Quartismic family

The quartisma is an 11-limit comma with a ratio of 117440512/117406179 and a monzo of [24 -6 0 1 -5⟩. It is the difference between a stack of six 33/32 quartertones and one 77/64 minor third, and it has a value of approximately 0.50619 cents- meaning it is an unnoticeable comma. 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.