Complexity: Difference between revisions
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I love this quote and I must add it here to highlight the issue presented in the intro |
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In [[amity]], all of the lower-complexity intervals are more complex.<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_19636.html Yahoo! Tuning Group | ''Complexity terminology wars'']</ref> | |||
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In tuning, '''complexity''' can be said with respect to individual [[interval]]s, [[chord]]s, [[scale]]s as well as the entire [[tuning system]]. While mathematically rigorous measurements of complexity are not available for all contexts and purposes, some of them have been extensively studied, including those of [[regular temperament]]s and of just or tempered [[interval]]s. | In tuning, '''complexity''' can be said with respect to individual [[interval]]s, [[chord]]s, [[scale]]s as well as the entire [[tuning system]]. While mathematically rigorous measurements of complexity are not available for all contexts and purposes, some of them have been extensively studied, including those of [[regular temperament]]s and of just or tempered [[interval]]s. | ||
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* Various [[height]] functions (interval complexity in JI) | * Various [[height]] functions (interval complexity in JI) | ||
* [[Tenney-Euclidean_metrics #Temperamental complexity|Interval temperamental complexity]] (interval complexity in temperaments) | * [[Tenney-Euclidean_metrics #Temperamental complexity|Interval temperamental complexity]] (interval complexity in temperaments) | ||
== Notes == | |||
[[Category:Complexity| ]] <!-- main article --> | [[Category:Complexity| ]] <!-- main article --> | ||