125/72
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| 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 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.