128/85
Jump to navigation
Jump to search
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]\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
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~3.58692 bits
open this interval in xen-calc
| Interval information |
archagall fifth
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
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.