171/128
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Ratio
171/128
Subgroup monzo
2.3.19 [-7 2 1⟩
Size in cents
501.423¢
Name
octave-reduced 171st harmonic
Color name
19o4, ino 4th
FJS name
[math]\text{P4}^{19}[/math]
Special properties
reduced,
reduced harmonic
Tenney height (log2 nd)
14.4179
Weil height (log2 max(n, d))
14.8357
Wilson height (sopfr(nd))
39
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~3.84361 bits
open this interval in xen-calc
| Interval information |
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
171/128 is the octave-reduced 171st harmonic. It serves an important role in 8th Octave Overtone Tuning and sometimes other over-1 scales, where it is one of two perfect fourths available (the other being 43/32).