1L 5s
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.
Scales
Scale tree
| Generator | 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, tutone/deutone/leantone | |||||
| 21\25 | 1008.000 | 192.000 | 5 | 4 | 1.250 | ||||||
| 37\44 | 1009.091 | 190.909 | 9 | 7 | 1.286 | ||||||
| 16\19 | 1010.526 | 189.474 | 4 | 3 | 1.333 | ||||||
| 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 | 1.428 | ||||||
| 11\13 | 1015.385 | 184.615 | 3 | 2 | 1.500 | L/s = 3/2, 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 | Unnamed golden tuning[dead link] | |||||
| 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 | ||||||
| 13\15 | 1040.000 | 160.000 | 5 | 2 | 2.500 | ||||||
| 33\38 | 1042.105 | 157.895 | 13 | 5 | 2.600 | Golden hemikleismic (?) | |||||
| 20\23 | 1043.478 | 156.522 | 8 | 3 | 2.667 | ||||||
| 27\31 | 1045.161 | 154.839 | 11 | 4 | 2.750 | ||||||
| 7\8 | 1050.000 | 150.000 | 3 | 1 | 3.000 | L/s = 3/1 | |||||
| 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 | ||||||