144/125
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| Ratio | 144/125 |
| Factorization | 24 × 32 × 5-3 |
| Monzo | [4 2 -3⟩ |
| Size in cents | 244.96886¢ |
| Names | classic(al) diminished third, triptolemaic diminished third |
| Color name | g33, trigu 3rd |
| FJS name | [math]\text{d3}_{5,5,5}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 14.1357 |
| Weil height (log2 max(n, d)) | 14.3399 |
| Wilson height (sopfr (nd)) | 29 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.5567 bits |
[sound info] | |
| open this interval in xen-calc | |
144/125, the classic diminished third, about 245 cents in size, is a just interval in the 5-limit. It can be obtained by subtracting 6/5, the classic minor third, by 25/24, the classic chroma. It is also the Pythagorean diminished third (65536/59049) flattened by three syntonic commas, which lends itself to the term triptolemaic.
In any kleismic system, it is tuned to an exact semifourth, tempered together with 125/108. The university temperament treats it as a comma.
Approximation
This interval is especially close to the 10th step of 49edo.