752/729

Interval information

Ratio	752/729
Subgroup monzo	2.3.47 [4 -6 1⟩
Size in cents	53.77662¢
Name	47-limit ~quartertone (HEJI)
Color name	s47o2, safoso 2nd
FJS name	[math]\displaystyle{ \text{m2}^{47} }[/math]
Special properties	reduced
Tenney height (log2 nd)	19.0644
Weil height (log2 max(n, d))	19.1092
Wilson height (sopfr(nd))	73
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.44078 bits
Comma size	medium
Open this interval in xen-calc

752/729, or the 47-limit ~quartertone comma (HEJI), is a 2.3.47 subgroup comma. It is the amount by which the octave-reduced 47th harmonic 47/32 exceeds the Pythagorean augmented fourth (729/512). It is significant in Helmholtz-Ellis notation as the formal comma to translate a Pythagorean interval to a nearby quadracesimoseptimal (47-limit) interval.