Ed8/3: Difference between revisions

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Division of 8/3 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed8/3 scales have a perceptually important [[Pseudo-octave|false octave]], with various degrees of accuracy.  
Division of 8/3 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed8/3 scales have a perceptually important [[Pseudo-octave|false octave]], with various degrees of accuracy.  


The eleventh is the highest [[period]] where composers do not need to go beyond the false octave just to have a reasonably complete chordal harmony. The structural utility of 8/3 or another eleventh as a period may be undermined, though, by the fact that 8/3 is the [[Glossary#A|avoid note]] in a major modality. This matters less in Mixolydian than it does in Ionian given that the former is the natural dominant scale anyway.
The eleventh is the highest [[period]] where composers do not need to go beyond the false octave just to have a reasonably complete chordal harmony. The structural utility of 8/3 or another eleventh as a period may be undermined, though, by the fact that 8/3 is the {{w|avoid note}} in a major modality. This matters less in Mixolydian than it does in Ionian given that the former is the natural dominant scale anyway.


One approach to ed8/3 tunings is the use of the 3:4:5:6:(8) chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in [[meantone]].  
One approach to ed8/3 tunings is the use of the 3:4:5:6:(8) chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in [[meantone]].


== Joseph Ruhf's approach ==
== Joseph Ruhf's approach ==
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* Perfect Ionian through Pluperfect/Abundant Phrygian[9i]: Montréal
* Perfect Ionian through Pluperfect/Abundant Phrygian[9i]: Montréal


[[Category:Ed8/3| ]] <!-- main article -->
[[Category:Ed8/3's| ]]
[[Category:Edonoi]]
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[[Category:Lists of scales]]
[[Category:Lists of scales]]




{{todo|inline=1|review|cleanup|improve layout}}
{{todo|inline=1|cleanup|explain edonoi|text=Most people do not think 8/3 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... The page also needs a general overall cleanup.}}