161/128

Interval information

Ratio	161/128
Subgroup monzo	2.7.23 [-7 1 1⟩
Size in cents	397.1003¢
Name	161th harmonic octave-reduced ; just/pythagorean major third meantone
Color name	23oz4
FJS name	[math]\displaystyle{ \text{M3}^{7,23} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	14.3309
Weil height (log2 max(n, d))	14.6618
Wilson height (sopfr(nd))	44
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In Just Intonation, 161/128 is the frequency ratio between the 161th and the 128th harmonic.

It is the mean between the just major third and the Pythagorean major third : (5/4 + 81/64)/2 = 161/128.

It can also be calculated from the syntonic comma : ((81/80 - 1)/2 + 1)⋅(5/4) = 161/128.

Its factorization into primes is 2^-7⋅7⋅23 ; its FJS name is M3^7,23.