Ed5/4: Difference between revisions
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The '''equal division of 5/4''' ('''ed5/4''') is a [[tuning]] obtained by dividing the [[5/4|just major third (5/4)]] in a certain number of [[equal]] steps. | The '''equal division of 5/4''' ('''ed5/4''') is a [[tuning]] obtained by dividing the [[5/4|just major third (5/4)]] in a certain number of [[equal]] steps. | ||
== | == Properties == | ||
Division of 5/4 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The question of equivalence is still in its infancy. The utility of 5/4 as a base though, is apparent by providing a novel consonance after 3, and being the [[octave reduction|octave-reduced]] basis for [[5-limit]] harmony. Many, if not all, of these scales have a perceptually important pseudo (false) octave, with various degrees of accuracy. | Division of 5/4 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The question of equivalence is still in its infancy. The utility of 5/4 as a base though, is apparent by providing a novel consonance after 3, and being the [[octave reduction|octave-reduced]] basis for [[5-limit]] harmony. Many, if not all, of these scales have a perceptually important pseudo (false) octave, with various degrees of accuracy. | ||
5/4 is particularly narrow as far as equivalences go and it is difficult to fit consonant chords in it, so we might consider using 5/4<sup>2</sup> = [[25/16]] as the equivalence instead. | 5/4 is particularly narrow as far as equivalences go and it is difficult to fit consonant chords in it, so we might consider using 5/4<sup>2</sup> = [[25/16]] as the equivalence instead. | ||
== Individual pages for | == Individual pages for ed5/4's == | ||
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[[Category:Ed5/4| ]] <!-- main article --> | |||
[[Category:Edonoi]] | |||
[[Category:Major third]] | [[Category:Major third]] | ||
[[Category:Lists of scales]] | [[Category:Lists of scales]] | ||
Revision as of 08:55, 19 May 2024
The equal division of 5/4 (ed5/4) is a tuning obtained by dividing the just major third (5/4) in a certain number of equal steps.
Properties
Division of 5/4 into equal parts does not necessarily imply directly using this interval as an equivalence. The question of equivalence is still in its infancy. The utility of 5/4 as a base though, is apparent by providing a novel consonance after 3, and being the octave-reduced basis for 5-limit harmony. Many, if not all, of these scales have a perceptually important pseudo (false) octave, with various degrees of accuracy.
5/4 is particularly narrow as far as equivalences go and it is difficult to fit consonant chords in it, so we might consider using 5/42 = 25/16 as the equivalence instead.
Individual pages for ed5/4's
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