1053edo: Difference between revisions

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Created page with "{{Infobox ET}} {{EDO intro|1053}} 1053edo is consistent in the 11-odd-limit. 1053edo tempers out the ennealimma, which divides the octave into 9 parts. As expansion..."
 
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|1053}}
{{ED intro}}


1053edo is [[consistent]] in the 11-odd-limit.  
1053edo is [[consistent]] in the [[11-odd-limit]]. It is a very strong 5-limit tuning where it [[tempering out|tempers out]] {{monzo| 1 -27 18 }} ([[ennealimma]]), {{monzo| 91 -12 -31 }} ([[astro comma]]), and {{monzo| 92 -39 -13 }} ([[aluminium comma]]). It [[support]]s and gives a good tuning for the [[quadraennealimmal]] temperament, as well as the 27th-octave [[trinealimmal]].


1053edo tempers out the [[ennealimma]], which divides the octave into 9 parts. As expansions of ennealimmal, it tunes the [[quadraennealimmal]] temperament, as well as the 27th-octave [[trinealimmal]]. It is also a tuning for the 13th-octave [[aluminium]] temperament.
=== Prime harmonics ===
{{Harmonics in equal|1053}}


=== Subsets and supersets ===
=== Subsets and supersets ===
1053 factors as {{Factorization|1053}}, therefore 1053edo has subset edos {{EDOs|1, 3, 9, 13, 27, 39, 81, 117, 351}}.
Since 1053 factors as {{factorization|1053}}, 1053edo has subset edos {{EDOs| 3, 9, 13, 27, 39, 81, 117, 351 }}.