12L 9s

↖ 11L 8s ↑ 12L 8s 13L 8s ↗

← 11L 9s 12L 9s 13L 9s →

↙ 11L 10s ↓ 12L 10s 13L 10s ↘
	Scale structure
Step pattern	LLsLsLsLLsLsLsLLsLsLs; sLsLsLLsLsLsLLsLsLsLL
Equave	2/1 (1200.0 ¢)
Period	1\3 (400.0 ¢)
	Generator size
Bright	5\21 to 3\12 (285.7 ¢ to 300.0 ¢)
Dark	1\12 to 2\21 (100.0 ¢ to 114.3 ¢)
	TAMNAMS information
Related to	3L 6s (tcherepnin)
With tunings	3:2 to 2:1 (hyposoft)
	Related MOS scales
Parent	9L 3s
Sister	9L 12s
Daughters	21L 12s, 12L 21s
Neutralized	3L 18s
2-Flought	33L 9s, 12L 30s
	Equal tunings
Equalized (L:s = 1:1)	5\21 (285.7 ¢)
Supersoft (L:s = 4:3)	18\75 (288.0 ¢)
Soft (L:s = 3:2)	13\54 (288.9 ¢)
Semisoft (L:s = 5:3)	21\87 (289.7 ¢)
Basic (L:s = 2:1)	8\33 (290.9 ¢)
Semihard (L:s = 5:2)	19\78 (292.3 ¢)
Hard (L:s = 3:1)	11\45 (293.3 ¢)
Superhard (L:s = 4:1)	14\57 (294.7 ¢)
Collapsed (L:s = 1:0)	3\12 (300.0 ¢)
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12L 9s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 9 small steps, with a period of 4 large steps and 3 small steps that repeats every 400.0 ¢, or 3 times every octave. 12L 9s is a grandchild scale of 3L 6s, expanding it by 12 tones. Generators that produce this scale range from 285.7 ¢ to 300 ¢, or from 100 ¢ to 114.3 ¢.

Modes

Modes of 12L 9s
UDP	Cyclic order	Step pattern
18\|0(3)	1	LLsLsLsLLsLsLsLLsLsLs
15\|3(3)	6	LsLLsLsLsLLsLsLsLLsLs
12\|6(3)	4	LsLsLLsLsLsLLsLsLsLLs
9\|9(3)	2	LsLsLsLLsLsLsLLsLsLsL
6\|12(3)	7	sLLsLsLsLLsLsLsLLsLsL
3\|15(3)	5	sLsLLsLsLsLLsLsLsLLsL
0\|18(3)	3	sLsLsLLsLsLsLLsLsLsLL

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 12L 9s
Generator^(edo)						Cents		Step ratio		Comments
Generator^(edo)						Bright	Dark	L:s	Hardness	Comments
5\21						285.714	114.286	1:1	1.000	Equalized 12L 9s
					28\117	287.179	112.821	6:5	1.200
				23\96		287.500	112.500	5:4	1.250
					41\171	287.719	112.281	9:7	1.286
			18\75			288.000	112.000	4:3	1.333	Supersoft 12L 9s
					49\204	288.235	111.765	11:8	1.375
				31\129		288.372	111.628	7:5	1.400
					44\183	288.525	111.475	10:7	1.429
		13\54				288.889	111.111	3:2	1.500	Soft 12L 9s
					47\195	289.231	110.769	11:7	1.571
				34\141		289.362	110.638	8:5	1.600
					55\228	289.474	110.526	13:8	1.625
			21\87			289.655	110.345	5:3	1.667	Semisoft 12L 9s
					50\207	289.855	110.145	12:7	1.714
				29\120		290.000	110.000	7:4	1.750
					37\153	290.196	109.804	9:5	1.800
	8\33					290.909	109.091	2:1	2.000	Basic 12L 9s Scales with tunings softer than this are proper
					35\144	291.667	108.333	9:4	2.250
				27\111		291.892	108.108	7:3	2.333
					46\189	292.063	107.937	12:5	2.400
			19\78			292.308	107.692	5:2	2.500	Semihard 12L 9s
					49\201	292.537	107.463	13:5	2.600
				30\123		292.683	107.317	8:3	2.667
					41\168	292.857	107.143	11:4	2.750
		11\45				293.333	106.667	3:1	3.000	Hard 12L 9s
					36\147	293.878	106.122	10:3	3.333
				25\102		294.118	105.882	7:2	3.500
					39\159	294.340	105.660	11:3	3.667
			14\57			294.737	105.263	4:1	4.000	Superhard 12L 9s
					31\126	295.238	104.762	9:2	4.500
				17\69		295.652	104.348	5:1	5.000
					20\81	296.296	103.704	6:1	6.000
3\12						300.000	100.000	1:0	→ ∞	Collapsed 12L 9s