1080edo: Difference between revisions
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== Theory == | == Theory == | ||
{{primes in edo|1080|columns=15}} | |||
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]]. | ||
Revision as of 09:13, 25 September 2021
1080 tone equal temperament, also called 1080-EDO divides the octave in 1080 equal steps of approximately 1.11 cents.
Theory
Script error: No such module "primes_in_edo". 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.