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 | '''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. | ||
[[Category:Commas named after their interval size]] | [[Category:Commas named after their interval size]] | ||
Revision as of 17:24, 28 November 2024
| Interval information |
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.