125/96
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Ratio
125/96
Factorization
2-5 × 3-1 × 53
Monzo
[-5 -1 3⟩
Size in cents
456.9861¢
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
| Interval information |
triptolemaic augmented third
(Shannon, [math]\sqrt{nd}[/math])
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.