128/85

Interval information

Ratio

128/85

Factorization

2⁷ × 5^-1 × 17^-1

Monzo

[7 0 -1 0 0 0 -1⟩

Size in cents

708.7309¢

Names

septendecimal subharmonic fifth,
archagall fifth

Color name

17ug5, sugu 5th

FJS name

[math]\displaystyle{ \text{P5}_{5,17} }[/math]

Special properties

reduced,
reduced subharmonic

Tenney height (log₂ nd)

13.4094

Weil height (log₂ max(n, d))

14

Wilson height (sopfr(nd))

36

Open this interval in xen-calc

128/85, the septendecimal subharmonic fifth or archagall fifth, is a 17-limit uprooted interval that comes rather close to 3/2, from which it differs by 256/255. Notably, 128/85 is one of two relatively simple intervals that can be used to generate a just version of something resembling a superpyth diatonic scale, the other being 85/64.

128/85

See also