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Circular temperament: Difference between revisions

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'''Not to be confused with [[circulating temperament]].'''
{{Distinguish|circulating temperament}}


A '''circular temperament'''{{idiosyncratic}} is a [[regular temperament|temperament]] that equates some number of a given [[prime harmonic]] to the number of [[octave]]s that is closest in numerical value, by [[tempering out]] a [[comma]] of less than 600c, thus closing the circle of that interval (hence the name). The most widespread circular temperament is that of the 12edo circle of fifths, called [[compton]] temperament, and each [[edo]] has a circular temperament for any given prime greater than 2.


A circular temperament{{idiosyncratic}} is a temperament that equates some number of a given prime harmonic to the number of octaves that is closest in numerical value, by tempering out a comma of less than 600c, thus closing the circle of that interval (hence the name). The most widespread circular temperament is that of the 12edo circle of fifths, called [[compton]] temperament, and each EDO has a circular temperament for any given prime greater than 2.
Names in bold are placeholder names assigned by [[User:VectorGraphics|Vector Graphics]]. Please add the correct name of the temperament if it is available.


Names in bold are placeholder names assigned by Vector Graphics. Please add the correct name of the temperament if it is available.
The circular temperaments include the comptonesque temperaments, which are the column labeled 3.


 
{| class="wikitable center-1"
The circular temperaments include the comptonesque temperaments, which are the column labeled 3.
{| class="wikitable"
|+
|+
!EDO
! Edo
![[Comptonesque|3]]
! [[Comptonesque|3]]
!5
! 5
!7
! 7
|-
|-
|1
| 1
|bixby
| [[bixby]]
|'''archon'''
| [[Very low accuracy temperaments#Archon|archon]]
|'''corvus'''
| '''corvus'''
|-
|-
|2
| 2
|antitonic
| antitonic
|'''xalie'''
| '''xalie'''
|'''venti'''
| (corvus)**
|-
|-
|3
| 3
|alteraugment
| alteraugment
|augmented
| augmented
|'''azazel'''
| '''azazel'''
|-
|-
|4
| 4
|(antitonic)
| (antitonic)
|'''thao'''
| '''thao'''
|'''gregario'''
| '''gregario'''
|-
|-
|5
| 5
|blackwood
| blackwood
|'''aledai'''
| '''aledai'''
|cloudy
| cloudy
|-
|-
|6
| 6
|(alteraugment)
| (alteraugment)
|(augmented)
| (augmented)
|'''kobold'''
| '''kobold'''
|-
|-
|7
| 7
|whitewood
| whitewood
|'''eryam'''
| '''eryam'''
|'''sobaka'''
| '''sobaka'''
|-
|-
|8
| 8
|'''alphard'''
| '''alphard'''
|'''issimi'''
| '''issimi'''
|(gregario)
| (gregario)
|-
|-
|9
| 9
|tervenna
| [[tervenna]]
|(augmented)
| (augmented)
|'''argentine'''
| '''argentine'''
|-
|-
|10
| 10
|(blackwood)
| (blackwood)
|'''rumekogan'''
| '''rumekogan'''
|(cloudy)
| (cloudy)
|-
|-
|11
| 11
|'''yarzon'''
| '''yarzon'''
|'''glazia'''
| '''glazia'''
|'''abaddon'''
| '''abaddon'''
|-
|-
|12
| 12
|compton
| compton
|(augmented)
| (augmented)
|(kobold)
| (kobold)
|-
|-
|13
| 13
|'''adarion'''
| '''adarion'''
|'''pextum'''
| '''pextum'''
|[[dilemmic]] (requiem)*
| [[dilemmic]] (requiem)*
|-
|-
|14
| 14
|(whitewood)
| (whitewood)
|'''kaoad'''
| '''kaoad'''
|'''alteki'''
| '''alteki'''
|-
|-
|15
| 15
|(blackwood)
| (blackwood)
|(augmented)
| (augmented)
|(cloudy)
| (cloudy)
|-
|-
|16
| 16
|ntiscifer
| [[ntiscifer]]
|'''celeth'''
| '''celeth'''
|'''tabaraxi'''
| '''tabaraxi'''
|-
|-
|17
| 17
|gothic
| gothic
|'''roklot'''
| '''roklot'''
|'''azura'''
| '''azura'''
|-
|-
|18
| 18
|'''haidomanz'''
| '''haidomanz'''
|(augmented)
| (augmented)
|'''succoria'''
| '''succoria'''
|-
|-
|19
| 19
|graywood
| graywood
|'''vitenle'''
| '''vitenle'''
|'''skaire'''
| '''skaire'''
|}
|}
<nowiki>*</nowiki>yes this means that [[96889010407/68719476736]] is now called the ''dilemma''. this can be called requiem temperament if taken together with the temperament of [[137438953472/96889010407]], or the tsuchi temperament.


<nowiki>*</nowiki>yes this means that [[96889010407/68719476736]] is now called the ''dilemma''. this can be called requiem temperament if taken together with the temperament of [[137438953472/96889010407]], or the tsuchi temperament.
<nowiki>**</nowiki>Corvus and Venti are basically the same thing


[[Category:Temperament]][[Category:Terms]]
[[Category:Regular temperament theory]]
[[Category:Terms]]
Retrieved from "https://en.xen.wiki/w/Circular_temperament"