editing disabled

The scale with the lowest harmonic entropy for this MOS pattern is semaphore, in which two generators make a 4/3. The other interesting scale is orwell, in which the generator is approximately 7/6 and three of them make an 8/5.

All scales of this form are necessarily proper (because there is only one small step).
Generator
Cents
s
L-s
Comments
1\5





240
240
0





5\24

250
200
50
Semaphore is around here



4\19


252.63
189.47
63.16



3\14



257.14
171.43
85.71







258.81
164.76
92.05





8\37

259.46
162.16
97.3







1200/(3+phi)
160.6
99.25
Golden bug / golden superpelog



5\23


260.87
156.52
104.35







262.16
151.36
110.8


2\9




266.67
133.33
133.33
Optimum rank range (L/s=2/1) bug




7\31

270.97
116.13
154.84






12\53
271.70
113.21
158.49
Orwell is around here



5\22


272.73
109.09
163.64







274.73
101.07
173.66
L/s = e


3\13



276.92
92.31
184.62
L/s = 3






277.89
88.45
189.43
L/s = pi



4\17


282.35
70.59
211.76
L/s = 4
1\4





300
0
300