2L 4s

↖ 1L 3s	↑ 2L 3s	3L 3s ↗
← 1L 4s	2L 4s	3L 4s →
↙ 1L 5s	↓ 2L 5s	3L 5s ↘

Scale structure
Step pattern	LssLss ssLssL
Equave	2/1 (1200.0 ¢)
Period	1\2 (600.0 ¢)
Generator size
Bright	2\6 to 1\2 (400.0 ¢ to 600.0 ¢)
Dark	0\2 to 1\6 (0.0 ¢ to 200.0 ¢)
TAMNAMS information
Name	malic
Prefix	mal-
Abbrev.	mal
Related MOS scales
Parent	2L 2s
Sister	4L 2s
Daughters	6L 2s, 2L 6s
Neutralized	4L 2s
2-Flought	8L 4s, 2L 10s
Equal tunings
Equalized (L:s = 1:1)	2\6 (400.0 ¢)
Supersoft (L:s = 4:3)	7\20 (420.0 ¢)
Soft (L:s = 3:2)	5\14 (428.6 ¢)
Semisoft (L:s = 5:3)	8\22 (436.4 ¢)
Basic (L:s = 2:1)	3\8 (450.0 ¢)
Semihard (L:s = 5:2)	7\18 (466.7 ¢)
Hard (L:s = 3:1)	4\10 (480.0 ¢)
Superhard (L:s = 4:1)	5\12 (500.0 ¢)
Collapsed (L:s = 1:0)	1\2 (600.0 ¢)
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2L 4s, named malic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 4 small steps, with a period of 1 large step and 2 small steps that repeats every 600.0 ¢, or twice every octave. Generators that produce this scale range from 400 ¢ to 600 ¢, or from 0 ¢ to 200 ¢.

The only scale with this MOS pattern that's a really significant minimum of harmonic entropy is srutal/pajara, in which the period plus the generator is 3/2. Other scales include shrutar, in which the generator is half of that (about a quartertone), so 3/2 is a period plus two generators; and hedgehog, in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).

In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.

Srutal/pajara probably has the lowest harmonic entropy of all 6-note MOS scales. The near-MOS version has even lower harmonic entropy.

Modes

Scale degrees of the modes of 2L 4s

UDP	Cyclic order	Step pattern	Scale degree (maldegree)
			0	1	2	3	4	5	6
4|0(2)	1	LssLss	Perf.	Aug.	Perf.	Perf.	Aug.	Perf.	Perf.
2|2(2)	3	sLssLs	Perf.	Perf.	Perf.	Perf.	Perf.	Perf.	Perf.
0|4(2)	2	ssLssL	Perf.	Perf.	Dim.	Perf.	Perf.	Dim.	Perf.

Intervals

Intervals of 2L 4s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-malstep	Perfect 0-malstep	P0mals	0	0.0 ¢
1-malstep	Perfect 1-malstep	P1mals	s	0.0 ¢ to 200.0 ¢
	Augmented 1-malstep	A1mals	L	200.0 ¢ to 600.0 ¢
2-malstep	Diminished 2-malstep	d2mals	2s	0.0 ¢ to 400.0 ¢
	Perfect 2-malstep	P2mals	L + s	400.0 ¢ to 600.0 ¢
3-malstep	Perfect 3-malstep	P3mals	L + 2s	600.0 ¢
4-malstep	Perfect 4-malstep	P4mals	L + 3s	600.0 ¢ to 800.0 ¢
	Augmented 4-malstep	A4mals	2L + 2s	800.0 ¢ to 1200.0 ¢
5-malstep	Diminished 5-malstep	d5mals	L + 4s	600.0 ¢ to 1000.0 ¢
	Perfect 5-malstep	P5mals	2L + 3s	1000.0 ¢ to 1200.0 ¢
6-malstep	Perfect 6-malstep	P6mals	2L + 4s	1200.0 ¢

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 2L 4s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
2\6						400.000	200.000	1:1	1.000	Equalized 2L 4s
					11\32	412.500	187.500	6:5	1.200
				9\26		415.385	184.615	5:4	1.250
					16\46	417.391	182.609	9:7	1.286
			7\20			420.000	180.000	4:3	1.333	Supersoft 2L 4s
					19\54	422.222	177.778	11:8	1.375
				12\34		423.529	176.471	7:5	1.400
					17\48	425.000	175.000	10:7	1.429
		5\14				428.571	171.429	3:2	1.500	Soft 2L 4s
					18\50	432.000	168.000	11:7	1.571
				13\36		433.333	166.667	8:5	1.600
					21\58	434.483	165.517	13:8	1.625
			8\22			436.364	163.636	5:3	1.667	Semisoft 2L 4s
					19\52	438.462	161.538	12:7	1.714
				11\30		440.000	160.000	7:4	1.750
					14\38	442.105	157.895	9:5	1.800
	3\8					450.000	150.000	2:1	2.000	Basic 2L 4s Scales with tunings softer than this are proper
					13\34	458.824	141.176	9:4	2.250
				10\26		461.538	138.462	7:3	2.333
					17\44	463.636	136.364	12:5	2.400
			7\18			466.667	133.333	5:2	2.500	Semihard 2L 4s
					18\46	469.565	130.435	13:5	2.600
				11\28		471.429	128.571	8:3	2.667
					15\38	473.684	126.316	11:4	2.750
		4\10				480.000	120.000	3:1	3.000	Hard 2L 4s
					13\32	487.500	112.500	10:3	3.333
				9\22		490.909	109.091	7:2	3.500
					14\34	494.118	105.882	11:3	3.667
			5\12			500.000	100.000	4:1	4.000	Superhard 2L 4s
					11\26	507.692	92.308	9:2	4.500
				6\14		514.286	85.714	5:1	5.000
					7\16	525.000	75.000	6:1	6.000
1\2						600.000	0.000	1:0	→ ∞	Collapsed 2L 4s