127/72: Difference between revisions

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m Normalising usage of Infobox Interval
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{{Infobox Interval
{{Infobox Interval
| 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
| Name = harmonic/Pythagorean minor seventh meantone
| Color name = 127o7
| Color name = 127o7
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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>.

Revision as of 11:39, 25 October 2022

Interval information
Ratio 127/72
Subgroup monzo 2.3.127 [-3 -2 1⟩
Size in cents 982.5116¢
Name harmonic/Pythagorean minor seventh meantone
Color name 127o7
FJS name [math]\displaystyle{ \text{dd8}^{127} }[/math]
Special properties reduced
Tenney height (log2 nd) 13.1586
Weil height (log2 max(n, d)) 13.9774
Wilson height (sopfr(nd)) 139
Open this interval in xen-calc

In Just Intonation, 127/72 is the frequency ratio between the 127th and the 72th harmonic.

It is the mean between the harmonic seventh and the Pythagorean minor seventh: (7/4 + 16/9)/2 = 127/72.

It can also be calculated from the septimal comma: ((64/63 - 1)/2 + 1)⋅(7/4) = 127/72.

Retrieved from "https://en.xen.wiki/index.php?title=127/72&oldid=97957"