8:3	2.667
					63\178	424.719	175.281	11:4	2.750
		17\48				425.000	175.000	3:1	3.000	Hard 14L 6s
					56\158	425.316	174.684	10:3	3.333
				39\110		425.455	174.545	7:2	3.500
					61\172	425.581	174.419	11:3	3.667
			22\62			425.806	174.194	4:1	4.000	Superhard 14L 6s
					49\138	426.087	173.913	9:2	4.500
				27\76		426.316	173.684	5:1	5.000
					32\90	426.667	173.333	6:1	6.000
5\14						428.571	171.429	1:0	→ ∞	Collapsed 14L 6s

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