959/540: Difference between revisions

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Created page with "{{Infobox Interval | Ratio = 959/540 | Monzo = -2,-3,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1 | Cents = 994.285689561 | Name = harmonic/Pythagorean/just..."
 
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{{Mathematical interest}}
{{Infobox Interval
{{Infobox Interval
| Ratio = 959/540
| Monzo = -2,-3,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
| Cents = 994.285689561
| Name = harmonic/Pythagorean/just minor seventh meantone
| Name = harmonic/Pythagorean/just minor seventh meantone
| Color name = 137ozy8
| Color name = 137ozy8
}}
}}


In Just Intonation, 959/540 is the frequency ratio between the 959th and the 540th harmonic.
In [[just intonation]], 959/540 is the frequency ratio between the 959th and the 540th [[harmonic]]. It is a [[minor seventh]].


It is the mean between the [[7/4|harmonic minor seventh]], the [[16/9|Pythagorean minor seventh]] and the [[9/5|just minor seventh]]: (7/4 + 16/9 + 9/5)/3 = 959/540.  
It is the mean between the [[7/4|harmonic seventh]], the [[16/9|Pythagorean minor seventh]] and the [[9/5|just minor seventh]]: (7/4 + 16/9 + 9/5)/3 = 959/540.


 
[[Category:Seventh]]
Its factorization into primes is 2<sup>-2</sup>⋅3<sup>-3</sup>⋅5<sup>-1</sup>⋅7⋅137; its FJS name is dd8<sup>7,137</sup><sub>5</sub>.
[[Category:Minor seventh]]