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]] | Division of 5/4 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed5/4 scales have a perceptually important [[Pseudo-octave|false octave]], with various degrees of accuracy. | ||
ED5/4 tuning systems that accurately represent the intervals 10/9 and 9/8 include: [[17ed5/4]] (0.61 cent error), [[19ed5/4]] (0.59 cent error), and [[36ed5/4]] (0.02 cent error). | |||
== Individual pages for | [[17ed5/4]], [[19ed5/4]] and [[36ed5/4]] are to the division of the major third what [[13ed4/3]], [[15ed4/3]], and [[28ed4/3]] are to the division of the fourth, what [[9edf|9ed3/2]], [[11edf|11ed3/2,]] and [[20edf|20ed3/2]] are to the division of the fifth, and what [[5edo]], [[7edo]], and [[12edo]] are to the division of the octave. | ||
== Individual pages for ed5/4's == | |||
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[[Category:Ed5/4's| ]] | |||
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[[Category:Major third]] | [[Category:Major third]] | ||
[[Category:Lists of scales]] | [[Category:Lists of scales]] | ||
{{todo|inline=1|explain edonoi|text=Most people do not think 5/4 sounds like an equivalence, so there must be some other reason why people are dividing it — some property ''other than'' equivalence that makes people want to divide it. Please add to this page an explanation of what that reason is.}} | |||
Latest revision as of 19:39, 1 August 2025
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. Many, though not all, ed5/4 scales have a perceptually important false octave, with various degrees of accuracy.
ED5/4 tuning systems that accurately represent the intervals 10/9 and 9/8 include: 17ed5/4 (0.61 cent error), 19ed5/4 (0.59 cent error), and 36ed5/4 (0.02 cent error).
17ed5/4, 19ed5/4 and 36ed5/4 are to the division of the major third what 13ed4/3, 15ed4/3, and 28ed4/3 are to the division of the fourth, what 9ed3/2, 11ed3/2, and 20ed3/2 are to the division of the fifth, and what 5edo, 7edo, and 12edo are to the division of the octave.
Individual pages for ed5/4's
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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 |
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Todo: explain edonoi Most people do not think 5/4 sounds like an equivalence, so there must be some other reason why people are dividing it — some property other than equivalence that makes people want to divide it. Please add to this page an explanation of what that reason is. |