323/256

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	323/256
Subgroup monzo	2.17.19 [-8 1 1⟩
Size in cents	402.4684¢
Name	octave-reduced 323rd harmonic
Color name	noso 4th, 19o17o4
FJS name	[math]\displaystyle{ \text{d4}^{17,19} }[/math]
Special properties	reduced, reduced harmonic
Tenney norm (log2 nd)	16.3354
Weil norm (log2 max(n, d))	16.6708
Wilson norm (sopfr(nd))	52
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323/256, or the octave-reduced 323rd harmonic, is a 19-limit major third that is close to the 12edo major third. It is constructed by stacking 17/16 and 19/16, two JI intervals that approximate the 12edo minor second and minor third well, respectively. It is flat of the Pythagorean major third by 324/323.