2L 4s

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2L 4s
Brightest mode LssLss
Period 1\2
Range for bright generator 0\2 (0.0¢) to 1\6 (200.0¢)
Parent MOS 2L 2s
Daughter MOSes 6L 2s, 2L 6s
Sister MOS 4L 2s
TAMNAMS name antilime
Equal tunings
Supersoft (L:s = 4:3) 3\20 (180.0¢)
Soft (L:s = 3:2) 2\14 (171.4¢)
Semisoft (L:s = 5:3) 3\22 (163.6¢)
Basic (L:s = 2:1) 1\8 (150.0¢)
Semihard (L:s = 5:2) 2\18 (133.3¢)
Hard (L:s = 3:1) 1\10 (120.0¢)
Superhard (L:s = 4:1) 1\12 (100.0¢)

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