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.
|2\46||52.17||Shrutar is around here|
|2\26||92.31||Injera is around here|
|1\12||100||L/s = 4|
|2\22||109.09||Srutal/Pajara is around here|
|1\10||120||L/s = 3|
|1\8||150||Boundary of propriety (generators
larger than this are proper)
|3\22||163.64||Hedgehog and echidna are both around here|
|2\14||171.43||Optimum rank range (L/s=3/2)|