Archytas and ares

Archytas; ares
Subgroups	2.3.5.7, 2.3.5.7.11
Comma basis	64/63 (7-limit); ; 64/63, 100/99 (11-limit)
Reduced mapping	⟨1; 1 0 -2 -2; 0 1 0 2]
ET join	12 & 15 & 22
Generators (CWE)	~3/2 = 709.7 ¢, ~5/4 = 390.0 ¢
MOS scales	n/a
Ploidacot	n/a
Minimax error	9-odd-limit: 13.6 ¢; ; 11-odd-limit: 13.6 ¢
Target scale size	9-odd-limit: ? notes; ; 11-odd-limit: ? notes

"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).

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, in addition to the pattern of naming rank-3 temperaments after deities.

See Archytas family #Archytas and #Ares for technical data.