Error: Difference between revisions

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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 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¢ − 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''.
In [[Paul Erlich]]'s [[A Middle Path|Middle Path paper]], error is called ''mistuning''.


== See also ==
== 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]]
* [[TE error]]


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