127/72

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.

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{m7}^{127} }[/math]
Special properties	reduced
Tenney height (log2 nd)	13.1586
Weil height (log2 max(n, d))	13.9774
Wilson height (sopfr(nd))	139
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.18528 bits
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