161/128: Difference between revisions
m Normalising usage of Infobox Interval |
Mean -> arithmetic mean |
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{{Infobox Interval | {{Infobox Interval | ||
| Name = | | Name = arithmetic mean major third, octave-reduced 161th harmonic | ||
| Color name = 23oz4 | | Color name = 23oz4 | ||
}} | }} | ||
In [[just intonation]], '''161/128''' is the frequency ratio between the 161th and the 128th harmonic. | 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 [[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. | ||