9L 9s

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.

↖ 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 ¢)
View • Talk • Edit

Modes

Modes of 9L 9s

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

Intervals

Intervals of 9L 9s

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 66.7 ¢
	Major 1-mosstep	M1ms	L	66.7 ¢ to 133.3 ¢
2-mosstep	Perfect 2-mosstep	P2ms	L + s	133.3 ¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	133.3 ¢ to 200.0 ¢
	Major 3-mosstep	M3ms	2L + s	200.0 ¢ to 266.7 ¢
4-mosstep	Perfect 4-mosstep	P4ms	2L + 2s	266.7 ¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	266.7 ¢ to 333.3 ¢
	Major 5-mosstep	M5ms	3L + 2s	333.3 ¢ to 400.0 ¢
6-mosstep	Perfect 6-mosstep	P6ms	3L + 3s	400.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	3L + 4s	400.0 ¢ to 466.7 ¢
	Major 7-mosstep	M7ms	4L + 3s	466.7 ¢ to 533.3 ¢
8-mosstep	Perfect 8-mosstep	P8ms	4L + 4s	533.3 ¢
9-mosstep	Minor 9-mosstep	m9ms	4L + 5s	533.3 ¢ to 600.0 ¢
	Major 9-mosstep	M9ms	5L + 4s	600.0 ¢ to 666.7 ¢
10-mosstep	Perfect 10-mosstep	P10ms	5L + 5s	666.7 ¢
11-mosstep	Minor 11-mosstep	m11ms	5L + 6s	666.7 ¢ to 733.3 ¢
	Major 11-mosstep	M11ms	6L + 5s	733.3 ¢ to 800.0 ¢
12-mosstep	Perfect 12-mosstep	P12ms	6L + 6s	800.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	6L + 7s	800.0 ¢ to 866.7 ¢
	Major 13-mosstep	M13ms	7L + 6s	866.7 ¢ to 933.3 ¢
14-mosstep	Perfect 14-mosstep	P14ms	7L + 7s	933.3 ¢
15-mosstep	Minor 15-mosstep	m15ms	7L + 8s	933.3 ¢ to 1000.0 ¢
	Major 15-mosstep	M15ms	8L + 7s	1000.0 ¢ to 1066.7 ¢
16-mosstep	Perfect 16-mosstep	P16ms	8L + 8s	1066.7 ¢
17-mosstep	Minor 17-mosstep	m17ms	8L + 9s	1066.7 ¢ to 1133.3 ¢
	Major 17-mosstep	M17ms	9L + 8s	1133.3 ¢ to 1200.0 ¢
18-mosstep	Perfect 18-mosstep	P18ms	9L + 9s	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 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

This page is a stub. You can help the Xenharmonic Wiki by expanding it.