171/128
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| Ratio | 171/128 |
| Subgroup monzo | 2.3.19 [-7 2 1⟩ |
| Size in cents | 501.42302¢ |
| 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 | |
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).