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There are two notable harmonic entropy minima with this MOS pattern. The first is tetracot, in which four generators make a 3/2, and the second is known as roulette7, the seven note albitonic scale for the 2.5.7.11.13 subgroup temperament roulette. (Other temperaments like "luna", "hemithird", and "hemiwürschmidt" have very similar 7-note MOSes.)

The 6L+1s pattern also houses a temperament of the 11th and 13th harmonics, for example L=7 s=4 (46 edo) is such a scale.
Scales of this form are always proper, because there is only one small step.
Generator
Cents
Comments
1\7





171.43






6\41
175.61
Enipucrop is between here and 1\7




5\34

176.47
Tetracot is around here



4\27


177.78



3\20



180







180.815





8\53

181.13







1200/(5+phi)
Unnamed golden temperament (discussed in this thread)



5\33


181.82







182.44





7\46

182.61


2\13




184.62
Optimum rank range glacial (L/s=2/1)



5\32


187.5







188.03





8\51

188.235







188.45
L/s = e


3\19



189.47
L/s = 3






189.92
L/s = pi



4\25


192
L/s = 4




5\31

193.55
Luna/hemithird/roulette is around here
1\6





200