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 ==

* [[128/85]] – its [[octave complement]]

* [[96/85]] – its [[fifth complement]]

* [[Gallery of just intervals]]

@@ Line 1: / Line 1: @@
 {{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 ==
+* [[128/85]] – its [[octave complement]]
+* [[96/85]] – its [[fifth complement]]
+* [[Gallery of just intervals]]