85/64: Difference between revisions

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 {{Infobox Interval
-| JI glyph =
+| Name = septendecimal harmonic fourth, archagall fourth
-| Ratio = 85/64
+| Color name = 17oy4, soyo 4th
-| Monzo = -6 0 1 0 0 0 1
-| Cents = 491.26912
-| Name = septendecimal fourth
-| Sound =
-| Color name =
-| FJS name =
 }}
-'''85/64''', the '''septendecimal fourth''', is a [[17-limit]] interval that closely approximates [[4/3]], from which it differs by [[256/255]].  Because it differs from [[15/8]] by [[24/17]], this interval is an easy substitute for 4/3 in scales where one desires to simultaneously maintain [[Rothenberg propriety]] and ensure that all notes in the scale suggest the Tonic as the virtual fundamental when played simultaneously.
+'''85/64''', the '''septendecimal harmonic fourth''' or '''[[24576/24565#Archagall|archagall]] fourth''', is a [[17-limit]] [[rooted]] interval that comes rather close to [[4/3]], from which it differs by [[256/255]].  Notably, 85/64 is one of two intervals relatively simple intervals that can be used to generate a just version of something resembling a [[superpyth]] diatonic scale, the other being [[128/85]].
 == See also ==