959/540

This page presents a topic of primarily mathematical interest. While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown.

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

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

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.