Archytas and ares
- "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
These temperaments are named after the ancient Greek mathematician Archytas and the Greek god Ares respectively, the latter being most likely related to the fact that Archytas was Greek.
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Todo: add etymology Add name (person who coined the terms) and year (when they were 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.