12L 8s

↖ 11L 7s	↑ 12L 7s	13L 7s ↗
← 11L 8s	12L 8s	13L 8s →
↙ 11L 9s	↓ 12L 9s	13L 9s ↘

Scale structure
Step pattern	LLsLsLLsLsLLsLsLLsLs sLsLLsLsLLsLsLLsLsLL
Equave	2/1 (1200.0 ¢)
Period	1\4 (300.0 ¢)
Generator size
Bright	3\20 to 2\12 (180.0 ¢ to 200.0 ¢)
Dark	1\12 to 2\20 (100.0 ¢ to 120.0 ¢)
TAMNAMS information
Related to	4L 4s (tetrawood)
With tunings	3:2 to 2:1 (hyposoft)
Related MOS scales
Parent	8L 4s
Sister	8L 12s
Daughters	20L 12s, 12L 20s
Neutralized	4L 16s
2-Flought	32L 8s, 12L 28s
Equal tunings
Equalized (L:s = 1:1)	3\20 (180.0 ¢)
Supersoft (L:s = 4:3)	11\72 (183.3 ¢)
Soft (L:s = 3:2)	8\52 (184.6 ¢)
Semisoft (L:s = 5:3)	13\84 (185.7 ¢)
Basic (L:s = 2:1)	5\32 (187.5 ¢)
Semihard (L:s = 5:2)	12\76 (189.5 ¢)
Hard (L:s = 3:1)	7\44 (190.9 ¢)
Superhard (L:s = 4:1)	9\56 (192.9 ¢)
Collapsed (L:s = 1:0)	2\12 (200.0 ¢)
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12L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 8 small steps, with a period of 3 large steps and 2 small steps that repeats every 300.0 ¢, or 4 times every octave. 12L 8s is a grandchild scale of 4L 4s, expanding it by 12 tones. Generators that produce this scale range from 180 ¢ to 200 ¢, or from 100 ¢ to 120 ¢.

Modes

Modes of 12L 8s

UDP	Cyclic order	Step pattern
16|0(4)	1	LLsLsLLsLsLLsLsLLsLs
12|4(4)	4	LsLLsLsLLsLsLLsLsLLs
8|8(4)	2	LsLsLLsLsLLsLsLLsLsL
4|12(4)	5	sLLsLsLLsLsLLsLsLLsL
0|16(4)	3	sLsLLsLsLLsLsLLsLsLL

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 8s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
3\20						180.000	120.000	1:1	1.000	Equalized 12L 8s
					17\112	182.143	117.857	6:5	1.200
				14\92		182.609	117.391	5:4	1.250
					25\164	182.927	117.073	9:7	1.286
			11\72			183.333	116.667	4:3	1.333	Supersoft 12L 8s
					30\196	183.673	116.327	11:8	1.375
				19\124		183.871	116.129	7:5	1.400
					27\176	184.091	115.909	10:7	1.429
		8\52				184.615	115.385	3:2	1.500	Soft 12L 8s
					29\188	185.106	114.894	11:7	1.571
				21\136		185.294	114.706	8:5	1.600
					34\220	185.455	114.545	13:8	1.625
			13\84			185.714	114.286	5:3	1.667	Semisoft 12L 8s
					31\200	186.000	114.000	12:7	1.714
				18\116		186.207	113.793	7:4	1.750
					23\148	186.486	113.514	9:5	1.800
	5\32					187.500	112.500	2:1	2.000	Basic 12L 8s Scales with tunings softer than this are proper
					22\140	188.571	111.429	9:4	2.250
				17\108		188.889	111.111	7:3	2.333
					29\184	189.130	110.870	12:5	2.400
			12\76			189.474	110.526	5:2	2.500	Semihard 12L 8s
					31\196	189.796	110.204	13:5	2.600
				19\120		190.000	110.000	8:3	2.667
					26\164	190.244	109.756	11:4	2.750
		7\44				190.909	109.091	3:1	3.000	Hard 12L 8s
					23\144	191.667	108.333	10:3	3.333
				16\100		192.000	108.000	7:2	3.500
					25\156	192.308	107.692	11:3	3.667
			9\56			192.857	107.143	4:1	4.000	Superhard 12L 8s
					20\124	193.548	106.452	9:2	4.500
				11\68		194.118	105.882	5:1	5.000
					13\80	195.000	105.000	6:1	6.000
2\12						200.000	100.000	1:0	→ ∞	Collapsed 12L 8s