161/128: Difference between revisions

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Line 3: Line 3:
| Monzo = -7 0 0 1 0 0 0 0 1
| Monzo = -7 0 0 1 0 0 0 0 1
| Cents = 397.100253738
| Cents = 397.100253738
| Name = 161th harmonic octave-reduced ; just/pythagorean major third meantone
| Name = 161th harmonic octave-reduced, just/pythagorean major third meantone
| Color name = 23oz4
| Color name = 23oz4
}}
}}

Revision as of 10:19, 12 June 2020

Interval information
Ratio 161/128
Subgroup monzo 2.7.23 [-7 1 1⟩
Size in cents 397.1003¢
Names 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
Open this interval in xen-calc

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.

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