4L 1s

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← 3L 1s4L 1s 5L 1s →
↙ 3L 2s ↓4L 2s 5L 2s ↘
┌╥╥╥╥┬┐
│║║║║││
│││││││
└┴┴┴┴┴┘
Scale structure
Step pattern LLLLs
sLLLL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 1\5 to 1\4 (240.0¢ to 300.0¢)
Dark 3\4 to 4\5 (900.0¢ to 960.0¢)
Related MOS scales
Parent 1L 3s
Sister 1L 4s
Daughters 5L 4s, 4L 5s
Neutralized 3L 2s
2-Flought 9L 1s, 4L 6s
Equal tunings
Equalized (L:s = 1:1) 1\5 (240.0¢)
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¢)
Collapsed (L:s = 1:0) 1\4 (300.0¢)

4L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 1 small step, repeating every octave. Generators that produce this scale range from 240¢ to 300¢, or from 900¢ to 960¢. Scales of this form are always proper because there is only one small step. 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.

Names

The TAMNAMS system uses the name manual, a name that is thematically inspired by the Latin word "manus".

Modes

Each mode has a "name" provided by TAMNAMS, consisting of a number (of generators up from the root present) and pipe. Modes can also be referred to using their pattern of large (L) and small (s) steps. Additionally, cellularAutomaton has proposed names based on Latin names for fingers of the hand for increased distinctiveness and memorability.

Modes of 4L 1s
Step pattern TAMNAMS cellularAutomaton's names
LLLLs 4L 1s 4| Minimal
LLLsL 4L 1s 3| Medicinal
LLsLL 4L 1s 2| Medial
LsLLL 4L 1s 1| Indical
sLLLL 4L 1s 0| Pollical

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