1L 5s
| ↑1L 4s | 2L 4s↗ | |
| 1L 5s | 2L 5s→ | |
| ↓1L 6s | 2L 6s↘ |
1L 5s, also called antimachinoid, is a moment of symmetry scale consisting of 1 large step and 5 small steps, repeating every octave. This scale is made using a generator ranging from 1000¢ to 1200¢, or from 0¢ to 200¢.
There are two notable low-harmonic-entropy scales with this MOS pattern. The first is tetracot, in which four generators make a 3/2. The second is a scale in which two generators make a 5/4, which could be referred to by various names. The temperaments "luna", "hemithird", and "hemiwürschmidt" all have 6-note MOSes that are very similar. But perhaps it is best known as roulette6, the six note haplitonic scale for the roulette Chromatic pair.
This scale can be seen as the equal-tempered whole-tone scale (6edo), but with one "whole tone" that is larger than the others.
Other scales include very improper (incomplete) versions of porcupine, negri, etc.
Modes
- 5|0 Lsssss
- 4|1 sLssss
- 3|2 ssLsss
- 2|3 sssLss
- 1|4 ssssLs
- 0|5 sssssL
Scales
Scale tree
Generator ranges:
- Chroma-positive generator: 1000 cents (5\6) to 1200 cents (1\1)
- Chroma-negative generator: 0 cents (0\1) to 200 cents (1\6)
| Generator (Chroma-positive) |
Cents | L | s | L/s | Comments | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Chroma-positive | Chroma-negative | ||||||||||
| 5\6 | 1000.000 | 200.000 | 1 | 1 | 1.000 | ||||||
| 26\31 | 1006.452 | 193.548 | 6 | 5 | 1.200 | Luna/hemithirds/hemiwürschmidt, didacus/roulette, isra/tutone/leantone | |||||
| 21\25 | 1008.000 | 192.000 | 5 | 4 | 1.250 | Isra/leantone | |||||
| 37\44 | 1009.091 | 190.909 | 9 | 7 | 1.286 | Isra/deutone | |||||
| 16\19 | 1010.526 | 189.474 | 4 | 3 | 1.333 | Spell | |||||
| 43\51 | 1011.765 | 188.235 | 11 | 8 | 1.375 | ||||||
| 27\32 | 1012.500 | 187.500 | 7 | 5 | 1.400 | ||||||
| 38\45 | 1013.333 | 186.667 | 10 | 7 | 1.429 | ||||||
| 11\13 | 1015.385 | 184.615 | 3 | 2 | 1.500 | Glacial | |||||
| 39\46 | 1017.391 | 182.609 | 11 | 7 | 1.571 | ||||||
| 28\33 | 1018.182 | 181.818 | 8 | 5 | 1.600 | ||||||
| 45\53 | 1018.868 | 181.132 | 13 | 8 | 1.625 | Wilson Golden 2 (1018.6773¢) | |||||
| 17\20 | 1020.000 | 180.000 | 5 | 3 | 1.667 | ||||||
| 40\47 | 1021.277 | 178.723 | 12 | 7 | 1.714 | ||||||
| 23\27 | 1022.222 | 177.778 | 7 | 4 | 1.750 | ||||||
| 29\34 | 1023.529 | 176.471 | 9 | 5 | 1.800 | Tetracot | |||||
| 6\7 | 1028.571 | 171.429 | 2 | 1 | 2.000 | Basic 1L 5s (Generators smaller than this are proper) | |||||
| 25\29 | 1034.483 | 165.517 | 9 | 4 | 2.250 | ||||||
| 19\22 | 1036.364 | 163.636 | 7 | 3 | 2.333 | Porcupine (incomplete) | |||||
| 32\37 | 1037.838 | 162.162 | 12 | 5 | 2.400 | Porcupine/porcupinefish | |||||
| 13\15 | 1040.000 | 160.000 | 5 | 2 | 2.500 | ||||||
| 33\38 | 1042.105 | 157.895 | 13 | 5 | 2.600 | Hemikleismic Wilson Golden 1 (1042.4790¢) | |||||
| 20\23 | 1043.478 | 156.522 | 8 | 3 | 2.667 | ||||||
| 27\31 | 1045.161 | 154.839 | 11 | 4 | 2.750 | Nusecond | |||||
| 7\8 | 1050.000 | 150.000 | 3 | 1 | 3.000 | ||||||
| 22\25 | 1056.000 | 144.000 | 10 | 3 | 3.333 | ||||||
| 15\17 | 1058.824 | 141.176 | 7 | 2 | 3.500 | Progression (incomplete) | |||||
| 23\26 | 1061.538 | 138.462 | 11 | 3 | 3.667 | ||||||
| 8\9 | 1066.667 | 133.333 | 4 | 1 | 4.000 | ||||||
| 17\19 | 1073.684 | 126.316 | 9 | 2 | 4.500 | Negri (incomplete) | |||||
| 9\10 | 1080.000 | 120.000 | 5 | 1 | 5.000 | Miracle (incomplete) | |||||
| 10\11 | 1090.909 | 109.091 | 6 | 1 | 6.000 | Passion↓ (incomplete), ripple↓ (incomplete) | |||||
| 1\1 | 1200.000 | 0.000 | 1 | 0 | → inf | ||||||