# Pythagorean comma

(Redirected from 531441/524288)

The **Pythagorean** or **ditonic comma** (about 23.460¢) is the interval 531441/524288 or | -19 12 > in Monzo notation. It could also be called the 12-comma as it is the amount by which twelve fifths exceed seven octaves, or in other words (3/2)^12/2^7 and it also can be written as the ratio between the apotome and the Pythagorean minor second, (2187/2048)/(256/243). For EDOs up to 300, it is tempered out if and only if the EDO is a multiple of 12, and hence for instance by 12edo, 24edo, 72edo and 84edo.