4L 1s
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Pattern | LLLLs | |
Period | 2/1 | |
Generator range | 1\5 (240.0¢) to 1\4 (300.0¢) | |
Parent MOS | 1L 3s | |
Daughter MOSes | 5L 4s, 4L 5s | |
Sister MOS | 1L 4s | |
TAMNAMS name | manic | |
Equal tunings | ||
Supersoft (L:s = 4:3) | 4\19 (252.6¢) | |
Soft (L:s = 3:2) | 3\14 (257.1¢) | |
Semisoft (L:s = 5:3) | 5\23 (260.9¢) | |
Basic (L:s = 2:1) | 2\9 (266.7¢) | |
Semihard (L:s = 5:2) | 5\22 (272.7¢) | |
Hard (L:s = 3:1) | 3\13 (276.9¢) | |
Superhard (L:s = 4:1) | 4\17 (282.4¢) |
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).
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 |