128/85

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Interval information
Ratio 128/85
Factorization 27 × 5-1 × 17-1
Monzo [7 0 -1 0 0 0 -1
Size in cents 708.73088¢
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

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.

See also