Complexity: Difference between revisions

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There is nothing prohibiting ultra-low badness temperaments from existing, it's just extremely rare
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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>
In [[amity]], all of the lower-complexity intervals are more complex.<ref group="note">[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_19636.html Yahoo! Tuning Group | ''Complexity terminology wars'']</ref>
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Note that the concept of complexity applies not only to [[rank-2 temperament]]s, but temperaments of any rank. For higher-rank temperaments, the lattice is a higher-dimensional space, so there could be different ways of measuring the area/volume/etc. that a chord takes up.
Note that the concept of complexity applies not only to [[rank-2 temperament]]s, but temperaments of any rank. For higher-rank temperaments, the lattice is a higher-dimensional space, so there could be different ways of measuring the area/volume/etc. that a chord takes up.


See [[Dave Keenan & Douglas Blumeyer's guide to RTT: alternative complexities]] for an extensive discussion of interval complexity functions used in regular temperament theory.
See [[Dave Keenan & Douglas Blumeyer's guide to RTT/Alternative complexities]] for an extensive discussion of interval complexity functions used in regular temperament theory.


== Complexity measures ==
== Complexity measures ==
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== Notes ==
== Notes ==
<references group="note" />


[[Category:Complexity| ]] <!-- main article -->
[[Category:Complexity| ]] <!-- Main article -->