Mathematical theory: Difference between revisions
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== Regular Temperaments == | == Regular Temperaments == | ||
=== Basics === | === Basics === | ||
* [[Monzos and | * [[Monzos and interval space]] | ||
* [[Vals and | * [[Vals and tuning space]] | ||
* [[Temperament | * [[Temperament mapping matrices]] | ||
* [[Dual list]] | * [[Dual list]] | ||
* [[Mathematical theory of regular temperaments]] | * [[Mathematical theory of regular temperaments]] | ||
* [[Mathematical theory of saturation | * [[Mathematical theory of saturation]] | ||
=== Subgroup Temperaments === | === Subgroup Temperaments === | ||
* [[Subgroup Temperament Families, Relationships, and Genes]] | * [[Subgroup Temperament Families, Relationships, and Genes]] | ||
* [[Smonzos and | * [[Smonzos and svals|Subgroup monzos ("smonzos") and subgroup vals ("svals")]] | ||
* [[Tmonzos and | * [[Tmonzos and tvals|Tempered monzos ("tmonzos") and tempered vals ("tvals")]] | ||
* [[Subgroup | * [[Subgroup basis matrices]] | ||
* [[Meet and | * [[Meet and join]] | ||
* [[Sane and | * [[Sane and insane temperaments]] | ||
* [[k*N subgroups]] | * [[k*N subgroups]] | ||
=== | === Exterior algebra === | ||
* [[Wedgies and | * [[Wedgies and multivals]] | ||
* [[Recoverability]] | * [[Recoverability]] | ||
* [[The dual]] | * [[The dual]] | ||
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=== Temperament Measures and Optimization === | === Temperament Measures and Optimization === | ||
* [[TOP tuning]] | * [[TOP tuning]] | ||
* [[Tenney-Euclidean | * [[Tenney-Euclidean tuning]] | ||
* [[Tenney-Euclidean temperament measures]] | * [[Tenney-Euclidean temperament measures]] | ||
* [[Tenney-Euclidean metrics]] | * [[Tenney-Euclidean metrics]] | ||
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=== Other === | === Other === | ||
* [[The Riemann | * [[The Riemann zeta function and tuning]] | ||
* [[Modulatory space]] | * [[Modulatory space]] | ||
* [[Chordal space]] | * [[Chordal space]] | ||
* [[Logarithmic approximants]] | * [[Logarithmic approximants]] | ||
* [[Don Page comma]] | * [[Don Page comma]] | ||
* [[ | * [[Abc, high quality commas, and epimericity|''abc'', high quality commas, and epimericity]] | ||
* [[Planar | * [[Planar temperament]] | ||
* [[Wilson height]] | * [[Wilson height]] | ||
== Musical Information Theory == | == Musical Information Theory == | ||
* [[Harmonic | * [[Harmonic entropy]] | ||
* [[Categorical Entropy, Mutual Information, and Channel Capacity]] | * [[Categorical Entropy, Mutual Information, and Channel Capacity]] | ||