EDF: Difference between revisions
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The '''equal division of the fifth''' ('''EDF''' or '''ED3/2''') is a [[tuning]] obtained by dividing the [[3/2|perfect fifth (3/2)]] in a certain number of [[equal]] steps. | The '''equal division of the fifth''' ('''EDF''' or '''ED3/2''') is a [[tuning]] obtained by dividing the [[3/2|perfect fifth (3/2)]] in a certain number of [[equal]] steps. | ||
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Division of 3/2 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, EDF scales have a perceptually important [[Pseudo-octave|false octave]], with various degrees of accuracy. | Division of 3/2 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, EDF scales have a perceptually important [[Pseudo-octave|false octave]], with various degrees of accuracy. | ||
Arguments for the utility of 3/2 as a base - whether an equivalence or just a [[period]] - are its being one of the strongest [[consonance]]s after the [[octave]], as well as its use to | Arguments for the utility of 3/2 as a base - whether an equivalence or just a [[period]] - are its being one of the strongest [[consonance]]s after the [[octave]], as well as its use to form structurally important [[pentachord]]s in many musical traditions past and present. | ||
Perhaps the first to divide the perfect fifth was [[Wendy Carlos]] ([http://www.wendycarlos.com/resources/pitch.html ''Three Asymmetric divisions of the octave'']). [[Carlo Serafini]] has also made much use of the alpha, beta and gamma scales. | Perhaps the first to divide the perfect fifth was [[Wendy Carlos]] ([http://www.wendycarlos.com/resources/pitch.html ''Three Asymmetric divisions of the octave'']). [[Carlo Serafini]] has also made much use of the alpha, beta and gamma scales. | ||
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== See also == | == See also == | ||
* [[Relative errors of small EDFs]] | * [[Relative errors of small EDFs]] | ||
* [[Ed9/4]] | |||
[[Category:Edf| ]] <!-- main article --> | [[Category:Edf| ]] | ||
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[[Category:Lists of scales]] | [[Category:Lists of scales]] | ||
[[Category:Acronyms]] | [[Category:Acronyms]] | ||
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