User:Hkm/Sandbox: Difference between revisions

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== Badness ==
== Badness ==
Let a "step" be any JI interval. We say that is the score of a "step" is equal to 1/(min_cents + (the motion's error in cents)**error_power) * complexity_fondness**(the complexity of the motion) / goodness_measurer. 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 goodness_measurer necessary to get a score of magic_number. (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.)
Let a "step" be any JI interval. We say that is the score of a "step" is equal to 1/(min_cents + (the step's error in cents)**error_power) * complexity_fondness**(the complexity of the motion) / goodness_measurer. 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 goodness_measurer necessary to get a score of magic_number. (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.)