959/540: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Plumtree (talk | contribs)
m Normalising usage of Infobox Interval
BudjarnLambeth (talk | contribs)
m Link to just intonation
Line 4: Line 4:
}}
}}


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 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.

Revision as of 04:14, 19 January 2025

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.