User:CompactStar/Ed16/9: Difference between revisions

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The '''equal division of 16/9''' ('''ed16/9''') is a [[tuning]] obtained by dividing the [[16/9|Pythagorean minor seventh (16/9)]] in a certain number of [[equal]] steps. An ed16/9 can be generated by taking every other tone of an [[ed4/3]], so even-numbered ed16/9's are integer ed4/3's.  
The '''equal division of 16/9''' ('''ed16/9''') is a [[tuning]] obtained by dividing the [[16/9|Pythagorean minor seventh (16/9)]] in a certain number of [[equal]] steps. An ed16/9 can be generated by taking every other tone of an [[ed4/3]], so even-numbered ed16/9's are integer ed4/3's.  


Division of 16/9 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The utility of 16/9 (or another seventh) as a base though, is apparent by being used at the base of so much modern tonal harmony.  
Division of 16/9 into equal parts does not necessarily imply directly using this interval as an [[equivalence]].  
 
The structural importance of 16/9 is suggested by its being the most common width for a [[tetrad]] in Western harmony, though it could be argued that this distinction belongs instead to [[7/4]] or [[9/5]] depending how one converts [[12edo|10\12]] into [[JI]].


{{Todo|inline=1|improve synopsis}}
{{Todo|inline=1|improve synopsis}}