171/128

Interval information

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]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~3.84361 bits
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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).

See also

• 256/171 – its octave complement