144/125: Difference between revisions
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'''144/125''', the '''classic diminished third''', about 245 [[cent]]s 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 [[81/80|syntonic commas]], which lends itself to the term ''triptolemaic''. | '''144/125''', the '''classic diminished third''', about 245 [[cent]]s 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 [[81/80|syntonic commas]], which lends itself to the term ''triptolemaic''. It can additionally be found by finding the difference between a classic diminished fifth ([[36/25]]) and a classic major third ([[5/4]]). | ||
== Approximation == | == Approximation == | ||
Latest revision as of 17:38, 4 August 2026
| Interval information |
triptolemaic diminished third
[sound info]
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. It can additionally be found by finding the difference between a classic diminished fifth (36/25) and a classic major third (5/4).
Approximation
This interval is especially close to the 10th step of 49edo.
Temperaments
In any kleismic system, it is tuned to an exact semifourth, tempered together with 125/108. The university temperament treats it as a comma.