User:CompactStar/Ed16/9: Difference between revisions
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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. | 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. | ||
Division of 16/9 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The | 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 [[12edo|10\12]] into [[JI]]. | |||
{{Todo|inline=1|improve synopsis}} | {{Todo|inline=1|improve synopsis}} | ||
Revision as of 01:42, 25 April 2025
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.
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Todo: improve synopsis |