4L 1s

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4L 1s
Brightest mode LLLLs
Period 2/1
Range for bright generator 1\5 (240.0¢) to 1\4 (300.0¢)
Range for dark generator 3\4 (900.0¢) to 4\5 (960.0¢)
Parent MOS 1L 3s
Daughter MOSes 5L 4s, 4L 5s
Sister MOS 1L 4s
TAMNAMS name manual
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 uses the name manual, a name that is thematically inspired by the Latin word "manus".

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

References