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.
 
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).
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).



Revision as of 08:02, 9 January 2025

Todo: improve readability, improve synopsis, review

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.