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. | ||
== | == Introduction == | ||
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 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. | ||
Revision as of 15:14, 18 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.
Introduction
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 ED5/4s
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| 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
| 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 |
| 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 |
| 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 |