Archytas and ares: Difference between revisions

m FloraC moved page Ares to Archytas and ares: Per discussion on Discord
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{{Redirect|Archytas|the ancient Greek Pythagorean|Wikipedia: Archytas}}
{{Redirect|Archytas|the ancient Greek Pythagorean|Wikipedia: Archytas}}


'''Ares''' is the [[rank]]-3 [[regular temperament]] of the [[11-limit]] that [[tempers out]] [[64/63]] and [[100/99]]. It also tempers out their difference, [[176/175]]. It is one of the best extensions of '''archytas''', the rank-3 temperament tempering out 64/63.  
'''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).  


{{tdlink|Archytas family #Ares}} See also: [[Ptolemismic clan #Ares]].
{{tdlink|Archytas family #Ares}} See also: [[Ptolemismic clan #Ares]].
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== Chords ==
== Chords ==
Ares enables [[essentially tempered chord]]s of [[archytas chords|archytas]], [[ptolemismic chords|ptolemismic]], and [[valinorsmic chords|valinorsmic]].  
Archytas enables the eponymous [[essentially tempered chord]]s of [[archytas chords]]. Ares further enables [[ptolemismic chords|ptolemismic]] and [[valinorsmic chords]].  


== Scales ==
== Scales ==