125/96
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Ratio | 125/96 |
Factorization | 2^{-5} × 3^{-1} × 5^{3} |
Monzo | [-5 -1 3⟩ |
Size in cents | 456.98614¢ |
Names | classic(al) augmented third, triptolemaic augmented third |
Color name | y^{3}3, triyo 3rd |
FJS name | [math]\text{A3}^{5,5,5}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 13.5507 |
Weil height (log_{2} 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.