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¢

Names

septendecimal harmonic fourth,
archagall 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 harmonic fourth or archagall fourth, is a 17-limit rooted interval that comes rather close to 4/3, from which it differs by 256/255. Notably, 85/64 is one of two intervals relatively simple intervals that can be used to generate a just version of something resembling a superpyth diatonic scale, the other being 128/85.

85/64

See also