144/125: Difference between revisions

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{{Infobox Interval

| Name = classic diminished third

| Name = classic(al) diminished third, triptolemaic diminished third

| Color name = g<sup>3</sup>3, trigu 3rd

| Sound = jid_144_125_pluck_adu_dr220.mp3

~~| Comma = 1~~

}}

'''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. ~~In any~~ [[~~kleismic~~]] ~~system~~, ~~it is tuned~~ to ~~an exact semifourth, tempered together with [[125/108]]. The [[university temperament]] treats it as a comma~~.

'''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 ==

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 ==

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 {{Infobox Interval
-| Name = classic diminished third
+| Name = classic(al) diminished third, triptolemaic diminished third
 | Color name = g<sup>3</sup>3, trigu 3rd
 | Sound = jid_144_125_pluck_adu_dr220.mp3
-| Comma = 1
 }}
-'''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. In any [[kleismic]] system, it is tuned to an exact semifourth, tempered together with [[125/108]]. The [[university temperament]] treats it as a comma.
+'''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 ==
 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 ==