144/125: Difference between revisions
Jump to navigation
Jump to search
m Moving from Category:Interseptimal to Category:Interseptimal intervals using Cat-a-lot |
+name and explain the idea behind them; remove comma tag cuz it's pretentious |
||
| Line 1: | Line 1: | ||
{{Infobox Interval | {{Infobox Interval | ||
| Name = classic diminished third | | Name = classic(al) diminished third, triptolemaic diminished third | ||
| Color name = g<sup>3</sup>3, trigu 3rd | | Color name = g<sup>3</sup>3, trigu 3rd | ||
| 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. 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''. | ||
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 == | == Approximation == | ||
Revision as of 06:46, 13 July 2023
| 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.
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.