Error: Difference between revisions

+ *unsigned error*
m Move "mistuning" alongside main term as a synonym, move reference to a footnote
 
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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 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''.  
'''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 {{nowrap|696.578{{c}} − 701.955{{c}} {{=}} −5.377{{c}}}}.
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 [[A Middle Path|Middle Path paper]], error is called ''mistuning''.


== See also ==
== See also ==
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* [[Error map]]
* [[Error map]]
* [[TE error]]
* [[TE error]]
== References ==
<references/>


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