128/85
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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.