User:Hkm/Sandbox: Difference between revisions

Revision as of 05:17, 19 June 2025 view source Hkm (talk \| contribs) autopatrolled 1,038 edits →Badness Tag: Visual edit ← Older edit		Revision as of 23:36, 19 June 2025 view source Hkm (talk \| contribs) autopatrolled 1,038 edits mNo edit summary Tags: Visual edit Mobile edit Mobile web edit Advanced mobile edit Newer edit →
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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 ~~rank-2~~ 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 + 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.)