9L 18s

↖ 8L 17s	↑ 9L 17s	10L 17s ↗
← 8L 18s	9L 18s	10L 18s →
↙ 8L 19s	↓ 9L 19s	10L 19s ↘

┌╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┐ │║││║││║││║││║││║││║││║││║│││ │││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LssLssLssLssLssLssLssLssLss ssLssLssLssLssLssLssLssLssL
Equave	2/1 (1200.0 ¢)
Period	1\9 (133.3 ¢)
Generator size
Bright	2\27 to 1\9 (88.9 ¢ to 133.3 ¢)
Dark	0\9 to 1\27 (0.0 ¢ to 44.4 ¢)
TAMNAMS information
Related to	9L 9s
With tunings	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	9L 9s
Sister	18L 9s
Daughters	27L 9s, 9L 27s
Neutralized	18L 9s
2-Flought	36L 18s, 9L 45s
Equal tunings
Equalized (L:s = 1:1)	2\27 (88.9 ¢)
Supersoft (L:s = 4:3)	7\90 (93.3 ¢)
Soft (L:s = 3:2)	5\63 (95.2 ¢)
Semisoft (L:s = 5:3)	8\99 (97.0 ¢)
Basic (L:s = 2:1)	3\36 (100.0 ¢)
Semihard (L:s = 5:2)	7\81 (103.7 ¢)
Hard (L:s = 3:1)	4\45 (106.7 ¢)
Superhard (L:s = 4:1)	5\54 (111.1 ¢)
Collapsed (L:s = 1:0)	1\9 (133.3 ¢)

9L 18s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 18 small steps, with a period of 1 large step and 2 small steps that repeats every 133.3 ¢, or 9 times every octave. 9L 18s is a child scale of 9L 9s, expanding it by 9 tones. Generators that produce this scale range from 88.9 ¢ to 133.3 ¢, or from 0 ¢ to 44.4 ¢.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

MOS data is deprecated. Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

Scale tree and tuning spectrum of 9L 18s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
2\27						88.889	44.444	1:1	1.000	Equalized 9L 18s
					11\144	91.667	41.667	6:5	1.200
				9\117		92.308	41.026	5:4	1.250
					16\207	92.754	40.580	9:7	1.286
			7\90			93.333	40.000	4:3	1.333	Supersoft 9L 18s
					19\243	93.827	39.506	11:8	1.375
				12\153		94.118	39.216	7:5	1.400
					17\216	94.444	38.889	10:7	1.429
		5\63				95.238	38.095	3:2	1.500	Soft 9L 18s
					18\225	96.000	37.333	11:7	1.571
				13\162		96.296	37.037	8:5	1.600
					21\261	96.552	36.782	13:8	1.625
			8\99			96.970	36.364	5:3	1.667	Semisoft 9L 18s
					19\234	97.436	35.897	12:7	1.714
				11\135		97.778	35.556	7:4	1.750
					14\171	98.246	35.088	9:5	1.800
	3\36					100.000	33.333	2:1	2.000	Basic 9L 18s Scales with tunings softer than this are proper
					13\153	101.961	31.373	9:4	2.250
				10\117		102.564	30.769	7:3	2.333
					17\198	103.030	30.303	12:5	2.400
			7\81			103.704	29.630	5:2	2.500	Semihard 9L 18s
					18\207	104.348	28.986	13:5	2.600
				11\126		104.762	28.571	8:3	2.667
					15\171	105.263	28.070	11:4	2.750
		4\45				106.667	26.667	3:1	3.000	Hard 9L 18s
					13\144	108.333	25.000	10:3	3.333
				9\99		109.091	24.242	7:2	3.500
					14\153	109.804	23.529	11:3	3.667
			5\54			111.111	22.222	4:1	4.000	Superhard 9L 18s
					11\117	112.821	20.513	9:2	4.500
				6\63		114.286	19.048	5:1	5.000
					7\72	116.667	16.667	6:1	6.000
1\9						133.333	0.000	1:0	→ ∞	Collapsed 9L 18s

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