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.
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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See also
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