Mathematical theory: Difference between revisions
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Rearrange subheadings to be slightly more accurate (still a very long way to go though) |
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Tuning theory can become heavily mathematical, and here are links to some of the pages which wade into deeper waters. | Tuning theory can become heavily mathematical, and here are links to some of the pages which wade into deeper waters. | ||
== | == Scales == | ||
=== Basics === | |||
* [[Periodic scale]] | * [[Periodic scale]] | ||
* [[MOS scales]] | * [[MOS scales]] | ||
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* [[MODMOS scales]] | * [[MODMOS scales]] | ||
* [[Graph-theoretic properties of scales]] | * [[Graph-theoretic properties of scales]] | ||
=== Lattices and Scales === | |||
* [[Transversal]] | |||
* [[Transversal generators]] | |||
* [[Fokker blocks]] | |||
* [[Weak Fokker blocks]] | |||
* [[Minkowski reduced bases for Fokker groups of certain vals]] | |||
* [[Minkowski blocks]] | |||
* [[The Seven Limit Symmetrical Lattices]] | |||
* [[Tablets]] | |||
* [[Hahn distance]] | |||
* [[Comma-based lattices]] | |||
* [[Consonant class scale]] | |||
== Regular Temperaments == | == Regular Temperaments == | ||
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* [[Generator complexity]] | * [[Generator complexity]] | ||
== | == Musical Information Theory == | ||
* [[ | * [[Harmonic entropy]] | ||
* [[ | * [[Categorical Entropy, Mutual Information, and Channel Capacity]] | ||
== Other == | |||
* [[The Riemann zeta function and tuning]] | * [[The Riemann zeta function and tuning]] | ||
* [[Modulatory space]] | * [[Modulatory space]] | ||
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* [[:Category:Theory|Category:Theory]] | * [[:Category:Theory|Category:Theory]] | ||
* [[:Category:Math|Category:Math]] | * [[:Category:Math|Category:Math]] | ||
== Lists of factorizations == | == Lists of factorizations == | ||