4L 1s
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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 | ||||||