1L 5s
| ↑ 1L 4s | 2L 4s ↗ | |
| 1L 5s | 2L 5s → | |
| ↓ 1L 6s | 2L 6s ↘ |
sssssL
1L 5s, named antimachinoid in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 5 small steps, repeating every octave. Generators that produce this scale range 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.
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 | ||||||