125/96
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| Ratio | 125/96 |
| Factorization | 2-5 × 3-1 × 53 |
| Monzo | [-5 -1 3⟩ |
| Size in cents | 456.98614¢ |
| Names | classic(al) augmented third, triptolemaic augmented third |
| Color name | y33, triyo 3rd |
| FJS name | [math]\text{A3}^{5,5,5}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 13.5507 |
| Weil height (log2 max(n, d)) | 13.9316 |
| Wilson height (sopfr(nd)) | 28 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.25387 bits |
| open this interval in xen-calc | |
125/96, the classic(al) augmented third or triptolemaic augmented third, is a 5-limit just interval of about 457 cents. It differs from the classic major third 5/4 by 25/24 and from 13/10 by 625/624. It is also the Pythagorean augmented third (177147/131072) sharpened by three syntonic commas, which lends itself to the term triptolemaic.