8L 6s

8L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 6 small steps, with a period of 4 large steps and 3 small steps that repeats every 600.0 ¢, or twice every octave. 8L 6s is a child scale of 6L 2s, expanding it by 6 tones. Generators that produce this scale range from 428.6 ¢ to 450 ¢, or from 150 ¢ to 171.4 ¢.

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

Scale structure
Step pattern	LLsLsLsLLsLsLs sLsLsLLsLsLsLL
Equave	2/1 (1200.0 ¢)
Period	1\2 (600.0 ¢)
Generator size
Bright	5\14 to 3\8 (428.6 ¢ to 450.0 ¢)
Dark	1\8 to 2\14 (150.0 ¢ to 171.4 ¢)
TAMNAMS information
Related to	6L 2s (ekic)
With tunings	1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent	6L 2s
Sister	6L 8s
Daughters	14L 8s, 8L 14s
Neutralized	2L 12s
2-Flought	22L 6s, 8L 20s
Equal tunings
Equalized (L:s = 1:1)	5\14 (428.6 ¢)
Supersoft (L:s = 4:3)	18\50 (432.0 ¢)
Soft (L:s = 3:2)	13\36 (433.3 ¢)
Semisoft (L:s = 5:3)	21\58 (434.5 ¢)
Basic (L:s = 2:1)	8\22 (436.4 ¢)
Semihard (L:s = 5:2)	19\52 (438.5 ¢)
Hard (L:s = 3:1)	11\30 (440.0 ¢)
Superhard (L:s = 4:1)	14\38 (442.1 ¢)
Collapsed (L:s = 1:0)	3\8 (450.0 ¢)
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Modes

Modes of 8L 6s

UDP	Cyclic order	Step pattern
12|0(2)	1	LLsLsLsLLsLsLs
10|2(2)	6	LsLLsLsLsLLsLs
8|4(2)	4	LsLsLLsLsLsLLs
6|6(2)	2	LsLsLsLLsLsLsL
4|8(2)	7	sLLsLsLsLLsLsL
2|10(2)	5	sLsLLsLsLsLLsL
0|12(2)	3	sLsLsLLsLsLsLL

Intervals

Intervals of 8L 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 85.7 ¢
	Major 1-mosstep	M1ms	L	85.7 ¢ to 150.0 ¢
2-mosstep	Perfect 2-mosstep	P2ms	L + s	150.0 ¢ to 171.4 ¢
	Augmented 2-mosstep	A2ms	2L	171.4 ¢ to 300.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	150.0 ¢ to 257.1 ¢
	Major 3-mosstep	M3ms	2L + s	257.1 ¢ to 300.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	300.0 ¢ to 342.9 ¢
	Major 4-mosstep	M4ms	3L + s	342.9 ¢ to 450.0 ¢
5-mosstep	Diminished 5-mosstep	d5ms	2L + 3s	300.0 ¢ to 428.6 ¢
	Perfect 5-mosstep	P5ms	3L + 2s	428.6 ¢ to 450.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	3L + 3s	450.0 ¢ to 514.3 ¢
	Major 6-mosstep	M6ms	4L + 2s	514.3 ¢ to 600.0 ¢
7-mosstep	Perfect 7-mosstep	P7ms	4L + 3s	600.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	4L + 4s	600.0 ¢ to 685.7 ¢
	Major 8-mosstep	M8ms	5L + 3s	685.7 ¢ to 750.0 ¢
9-mosstep	Perfect 9-mosstep	P9ms	5L + 4s	750.0 ¢ to 771.4 ¢
	Augmented 9-mosstep	A9ms	6L + 3s	771.4 ¢ to 900.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	5L + 5s	750.0 ¢ to 857.1 ¢
	Major 10-mosstep	M10ms	6L + 4s	857.1 ¢ to 900.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	6L + 5s	900.0 ¢ to 942.9 ¢
	Major 11-mosstep	M11ms	7L + 4s	942.9 ¢ to 1050.0 ¢
12-mosstep	Diminished 12-mosstep	d12ms	6L + 6s	900.0 ¢ to 1028.6 ¢
	Perfect 12-mosstep	P12ms	7L + 5s	1028.6 ¢ to 1050.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	7L + 6s	1050.0 ¢ to 1114.3 ¢
	Major 13-mosstep	M13ms	8L + 5s	1114.3 ¢ to 1200.0 ¢
14-mosstep	Perfect 14-mosstep	P14ms	8L + 6s	1200.0 ¢

Tuning spectrum

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

Hedgehog range

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 8L 6s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
5\14						428.571	171.429	1:1	1.000	Equalized 8L 6s
					28\78	430.769	169.231	6:5	1.200
				23\64		431.250	168.750	5:4	1.250
					41\114	431.579	168.421	9:7	1.286
			18\50			432.000	168.000	4:3	1.333	Supersoft 8L 6s
					49\136	432.353	167.647	11:8	1.375
				31\86		432.558	167.442	7:5	1.400
					44\122	432.787	167.213	10:7	1.429
		13\36				433.333	166.667	3:2	1.500	Soft 8L 6s
					47\130	433.846	166.154	11:7	1.571
				34\94		434.043	165.957	8:5	1.600
					55\152	434.211	165.789	13:8	1.625
			21\58			434.483	165.517	5:3	1.667	Semisoft 8L 6s
					50\138	434.783	165.217	12:7	1.714
				29\80		435.000	165.000	7:4	1.750
					37\102	435.294	164.706	9:5	1.800
	8\22					436.364	163.636	2:1	2.000	Basic 8L 6s Scales with tunings softer than this are proper
					35\96	437.500	162.500	9:4	2.250
				27\74		437.838	162.162	7:3	2.333
					46\126	438.095	161.905	12:5	2.400
			19\52			438.462	161.538	5:2	2.500	Semihard 8L 6s
					49\134	438.806	161.194	13:5	2.600
				30\82		439.024	160.976	8:3	2.667
					41\112	439.286	160.714	11:4	2.750
		11\30				440.000	160.000	3:1	3.000	Hard 8L 6s
					36\98	440.816	159.184	10:3	3.333
				25\68		441.176	158.824	7:2	3.500
					39\106	441.509	158.491	11:3	3.667
			14\38			442.105	157.895	4:1	4.000	Superhard 8L 6s
					31\84	442.857	157.143	9:2	4.500
				17\46		443.478	156.522	5:1	5.000
					20\54	444.444	155.556	6:1	6.000
3\8						450.000	150.000	1:0	→ ∞	Collapsed 8L 6s

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