752/729: Difference between revisions

VisualWikitext

@@ Line 1: / Line 1: @@
-{| class="wikitable"
+{{Infobox Interval
-|+Interval information
+| Ratio = 752/729
-|Ratio
+| Name = 47-limit ~quartertone (HEJI)
-|752/729
+| Color name = s47o2, safoso 2nd
-|-
+| Comma = yes
-|[[Smonzos and svals|Subgroup monzo]]
+}}
-|2.3.47 [4 -6 1⟩
+'''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]].
-|-
-|Size in [[Cent|cents]]
+[[Category:Commas named after their interval size]]
-|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.