1080edo: Difference between revisions

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Its 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.
Its 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.
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Revision as of 00:37, 12 May 2020

Theory

1080 tone equal temperament, also called 1080-EDO divides the octave in 1080 equal steps. 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.

Divisors

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

Its 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.