Harrison's comma: Difference between revisions

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 {{Infobox Interval
-| JI glyph =
 | Ratio = 59049/57344
-| Monzo = -13 10 0 -1
-| Cents = 50.72410
 | Name = Harrison's comma
-| Color name =
+| Color name = Lr-2, Laru comma
-| FJS name =
+| Comma = yes
-| Sound =
 }}
-'''59049/57344''', or Harrison's [[Comma|comma]], is the amount by which ten [[3/2]]s exceed [[7/4]] (all octave-reduced). In other words, (3/2)<sup>10</sup> = 7 ⋅ 59049/57344. It is tempered out in [[Meantone family|septimal meantone]], where ten generators is mapped to 7/4.
+'''59049/57344''', or '''Harrison's comma''', is the amount by which ten [[3/2]]'s exceed [[7/4]] (all octave-reduced). In other words, (3/2)<sup>10</sup> = 7 ⋅ 59049/57344. It factors into simpler [[comma]]s as ([[81/80]])<sup>2</sup>([[225/224]]), that is, two syntonic commas and a marvel comma.
-[[Category:Medium comma]]
+Tempering out this comma will map the 7/4 to the augmented sixth (e.g. C-A♯), and the only notable 7-limit temperament that does that is [[septimal meantone]].
+[[Category:Quartertone]]
+[[Category:Meantone]]
+[[Category:Commas named after individuals]]
+{{todo|add etymology|comment=Who was Harrison?}}