85/64
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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
Color name
17oy4, soyo 4th
FJS name
[math]\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
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~3.90123 bits
open this interval in xen-calc
| Interval information |
archagall fourth
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
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.