8L 8s

8L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 8 small steps, with a period of 1 large step and 1 small step that repeats every 150.0 ¢, or 8 times every octave. Generators that produce this scale range from 75 ¢ to 150 ¢, or from 0 ¢ to 75 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

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

Scale structure
Step pattern	LsLsLsLsLsLsLsLs sLsLsLsLsLsLsLsL
Equave	2/1 (1200.0 ¢)
Period	1\8 (150.0 ¢)
Generator size
Bright	1\16 to 1\8 (75.0 ¢ to 150.0 ¢)
Dark	0\8 to 1\16 (0.0 ¢ to 75.0 ¢)
Related MOS scales
Parent	none
Sister	8L 8s (self)
Daughters	16L 8s, 8L 16s
Neutralized	16edo
2-Flought	24L 8s, 8L 24s
Equal tunings
Equalized (L:s = 1:1)	1\16 (75.0 ¢)
Supersoft (L:s = 4:3)	4\56 (85.7 ¢)
Soft (L:s = 3:2)	3\40 (90.0 ¢)
Semisoft (L:s = 5:3)	5\64 (93.8 ¢)
Basic (L:s = 2:1)	2\24 (100.0 ¢)
Semihard (L:s = 5:2)	5\56 (107.1 ¢)
Hard (L:s = 3:1)	3\32 (112.5 ¢)
Superhard (L:s = 4:1)	4\40 (120.0 ¢)
Collapsed (L:s = 1:0)	1\8 (150.0 ¢)
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Modes

Modes of 8L 8s

UDP	Cyclic order	Step pattern
8|0(8)	1	LsLsLsLsLsLsLsLs
0|8(8)	2	sLsLsLsLsLsLsLsL

Intervals

Intervals of 8L 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 75.0 ¢
	Major 1-mosstep	M1ms	L	75.0 ¢ to 150.0 ¢
2-mosstep	Perfect 2-mosstep	P2ms	L + s	150.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	150.0 ¢ to 225.0 ¢
	Major 3-mosstep	M3ms	2L + s	225.0 ¢ to 300.0 ¢
4-mosstep	Perfect 4-mosstep	P4ms	2L + 2s	300.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	300.0 ¢ to 375.0 ¢
	Major 5-mosstep	M5ms	3L + 2s	375.0 ¢ to 450.0 ¢
6-mosstep	Perfect 6-mosstep	P6ms	3L + 3s	450.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	3L + 4s	450.0 ¢ to 525.0 ¢
	Major 7-mosstep	M7ms	4L + 3s	525.0 ¢ to 600.0 ¢
8-mosstep	Perfect 8-mosstep	P8ms	4L + 4s	600.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	4L + 5s	600.0 ¢ to 675.0 ¢
	Major 9-mosstep	M9ms	5L + 4s	675.0 ¢ to 750.0 ¢
10-mosstep	Perfect 10-mosstep	P10ms	5L + 5s	750.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	5L + 6s	750.0 ¢ to 825.0 ¢
	Major 11-mosstep	M11ms	6L + 5s	825.0 ¢ to 900.0 ¢
12-mosstep	Perfect 12-mosstep	P12ms	6L + 6s	900.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	6L + 7s	900.0 ¢ to 975.0 ¢
	Major 13-mosstep	M13ms	7L + 6s	975.0 ¢ to 1050.0 ¢
14-mosstep	Perfect 14-mosstep	P14ms	7L + 7s	1050.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	7L + 8s	1050.0 ¢ to 1125.0 ¢
	Major 15-mosstep	M15ms	8L + 7s	1125.0 ¢ to 1200.0 ¢
16-mosstep	Perfect 16-mosstep	P16ms	8L + 8s	1200.0 ¢

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 8L 8s

Generator(edo)						Cents		Step ratio		Comments(always proper)
						Bright	Dark	L:s	Hardness
1\16						75.000	75.000	1:1	1.000	Equalized 8L 8s
					6\88	81.818	68.182	6:5	1.200
				5\72		83.333	66.667	5:4	1.250
					9\128	84.375	65.625	9:7	1.286
			4\56			85.714	64.286	4:3	1.333	Supersoft 8L 8s
					11\152	86.842	63.158	11:8	1.375
				7\96		87.500	62.500	7:5	1.400
					10\136	88.235	61.765	10:7	1.429
		3\40				90.000	60.000	3:2	1.500	Soft 8L 8s
					11\144	91.667	58.333	11:7	1.571
				8\104		92.308	57.692	8:5	1.600
					13\168	92.857	57.143	13:8	1.625
			5\64			93.750	56.250	5:3	1.667	Semisoft 8L 8s
					12\152	94.737	55.263	12:7	1.714
				7\88		95.455	54.545	7:4	1.750
					9\112	96.429	53.571	9:5	1.800
	2\24					100.000	50.000	2:1	2.000	Basic 8L 8s
					9\104	103.846	46.154	9:4	2.250
				7\80		105.000	45.000	7:3	2.333
					12\136	105.882	44.118	12:5	2.400
			5\56			107.143	42.857	5:2	2.500	Semihard 8L 8s
					13\144	108.333	41.667	13:5	2.600
				8\88		109.091	40.909	8:3	2.667
					11\120	110.000	40.000	11:4	2.750
		3\32				112.500	37.500	3:1	3.000	Hard 8L 8s
					10\104	115.385	34.615	10:3	3.333
				7\72		116.667	33.333	7:2	3.500
					11\112	117.857	32.143	11:3	3.667
			4\40			120.000	30.000	4:1	4.000	Superhard 8L 8s
					9\88	122.727	27.273	9:2	4.500
				5\48		125.000	25.000	5:1	5.000
					6\56	128.571	21.429	6:1	6.000
1\8						150.000	0.000	1:0	→ ∞	Collapsed 8L 8s

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