2L 4s
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.
Generator | Cents | Comments | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
0\2 | 0 | |||||||||||
1\24 | 50 | |||||||||||
2\46 | 52.17 | Shrutar is around here | ||||||||||
1\22 | 54.55 | |||||||||||
1\20 | 60 | |||||||||||
1\18 | 66.67 | |||||||||||
1\16 | 75 | |||||||||||
1\14 | 85.71 | |||||||||||
2\26 | 92.31 | Injera is around here | ||||||||||
1\12 | 100 | L/s = 4 | ||||||||||
2\22 | 109.09 | Srutal/Pajara is around here | ||||||||||
600/(2+pi) | ||||||||||||
1\10 | 120 | L/s = 3 | ||||||||||
600/(2+e) | ||||||||||||
3/28 | 128.57 | |||||||||||
600/(3+phi) | ||||||||||||
2/18 | 133.33 | |||||||||||
1\8 | 150 | Boundary of propriety (generators
larger than this are proper) | ||||||||||
600/(2+sqrt(3)) | ||||||||||||
3\22 | 163.64 | Hedgehog and echidna are both around here | ||||||||||
8\58 | 165.52 | |||||||||||
600/(2+phi) | Golden hedgehog/echidna | |||||||||||
13\94 | 165.96 | |||||||||||
5\36 | 166.67 | |||||||||||
600/(2+pi/2) | ||||||||||||
2\14 | 171.43 | Optimum rank range (L/s=3/2) | ||||||||||
1\6 | 200 |