752/729

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Interval information
Ratio 752/729
Subgroup monzo 2.3.47 [4 -6 1⟩
Size in cents 53.7766168¢
Names 47-limit ~quartertone (HEJI)

752/729, or the 47-limit ~quartertone comma (HEJI), is a 2.3.47 subgroup comma. It is the amount by which 47/32 (the 47th harmonic) 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 47-limit (prefix???) interval.

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