Archytas and ares: Difference between revisions
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'''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). | ||
{{tdlink|Archytas family # | {{tdlink|Archytas family #Archytas}} See also: [[Archytas family #Ares]]. | ||
== Etymology == | == Etymology == | ||
Revision as of 15:17, 2 September 2024
- "Archytas" redirects here. For the ancient Greek Pythagorean, see Wikipedia: Archytas.
Archytas is the rank-3 temperament tempering out 64/63, with the same 2.3.7-subgroup structure as archy but giving prime 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).
For technical data, see Archytas family #Archytas. See also: Archytas family #Ares.
Etymology
This temperament is named after the Greek god Ares, most likely related to the fact that Archytas was Greek.
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Todo: add etymology
Add name (person who coined the term) and year (when it was coined). Review reasoning if possible. |
Interval lattice
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11-limit ares
Chords
Archytas enables the eponymous essentially tempered chords of archytas chords. Ares further enables ptolemismic and valinorsmic chords.