User:Contribution/Ed13/11: Difference between revisions
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The '''equal division of 13/11''' ('''ed13/11''') is a [[tuning]] obtained by dividing the [[13/11|tridecimal minor third (13/11)]] in a certain number of [[equal]] steps. | |||
ED13/11 tuning systems that accurately represent the intervals 13/12 and 12/11 include: [[23ed13/11]] (0.25 cent error), [[25ed13/11]] (0.25 cent error), and [[48ed13/11]] (0.01 cent error). | ED13/11 tuning systems that accurately represent the intervals 13/12 and 12/11 include: [[23ed13/11]] (0.25 cent error), [[25ed13/11]] (0.25 cent error), and [[48ed13/11]] (0.01 cent error). | ||
[[23ed13/11]], [[25ed13/11]], and [[48ed13/11]] are to the [[Ed13/11|division of 13/11]] what [[21ed6/5]], [[23ed6/5]], and [[44ed6/5]] are to the [[Ed6/5|division of 6/5]] | [[23ed13/11]], [[25ed13/11]], and [[48ed13/11]] are to the [[Ed13/11|division of 13/11]]: | ||
* what [[21ed6/5]], [[23ed6/5]], and [[44ed6/5]] are to the [[Ed6/5|division of 6/5]] | |||
* what [[19ed11/9]], [[21ed11/9]] and [[40ed11/9]] are to the [[Ed11/9|division of 11/9]] | |||
* what [[17ed5/4]], [[19ed5/4]], and [[36ed5/4]] are to the [[Ed5/4|division of 5/4]] | |||
* what [[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]]. | |||
{{todo|improve readability|review|intro|inline=1}} | |||
[[Category:Equal-step tuning]] | [[Category:Equal-step tuning]] | ||
[[Category:Ed13/11]] | [[Category:Ed13/11]] | ||
Revision as of 08:04, 9 January 2025
The equal division of 13/11 (ed13/11) is a tuning obtained by dividing the tridecimal minor third (13/11) in a certain number of equal steps.
ED13/11 tuning systems that accurately represent the intervals 13/12 and 12/11 include: 23ed13/11 (0.25 cent error), 25ed13/11 (0.25 cent error), and 48ed13/11 (0.01 cent error).
23ed13/11, 25ed13/11, and 48ed13/11 are to the division of 13/11:
- what 21ed6/5, 23ed6/5, and 44ed6/5 are to the division of 6/5
- what 19ed11/9, 21ed11/9 and 40ed11/9 are to the division of 11/9
- what 17ed5/4, 19ed5/4, and 36ed5/4 are to the division of 5/4
- what 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.
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Todo: improve readability, review, intro |