127/72: Difference between revisions

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In [[just intonation]], 127/72 is the frequency ratio between the 127th and the 72th harmonic.
It is the mean between the [[7/4|harmonic seventh]] and the [[16/9|Pythagorean minor seventh]]: (7/4 + 16/9)/2 = 127/72.
It can also be calculated from the [[64/63|septimal comma]]: ((64/63 - 1)/2 + 1)⋅(7/4) = 127/72.
{{Infobox Interval
{{Infobox Interval
| Name = harmonic/Pythagorean minor seventh meantone
| Name = harmonic/Pythagorean minor seventh meantone
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| Color name = 127o7
| Color name = 127o7
}}
}}
In Just Intonation, 127/72 is the frequency ratio between the 127th and the 72th harmonic.
It is the mean between the [[7/4|harmonic seventh]] and the [[16/9|Pythagorean minor seventh]]: (7/4 + 16/9)/2 = 127/72.
It can also be calculated from the [[64/63|septimal comma]]: ((64/63 - 1)/2 + 1)⋅(7/4) = 127/72.