9L 9s

↖ 8L 8s	↑ 9L 8s	10L 8s ↗
← 8L 9s	9L 9s	10L 9s →
↙ 8L 10s	↓ 9L 10s	10L 10s ↘

Scale structure
Step pattern	LsLsLsLsLsLsLsLsLs sLsLsLsLsLsLsLsLsL
Equave	2/1 (1200.0 ¢)
Period	1\9 (133.3 ¢)
Generator size
Bright	1\18 to 1\9 (66.7 ¢ to 133.3 ¢)
Dark	0\9 to 1\18 (0.0 ¢ to 66.7 ¢)
Related MOS scales
Parent	none
Sister	9L 9s (self)
Daughters	18L 9s, 9L 18s
Neutralized	18edo
2-Flought	27L 9s, 9L 27s
Equal tunings
Equalized (L:s = 1:1)	1\18 (66.7 ¢)
Supersoft (L:s = 4:3)	4\63 (76.2 ¢)
Soft (L:s = 3:2)	3\45 (80.0 ¢)
Semisoft (L:s = 5:3)	5\72 (83.3 ¢)
Basic (L:s = 2:1)	2\27 (88.9 ¢)
Semihard (L:s = 5:2)	5\63 (95.2 ¢)
Hard (L:s = 3:1)	3\36 (100.0 ¢)
Superhard (L:s = 4:1)	4\45 (106.7 ¢)
Collapsed (L:s = 1:0)	1\9 (133.3 ¢)
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9L 9s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 9 small steps, with a period of 1 large step and 1 small step that repeats every 133.3 ¢, or 9 times every octave. Generators that produce this scale range from 66.7 ¢ to 133.3 ¢, or from 0 ¢ to 66.7 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

Modes

Modes of 9L 9s

UDP	Cyclic order	Step pattern
9|0(9)	1	LsLsLsLsLsLsLsLsLs
0|9(9)	2	sLsLsLsLsLsLsLsLsL

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 9L 9s

Generator(edo)						Cents		Step ratio		Comments(always proper)
						Bright	Dark	L:s	Hardness
1\18						66.667	66.667	1:1	1.000	Equalized 9L 9s
					6\99	72.727	60.606	6:5	1.200
				5\81		74.074	59.259	5:4	1.250
					9\144	75.000	58.333	9:7	1.286
			4\63			76.190	57.143	4:3	1.333	Supersoft 9L 9s
					11\171	77.193	56.140	11:8	1.375
				7\108		77.778	55.556	7:5	1.400
					10\153	78.431	54.902	10:7	1.429
		3\45				80.000	53.333	3:2	1.500	Soft 9L 9s
					11\162	81.481	51.852	11:7	1.571
				8\117		82.051	51.282	8:5	1.600
					13\189	82.540	50.794	13:8	1.625
			5\72			83.333	50.000	5:3	1.667	Semisoft 9L 9s
					12\171	84.211	49.123	12:7	1.714
				7\99		84.848	48.485	7:4	1.750
					9\126	85.714	47.619	9:5	1.800
	2\27					88.889	44.444	2:1	2.000	Basic 9L 9s
					9\117	92.308	41.026	9:4	2.250
				7\90		93.333	40.000	7:3	2.333
					12\153	94.118	39.216	12:5	2.400
			5\63			95.238	38.095	5:2	2.500	Semihard 9L 9s
					13\162	96.296	37.037	13:5	2.600
				8\99		96.970	36.364	8:3	2.667
					11\135	97.778	35.556	11:4	2.750
		3\36				100.000	33.333	3:1	3.000	Hard 9L 9s
					10\117	102.564	30.769	10:3	3.333
				7\81		103.704	29.630	7:2	3.500
					11\126	104.762	28.571	11:3	3.667
			4\45			106.667	26.667	4:1	4.000	Superhard 9L 9s
					9\99	109.091	24.242	9:2	4.500
				5\54		111.111	22.222	5:1	5.000
					6\63	114.286	19.048	6:1	6.000
1\9						133.333	0.000	1:0	→ ∞	Collapsed 9L 9s

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