Comptonesque: Difference between revisions
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A '''comptonesque''' temperament (not to be confused with the [[compton family]]) is a [[regular temperament|temperament]] [[tempering out]] the difference between a power of [[3/1|3]] and the nearest power of [[2/1|2]]. | A '''comptonesque''' temperament (not to be confused with the [[compton family]]) is a [[regular temperament|temperament]] [[tempering out]] the difference between a power of [[3/1|3]] and the nearest power of [[2/1|2]]. They constitute a subset of [[circular temperament]]s. | ||
Previously unnamed comptonesque temperaments are named after elements of creative projects by [[User:VectorGraphics|Vector]]. (Besides ntiscifer and tervenna, these are not necessarily permanent names.) | Previously unnamed comptonesque temperaments are named after elements of creative projects by [[User:VectorGraphics|Vector]]. (Besides ntiscifer and tervenna, these are not necessarily permanent names.) | ||
Latest revision as of 19:48, 22 September 2026
A comptonesque temperament (not to be confused with the compton family) is a temperament tempering out the difference between a power of 3 and the nearest power of 2. They constitute a subset of circular temperaments.
Previously unnamed comptonesque temperaments are named after elements of creative projects by Vector. (Besides ntiscifer and tervenna, these are not necessarily permanent names.)
A table of the first 14 comptonesque temperaments follows:
| Comma | Temperament | Size of fifth (assuming just octave) | Corresponding edo |
|---|---|---|---|
| 4/3 | Bixby | 1200.0 ¢ | 1edo |
| 9/8 | Antitonic | 600.0 ¢ | 2edo |
| 32/27 | Alteraugment | 800.0 ¢ | 3edo |
| 256/243 | Blackwood | 720.0 ¢ | 5edo |
| 2187/2048 | Whitewood | 685.7 ¢ | 7edo |
| 8192/6561 | Alphard | 750.0 ¢ | 8edo |
| 19683/16384 | Tervenna | 666.7 ¢ | 9edo |
| 177147/131072 | Yarzon | 654.5 ¢ | 11edo |
| 531441/524288 | Compton | 700.0 ¢ | 12edo |
| 2097152/1594323 | Adarion | 738.5 ¢ | 13edo |
| 43046721/33554432 | Ntiscifer | 675.0 ¢ | 16edo |
| 134217728/129140163 | Gothic | 705.9 ¢ | 17edo |
| 536870912/387420489 | Haidomanz | 733.3 ¢ | 18edo |
| 1162261467/1073741824 | Graywood | 694.7 ¢ | 19edo |
More complex comptonesque temperaments include:
| Comma | Temperament | Size of fifth (assuming just octave) | Corresponding edo |
|---|---|---|---|
| [46 -29⟩ | Mystery | 703.4 ¢ | 29edo |
| [65 -41⟩ | Countercomp | 702.4 ¢ | 41edo |
| [84 -53⟩ | Mercator | 701.9 ¢ | 53edo |