Prima

The prima is a unit of interval size equal to 1 step of 12276edo, useful for measurement of 11-limit intervals and commas. Given that 12276edo factors as 2² × 3² × 11 × 31, a prima is a whole number division of one degree of 12edo, 22edo, 31edo, 99edo and 198edo. The Pythagorean comma is represented by 240 prima, and the syntonic comma by 220 (and the schisma is therefore represented as 20 prima). A prima is almost exactly three tuning units. As one degree of 12edo is 1023 prima, one cent is exactly 10.23 prima.