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127/72: Difference between revisions

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{{Infobox Interval
In [[just intonation]], 127/72 is the frequency ratio between the 127th and the 72th harmonic.
| Ratio = 127/72
| Monzo = -3,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
| Cents = 982.511622396
| Name = harmonic/pythagorean minor seventh meantone
| 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 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.  
It can also be calculated from the [[64/63|septimal comma]]: ((64/63 - 1)/2 + 1)⋅(7/4) = 127/72.




Its factorization into primes is 2<sup>-3</sup>⋅3<sup>-2</sup>⋅127; its FJS name is m7<sup>127</sup>.
{{Infobox Interval
| Name = harmonic/Pythagorean minor seventh meantone
| FJS name = m7^{127}
| Color name = 127o7
}}
Retrieved from "https://en.xen.wiki/w/127/72"