161/128
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Ratio
161/128
Subgroup monzo
2.7.23 [-7 1 1⟩
Size in cents
397.1003¢
Names
arithmetic mean major third,
octave-reduced 161th harmonic
Color name
23oz4
FJS name
[math]\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
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.12125 bits
open this interval in xen-calc
| Interval information |
octave-reduced 161th harmonic
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
In just intonation, 161/128, the arithmetic mean major third is the frequency ratio between the 161th and the 128th harmonic. It is the arithmetic 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.