12L 4s

↖ 11L 3s	↑ 12L 3s	13L 3s ↗
← 11L 4s	12L 4s	13L 4s →
↙ 11L 5s	↓ 12L 5s	13L 5s ↘

Scale structure
Step pattern	LLLsLLLsLLLsLLLs sLLLsLLLsLLLsLLL
Equave	2/1 (1200.0 ¢)
Period	1\4 (300.0 ¢)
Generator size
Bright	1\16 to 1\12 (75.0 ¢ to 100.0 ¢)
Dark	2\12 to 3\16 (200.0 ¢ to 225.0 ¢)
TAMNAMS information
Related to	4L 4s (tetrawood)
With tunings	2:1 to 3:1 (hypohard)
Related MOS scales
Parent	4L 8s
Sister	4L 12s
Daughters	16L 12s, 12L 16s
Neutralized	8L 8s
2-Flought	28L 4s, 12L 20s
Equal tunings
Equalized (L:s = 1:1)	1\16 (75.0 ¢)
Supersoft (L:s = 4:3)	4\60 (80.0 ¢)
Soft (L:s = 3:2)	3\44 (81.8 ¢)
Semisoft (L:s = 5:3)	5\72 (83.3 ¢)
Basic (L:s = 2:1)	2\28 (85.7 ¢)
Semihard (L:s = 5:2)	5\68 (88.2 ¢)
Hard (L:s = 3:1)	3\40 (90.0 ¢)
Superhard (L:s = 4:1)	4\52 (92.3 ¢)
Collapsed (L:s = 1:0)	1\12 (100.0 ¢)
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12L 4s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 4 small steps, with a period of 3 large steps and 1 small step that repeats every 300.0 ¢, or 4 times every octave. 12L 4s is a grandchild scale of 4L 4s, expanding it by 8 tones. Generators that produce this scale range from 75 ¢ to 100 ¢, or from 200 ¢ to 225 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

Modes

Modes of 12L 4s

UDP	Cyclic order	Step pattern
12|0(4)	1	LLLsLLLsLLLsLLLs
8|4(4)	2	LLsLLLsLLLsLLLsL
4|8(4)	3	LsLLLsLLLsLLLsLL
0|12(4)	4	sLLLsLLLsLLLsLLL

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 4s

Generator(edo)						Cents		Step ratio		Comments(always proper)
						Bright	Dark	L:s	Hardness
1\16						75.000	225.000	1:1	1.000	Equalized 12L 4s
					6\92	78.261	221.739	6:5	1.200
				5\76		78.947	221.053	5:4	1.250
					9\136	79.412	220.588	9:7	1.286
			4\60			80.000	220.000	4:3	1.333	Supersoft 12L 4s
					11\164	80.488	219.512	11:8	1.375
				7\104		80.769	219.231	7:5	1.400
					10\148	81.081	218.919	10:7	1.429
		3\44				81.818	218.182	3:2	1.500	Soft 12L 4s
					11\160	82.500	217.500	11:7	1.571
				8\116		82.759	217.241	8:5	1.600
					13\188	82.979	217.021	13:8	1.625
			5\72			83.333	216.667	5:3	1.667	Semisoft 12L 4s
					12\172	83.721	216.279	12:7	1.714
				7\100		84.000	216.000	7:4	1.750
					9\128	84.375	215.625	9:5	1.800
	2\28					85.714	214.286	2:1	2.000	Basic 12L 4s
					9\124	87.097	212.903	9:4	2.250
				7\96		87.500	212.500	7:3	2.333
					12\164	87.805	212.195	12:5	2.400
			5\68			88.235	211.765	5:2	2.500	Semihard 12L 4s
					13\176	88.636	211.364	13:5	2.600
				8\108		88.889	211.111	8:3	2.667
					11\148	89.189	210.811	11:4	2.750
		3\40				90.000	210.000	3:1	3.000	Hard 12L 4s
					10\132	90.909	209.091	10:3	3.333
				7\92		91.304	208.696	7:2	3.500
					11\144	91.667	208.333	11:3	3.667
			4\52			92.308	207.692	4:1	4.000	Superhard 12L 4s
					9\116	93.103	206.897	9:2	4.500
				5\64		93.750	206.250	5:1	5.000
					6\76	94.737	205.263	6:1	6.000
1\12						100.000	200.000	1:0	→ ∞	Collapsed 12L 4s