Antipyth: Difference between revisions
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{{tdhat|No-twos subgroup temperaments #Antipyth}} | {{tdhat|No-twos subgroup temperaments #Antipyth}} | ||
'''Antipyth''' is the [[rank]]-2 [[regular temperament]] | '''Antipyth''' is the [[rank]]-2 [[regular 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]]. [[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 == | == Etymology == | ||
Revision as of 04:36, 27 August 2024
For technical data, see No-twos subgroup temperaments #Antipyth. Antipyth is the rank-2 regular 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. 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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