User:CompactStar/Ed16/9: Difference between revisions

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Created page with "WIP '''ED16/9''' is the equal division of the the Pythagorean minor seventh (16/9) into n parts. Division of 16/9 into equal parts can be conceived of as to directly use..."
 
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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. Given any odd-numbered [[Ed4/3|ED4/3]], an ED16/9 can be generated by taking every other tone of the ED4/3, so ED16/9 can also be used for Neo-Gothic 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:Ed16/9| ]] <!-- main article -->
[[Category:Edonoi]]
[[Category:Lists of scales]]

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The equal division of 16/9 (ed16/9) is a tuning obtained by dividing the 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.

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

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 10\12 into JI.