Ed5/4
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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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. |