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
Descends from	9L 9s
Ancestor's step ratio range	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¢.

Modes

Modes of 9L 18s

UDP	Cyclic order	Step pattern
18|0(9)	1	LssLssLssLssLssLssLssLssLss
9|9(9)	3	sLssLssLssLssLssLssLssLssLs
0|18(9)	2	ssLssLssLssLssLssLssLssLssL

Intervals

Intervals of 9L 18s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0¢
1-mosstep	Perfect 1-mosstep	P1ms	s	0.0¢ to 44.4¢
	Augmented 1-mosstep	A1ms	L	44.4¢ to 133.3¢
2-mosstep	Diminished 2-mosstep	d2ms	2s	0.0¢ to 88.9¢
	Perfect 2-mosstep	P2ms	L + s	88.9¢ to 133.3¢
3-mosstep	Perfect 3-mosstep	P3ms	L + 2s	133.3¢
4-mosstep	Perfect 4-mosstep	P4ms	L + 3s	133.3¢ to 177.8¢
	Augmented 4-mosstep	A4ms	2L + 2s	177.8¢ to 266.7¢
5-mosstep	Diminished 5-mosstep	d5ms	L + 4s	133.3¢ to 222.2¢
	Perfect 5-mosstep	P5ms	2L + 3s	222.2¢ to 266.7¢
6-mosstep	Perfect 6-mosstep	P6ms	2L + 4s	266.7¢
7-mosstep	Perfect 7-mosstep	P7ms	2L + 5s	266.7¢ to 311.1¢
	Augmented 7-mosstep	A7ms	3L + 4s	311.1¢ to 400.0¢
8-mosstep	Diminished 8-mosstep	d8ms	2L + 6s	266.7¢ to 355.6¢
	Perfect 8-mosstep	P8ms	3L + 5s	355.6¢ to 400.0¢
9-mosstep	Perfect 9-mosstep	P9ms	3L + 6s	400.0¢
10-mosstep	Perfect 10-mosstep	P10ms	3L + 7s	400.0¢ to 444.4¢
	Augmented 10-mosstep	A10ms	4L + 6s	444.4¢ to 533.3¢
11-mosstep	Diminished 11-mosstep	d11ms	3L + 8s	400.0¢ to 488.9¢
	Perfect 11-mosstep	P11ms	4L + 7s	488.9¢ to 533.3¢
12-mosstep	Perfect 12-mosstep	P12ms	4L + 8s	533.3¢
13-mosstep	Perfect 13-mosstep	P13ms	4L + 9s	533.3¢ to 577.8¢
	Augmented 13-mosstep	A13ms	5L + 8s	577.8¢ to 666.7¢
14-mosstep	Diminished 14-mosstep	d14ms	4L + 10s	533.3¢ to 622.2¢
	Perfect 14-mosstep	P14ms	5L + 9s	622.2¢ to 666.7¢
15-mosstep	Perfect 15-mosstep	P15ms	5L + 10s	666.7¢
16-mosstep	Perfect 16-mosstep	P16ms	5L + 11s	666.7¢ to 711.1¢
	Augmented 16-mosstep	A16ms	6L + 10s	711.1¢ to 800.0¢
17-mosstep	Diminished 17-mosstep	d17ms	5L + 12s	666.7¢ to 755.6¢
	Perfect 17-mosstep	P17ms	6L + 11s	755.6¢ to 800.0¢
18-mosstep	Perfect 18-mosstep	P18ms	6L + 12s	800.0¢
19-mosstep	Perfect 19-mosstep	P19ms	6L + 13s	800.0¢ to 844.4¢
	Augmented 19-mosstep	A19ms	7L + 12s	844.4¢ to 933.3¢
20-mosstep	Diminished 20-mosstep	d20ms	6L + 14s	800.0¢ to 888.9¢
	Perfect 20-mosstep	P20ms	7L + 13s	888.9¢ to 933.3¢
21-mosstep	Perfect 21-mosstep	P21ms	7L + 14s	933.3¢
22-mosstep	Perfect 22-mosstep	P22ms	7L + 15s	933.3¢ to 977.8¢
	Augmented 22-mosstep	A22ms	8L + 14s	977.8¢ to 1066.7¢
23-mosstep	Diminished 23-mosstep	d23ms	7L + 16s	933.3¢ to 1022.2¢
	Perfect 23-mosstep	P23ms	8L + 15s	1022.2¢ to 1066.7¢
24-mosstep	Perfect 24-mosstep	P24ms	8L + 16s	1066.7¢
25-mosstep	Perfect 25-mosstep	P25ms	8L + 17s	1066.7¢ to 1111.1¢
	Augmented 25-mosstep	A25ms	9L + 16s	1111.1¢ to 1200.0¢
26-mosstep	Diminished 26-mosstep	d26ms	8L + 18s	1066.7¢ to 1155.6¢
	Perfect 26-mosstep	P26ms	9L + 17s	1155.6¢ to 1200.0¢
27-mosstep	Perfect 27-mosstep	P27ms	9L + 18s	1200.0¢

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

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