144/125: Difference between revisions
Jump to navigation
Jump to search
Userminusone (talk | contribs) No edit summary |
Expansion |
||
| Line 1: | Line 1: | ||
{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 144/125 | | Ratio = 144/125 | ||
| Monzo = 4 2 -3 | | Monzo = 4 2 -3 | ||
| Line 10: | Line 9: | ||
}} | }} | ||
'''144/125''', the '''classic diminished third''', about 245 [[cent]]s in size, is a just interval in the [[5-limit]]. [[ | '''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. | ||
This interval is especially close to the 10th step of [[49edo | == Approximation == | ||
This interval is especially close to the 10th step of [[49edo]]. | |||
== See also == | == See also == | ||
* [[125/72]] – its [[octave complement]] | * [[125/72]] – its [[octave complement]] | ||
* [[125/96]] – its [[fifth complement]] | * [[125/96]] – its [[fifth complement]] | ||
| Line 25: | Line 24: | ||
[[Category:Diminished third]] | [[Category:Diminished third]] | ||
[[Category:Interseptimal]] | [[Category:Interseptimal]] | ||
[[Category:Semifourth]] | |||
[[Category:Large comma]] | [[Category:Large comma]] | ||
[[Category: | [[Category:University]] | ||
[[Category:Pages with internal sound examples]] | [[Category:Pages with internal sound examples]] | ||
Revision as of 22:29, 7 November 2021
| Interval information |
[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. 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.