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The 12276 division divides the octave into equal steps of size 0.097752 cents. This creates a unit known as the prima, useful for measurement of 11-limit intervals and commas. The Pythagorean comma is represented by 240 prima, and the syntonic comma by 220. A prima is almost exactly three tuning units.

12276 is a strong 11-limit system, with a lower 11-limit relative error than any division aside from 6691. It factors as 12276 = 2^2 * 3^2 * 11 * 31, and among its divisors are 12, 22, 31, 99 and 198. 12276 tempers out the atom, so that the Pythagorean and syntonic commas an be approximated by 12 and 11 schismas respectively.