1L 5s: Difference between revisions
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There are two notable low-harmonic-entropy scales with this [[MOS | There are two notable low-harmonic-entropy scales with this [[MOS Scale|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. | Other scales include very improper (incomplete) versions of porcupine, negri, etc. | ||
== Scales == | == Scales == | ||
* [[ | * [[Roulette6]] | ||
* [[ | * [[Tutone6]] | ||
* [[ | * [[Deutone6]] | ||
* [[ | * [[Leantone6]] | ||
* [[ | * [[Glacial6]] | ||
== Scale tree == | == Scale tree == | ||
Revision as of 09:41, 19 May 2021
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 | ||||||