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'''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''.

'''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{{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}}}}.

Revision as of 03:20, 27 July 2026 view source Fredg999 (talk \| contribs) autopatrolled, Bureaucrats, Interface administrators, Sysops 6,849 edits m Move "mistuning" alongside main term as a synonym, move reference to a footnote ← Older edit		Latest revision as of 15:42, 12 August 2026 view source Fredg999 (talk \| contribs) autopatrolled, Bureaucrats, Interface administrators, Sysops 6,849 edits m Punctuation in reference
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	'''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''.		'''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{{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}}}}.		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}}}}.