User:CompactStar/Ed9/n: Difference between revisions
CompactStar (talk | contribs) Created page with "backing up the page just in the off chance there is any useful theory here An '''ed9/n''' is an equal-step tuning devised by equally dividing an interval of the form 9/n where n is any integer. == Ed9/1 == ''See Ed9.'' == Ed9/2 == 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..." |
m Categories |
||
| (One intermediate revision by one other user not shown) | |||
| Line 1: | Line 1: | ||
backing up the page just in the off chance there is any useful theory here | backing up the mmtm page just in the off chance there is any useful theory here | ||
An '''ed9/n''' is an [[equal-step tuning]] devised by equally dividing an interval of the form 9/n where n is any integer. | An '''ed9/n''' is an [[equal-step tuning]] devised by equally dividing an interval of the form 9/n where n is any integer. | ||
| Line 14: | Line 14: | ||
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. | 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:Ed9/2's| ]] <!-- main article --> | ||
== Ed9/4 == | == Ed9/4 == | ||
| Line 111: | Line 111: | ||
|} | |} | ||
[[Category:Ed9/4| ]] <!-- main article --> | [[Category:Ed9/4's| ]] <!-- main article --> | ||
== Ed9/5 == | == Ed9/5 == | ||
| Line 184: | Line 184: | ||
|} | |} | ||
[[Category:Ed9/5| ]] <!-- main article --> | [[Category:Ed9/5's| ]] <!-- main article --> | ||
== Ed9/7 == | == Ed9/7 == | ||
| Line 198: | Line 198: | ||
* and what [[5edo]], [[7edo]], and [[12edo]] are to the [[EDO|division of 2/1]]. | * and what [[5edo]], [[7edo]], and [[12edo]] are to the [[EDO|division of 2/1]]. | ||
[[Category:Ed9/7| ]] <!-- main article --> | [[Category:Ed9/7's| ]] <!-- main article --> | ||
== Ed9/8 == | == Ed9/8 == | ||
| Line 225: | Line 225: | ||
* [[15ed9/8]] | * [[15ed9/8]] | ||
[[Category:Ed9/8| ]] <!-- main article --> | [[Category:Ed9/8's| ]] <!-- main article --> | ||