3L 2s

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The only notable low-harmonic-entropy scale for this MOS pattern is sensi, in which two generators make a 5/3. The harmonic entropy of sensi[5] is still fairly high relative to other pentatonic scales, such as meantone. It's also improper.

Generator Cents s L-s Comments
1\3 400 0 400
8\23 417.39 52.18 365.21 8ed(14/11) is near here
7\20 420 60 300
6\17 423.53 70.59 282.35 Skwares is around here
17\48 425 75 275 Squares is around here
11\31 425.81 77.42 270.97
5\14 428.57 85.71 257.14 L/s = 4
435.01 105.035 224.91 L/s = pi, essentially perfect 9/7
4\11 436.36 109.09 218.18 L/s = 3
439.39 118.17 203.05 L/s = e
11/30 440 120 200
440.59 121.78 197.04
7/19 442.11 126.32 189.47 Sensi is around here
3\8 450 150 150 Boundary of propriety (larger

generators than this are proper)

455.59 166.76 122.07
8\21 457.14 171.43 114.29
21\55 458.18 174.55 109.09
1200/(1+phi) 175.08 108.20 Golden father
13\34 458.82 176.47 105.88
459.59 178.77 102.04
5\13 461.54 184.62 92.31 Optimum rank range (L/s=3/2) father
7\18 466.67 200 66.67
9\23 469.57 208.70 52.17
11\28 471.43 214.29 42.86
13\33 472.73 218.18 36.36 Slendro-like scales in this region
2\5 480 240 0