1L 4s

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↑1L 3s 2L 3s ↗
1L 4s 2L 4s →
↓1L 5s 2L 5s ↘
┌╥┬┬┬┬┐
│║│││││
│││││││
└┴┴┴┴┴┘
Scale structure
Step pattern Lssss
ssssL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 4\5 to 1\1 (960.0¢ to 1200.0¢)
Dark 0\1 to 1\5 (0.0¢ to 240.0¢)
Related MOS scales
Parent 1L 3s
Sister 4L 1s
Daughters 5L 1s, 1L 5s
Neutralized 2L 3s
2-Flought 6L 4s, 1L 9s
Equal tunings
Equalized (L:s = 1:1) 4\5 (960.0¢)
Supersoft (L:s = 4:3) 13\16 (975.0¢)
Soft (L:s = 3:2) 9\11 (981.8¢)
Semisoft (L:s = 5:3) 14\17 (988.2¢)
Basic (L:s = 2:1) 5\6 (1000.0¢)
Semihard (L:s = 5:2) 11\13 (1015.4¢)
Hard (L:s = 3:1) 6\7 (1028.6¢)
Superhard (L:s = 4:1) 7\8 (1050.0¢)
Collapsed (L:s = 1:0) 1\1 (1200.0¢)

1L 4s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 4 small steps, repeating every octave. Generators that produce this scale range from 960¢ to 1200¢, or from 0¢ to 240¢. The only notable low-harmonic-entropy scale for this MOS pattern is slendric or gamelismic, in which the generator is 8/7 and three of them make a 3/2. Other scales include very improper (incomplete) versions of porcupine, negri, etc.

Modes

  • 4|0 Lssss
  • 3|1 sLsss
  • 2|2 ssLss
  • 1|3 sssLs
  • 0|4 ssssL

Scale tree

Generator ranges:

  • Chroma-positive generator: 960 cents (4\5) to 1200 cents (1\1)
  • Chroma-negative generator: 0 cents (0\1) to 240 cents (1\5)
Small step
(chroma-negative generator)
Cents L s L/s Comments
1\5 240.000 1 1 1.000
5\26 230.769 6 5 1.200
4\21 228.571 5 4 1.250 Laconic/gorgo
7\37 227.027 9 7 1.286 Semaja
3\16 225.000 4 3 1.333
8\43 223.256 11 8 1.375
5\27 222.222 7 5 1.400
7\38 221.053 10 7 1.429
2\11 218.182 3 2 1.500
7\39 215.385 11 7 1.571
5\28 214.286 8 5 1.600
8\45 213.333 13 8 1.625 Golden machine (213.5979¢)
3\17 211.765 5 3 1.667
7\40 210.000 12 7 1.714
4\23 208.696 7 4 1.750
5\29 206.897 9 5 1.800
1\6 200.000 2 1 2.000 Basic 1L 4s
(small steps larger than this are proper)
4\25 192.000 9 4 2.250 Luna/hemithirds, Isra/leantone
3\19 189.474 7 3 2.333 Spell
5\32 187.500 12 5 2.400
2\13 184.615 5 2 2.500
5\33 181.818 13 5 2.600 Wilson Golden 2 (181.3227¢)
3\20 180.000 8 3 2.667
4\27 177.778 11 4 2.750
1\7 171.429 3 1 3.000
3\22 163.636 10 3 3.333 Porcupine
2\15 160.000 7 2 3.500
3\23 156.522 11 3 3.667
1\8 150.000 4 1 4.000
2\17 141.176 9 2 4.500 Bleu/jerome
1\9 133.333 5 1 5.000
1\10 120.000 6 1 6.000 Negri
0\1 0.000 1 0 → inf