4L 1s
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.
| ← 3L 1s | 4L 1s | 5L 1s → |
| ↙ 3L 2s | ↓ 4L 2s | 5L 2s ↘ |
Scale structure
sLLLL
Generator size
Related MOS scales
Equal tunings
All scales of this form are necessarily proper (because there is only one small step).
Names
The TAMNAMS system suggests the name manic, a name that is thematically inspired by Latin words "manus" (meaning "hand"[1]) and "mania" (the obvious source of the English word "mania").
Modes
- 4|0 LLLLs
- 3|1 LLLsL
- 2|2 LLsLL
- 1|3 LsLLL
- 0|4 sLLLL
Scale Tree
Generator ranges:
- Chroma-positive generator: 240 cents (1\5) to 300 cents (1\4)
- Chroma-negative generator: 900 cents (3\4) to 960 cents (4\5)
| Generator | Cents | s | L-s | Comments | |||||
|---|---|---|---|---|---|---|---|---|---|
| 1\5 | 240 | 240 | 0 | ||||||
| 6\29 | 248.28 | 206.9 | 41.38 | ||||||
| 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 | |||||
| 5\21 | 285.71 | 57.14 | 228.57 | ||||||
| 6\25 | 288 | 48 | 240 | ||||||
| 1\4 | 300 | 0 | 300 | ||||||