752/729
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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]\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]\sqrt{nd}[/math])
~4.44078 bits
Comma size
medium
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
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.