6L 8s

↖ 5L 7s	↑ 6L 7s	7L 7s ↗
← 5L 8s	6L 8s	7L 8s →
↙ 5L 9s	↓ 6L 9s	7L 9s ↘

Scale structure
Step pattern	LsLsLssLsLsLss ssLsLsLssLsLsL
Equave	2/1 (1200.0 ¢)
Period	1\2 (600.0 ¢)
Generator size
Bright	2\14 to 1\6 (171.4 ¢ to 200.0 ¢)
Dark	2\6 to 5\14 (400.0 ¢ to 428.6 ¢)
TAMNAMS information
Related to	6L 2s (ekic)
With tunings	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	6L 2s
Sister	8L 6s
Daughters	14L 6s, 6L 14s
Neutralized	12L 2s
2-Flought	20L 8s, 6L 22s
Equal tunings
Equalized (L:s = 1:1)	2\14 (171.4 ¢)
Supersoft (L:s = 4:3)	7\48 (175.0 ¢)
Soft (L:s = 3:2)	5\34 (176.5 ¢)
Semisoft (L:s = 5:3)	8\54 (177.8 ¢)
Basic (L:s = 2:1)	3\20 (180.0 ¢)
Semihard (L:s = 5:2)	7\46 (182.6 ¢)
Hard (L:s = 3:1)	4\26 (184.6 ¢)
Superhard (L:s = 4:1)	5\32 (187.5 ¢)
Collapsed (L:s = 1:0)	1\6 (200.0 ¢)
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6L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 8 small steps, with a period of 3 large steps and 4 small steps that repeats every 600.0 ¢, or twice every octave. 6L 8s is a child scale of 6L 2s, expanding it by 6 tones. Generators that produce this scale range from 171.4 ¢ to 200 ¢, or from 400 ¢ to 428.6 ¢.

Modes

Modes of 6L 8s

UDP	Cyclic order	Step pattern
12|0(2)	1	LsLsLssLsLsLss
10|2(2)	3	LsLssLsLsLssLs
8|4(2)	5	LssLsLsLssLsLs
6|6(2)	7	sLsLsLssLsLsLs
4|8(2)	2	sLsLssLsLsLssL
2|10(2)	4	sLssLsLsLssLsL
0|12(2)	6	ssLsLsLssLsLsL

Intervals

Intervals of 6L 8s

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 85.7 ¢
	Major 1-mosstep	M1ms	L	85.7 ¢ to 200.0 ¢
2-mosstep	Diminished 2-mosstep	d2ms	2s	0.0 ¢ to 171.4 ¢
	Perfect 2-mosstep	P2ms	L + s	171.4 ¢ to 200.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	200.0 ¢ to 257.1 ¢
	Major 3-mosstep	M3ms	2L + s	257.1 ¢ to 400.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	200.0 ¢ to 342.9 ¢
	Major 4-mosstep	M4ms	2L + 2s	342.9 ¢ to 400.0 ¢
5-mosstep	Perfect 5-mosstep	P5ms	2L + 3s	400.0 ¢ to 428.6 ¢
	Augmented 5-mosstep	A5ms	3L + 2s	428.6 ¢ to 600.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	2L + 4s	400.0 ¢ to 514.3 ¢
	Major 6-mosstep	M6ms	3L + 3s	514.3 ¢ to 600.0 ¢
7-mosstep	Perfect 7-mosstep	P7ms	3L + 4s	600.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	3L + 5s	600.0 ¢ to 685.7 ¢
	Major 8-mosstep	M8ms	4L + 4s	685.7 ¢ to 800.0 ¢
9-mosstep	Diminished 9-mosstep	d9ms	3L + 6s	600.0 ¢ to 771.4 ¢
	Perfect 9-mosstep	P9ms	4L + 5s	771.4 ¢ to 800.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	4L + 6s	800.0 ¢ to 857.1 ¢
	Major 10-mosstep	M10ms	5L + 5s	857.1 ¢ to 1000.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	4L + 7s	800.0 ¢ to 942.9 ¢
	Major 11-mosstep	M11ms	5L + 6s	942.9 ¢ to 1000.0 ¢
12-mosstep	Perfect 12-mosstep	P12ms	5L + 7s	1000.0 ¢ to 1028.6 ¢
	Augmented 12-mosstep	A12ms	6L + 6s	1028.6 ¢ to 1200.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	5L + 8s	1000.0 ¢ to 1114.3 ¢
	Major 13-mosstep	M13ms	6L + 7s	1114.3 ¢ to 1200.0 ¢
14-mosstep	Perfect 14-mosstep	P14ms	6L + 8s	1200.0 ¢

Tuning spectrum

Todo: review Review entries from past page revision and enter them into the scale tree.

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details: Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: {{MOS tuning spectrum | 3/2 = Example comment | 4/3 = Another example comment }} The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

Scale tree and tuning spectrum of 6L 8s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
2\14						171.429	428.571	1:1	1.000	Equalized 6L 8s
					11\76	173.684	426.316	6:5	1.200
				9\62		174.194	425.806	5:4	1.250
					16\110	174.545	425.455	9:7	1.286
			7\48			175.000	425.000	4:3	1.333	Supersoft 6L 8s
					19\130	175.385	424.615	11:8	1.375
				12\82		175.610	424.390	7:5	1.400
					17\116	175.862	424.138	10:7	1.429
		5\34				176.471	423.529	3:2	1.500	Soft 6L 8s
					18\122	177.049	422.951	11:7	1.571
				13\88		177.273	422.727	8:5	1.600
					21\142	177.465	422.535	13:8	1.625
			8\54			177.778	422.222	5:3	1.667	Semisoft 6L 8s
					19\128	178.125	421.875	12:7	1.714
				11\74		178.378	421.622	7:4	1.750
					14\94	178.723	421.277	9:5	1.800
	3\20					180.000	420.000	2:1	2.000	Basic 6L 8s Scales with tunings softer than this are proper
					13\86	181.395	418.605	9:4	2.250
				10\66		181.818	418.182	7:3	2.333
					17\112	182.143	417.857	12:5	2.400
			7\46			182.609	417.391	5:2	2.500	Semihard 6L 8s
					18\118	183.051	416.949	13:5	2.600
				11\72		183.333	416.667	8:3	2.667
					15\98	183.673	416.327	11:4	2.750
		4\26				184.615	415.385	3:1	3.000	Hard 6L 8s
					13\84	185.714	414.286	10:3	3.333
				9\58		186.207	413.793	7:2	3.500
					14\90	186.667	413.333	11:3	3.667
			5\32			187.500	412.500	4:1	4.000	Superhard 6L 8s
					11\70	188.571	411.429	9:2	4.500
				6\38		189.474	410.526	5:1	5.000
					7\44	190.909	409.091	6:1	6.000
1\6						200.000	400.000	1:0	→ ∞	Collapsed 6L 8s

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