1330edo: Difference between revisions

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Created page with "{{Infobox ET}} {{EDO intro|1330}} == Theory == This system is consistent up to the 11-limit. {{Harmonics in equal|1330}} #### <!-..."
 
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|1330}}
{{ED intro}}


== Theory ==
1330edo is [[enfactoring|enfactored]] in the 7-limit and has the same tuning as [[665edo]]. It corrects 665edo's approximation of harmonic 11, only to be [[consistent]] up to the [[11-odd-limit]], unfortunately. It [[tempering out|tempers out]] [[3025/3024]], [[9801/9800]], and 234375/234256, supporting [[hemienneadecal]], though [[1178edo]] is a better tuning for that purpose.  
This system is consistent up to the 11-limit.


=== Prime harmonics ===
{{Harmonics in equal|1330}}
{{Harmonics in equal|1330}}


[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
=== Subsets and supersets ===
Since 1330 factors into {{factorization|1330}}, it has subset edos {{EDOs| 2, 5, 7, 19, 35, 70, 95, 133, 190, 266, and 665 }}. A step of 1330edo is exactly 24 imps ([[31920edo|24\31920]]).