Theory

540 tone equal temperament, also called 540-EDO divides the octave in 540 equal steps. 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.

Divisors

The prime factorization of 540 is [math]\displaystyle{ 540 = 2^{2} \cdot 3^{3} \cdot 5 }[/math]

Its divisors are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540.

Intervals

Size (steps) Size (cents) Just (ratio) Just (cents)
1
2
3
4