12655edo: Difference between revisions
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== Theory == | == Theory == | ||
12655edo is notable for having a very accurate 5th harmonic. It is also notable for having an accurate [[1/4-comma meantone]] fifth, being only about 0.00000097 cents sharp. 12655edo approximates the [[2.5.7 subgroup]] very well, and is okay as a [[7-limit]] system. | 12655edo is notable for having a very accurate 5th harmonic. It is also notable for having an accurate [[1/4-comma meantone]] fifth, being only about 0.00000097 cents sharp. 12655edo approximates the [[2.5.7 subgroup]] very well, and is okay as a [[7-limit]] system. Notably, 12655edo tempers out the [[exodia comma]], supporting the [[exodia]] temperament. | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|12655|columns=11}} | {{Harmonics in equal|12655|columns=11|title=Approximation of prime harmonics in 12655edo|intervals=prime}} | ||
{{Harmonics in equal|12655|columns=11|start=12|collapsed=true|title=Approximation of prime harmonics in 12655edo (continued)}} | {{Harmonics in equal|12655|columns=11|start=12|collapsed=true|title=Approximation of prime harmonics in 12655edo (continued)|intervals=prime}} | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
Since 12655 factorizes into {{factorization|12655}}, 72569edo has subset edos {{EDOs| 5 and 2531 }}. | Since 12655 factorizes into {{factorization|12655}}, 72569edo has subset edos {{EDOs| 5 and 2531 }}. | ||