161/128
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 M3^{7,23}.