8L 6s

↖ 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
Descends from	6L 2s (ekic)
Ancestor's step ratio range	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¢)

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¢.

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

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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