User:BudjarnLambeth/Ed11/2: Difference between revisions

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The '''equal division of 11/2''' ('''ed11/2''') is a [[tuning]] obtained by dividing the [[11/2|undecimal eighteenth (11/2)]] into a number of [[equal]] steps.  
The '''equal division of 11/2''' ('''ed11/2''') is a [[tuning]] obtained by dividing the [[11/2|undecimal eighteenth (11/2)]] into a number of [[equal]] steps.  


== Properties ==
== Properties ==
Division of 11/2 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The question of equivalence has not even been posed yet. Many, though not all, of these scales have a perceptually important [[Pseudo-octave|false octave]], with various degrees of accuracy.
Division of 11/2 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, of these scales have a perceptually important [[Pseudo-octave|false octave]], with various degrees of accuracy.


Ed11/2s are a natural way to equalise and standardise any scale that repeats every 2940 to 2960 [[cents]], or that happens to be finite and simply ends between 2940 and 2960 cents above the [[root]]. It is most likely to be [[empirical tuning]]s that stumble into those properties, so a main use case for ed11/2 is approximating and deconstructing empirical tunings.
Ed11/2s are a natural way to equalise and standardise any scale that repeats every 2940 to 2960 [[cents]], or that happens to be finite and simply ends between 2940 and 2960 cents above the [[root]]. It is most likely to be [[empirical tuning]]s that stumble into those properties, so a main use case for ed11/2 is approximating and deconstructing empirical tunings.