1080edo: Difference between revisions

Xenwolf (talk | contribs)
heading shifting, +cat
Xenwolf (talk | contribs)
m added step size number of divisors (and link to a short page that describes the procedure of getting this number from the prime factorization)
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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]]