161/128

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Interval information
Ratio 161/128
Monzo [-7 0 0 1 0 0 0 0 1
Size in cents 397.100253738
Name(s) just/Pythagorean major third meantone, octave-reduced 161th harmonic
Color name 23oz4

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 M37,23.