144/125: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = classic(al) diminished third, triptolemaic diminished third | |||
| Color name = g<sup>3</sup>3, trigu 3rd | |||
| Name = classic diminished third | |||
| Color name = | |||
| Sound = jid_144_125_pluck_adu_dr220.mp3 | | Sound = jid_144_125_pluck_adu_dr220.mp3 | ||
}} | }} | ||
'''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. | '''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''. | ||
== Approximation == | == Approximation == | ||
This interval is especially close to the 10th step of [[49edo]]. | 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]]. | |||
== See also == | == See also == | ||
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* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:Third]] | [[Category:Third]] | ||
[[Category:Diminished third]] | [[Category:Diminished third]] | ||
[[Category:Interseptimal]] | [[Category:Interseptimal intervals]] | ||
[[Category:Semifourth]] | [[Category:Semifourth]] | ||
[[Category:University]] | [[Category:University]] | ||