8L 12s

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

Scale structure
Step pattern	LsLssLsLssLsLssLsLss ssLsLssLsLssLsLssLsL
Equave	2/1 (1200.0 ¢)
Period	1\4 (300.0 ¢)
Generator size
Bright	2\20 to 1\8 (120.0 ¢ to 150.0 ¢)
Dark	1\8 to 3\20 (150.0 ¢ to 180.0 ¢)
TAMNAMS information
Related to	4L 4s (tetrawood)
With tunings	1:1 to 3:2 (soft)
Related MOS scales
Parent	8L 4s
Sister	12L 8s
Daughters	20L 8s, 8L 20s
Neutralized	16L 4s
2-Flought	28L 12s, 8L 32s
Equal tunings
Equalized (L:s = 1:1)	2\20 (120.0 ¢)
Supersoft (L:s = 4:3)	7\68 (123.5 ¢)
Soft (L:s = 3:2)	5\48 (125.0 ¢)
Semisoft (L:s = 5:3)	8\76 (126.3 ¢)
Basic (L:s = 2:1)	3\28 (128.6 ¢)
Semihard (L:s = 5:2)	7\64 (131.2 ¢)
Hard (L:s = 3:1)	4\36 (133.3 ¢)
Superhard (L:s = 4:1)	5\44 (136.4 ¢)
Collapsed (L:s = 1:0)	1\8 (150.0 ¢)
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8L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 12 small steps, with a period of 2 large steps and 3 small steps that repeats every 300.0 ¢, or 4 times every octave. 8L 12s is a grandchild scale of 4L 4s, expanding it by 12 tones. Generators that produce this scale range from 120 ¢ to 150 ¢, or from 150 ¢ to 180 ¢.

Modes

Modes of 8L 12s

UDP	Cyclic order	Step pattern
16|0(4)	1	LsLssLsLssLsLssLsLss
12|4(4)	3	LssLsLssLsLssLsLssLs
8|8(4)	5	sLsLssLsLssLsLssLsLs
4|12(4)	2	sLssLsLssLsLssLsLssL
0|16(4)	4	ssLsLssLsLssLsLssLsL

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 8L 12s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
2\20						120.000	180.000	1:1	1.000	Equalized 8L 12s
					11\108	122.222	177.778	6:5	1.200
				9\88		122.727	177.273	5:4	1.250
					16\156	123.077	176.923	9:7	1.286
			7\68			123.529	176.471	4:3	1.333	Supersoft 8L 12s
					19\184	123.913	176.087	11:8	1.375
				12\116		124.138	175.862	7:5	1.400
					17\164	124.390	175.610	10:7	1.429
		5\48				125.000	175.000	3:2	1.500	Soft 8L 12s
					18\172	125.581	174.419	11:7	1.571
				13\124		125.806	174.194	8:5	1.600
					21\200	126.000	174.000	13:8	1.625
			8\76			126.316	173.684	5:3	1.667	Semisoft 8L 12s
					19\180	126.667	173.333	12:7	1.714
				11\104		126.923	173.077	7:4	1.750
					14\132	127.273	172.727	9:5	1.800
	3\28					128.571	171.429	2:1	2.000	Basic 8L 12s Scales with tunings softer than this are proper
					13\120	130.000	170.000	9:4	2.250
				10\92		130.435	169.565	7:3	2.333
					17\156	130.769	169.231	12:5	2.400
			7\64			131.250	168.750	5:2	2.500	Semihard 8L 12s
					18\164	131.707	168.293	13:5	2.600
				11\100		132.000	168.000	8:3	2.667
					15\136	132.353	167.647	11:4	2.750
		4\36				133.333	166.667	3:1	3.000	Hard 8L 12s
					13\116	134.483	165.517	10:3	3.333
				9\80		135.000	165.000	7:2	3.500
					14\124	135.484	164.516	11:3	3.667
			5\44			136.364	163.636	4:1	4.000	Superhard 8L 12s
					11\96	137.500	162.500	9:2	4.500
				6\52		138.462	161.538	5:1	5.000
					7\60	140.000	160.000	6:1	6.000
1\8						150.000	150.000	1:0	→ ∞	Collapsed 8L 12s