Complexity: Difference between revisions

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Complexity of an interval in a temperament: This line is not related to the notion of complexity of an interval in a temperament but to height functions on JI intervals, moved to https://en.xen.wiki/w/Height#Examples_of_height_functions
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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.


== Complexity measures ==
== Complexity measures ==