User:CompactStar/Ed9/2: Difference between revisions

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== Properties ==

Division of 9/2 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 false octave, with various degrees of accuracy.

Division of 9/2 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed9/2 scales have a perceptually important [[Pseudo-octave|false octave]], with various degrees of accuracy.

~~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.

One approach to ed9/2 tunings 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| ]]

[[Category:Edonoi]]

[[Category:Lists of scales]]

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 == Properties ==
-Division of 9/2 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 false octave, with various degrees of accuracy.
+Division of 9/2 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed9/2 scales have a perceptually important [[Pseudo-octave|false octave]], with various degrees of accuracy.
-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.
+One approach to ed9/2 tunings 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:Lists of scales]]