177147/131072
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| Ratio | 177147/131072 |
| Factorization | 2-17 × 311 |
| Monzo | [-17 11⟩ |
| Size in cents | 521.50501¢ |
| Name | Pythagorean augmented third |
| Color name | sasawa 3rd, ssw3 |
| FJS name | [math]\text{A3}[/math] |
| Special properties | reduced, reduced harmonic |
| Tenney height (log2 nd) | 34.4346 |
| Weil height (log2 max(n, d)) | 34.8692 |
| Wilson height (sopfr(nd)) | 67 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.25989 bits |
| open this interval in xen-calc | |
177147/131072, the Pythagorean augmented third, is a 3-limit interval. It is also called a wolf fourth due to appearing in the circle of fifths in Pythagorean 12-note tuning. It is separated from the classical wolf fourth 27/20 by a schisma. 11edo treats this interval as a comma despite its size.