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
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¢)

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

Modes of 2L 4s

UDP	Rotational order	Step pattern
4|0(2)	1	LssLss
2|2(2)	3	sLssLs
0|4(2)	2	ssLssL

Scale tree

Generator											Cents	Comments
0\2											0
									1\24		50
										2\46	52.17	Shrutar is around here
								1\22			54.55
							1\20				60
						1\18					66.67
					1\16						75
				1\14							85.71
					2\26						92.31	Injera is around here
			1\12								100	L/s = 4
				2\22							109.09	Srutal/Pajara is around here
											600/(2+pi)
		1\10									120	L/s = 3
											600/(2+e)
				3/28							128.57
											600/(3+phi)
			2/18								133.33
	1\8										150	Boundary of propriety (generators larger than this are proper)
											600/(2+sqrt(3))
			3\22								163.64	Hedgehog and echidna are both around here
					8\58						165.52
											600/(2+phi)	Golden hedgehog/echidna
						13\94					165.96
				5\36							166.67
											600/(2+pi/2)
		2\14									171.43	Optimum rank range (L/s=3/2)
1\6											200