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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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 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.  




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>.
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>.

Revision as of 12:38, 12 June 2020

Interval information
Ratio 959/540
Subgroup monzo 2.3.5.7.137 [-2 -3 -1 1 1
Size in cents 994.2857¢
Name harmonic/Pythagorean/just minor seventh meantone
Color name 137ozy8
FJS name [math]\displaystyle{ \text{dd8}^{7,137}_{5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 18.9822
Weil norm (log2 max(n, d)) 19.8108
Wilson norm (sopfr(nd)) 162
Open this interval in xen-calc

In Just Intonation, 959/540 is the frequency ratio between the 959th and the 540th harmonic.

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


Its factorization into primes is 2-2⋅3-3⋅5-1⋅7⋅137; its FJS name is dd87,1375.