Badness: Difference between revisions

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Complexity and error are both usually treated as undesirable characteristics, but there is a trade-off between them in that very low complexity temperaments (e.g. small [[edo]]s) typically do not have low error, and very low error temperaments (e.g. [[microtemperament]]s) typically do not have low complexity. Badness is a way to combine complexity and error such that a search for low-badness temperaments yields results with a particularly good trade-off between complexity and error.
Complexity and error are both usually treated as undesirable characteristics, but there is a trade-off between them in that very low complexity temperaments (e.g. small [[edo]]s) typically do not have low error, and very low error temperaments (e.g. [[microtemperament]]s) typically do not have low complexity. Badness is a way to combine complexity and error such that a search for low-badness temperaments yields results with a particularly good trade-off between complexity and error.


Several different badness measures are in use, including [[Cangwu badness]], [[TE simple badness]], and [[TE logflat badness]].
Several different badness measures are in use, including [[Cangwu badness]], [[TE simple badness]], and [[TE logflat badness]]. Some also have several normalizing coefficients.  


:'''Note:''' [[Gene Ward Smith|Smith]] [[TE logflat badness]] is the badness appearing on temperament pages, unless stated otherwise.''
{{Note| [[Sintel]]'s [[TE logflat badness]] is generally the badness metric used throughout this wiki. Many old pages still use [[Gene Ward Smith|Smith]]'s; those are being phased out. }}


== External links ==
== External links ==