2L 4s

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↖1L 3s↑2L 3s 3L 3s↗
←1L 4s2L 4s3L 4s→
↙1L 5s↓2L 5s 3L 5s↘
Brightest mode LssLss
Period 1\2
Range for bright generator 2\6 (400¢) to 1\2 (600¢)
Range for dark generator 0\2 (0¢) to 1\6 (200¢)
TAMNAMS name malic
TAMNAMS prefix mal-
Parent MOS 2L 2s
Sister MOS 4L 2s
Daughter MOSes 6L 2s, 2L 6s
Equal tunings
Supersoft (L:s = 4:3) 7\20 (420¢)
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¢)
Semihard (L:s = 5:2) 7\18 (466.7¢)
Hard (L:s = 3:1) 4\10 (480¢)
Superhard (L:s = 4:1) 5\12 (500¢)

2L 4s, named malic, is an 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¢, or twice every octave. Modes of this scale are rotations of the step pattern LssLss. 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.

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