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'''Error''' is a measurement of the deviation of an [[interval]] from another interval that it is approximating. The {{w|retronym}} ''absolute error'' is sometimes used to contrast it with [[relative error]].

'''Error''' (also '''mistuning'''<ref>[[Erlich, Paul]]. "[[:File:MiddlePath2015.pdf|A Middle Path: Between Just Intonation and the Equal Temperaments, Part 1]]," ''Xenharmonikôn, An Informal Journal of Experimental Music'' 18 (2006): 159-199.</ref>) is a measurement of the deviation of an [[interval]] from another interval that it is approximating. The {{w|retronym}} ''absolute error'' is sometimes used to contrast it with [[relative error]]. Error is usually signed, with a positive value indicating an overshoot of the target, and a negative value indicating an undershoot. The {{w|absolute value}} of error is called ''unsigned error''.

For example, the [[regular temperament|tempered]] ~3/2 of [[quarter-comma meantone]] is 696.~~578¢~~, while a [[JI|just]] 3/2 is 701.~~955¢~~, so the error of this ~3/2 is 696.~~578¢ -~~ 701.~~955¢~~ = -5.~~377¢.~~

For example, the [[regular temperament|tempered]] ~3/2 of [[quarter-comma meantone]] is 696.578{{c}}, while a [[JI|just]] 3/2 is 701.955{{c}}, so the error of this ~3/2 is {{nowrap|696.578{{c}} − 701.955{{c}} {{=}} −5.377{{c}}}}.

~~In [[Paul Erlich]]'s Middle Path paper, error is called ''mistuning''~~.

== See also ==

* [[Damage]], a measurement of how much an interval deviates from another interval it is approximating: the absolute value of error (that has possibly been weighted)

* [[Damage]], a measurement of how much an interval deviates from another interval it is approximating: the absolute value of error that has possibly been weighted over complexity

* [[Dave Keenan & Douglas Blumeyer's guide to RTT~~: tuning~~ fundamentals#Damage, error, and weight]]: for a discussion of error with respect to damage and weight

* [[Dave Keenan & Douglas Blumeyer's guide to RTT/Tuning fundamentals #Damage, error, and weight]]: for a discussion of error with respect to damage and weight

* [[Error map]]

* [[TE error]]

[[Category:Error| ]]

== References ==

[[Category:Error| ]]

[[Category:Terms]]

@@ Line 1: / Line 1: @@
-'''Error''' is a measurement of the deviation of an [[interval]] from another interval that it is approximating. The {{w|retronym}} ''absolute error'' is sometimes used to contrast it with [[relative error]].
+'''Error''' (also '''mistuning'''<ref>[[Erlich, Paul]]. "[[:File:MiddlePath2015.pdf|A Middle Path: Between Just Intonation and the Equal Temperaments, Part 1]]," ''Xenharmonikôn, An Informal Journal of Experimental Music'' 18 (2006): 159-199.</ref>) is a measurement of the deviation of an [[interval]] from another interval that it is approximating. The {{w|retronym}} ''absolute error'' is sometimes used to contrast it with [[relative error]]. Error is usually signed, with a positive value indicating an overshoot of the target, and a negative value indicating an undershoot. The {{w|absolute value}} of error is called ''unsigned error''.
-For example, the [[regular temperament|tempered]] ~3/2 of [[quarter-comma meantone]] is 696.578¢, while a [[JI|just]] 3/2 is 701.955¢, so the error of this ~3/2 is 696.578¢ - 701.955¢ = -5.377¢.
+For example, the [[regular temperament|tempered]] ~3/2 of [[quarter-comma meantone]] is 696.578{{c}}, while a [[JI|just]] 3/2 is 701.955{{c}}, so the error of this ~3/2 is {{nowrap|696.578{{c}} − 701.955{{c}} {{=}} −5.377{{c}}}}.
-In [[Paul Erlich]]'s Middle Path paper, error is called ''mistuning''.
 == See also ==
-* [[Damage]], a measurement of how much an interval deviates from another interval it is approximating: the absolute value of error (that has possibly been weighted)
+* [[Damage]], a measurement of how much an interval deviates from another interval it is approximating: the absolute value of error that has possibly been weighted over complexity
-* [[Dave Keenan & Douglas Blumeyer's guide to RTT: tuning fundamentals#Damage, error, and weight]]: for a discussion of error with respect to damage and weight
+* [[Dave Keenan & Douglas Blumeyer's guide to RTT/Tuning fundamentals #Damage, error, and weight]]: for a discussion of error with respect to damage and weight
+* [[Error map]]
 * [[TE error]]
-[[Category:Error| ]] <!-- main article -->
+== References ==
+<references/>
+[[Category:Error| ]] <!-- Main article -->
 [[Category:Terms]]