1L 4s
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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 3s | 2L 3s ↗ | |
| 1L 4s | 2L 4s → | |
| ↓ 1L 5s | 2L 5s ↘ |
┌╥┬┬┬┬┐ │║│││││ │││││││ └┴┴┴┴┴┘
ssssL
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
| UDP | Cyclic order |
Step pattern |
Scale degree (mosdegree) | |||||
|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | |||
| 4|0 | 1 | Lssss | Perf. | Aug. | Maj. | Maj. | Perf. | Perf. |
| 3|1 | 5 | sLsss | Perf. | Perf. | Maj. | Maj. | Perf. | Perf. |
| 2|2 | 4 | ssLss | Perf. | Perf. | Min. | Maj. | Perf. | Perf. |
| 1|3 | 3 | sssLs | Perf. | Perf. | Min. | Min. | Perf. | Perf. |
| 0|4 | 2 | ssssL | Perf. | Perf. | Min. | Min. | Dim. | Perf. |
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 | ||||||