User:CompactStar/Ed16/9: Difference between revisions

(7 intermediate revisions by 2 users not shown)

Line 1:

~~WIP~~

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.

~~'''ED16~~/9~~''' is the~~ equal ~~division of the the Pythagorean minor seventh (~~[[~~16/9~~]]~~) into n parts~~.

Division of 16/9 into equal parts does not necessarily imply directly using this interval as an [[equivalence]].

~~Division~~ of 16/9 ~~into equal parts can~~ be ~~conceived of as~~ to ~~directly use this interval as an equivalence, or not. The question of~~ [[~~equivalence~~]] ~~has not even been posed yet. 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. An ED16~~/~~9 can be generated by taking every other tone of an~~ [[~~ed4/3~~|~~ED4/3~~]]~~, so even-numbered ED16/9s can also be used for Neo-Medieval harmony and such.~~

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]].

[[~~Category:Todo:expand~~]]

[[Category:~~Todo:cleanup~~]]

[[Category:Ed16/9| ]]

[[Category:Edonoi]]

[[Category:Lists of scales]]

@@ Line 1: / Line 1: @@
-WIP
+{{Editable user page}}
+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.
-'''ED16/9''' is the equal division of the the Pythagorean minor seventh ([[16/9]]) into n parts.
+Division of 16/9 into equal parts does not necessarily imply directly using this interval as an [[equivalence]].
-Division of 16/9 into equal parts can be conceived of as to directly use this interval as an equivalence, or not. The question of [[equivalence]] has not even been posed yet. 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. An ED16/9 can be generated by taking every other tone of an [[ed4/3|ED4/3]], so even-numbered ED16/9s can also be used for Neo-Medieval harmony and such.
+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]].
-[[Category:Todo:expand]]
-[[Category:Todo:cleanup]]
+[[Category:Ed16/9| ]] <!-- main article -->
 [[Category:Edonoi]]
+[[Category:Lists of scales]]