BudjarnLambeth/Ed257/128: Difference between revisions
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An '''equal division of reduced harmonic 257''' ('''ed257/128''') is an [[equal-step tuning]] in which the [[4/1|4ve]]-reduced 257th harmonic ([[257/128]]) is [[Just intonation|justly tuned]] and is divided in a given number of equal steps. 257/128 is very close to the [[octave]], 2/1, but it is slightly sharper. This makes it suitable as an alternative to edos whose consonances are too flat, such as [[7edo]]. | An '''equal division of reduced harmonic 257''' ('''ed257/128''') is an [[equal-step tuning]] in which the [[4/1|4ve]]-reduced 257th harmonic ([[257/128]]) is [[Just intonation|justly tuned]] and is divided in a given number of equal steps. 257/128 is very close to the [[octave]], 2/1, but it is slightly sharper. This makes it suitable as an alternative to edos whose consonances are too flat, such as [[7edo]]. | ||
Ed257/128s really only make sense for that purpose with 65 or fewer tones per [[pseudo-octave]]. With more tones than that, the relative error on 2/1 becomes unacceptably high and it makes more sense to switch to a different tuning like a [[zpi]] or ed513/256. | |||
Ed257/128s are the complementary opposite of [[ed255/128]]s. | |||
== 7ed257/128 == | == 7ed257/128 == | ||
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== Related concepts == | == Related concepts == | ||
* [[Substitute harmonic]] | * [[Substitute harmonic]] | ||
* [[Equal-step tuning]] | * [[Equal-step tuning]] | ||
[[Category:Edonoi]][[Category:7edo]][[Category:7-tone scales]] | [[Category:Edonoi]][[Category:7edo]][[Category:7-tone scales]] | ||