Ed6/5: Difference between revisions

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ED6/5 tuning systems that accurately represent the intervals 11/10 and 10/9 include: [[21ed6/5]] (0.33 cent error), [[23ed6/5]] (0.32 cent error), and [[44ed6/5]] (0.01 cent error).
The '''equal division of 6/5''' ('''ed6/5''') is a [[tuning]] obtained by dividing the [[6/5|classic minor third (6/5)]] in a certain number of [[equal]] steps.  


[[21ed6/5]], [[23ed6/5]] and [[44ed6/5]] are to the division of the minor third what [[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.
ED6/5 tuning systems that accurately represent the intervals 12/11 and 11/10 include: [[21ed6/5]] (0.33 cent error), [[23ed6/5]] (0.32 cent error), and [[44ed6/5]] (0.01 cent error).
 
[[21ed6/5]], [[23ed6/5]], and [[44ed6/5]] are to the division of the minor third what:
* [[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.
 
[[Category:Equal-step tuning]]
 
{{todo|inline=1|explain edonoi|text=Most people do not think 6/5 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 03:09, 22 May 2025

The equal division of 6/5 (ed6/5) is a tuning obtained by dividing the classic minor third (6/5) in a certain number of equal steps.

ED6/5 tuning systems that accurately represent the intervals 12/11 and 11/10 include: 21ed6/5 (0.33 cent error), 23ed6/5 (0.32 cent error), and 44ed6/5 (0.01 cent error).

21ed6/5, 23ed6/5, and 44ed6/5 are to the division of the minor third what:

Todo: explain edonoi

Most people do not think 6/5 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.