4L 5s: Difference between revisions
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m temperament restriction |
m exception to temperament restriction is for explaining the scale name |
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| Pattern = LsLsLsLss | | Pattern = LsLsLsLss | ||
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'''4L 5s''' refers to the structure of [[MOS scales]] whose generator falls between 2\9 (two degrees of [[9edo|9edo]] = approx. 266.667¢) and 1\4 (one degree of [[4edo|4edo]] = 300¢). In the case of 9edo, L and s are the same size; in the case of 4edo, s is so small it disappears. The spectrum, then, goes something like: | '''4L 5s''' or '''orwelloid''' (named after the abstract temperament [[orwell]]) refers to the structure of [[MOS scales]] whose generator falls between 2\9 (two degrees of [[9edo|9edo]] = approx. 266.667¢) and 1\4 (one degree of [[4edo|4edo]] = 300¢). In the case of 9edo, L and s are the same size; in the case of 4edo, s is so small it disappears. The spectrum, then, goes something like: | ||
{| class="wikitable" | {| class="wikitable" | ||
Revision as of 07:58, 28 March 2021
User:IlL/Template:RTT restriction
| ↖ 3L 4s | ↑ 4L 4s | 5L 4s ↗ |
| ← 3L 5s | 4L 5s | 5L 5s → |
| ↙ 3L 6s | ↓ 4L 6s | 5L 6s ↘ |
┌╥┬╥┬╥┬╥┬┬┐ │║│║│║│║│││ │││││││││││ └┴┴┴┴┴┴┴┴┴┘
Scale structure
ssLsLsLsL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
4L 5s or orwelloid (named after the abstract temperament orwell) refers to the structure of MOS scales whose generator falls between 2\9 (two degrees of 9edo = approx. 266.667¢) and 1\4 (one degree of 4edo = 300¢). In the case of 9edo, L and s are the same size; in the case of 4edo, s is so small it disappears. The spectrum, then, goes something like:
| Generator | Scale | Generator in cents | Comments | ||||
|---|---|---|---|---|---|---|---|
| 2\9 | 1 1 1 1 1 1 1 1 1 | 266.667 | |||||
| 9\40 | 4 5 4 5 4 5 4 5 4 | 270 | |||||
| 7\31 | 3 4 3 4 3 4 3 4 3 | 270.968 | |||||
| 12\53 | 5 7 5 7 5 7 5 7 5 | 271.698 | |||||
| 5\22 | 2 3 2 3 2 3 2 3 2 | 272.727 | |||||
| 2 pi 2 pi 2 pi 2 pi 2 | 273.412 | ||||||
| 13\57 | 5 8 5 8 5 8 5 8 5 | 273.684 | |||||
| 8\35 | 3 5 3 5 3 5 3 5 3 | 274.286 | |||||
| 1 √3 1 √3 1 √3 1 √3 1 | 274.85 | ||||||
| 11\48 | 4 7 4 7 4 7 4 7 4 | 275 | |||||
| 3\13 | 1 2 1 2 1 2 1 2 1 | 276.923 | Boundary of propriety:
generators smaller than this are proper | ||||
| 10\43 | 3 7 3 7 3 7 3 7 3 | 279.07 | |||||
| 7\30 | 2 5 2 5 2 5 2 5 2 | 280.000 | |||||
| 11\47 | 3 8 3 8 3 8 3 8 3 | 280.851 | |||||
| 1 e 1 e 1 e 1 e 1 | 281.100 | L/s = e | |||||
| 4\17 | 1 3 1 3 1 3 1 3 1 | 282.353 | L/s = 3 | ||||
| 1 pi 1 pi 1 pi 1 pi 1 | 282.922 | L/s = pi | |||||
| 9\38 | 2 7 2 7 2 7 2 7 2 | 284.2105 | |||||
| 5\21 | 1 4 1 4 1 4 1 4 1 | 285.714 | L/s = 4 | ||||
| 6\25 | 1 5 1 5 1 5 1 5 1 | 288 | |||||
| 1\4 | 0 1 0 1 0 1 0 1 0 | 300.000 | |||||