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. | ||
Revision as of 00:57, 19 May 2025
The equal division of 9/2 (ed9/2) is a tuning obtained by dividing two octaves and a Pythagorean major second (9/2) into a number of equal steps.
Properties
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 false octave, with various degrees of accuracy.
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 scales.