Circular temperament: Difference between revisions

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A circular temperament 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.

'''Not to be confused with [[circulating temperament]].'''

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 Vector Graphics. Please add the correct name of the temperament if it is available.

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<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.~~

[[Category:Temperament]][[Category:Terms]]

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-A circular temperament 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.
+'''Not to be confused with [[circulating temperament]].'''
+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 Vector Graphics. Please add the correct name of the temperament if it is available.
@@ Line 108: / Line 111: @@
 |}
+<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.
+[[Category:Temperament]][[Category:Terms]]