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Interval information
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.

See also