127/72: Difference between revisions

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Created page with "{{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 seven..."
 
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| 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
| 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
| Cents = 982.511622396
| Name = harmonic/pythagorean minor seventh meantone
| Name = harmonic/Pythagorean minor seventh meantone
| Color name = 127o7
| Color name = 127o7
}}
}}

Revision as of 13:41, 12 June 2020

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 norm (log2 nd) 13.1586
Weil norm (log2 max(n, d)) 13.9774
Wilson norm (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.


Its factorization into primes is 2-3⋅3-2⋅127; its FJS name is m7127.