125/96

Interval information

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]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~4.25387 bits
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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) flattened by three syntonic commas, which lends itself to the term triptolemaic.

See also

• 192/125 – its octave complement
• 144/125 – its fifth complement
• Gallery of just intervals