9L 12s

↖ 8L 11s	↑ 9L 11s	10L 11s ↗
← 8L 12s	9L 12s	10L 12s →
↙ 8L 13s	↓ 9L 13s	10L 13s ↘

Scale structure
Step pattern	LsLsLssLsLsLssLsLsLss ssLsLsLssLsLsLssLsLsL
Equave	2/1 (1200.0 ¢)
Period	1\3 (400.0 ¢)
Generator size
Bright	2\21 to 1\9 (114.3 ¢ to 133.3 ¢)
Dark	2\9 to 5\21 (266.7 ¢ to 285.7 ¢)
TAMNAMS information
Related to	3L 6s (tcherepnin)
With tunings	1:1 to 3:2 (soft)
Related MOS scales
Parent	9L 3s
Sister	12L 9s
Daughters	21L 9s, 9L 21s
Neutralized	18L 3s
2-Flought	30L 12s, 9L 33s
Equal tunings
Equalized (L:s = 1:1)	2\21 (114.3 ¢)
Supersoft (L:s = 4:3)	7\72 (116.7 ¢)
Soft (L:s = 3:2)	5\51 (117.6 ¢)
Semisoft (L:s = 5:3)	8\81 (118.5 ¢)
Basic (L:s = 2:1)	3\30 (120.0 ¢)
Semihard (L:s = 5:2)	7\69 (121.7 ¢)
Hard (L:s = 3:1)	4\39 (123.1 ¢)
Superhard (L:s = 4:1)	5\48 (125.0 ¢)
Collapsed (L:s = 1:0)	1\9 (133.3 ¢)
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9L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 12 small steps, with a period of 3 large steps and 4 small steps that repeats every 400.0 ¢, or 3 times every octave. 9L 12s is a grandchild scale of 3L 6s, expanding it by 12 tones. Generators that produce this scale range from 114.3 ¢ to 133.3 ¢, or from 266.7 ¢ to 285.7 ¢.

Modes

Modes of 9L 12s

UDP	Cyclic order	Step pattern
18|0(3)	1	LsLsLssLsLsLssLsLsLss
15|3(3)	3	LsLssLsLsLssLsLsLssLs
12|6(3)	5	LssLsLsLssLsLsLssLsLs
9|9(3)	7	sLsLsLssLsLsLssLsLsLs
6|12(3)	2	sLsLssLsLsLssLsLsLssL
3|15(3)	4	sLssLsLsLssLsLsLssLsL
0|18(3)	6	ssLsLsLssLsLsLssLsLsL

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 12s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
2\21						114.286	285.714	1:1	1.000	Equalized 9L 12s
					11\114	115.789	284.211	6:5	1.200
				9\93		116.129	283.871	5:4	1.250
					16\165	116.364	283.636	9:7	1.286
			7\72			116.667	283.333	4:3	1.333	Supersoft 9L 12s
					19\195	116.923	283.077	11:8	1.375
				12\123		117.073	282.927	7:5	1.400
					17\174	117.241	282.759	10:7	1.429
		5\51				117.647	282.353	3:2	1.500	Soft 9L 12s
					18\183	118.033	281.967	11:7	1.571
				13\132		118.182	281.818	8:5	1.600
					21\213	118.310	281.690	13:8	1.625
			8\81			118.519	281.481	5:3	1.667	Semisoft 9L 12s
					19\192	118.750	281.250	12:7	1.714
				11\111		118.919	281.081	7:4	1.750
					14\141	119.149	280.851	9:5	1.800
	3\30					120.000	280.000	2:1	2.000	Basic 9L 12s Scales with tunings softer than this are proper
					13\129	120.930	279.070	9:4	2.250
				10\99		121.212	278.788	7:3	2.333
					17\168	121.429	278.571	12:5	2.400
			7\69			121.739	278.261	5:2	2.500	Semihard 9L 12s
					18\177	122.034	277.966	13:5	2.600
				11\108		122.222	277.778	8:3	2.667
					15\147	122.449	277.551	11:4	2.750
		4\39				123.077	276.923	3:1	3.000	Hard 9L 12s
					13\126	123.810	276.190	10:3	3.333
				9\87		124.138	275.862	7:2	3.500
					14\135	124.444	275.556	11:3	3.667
			5\48			125.000	275.000	4:1	4.000	Superhard 9L 12s
					11\105	125.714	274.286	9:2	4.500
				6\57		126.316	273.684	5:1	5.000
					7\66	127.273	272.727	6:1	6.000
1\9						133.333	266.667	1:0	→ ∞	Collapsed 9L 12s