Antipyth: Difference between revisions
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'''Antipyth''' is the [[rank-2 temperament|rank-2]] [[regular temperament|temperament]] of the 5.7.11 [[subgroup]] that [[tempering out|tempers out]] [[859375/823543]]. | |||
'''Antipyth''' is | |||
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]] | |||
Latest revision as of 09:19, 29 April 2025
Antipyth is the rank-2 temperament of the 5.7.11 subgroup that 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.
For technical data, see No-twos subgroup temperaments #Antipyth.
Supporting equal-step tunings
19ed5 is the first somewhat accurate ET supporting antipyth, containing the basic tuning of the 5L 9s⟨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 ed5s is too restrictive, this temperament can be used with alternative periods such as 11/5 or 11/7.
Etymology
From anti- ("opposite of") and pyth (abbreviation of Pythagorean).
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Todo: add etymology
Add name (person who coined the term) and year (when it was coined). |
See also
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Todo: expand |