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There is one notable low-harmonic-entropy scale with this MOS pattern: Porcupine, in which two generators make a 6/5 and three make a 4/3.

Other scales include very improper (incomplete) versions of negri, 12edo, etc.
Generator
Cents
Comments
0\1




0




1\10

120
L/s = 4




2\19
126.32
Negri is around here





1200/(6+pi)



1\9


133.33
L/s = 3





1200/(6+e)





3\26
138.46






1200/(7+phi)




2\17

141,18


1\8



150
Boundary of propriety (generators
larger than this are proper)





1200/(6+sqrt(3))




3\23

156.52






1200/(6+phi)
Golden porcupine / golden hemikleismic




5\38
157.89






1200/(6+pi/2)



2\15


160
Optimum rank range (L/s=3/2) porcupine



3\22

163.64
Porcupine is around here
1\7




171.43