144/125: Difference between revisions

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[[Category:Interseptimal]]
[[Category:Interseptimal]]
[[Category:Semifourth]]
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[[Category:Large comma]]
[[Category:Large commas]]
[[Category:University]]
[[Category:University]]

Revision as of 21:45, 20 March 2022

Interval information
Ratio 144/125
Factorization 24 × 32 × 5-3
Monzo [4 2 -3
Size in cents 244.9689¢
Name classic diminished third
FJS name [math]\displaystyle{ \text{d3}_{125} }[/math]
Special properties reduced
Tenney norm (log2 nd) 14.1357
Weil norm (log2 max(n, d)) 14.3399
Wilson norm (sopfr(nd)) 29

[sound info]
Open this interval in xen-calc

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.

See also