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Interval information
Ratio 125/72
Factorization 2-3 × 3-2 × 53
Monzo [-3 -2 3
Size in cents 955.03114¢
Names classic(al) augmented sixth,
triptolemaic augmented sixth
Color name y36, triyo 6th
FJS name [math]\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]\sqrt{nd}[/math])
~4.19613 bits

[sound info]
open this interval in xen-calc

125/72, the classic augmented sixth is 5-limit just interval of about 955 cent. It can be obtained by adding 5/3, the classic major sixth, by 25/24, the classic chroma. It is also the Pythagorean augmented sixth (59049/32768) sharpened 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.


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

See also