1125edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''1125edo''' divides the octave into parts of 1.066 cents each.
{{ED intro}}


Its divisors are  {{EDOs|1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375}}.
1125edo is a good 13-limit system, [[consistency|distinctly consistent]] to the [[15-odd-limit]], and the no-11 or no-17 [[29-odd-limit]]. It [[Tempering out|tempers out]] [[2401/2400]], [[4375/4374]], and [[250047/250000]] in the 7-limit, supporting [[ennealimmal]].  


==Theory==
=== Prime harmonics ===
{{harmonics in equal|1125}}
{{Harmonics in equal|1125}}
In the 11-limit, 1125edo tempers out [[2401/2400]], [[4375/4374]], and [[250047/250000]].


[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
=== Subsets and supersets ===
Snce 1125 factors into {{factorization|1125}}, 1125edo has subset edos {{EDOs| 3, 5, 9, 15, 25, 45, 75, 125, 225, 375 }}.