6561/5120
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| Ratio | 6561/5120 |
| Factorization | 2-10 × 38 × 5-1 |
| Monzo | [-10 8 -1⟩ |
| Size in cents | 429.32629¢ |
| Name | retroptolemaic major third |
| Color name | lagu 3rd, ly3 |
| FJS name | [math]\text{M3}_{5}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 25.0016 |
| Weil height (log2 max(n, d)) | 25.3594 |
| Wilson height (sopfr(nd)) | 49 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.20706 bits |
| open this interval in xen-calc | |
6561/5120, the retroptolemaic major third, is a 5-limit interval measuring about 429.32 ¢. It is equal to the Pythagorean major third of 81/64 raised by a syntonic comma (81/80), compared to the just major third 5/4 which is the Pythagorean interval lowered by the syntonic comma. It differs from 41/32, the 41st harmonic, by the unnoticeable comma 6561/6560.