Quartismic family

The quartisma is the ratio 117440512/117406179 (in monzo form, [24 -6 0 1 -5⟩), or the difference between six 33/32 quarter tones and one 77/64 minor third. Examples of edos that temper out the quartisma are 22edo, 24edo, 46edo and 159edo.

The rank-3 quartismic temperament is the rank-3 2.3.7.11 temperament that tempers out this comma; equivalently it is the 22&24&159 temperament. The page will also list various rank-2 temperaments that temper out this comma and thus belong in the quartismic family.