Comptonesque: Difference between revisions
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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 [[2/1|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]]. | ||
Previously unnamed comptonesque temperaments are named after elements of creative projects by 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.) | ||
A table of the first 14 comptonesque temperaments follows: | A table of the first 14 comptonesque temperaments follows: | ||
{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
!Comma | ! Comma | ||
!Temperament | ! Temperament | ||
!Size of fifth (assuming just octave) | ! Size of fifth (assuming just octave) | ||
! Corresponding edo | |||
|- | |- | ||
|4/3 | | 4/3 | ||
| | | [[Bixby]] | ||
| | | 1200.0{{c}} | ||
| [[1edo]] | |||
|- | |- | ||
|9/8 | | 9/8 | ||
|[[Very low accuracy temperaments#Antitonic|Antitonic]] | | [[Very low accuracy temperaments#Antitonic|Antitonic]] | ||
| | | 600.0{{c}} | ||
| [[2edo]] | |||
|- | |- | ||
|32/27 | | 32/27 | ||
| | | [[Very low accuracy temperaments#Alteraugment|Alteraugment]] | ||
| | | 800.0{{c}} | ||
| [[3edo]] | |||
|- | |- | ||
|256/243 | | 256/243 | ||
|[[Blackwood]] | | [[Blackwood]] | ||
| | | 720.0{{c}} | ||
| [[5edo]] | |||
|- | |- | ||
|2187/2048 | | 2187/2048 | ||
|[[Whitewood]] | | [[Whitewood]] | ||
|685. | | 685.7{{c}} | ||
| [[7edo]] | |||
|- | |- | ||
|8192/6561 | | 8192/6561 | ||
|'''Alphard''' | | '''Alphard''' | ||
| | | 750.0{{c}} | ||
| [[8edo]] | |||
|- | |- | ||
|19683/16384 | | 19683/16384 | ||
|[[Tervenna]] | | [[Tervenna]] | ||
|666. | | 666.7{{c}} | ||
| [[9edo]] | |||
|- | |- | ||
|177147/131072 | | 177147/131072 | ||
|'''Yarzon''' | | '''Yarzon''' | ||
|654. | | 654.5{{c}} | ||
| [[11edo]] | |||
|- | |- | ||
|531441/524288 | | 531441/524288 | ||
|[[Compton]] | | [[Compton]] | ||
| | | 700.0{{c}} | ||
| [[12edo]] | |||
|- | |- | ||
|2097152/1594323 | | 2097152/1594323 | ||
|'''Adarion''' | | '''Adarion''' | ||
|738. | | 738.5{{c}} | ||
| [[13edo]] | |||
|- | |- | ||
|43046721/33554432 | | 43046721/33554432 | ||
|[[Ntiscifer]] | | [[Ntiscifer]] | ||
| | | 675.0{{c}} | ||
| [[16edo]] | |||
|- | |- | ||
|134217728/129140163 | | 134217728/129140163 | ||
|[[17-comma#Temperaments|Gothic]] | | [[17-comma#Temperaments|Gothic]] | ||
|705. | | 705.9{{c}} | ||
| [[17edo]] | |||
|- | |- | ||
|536870912/387420489 | | 536870912/387420489 | ||
|'''Haidomanz''' | | '''Haidomanz''' | ||
|733. | | 733.3{{c}} | ||
| [[18edo]] | |||
|- | |- | ||
|1162261467/1073741824 | | 1162261467/1073741824 | ||
|[[19th-octave temperaments#Graywood|Graywood]] | | [[19th-octave temperaments#Graywood|Graywood]] | ||
|694. | | 694.7{{c}} | ||
| [[19edo]] | |||
|} | |} | ||
More complex comptonesque temperaments include: | |||
{| class="wikitable" | |||
|+ | |||
! Comma | |||
! Temperament | |||
! Size of fifth (assuming just octave) | |||
! Corresponding edo | |||
|- | |||
| {{Monzo|46 -29}} | |||
| [[Mystery]] | |||
| 703.4{{c}} | |||
| [[29edo]] | |||
|- | |||
| {{Monzo|65 -41}} | |||
| [[Countercomp]] | |||
| 702.4{{c}} | |||
| [[41edo]] | |||
|- | |||
| {{Monzo|84 -53}} | |||
| [[Mercator]] | |||
| 701.9{{c}} | |||
| [[53edo]] | |||
|} | |||
[[Category:Temperament collections]] | |||
Latest revision as of 22:30, 13 January 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.
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 |