A qualifier used to describe temperaments which are based on the distribution of the pythagorean comma, in honor of the ancient Greek music-theorist Aristoxenos , who described tuning a 12-tone scale by means of 4ths and 5ths, but without describing any ratios, in which the pythagorean comma vanishes.
The EDOs in the family of aristoxenean temperaments have cardinalities which are multiples of 12, thus: 12, 24, 36, 48, 60, 72, 84, 96, etc.