Archytas and ares: Difference between revisions

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No one calls archy or superpyth archytas
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{{Redirect|Archytas|the ancient Greek Pythagorean|Wikipedia: Archytas}}
{{Redirect|Archytas|the ancient Greek Pythagorean|Wikipedia: Archytas}}
''This page is about the [[rank-3]] temperament. For the rank-2 temperament, see [[Superpyth]].''


'''Archytas''' is the [[rank-3]] [[regular temperament|temperament]] [[tempering out]] [[64/63]], with the same 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).  
'''Archytas''' is the [[rank-3]] [[regular temperament|temperament]] [[tempering out]] [[64/63]], with the same 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).