Mathematical theory: Difference between revisions
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* [[Graph-theoretic properties of scales]] | * [[Graph-theoretic properties of scales]] | ||
=== Lattices and | === Lattices and scale shapes === | ||
* [[Transversal]] | * [[Transversal]] | ||
* [[Transversal generators]] | * [[Transversal generators]] | ||
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* [[Comma-based lattices]] | * [[Comma-based lattices]] | ||
* [[Consonant class scale]] | * [[Consonant class scale]] | ||
* [[Distributional evenness]] | |||
* [[Maximum variety]] | |||
== Regular | == Regular temperaments == | ||
=== Basics === | === Basics === | ||
* [[Monzos and interval space]] | * [[Monzos and interval space]] | ||
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* [[Mathematical theory of regular temperaments]] | * [[Mathematical theory of regular temperaments]] | ||
* [[Mathematical theory of saturation]] | * [[Mathematical theory of saturation]] | ||
* [[Temperament addition]] | |||
* [[ | |||
=== Subgroup Temperaments === | === Subgroup Temperaments === | ||
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* [[Generator complexity]] | * [[Generator complexity]] | ||
== Musical | === Temperament classification === | ||
* [[Planar temperament]] | |||
* [[Cluster temperament]] | |||
== Intervals == | |||
=== Interval metrics === | |||
* [[Height]] | |||
* [[Benedetti height]] | |||
* [[Tenney height]] | |||
* [[Kees height]] | |||
* [[Wilson height]] | |||
* [[Weil height and Tenney-Weil height]] | |||
* [[Abc, high quality commas, and epimericity]] | |||
=== Chords === | |||
* [[Chord complexity]] | |||
* [[Chord matrices]] | |||
* [[Chordal space]] | |||
=== Musical information theory === | |||
* [[Harmonic entropy]] | * [[Harmonic entropy]] | ||
* [[Categorical Entropy, Mutual Information, and Channel Capacity]] | * [[Categorical Entropy, Mutual Information, and Channel Capacity]] | ||
* [[The Riemann zeta function and tuning]] | |||
* [[Maximal dissonance tuning]] | |||
=== Interval classification === | |||
* [[Delta-N ratio]] | |||
* [[Non radical intervals with musical significance]] | |||
* [[Abc, high quality commas, and epimericity|''abc'', high quality commas, and epimericity]] | |||
* [[Don Page comma]] | |||
=== Lists of factorizations === | |||
* [[List of 3-limit factorizations]] | |||
* [[List of 5-limit factorizations]] | |||
* [[List of 7-limit factorizations]] | |||
* [[List of 11-limit factorizations]] | |||
* [[List of 13-limit factorizations]] | |||
== Other == | == Other == | ||
* [[Modulatory space]] | * [[Modulatory space]] | ||
* [[Logarithmic approximants]] | * [[Logarithmic approximants]] | ||
* [[Projection pair]] | * [[Projection pair]] | ||
* [[Lumma stability]] | * [[Lumma stability]] | ||
* [[Modal UDP Notation]] | * [[Modal UDP Notation]] | ||
* [[Structure metric]] | * [[Structure metric]] | ||
* [[Permutation product set]] | * [[Permutation product set]] | ||
* [[:Category:Theory|Category:Theory]] | * [[:Category:Theory|Category:Theory]] | ||
* [[:Category:Math|Category:Math]] | * [[:Category:Math|Category:Math]] | ||
[[Category:Math]] | [[Category:Math]] | ||