540edo

The 540 equal divisions of the octave (540edo), or the 540(-tone) equal temperament (540tet, 540et), divides the octave in 540 equal steps of about 2.22 cents each.

Theory

Since 540 = 2 × 270 and 540 = 45 × 12, it contains 270edo and 12edo as subsets, both belonging to the zeta peak edos, zeta integral edos and zeta gap edos sequences. It is enfactored in the 13-limit, with the same tuning as 270edo, but it makes for a reasonable 17- and 19-limit system, and perhaps beyond. It is, however, no longer consistent in the 15-odd-limit, all because of 15/13 being 1.14 cents sharp of just.

Divisors

540 is a very composite number. The prime factorization of 540 is 2² × 3³ × 5. Its divisors are 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, and 270.