User:Contribution/Ed9/7: Difference between revisions
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The '''equal division of 9/7''' ('''ed9/7''') is a [[tuning]] obtained by dividing the [[9/7|septimal supermajor third (9/7)]] in a certain number of [[equal]] steps. | The '''equal division of 9/7''' ('''ed9/7''') is a [[tuning]] obtained by dividing the [[9/7|septimal supermajor third (9/7)]] in a certain number of [[equal]] steps. | ||
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[[15ed9/7]], [[17ed9/7]], and [[32ed9/7]] are to the [[Ed9/7|division of 9/7]] what [[13ed4/3]], [[15ed4/3]], and [[28ed4/3]] are to the [[Ed4/3|division of 4/3]], what [[11ed7/5]], [[13ed7/5]], and [[24ed7/5]] are to the [[Ed7/5|division of 7/5]], what [[9edf|9ed3/2]], [[11edf|11ed3/2]], and [[20edf|20ed3/2]] are to the [[EDF|division of 3/2]], what [[7ed5/3]], [[9ed5/3]], and [[16ed5/3]] are to the [[Ed5/3|division of 5/3]], and what [[5edo]], [[7edo]], and [[12edo]] are to the [[EDO|division of 2/1]]. | [[15ed9/7]], [[17ed9/7]], and [[32ed9/7]] are to the [[Ed9/7|division of 9/7]] what [[13ed4/3]], [[15ed4/3]], and [[28ed4/3]] are to the [[Ed4/3|division of 4/3]], what [[11ed7/5]], [[13ed7/5]], and [[24ed7/5]] are to the [[Ed7/5|division of 7/5]], what [[9edf|9ed3/2]], [[11edf|11ed3/2]], and [[20edf|20ed3/2]] are to the [[EDF|division of 3/2]], what [[7ed5/3]], [[9ed5/3]], and [[16ed5/3]] are to the [[Ed5/3|division of 5/3]], and what [[5edo]], [[7edo]], and [[12edo]] are to the [[EDO|division of 2/1]]. | ||
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[[Category:Equal-step tuning]] | [[Category:Equal-step tuning]] | ||
Revision as of 08:02, 9 January 2025
The equal division of 9/7 (ed9/7) is a tuning obtained by dividing the septimal supermajor third (9/7) in a certain number of equal steps.
ED9/7 tuning systems that accurately represent the intervals 9/8 and 8/7 include: 15ed9/7 (0.87 cent error), 17ed7/5 (0.84 cent error), and 32ed7/5 (0.04 cent error).
15ed9/7, 17ed9/7, and 32ed9/7 are to the division of 9/7 what 13ed4/3, 15ed4/3, and 28ed4/3 are to the division of 4/3, what 11ed7/5, 13ed7/5, and 24ed7/5 are to the division of 7/5, what 9ed3/2, 11ed3/2, and 20ed3/2 are to the division of 3/2, what 7ed5/3, 9ed5/3, and 16ed5/3 are to the division of 5/3, and what 5edo, 7edo, and 12edo are to the division of 2/1.