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.
The rank-3 quartismic temperament is the 2.3.7.11 temperament that tempers out this comma; equivalently it is the 22&24&159 temperament.