144/125: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Plumtree (talk | contribs)
mNo edit summary
TallKite (talk | contribs)
added color name
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Name = classic diminished third
| Name = classic diminished third
| 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
| Comma = 1
| Comma = 1

Revision as of 02:20, 29 December 2022

Interval information
Ratio 144/125
Factorization 24 × 32 × 5-3
Monzo [4 2 -3
Size in cents 244.9689¢
Name classic diminished third
Color name g33, trigu 3rd
FJS name [math]\displaystyle{ \text{d3}_{5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 14.1357
Weil norm (log2 max(n, d)) 14.3399
Wilson norm (sopfr(nd)) 29
Comma size large

[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