Archytas–diatonic equivalence continuum

The Archytas-diatonic equivalence continuum is a continuum of 2.3.7-limit temperaments which equate a number of Archytas commas (64/63) with the limma (256/243).

All temperaments in the continuum satisfy (64/63)ⁿ ~ 256/243. Varying n results in different temperaments listed in the table below. It converges to archy as n approaches infinity. If we allow non-integer and infinite n, the continuum describes the set of all 2.3.7 subgroup temperaments supported by 5edo (due to it being the unique equal temperament that tempers both commas and thus tempers all combinations of them).