125/72
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Ratio | 125/72 |
Factorization | 2^{-3} × 3^{-2} × 5^{3} |
Monzo | [-3 -2 3⟩ |
Size in cents | 955.03114¢ |
Names | classic(al) augmented sixth, triptolemaic augmented sixth |
Color name | y^{3}6, triyo 6th |
FJS name | [math]\text{A6}^{5,5,5}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 13.1357 |
Weil height (log_{2} 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.
Approximation
This interval is especially close to the 39th step of 49edo.