752/729: Difference between revisions

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'''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 [[729/512|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.
'''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 [[729/512|Pythagorean augmented fourth (729/512)]]. Prior to March 2025, it was the formal comma to translate a Pythagorean interval to a nearby quadracesimoseptimal (47-limit) interval in [[Helmholtz–Ellis notation]].


[[Category:Commas named after their interval size]]
[[Category:Commas named after their interval size]]