1080edo: Difference between revisions

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'''1080 tone equal temperament''', also called '''1080-EDO''' divides the octave in 1080 equal steps of approximately 1.11 [[cent]]s.
== Theory ==
== 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 Riemann Zeta Function and Tuning#Zeta EDO lists|the ''zeta peak edos'', ''zeta integral edos'' and ''zeta gap edos'' sequences]].
Since 1080 = 4 * 270 and 1080 = 15 * 72, it contains [[270edo]] and [[72edo]] as subsets, both belonging to [[The Riemann Zeta Function and Tuning#Zeta EDO lists|the ''zeta peak edos'', ''zeta integral edos'' and ''zeta gap edos'' sequences]].


== Divisors ==
== Divisors ==
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<math>1080 = 2^{3} \cdot 3^{3} \cdot 5</math>
<math>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.
Its [[number of the divisors|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.


[[Category:edo]]
[[Category:edo]]

Revision as of 09:54, 29 May 2020

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.

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.