752/729: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
|Ratio = 752/729
| Ratio = 752/729
|Name = 47-limit ~quartertone (HEJI)
| Name = 47-limit ~quartertone (HEJI)
|Color name = s47o2, safoso 2nd
| Color name = s47o2, safoso 2nd
|Comma = yes
| Comma = yes
}}
}}
'''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.
'''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]]