1080edo

1080 tone equal temperament, also called 1080-EDO divides the octave in 1080 equal steps of approximately 1.11 cents.

Theory

Since 1080 = 4 * 270 and 1080 = 15 * 72, it contains 270edo and 72edo as subsets, both belonging to the zeta peak edos, zeta integral edos and zeta gap edos sequences.

In the 13-limit, 1080edo is contorted order-4, with the same tuning as 270edo. In the 1080e val, which puts the 11th harmonic on 3737, it tempers out 114345/114244, and in the 1080ef val it tempers out 2080/2079.

Divisors

The prime factorization of 1080 is [math]\displaystyle{ 1080 = 2^{3} \cdot 3^{3} \cdot 5 }[/math]

Its 32 divisors are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080.