User:CompactStar/Ed9/2: Difference between revisions

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The '''equal division of 9//2''' ('''ed9/2''') is a [[tuning]] obtained by dividing [[9/2|two octaves and a Pythagorean major second (9/2)]] into a number of [[equal]] steps.  
The '''equal division of 9/2''' ('''ed9/2''') is a [[tuning]] obtained by dividing [[9/2|two octaves and a Pythagorean major second (9/2)]] into a number of [[equal]] steps.  


== Properties ==
== Properties ==
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Incidentally, one way to treat 9/2 as an equivalence is the use of the 9:10:14 chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to [[5/1]], here it takes seven [[14/9]] to get to [[10/9]] (tempering out the comma 215233605/210827008 in the 9/2.5.7 fractional subgroup). This temperament yields 7-, 10-, 17-, and 27-note [[mos scale]]s.
Incidentally, one way to treat 9/2 as an equivalence is the use of the 9:10:14 chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to [[5/1]], here it takes seven [[14/9]] to get to [[10/9]] (tempering out the comma 215233605/210827008 in the 9/2.5.7 fractional subgroup). This temperament yields 7-, 10-, 17-, and 27-note [[mos scale]]s.


[[Category:Ed9/2| ]] <!-- main article -->
[[Category:Edonoi]]
[[Category:Edonoi]]
[[Category:Lists of scales]]