161/128: Difference between revisions
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Contribution (talk | contribs) Created page with "{{Infobox Interval | Ratio = 161/128 | Monzo = -7 0 0 1 0 0 0 0 1 | Cents = 397.100253738 | Name = 161th harmonic octave-reduced ; just/pythagorean major third meantone | Colo..." |
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In Just Intonation, 161/128 is the frequency ratio between the 161th and the 128th harmonic. | 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. | ||
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. | ||
Its factorization into primes is 2<sup>-7</sup>⋅7⋅23 ; its FJS name is M3<sup>7,23</sup>. | Its factorization into primes is 2<sup>-7</sup>⋅7⋅23 ; its FJS name is M3<sup>7,23</sup>. | ||
Revision as of 10:17, 12 June 2020
| Interval information |
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.
Its factorization into primes is 2-7⋅7⋅23 ; its FJS name is M37,23.