There is only one significant (though small) harmonic entropy minimum with this MOS pattern: hedgehog, in which two generators are 6/5 and three are 4/3, same as porcupine.
In addition to the true MOS, LLLsLLLs, there is also a near-MOS, LLLLsLLs, in which the period is the only interval with more than two flavors. The true MOS is always proper, because there is only one small step per period, but the near-MOS is only proper if the generator is smaller than 2\14 (which includes hedgehog).
|3\22||163.64||Hedgehog is around here|
|2\14||171.43||Boundary of propriety for near-MOS
Optimum rank range (L/s=2/1) for MOS
|178.15||L/s = e|
|3\20||180||L/s = 3|
|180.815||L/s = pi|
|4\26||184.615||L/s = 4|