125/72

Interval information

Ratio	125/72
Factorization	2-3 × 3-2 × 53
Monzo	[-3 -2 3⟩
Size in cents	955.0311¢
Names	classic(al) augmented sixth, triptolemaic augmented sixth
Color name	y36, triyo 6th
FJS name	[math]\displaystyle{ \text{A6}^{5,5,5} }[/math]
Special properties	reduced
Tenney height (log2 nd)	13.1357
Weil height (log2 max(n, d))	13.9316
Wilson height (sopfr(nd))	27
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.19613 bits
[sound info]
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125/72, the classic augmented sixth is 5-limit just interval of about 955 cent. It can be obtained by widening 5/3, the classic major sixth, by 25/24, the classic chroma. It is also the Pythagorean augmented sixth (59049/32768) flattened by three syntonic commas, which lends itself to the term triptolemaic.

In any kleismic system, it is tuned to an exact semitwelfth, tempered together with 216/125.

Approximation

This interval is especially close to the 39th step of 49edo.

See also

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