1L 3s
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Scale structure
Step pattern
Lsss
sssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
3\4 to 1\1 (900.0¢ to 1200.0¢)
Dark
0\1 to 1\4 (0.0¢ to 300.0¢)
Related MOS scales
Parent
1L 2s
Sister
3L 1s
Daughters
4L 1s
1L 4s
Equal tunings
Equalized (L:s = 1:1)
3\4 (900.0¢)
Supersoft (L:s = 4:3)
10\13 (923.1¢)
Soft (L:s = 3:2)
7\9 (933.3¢)
Semisoft (L:s = 5:3)
11\14 (942.9¢)
Basic (L:s = 2:1)
4\5 (960.0¢)
Semihard (L:s = 5:2)
9\11 (981.8¢)
Hard (L:s = 3:1)
5\6 (1000.0¢)
Superhard (L:s = 4:1)
6\7 (1028.6¢)
Collapsed (L:s = 1:0)
1\1 (1200.0¢)
| ↑1L 2s | 2L 2s↗ | |
| 1L 3s | 2L 3s→ | |
| ↓1L 4s | 2L 4s↘ |
┌╥┬┬┬┐ │║││││ ││││││ └┴┴┴┴┘
sssL
1L 4s
1L 3s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 3 small steps, repeating every octave. Generators that produce this scale range from 900¢ to 1200¢, or from 0¢ to 300¢.
Modes
- 3|0 Lsss
- 2|1 sLss
- 1|2 ssLs
- 0|3 sssL
Scale tree
Generator ranges:
- Chroma-positive generator: 900 cents (3\4) to 1200 cents (1\1)
- Chroma-negative generator: 0 cents (0\1) to 300 cents (1\4)
| Small step (Chroma-negative generator) |
Cents | L | s | L/s | Comments | |||||
|---|---|---|---|---|---|---|---|---|---|---|
| 1\4 | 300.000 | 1 | 1 | 1.000 | ||||||
| 5\21 | 285.714 | 6 | 5 | 1.200 | ||||||
| 4\17 | 282.353 | 5 | 4 | 1.250 | ||||||
| 7\30 | 280.000 | 9 | 7 | 1.286 | ||||||
| 3\13 | 276.923 | 4 | 3 | 1.333 | ||||||
| 8\35 | 274.286 | 11 | 8 | 1.375 | ||||||
| 5\22 | 272.727 | 7 | 5 | 1.400 | ||||||
| 7\31 | 270.968 | 10 | 7 | 1.429 | Orson/Orwell | |||||
| 2\9 | 266.667 | 3 | 2 | 1.500 | ||||||
| 7\32 | 262.500 | 11 | 7 | 1.571 | ||||||
| 5\23 | 260.870 | 8 | 5 | 1.600 | ||||||
| 8\37 | 259.459 | 13 | 8 | 1.625 | Unnamed golden tuning (259.8508¢) | |||||
| 3\14 | 257.143 | 5 | 3 | 1.667 | ||||||
| 7\33 | 254.545 | 12 | 7 | 1.714 | ||||||
| 4\19 | 252.632 | 7 | 4 | 1.750 | ||||||
| 5\24 | 250.000 | 9 | 5 | 1.800 | Godzilla | |||||
| 1\5 | 240.000 | 2 | 1 | 2.000 | Basic 1L 3s (Small steps larger than this are proper) | |||||
| 4\21 | 228.571 | 9 | 4 | 2.250 | Laconic/gorgo | |||||
| 3\16 | 225.000 | 7 | 3 | 2.333 | ||||||
| 5\27 | 222.222 | 12 | 5 | 2.400 | ||||||
| 2\11 | 218.182 | 5 | 2 | 2.500 | ||||||
| 5\28 | 214.286 | 13 | 5 | 2.600 | Unnamed golden tuning (213.5979¢) | |||||
| 3\17 | 211.765 | 8 | 3 | 2.667 | ||||||
| 4\23 | 208.696 | 11 | 4 | 2.750 | ||||||
| 1\6 | 200.000 | 3 | 1 | 3.000 | ||||||
| 3\19 | 189.474 | 10 | 3 | 3.333 | Isra/deutone | |||||
| 2\13 | 184.615 | 7 | 2 | 3.500 | ||||||
| 3\20 | 180.000 | 11 | 3 | 3.667 | ||||||
| 1\7 | 171.429 | 4 | 1 | 4.000 | ||||||
| 2\15 | 160.000 | 9 | 2 | 4.500 | Porcupine | |||||
| 1\8 | 150.000 | 5 | 1 | 5.000 | ||||||
| 1\9 | 133.333 | 6 | 1 | 6.000 | ||||||
| 0\1 | 0.000 | 1 | 0 | → inf | ||||||