Archytas and ares: Difference between revisions
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{{Redirect|Archytas|the ancient Greek Pythagorean|Wikipedia: Archytas}} | {{Redirect|Archytas|the ancient Greek Pythagorean|Wikipedia: Archytas}} | ||
'''Archytas''' is the [[rank-3]] [[regular temperament|temperament]] [[tempering out]] [[64/63]], with the same 2.3.7- | '''Archytas''' is the [[rank-3]] [[regular temperament|temperament]] [[tempering out]] [[64/63]], with the same [[2.3.7 subgroup|2.3.7-subgroup]] structure as [[archy]] but giving [[prime harmonic|prime]] [[5/1|5]] an independent generator. It has an obvious extension to the [[11-limit]] tempering out [[100/99]] and [[176/175]], called '''ares''', as 64/63 = (100/99)⋅(176/175). | ||
These temperaments are named after the ancient Greek mathematician {{w|Archytas}} and the Greek god {{w|Ares}} respectively, the latter being most likely related to the fact that Archytas was Greek, in addition to the pattern of naming rank-3 temperaments after deities. | These temperaments are named after the ancient Greek mathematician {{w|Archytas}} and the Greek god {{w|Ares}} respectively, the latter being most likely related to the fact that Archytas was Greek, in addition to the pattern of naming rank-3 temperaments after deities. | ||