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== Badness ==
== Badness ==
We say that is the score of a "step" is equal to 1/(min_cents + sqrt(the motion's error in cents)) * badness_penalty**(the complexity of the motion). We then say that the score of a "path" is equal to the product of the scores of the steps. The badness of a temperament is equal to the sum of the scores of all paths that reach the original interval. (This works for irregular and regular temperaments. It also works for scales without JI interpretations, because for every step we can try every JI interpretation.)
We say that is the score of a "step" is equal to 1/(min_cents + (the motion's error in cents)) * badness_penalty**(the complexity of the motion) / critical_divisor. We then say that the score of a "path" is equal to the product of the scores of the steps. The score of a temperament is equal to the sum of the scores of all paths that reach the original interval times those path lengths. The goodness of a temperament is the critical_divisor necessary to get a score of 2. (This also works for scales without JI interpretations; we assign a JI interpretation to each pair of notes and compute the goodness of the best assignment.)