144/95

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Revision as of 22:21, 10 August 2025 by BudjarnLambeth (talk | contribs) (Mathematical interest)
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This page presents a topic of primarily mathematical interest.

While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown.

Interval information
Ratio 144/95
Subgroup monzo 2.3.5.19 [4 2 -1 -1
Size in cents 720.0833¢
Names undevicesimal quasi-tempered 3/5-octave,
undevicesimal 5EDO-esque fifth
Color name 19ug5, nugu 5th
FJS name [math]\displaystyle{ \text{P5}_{5,19} }[/math]
Special properties reduced
Tenney height (log2 nd) 13.7398
Weil height (log2 max(n, d)) 14.3399
Wilson height (sopfr(nd)) 38
Open this interval in xen-calc

144/95 is a wide fifth very close to that of 5edo, differing by only ~1/12 cents. It is sharp of 3/2 by 96/95, flat of 8/5 by 19/18 and flat of 32/21 by 190/189.

See also