161/128: Difference between revisions
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| Ratio = 161/128 | | Ratio = 161/128 | ||
| Monzo = -7 0 0 1 0 0 0 0 1 | | Monzo = -7 0 0 1 0 0 0 0 1 | ||
| Cents = 397. | | Cents = 397.10025 | ||
| Name = just/Pythagorean major third meantone, octave-reduced 161th harmonic | | Name = just/Pythagorean major third meantone, <br>octave-reduced 161th harmonic | ||
| FJS name = M3<sup>7,23</sup> | |||
| Color name = 23oz4 | | Color name = 23oz4 | ||
}} | }} | ||
In | In [[just intonation]], '''161/128''' is the frequency ratio between the 161th and the 128th harmonic. | ||
It is the mean between the [[5/4|just major third]] and the [[81/64|Pythagorean major third]]: (5/4 + 81/64)/2 = 161/128. | It is the mean between the [[5/4|just major third]] and the [[81/64|Pythagorean major third]]: (5/4 + 81/64)/2 = 161/128. | ||
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It can also be calculated from the [[81/80|syntonic comma]]: ((81/80 - 1)/2 + 1)⋅(5/4) = 161/128. | It can also be calculated from the [[81/80|syntonic comma]]: ((81/80 - 1)/2 + 1)⋅(5/4) = 161/128. | ||
[[Category:23-limit]] | |||
[[Category:Third]] | |||
[[Category:Major third]] | |||
Revision as of 11:50, 21 October 2022
| Interval information |
octave-reduced 161th harmonic
reduced harmonic
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.