161/128
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| Ratio | 161/128 |
| Subgroup monzo | 2.7.23 [-7 1 1⟩ |
| Size in cents | 397.10025¢ |
| 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 | |
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.