User:Contribution/Ed7/5: Difference between revisions
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The '''equal division of 7/5''' ('''ed7/5''') is a [[tuning]] obtained by dividing the [[7/5|small septimal tritone (7/5)]] in a certain number of [[equal]] steps. | |||
ED7/5 tuning systems that accurately represent the intervals 7/6 and 6/5 include: [[11ed7/5]] (2.09 cent error), [[13ed7/5]] (1.98 cent error), and [[24ed7/5]] (0.11 cent error). | ED7/5 tuning systems that accurately represent the intervals 7/6 and 6/5 include: [[11ed7/5]] (2.09 cent error), [[13ed7/5]] (1.98 cent error), and [[24ed7/5]] (0.11 cent error). | ||
[[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]] | [[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]]. | |||
{{todo|improve readability|improve synopsis|review|inline=1}} | |||
[[Category:Equal-step tuning]] | [[Category:Equal-step tuning]] | ||
Revision as of 08:12, 9 January 2025
The equal division of 7/5 (ed7/5) is a tuning obtained by dividing the small septimal tritone (7/5) in a certain number of equal steps.
ED7/5 tuning systems that accurately represent the intervals 7/6 and 6/5 include: 11ed7/5 (2.09 cent error), 13ed7/5 (1.98 cent error), and 24ed7/5 (0.11 cent error).
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.
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Todo: improve readability, improve synopsis, review |