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The 12276 division divides the octave into equal steps of size 0.097752 cents. It 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.