Antipyth: Difference between revisions

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'''Antipyth''' is a [[~~5/1~~]]~~-equivalent 5~~.7.11 [[subgroup ~~temperament~~]] ~~which~~ tempers out 859375/823543. It is suitable for extremely xenharmonic music where the primes 2 and 3 are both eliminated (hence the name).

'''Antipyth''' is the [[rank-2 temperament|rank-2]] [[regular temperament|temperament]] of the 5.7.11 [[subgroup]] that [[tempering out|tempers out]] [[859375/823543]].

It is suitable for extremely [[xenharmonic]] music where the primes 2 and 3 are both eliminated (hence the name), and where [[pentave]] [[equivalence]] may be assumed instead of the usual [[octave equivalence]]. In antipyth, the generator is a sharp [[7/5]] and 7 are needed to reach [[11/5]].

== Supporting equal-step tunings ==

[[19ed5]] is the first somewhat accurate ET [[support]]ing antipyth, containing the basic tuning of the 5L 9s{{angbr|5/1}} MOS, although the 11/5 is still smeary at 1319 cents, a minor ninth rather than a sharp [[neutral]] ninth. If the range limitation of [[ed5]]s is too restrictive, this temperament can be used with alternative [[period]]s such as [[11/5]] or [[11/7]].

== Etymology ==

From ''anti-'' ("opposite of") and ''pyth'' (abbreviation of [[Pythagorean]]).

{{todo|add etymology|inline=1|text=Add name (person who coined the term) and year (when it was coined).}}

== See also ==

* [[Nonoctave]]

* [[Edonoi]]

[[Category:Antipyth| ]]

[[Category:Rank-2 temperaments]]

[[Category:Non-octave temperaments]]

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-'''Antipyth''' is a [[5/1]]-equivalent 5.7.11 [[subgroup temperament]] which tempers out 859375/823543. It is suitable for extremely xenharmonic music where the primes 2 and 3 are both eliminated (hence the name).
+'''Antipyth''' is the [[rank-2 temperament|rank-2]] [[regular temperament|temperament]] of the 5.7.11 [[subgroup]] that [[tempering out|tempers out]] [[859375/823543]].
+It is suitable for extremely [[xenharmonic]] music where the primes 2 and 3 are both eliminated (hence the name), and where [[pentave]] [[equivalence]] may be assumed instead of the usual [[octave equivalence]]. In antipyth, the generator is a sharp [[7/5]] and 7 are needed to reach [[11/5]].
+{{tdlink|No-twos subgroup temperaments #Antipyth}}
+== Supporting equal-step tunings ==
+[[19ed5]] is the first somewhat accurate ET [[support]]ing antipyth, containing the basic tuning of the 5L 9s{{angbr|5/1}} MOS, although the 11/5 is still smeary at 1319 cents, a minor ninth rather than a sharp [[neutral]] ninth. If the range limitation of [[ed5]]s is too restrictive, this temperament can be used with alternative [[period]]s such as [[11/5]] or [[11/7]].
+== Etymology ==
+From ''anti-'' ("opposite of") and ''pyth'' (abbreviation of [[Pythagorean]]).
+{{todo|add etymology|inline=1|text=Add name (person who coined the term) and year (when it was coined).}}
+== See also ==
+* [[Nonoctave]]
+* [[Edonoi]]
+{{Todo|inline=1|expand}}
+[[Category:Antipyth| ]] <!-- main article -->
+[[Category:Rank-2 temperaments]]
+[[Category:Non-octave temperaments]]