User:BudjarnLambeth/Ed13/4: Difference between revisions

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The '''equal division of 13/4''' ('''ed13/4''') is a [[tuning]] obtained by dividing the [[13/4|tridecimal neutral thirteenth (13/4)]] into a number of [[equal]] steps.  
The '''equal division of 13/4''' ('''ed13/4''') is a [[tuning]] obtained by dividing the [[13/4|tridecimal neutral thirteenth (13/4)]] into a number of [[equal]] steps.  


== Properties ==
== Properties ==
Division of 13/4 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed13/4 scales have a perceptually important false octave, with various degrees of accuracy.
Division of 13/4 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed13/4 scales have a perceptually important [[Pseudo-octave|false octave]], with various degrees of accuracy.


Equivalence aside, the structural significance of thirteenths like 13/4 is apparent by being the the top of the upper structure of jazz voicings, as well as a fairly trivial point to split the difference between the [[3/1|tritave]] and the [[4/1|double octave]].
Equivalence aside, the structural significance of thirteenths like 13/4 is apparent by being the the top of the upper structure of jazz voicings, as well as a fairly trivial point to split the difference between the [[3/1|tritave]] and the [[4/1|double octave]].
Ed13/4s are in the region where they may experience [[structural beating]] with the interval [[3/1]].


== Notable ed13/4s==
== Notable ed13/4s==