96/65

Interval information

Ratio	96/65
Factorization	25 × 3 × 5-1 × 13-1
Monzo	[5 1 -1 0 0 -1⟩
Size in cents	675.1136¢
Name	tridecimal grave fifth tridecimal wolf fifth wilsormic fifth
Color name	thugu 5th, 3ug5
FJS name	[math]\displaystyle{ \text{P5}_{5,13} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	12.6073
Weil norm (log2 max(n, d))	13.1699
Wilson norm (sopfr(nd))	31
Open this interval in xen-calc

96/65 is a grave fifth (subgroup 2.3.5.13) of about 138.6¢. It is flat of the just fifth 3/2 by 65/64 (about 26.8¢), and by the classic grave fifth 40/27 by 324/325 (about 5.33¢) and it is also the difference between 8/5 and 13/12.

Approximation

It is approximated to within about -0.11 cents by the 9-edostep interval of 16edo. It is also very well approximated by the 122-edostep interval 217edo at -0.46¢.

Temperaments

It can be used as a rational generator for mavila, thanks to its great approximation by 16edo, for those interested in Armodue theory.

See also

• 65/48 - its octave complement
• 65/64 – its fifth complement
• 2.3.5.13 subgroup
• Gallery of just intervals