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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]]. | ||
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¢ | 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¢}}. | ||
In [[Paul Erlich]]'s Middle Path paper, error is called ''mistuning''. | In [[Paul Erlich]]'s Middle Path paper, error is called ''mistuning''. | ||
Revision as of 17:57, 20 August 2024
Error is a measurement of the deviation of an interval from another interval that it is approximating. The retronym absolute error is sometimes used to contrast it with relative error.
For example, the tempered ~3/2 of quarter-comma meantone is 696.578¢, while a just 3/2 is 701.955¢, so the error of this ~3/2 is 696.578¢ − 701.955¢ = −5.377¢.
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)
- 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
- TE error