85/64

Interval information

Ratio

85/64

Factorization

2^-6 × 5 × 17

Monzo

[-6 0 1 0 0 0 1⟩

Size in cents

491.2691¢

Name

septendecimal fourth

FJS name

[math]\displaystyle{ \text{P4}^{5,17} }[/math]

Special properties

reduced,
reduced harmonic

Tenney height (log₂ nd)

12.4094

Weil height (log₂ max(n, d))

12.8188

Wilson height (sopfr(nd))

34

Open this interval in xen-calc

85/64, the septendecimal fourth, is a 17-limit interval that closely approximates 4/3, from which it differs by 256/255. Because it differs from 15/8 by 24/17, this interval is an easy, relatively low-prime substitute for 4/3 in scales where one desires to simultaneously maintain Rothenberg propriety and ensure that all notes in the scale suggest the Tonic as the virtual fundamental when played simultaneously.

85/64

See also