Archytas and ares
Ares is the rank-3 temperament tempering out any two of 64/63, 100/99 and 176/175. It is one of the best extensions of archytas, the rank-3 temperament tempering out 64/63.
See Archytas family #Ares for technical data.
Interval lattice
Chords
Ares enables essentially tempered chords of archytas, ptolemismic, and valinorsmic.