2L 6s

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Two notable harmonic entropy minima for this MOS pattern are srutal/pajara and shrutar. They are both improper. As for proper scales, I can't think of any.

In addition to the true MOS form, LsssLsss, these scales also have an interesting near-MOS form, LssLssss, in which the period is the only generic interval represented by more than two specific intervals.

Generator Cents Comments
0\2 0
1\26 46.15
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 L/s = 4
600/(3+pi) L/s = pi
1\12 100 L/s = 3
600/(3+e) L/s = e
3\34 105.88 Srutal/Pajara is around here
8\90 106.67
21\236 106.78
34\382 106.81
13\146 106.85
5\56 107.14
2\22 109.09
1\10 120 Boundary of propriety

(generators larger than this are proper)

600/(3+sqrt(3))
3\28 128.57 Supersharp
8\74 129.73 Supersharp
21\194 129.9
55\508 129.92 Unnamed golden temperament
34\314 129.94
13\120 130
5\46 130.43 Twothirdtonic
600/(3+pi/2)
2\18 133.33 Optimum rank range (L/s=3/2)
3\26 138.46 `
4\34 141.18
5\42 142.86
11\92 143.48
6\50 144
7\58 144.83
8\66 145.455
9\47 145.95
1\8 150