1L 5s
Jump to navigation
Jump to search
| Brightest mode | Lsssss | |
| Period | 2/1 | |
| Range for bright generator | 5\6 (1,000.0¢) to 1\1 (1,200.0¢) | |
| Range for dark generator | 0\1 (0.0¢) to 1\6 (200.0¢) | |
| Parent MOS | 1L 4s | |
| Daughter MOSes | 6L 1s, 1L 6s | |
| Sister MOS | 5L 1s | |
| Equal tunings | ||
| Supersoft (L:s = 4:3) | 16\19 (1,010.5¢) | |
| Soft (L:s = 3:2) | 11\13 (1,015.4¢) | |
| Semisoft (L:s = 5:3) | 17\20 (1,020.0¢) | |
| Basic (L:s = 2:1) | 6\7 (1,028.6¢) | |
| Semihard (L:s = 5:2) | 13\15 (1,040.0¢) | |
| Hard (L:s = 3:1) | 7\8 (1,050.0¢) | |
| Superhard (L:s = 4:1) | 8\9 (1,066.7¢) | |
1L 5s is the MOS pattern Lsssss with small steps ranging from 0\1 (0¢) to 1\6 (one step of 6edo = 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 | ||||||