Mathematical theory: Difference between revisions
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== Regular temperaments == | == Regular temperaments == | ||
=== Basics === | === Basics === | ||
* [[Mathematical theory of regular temperaments]] | |||
* [[Monzos and interval space]] | * [[Monzos and interval space]] | ||
** [[Fractional monzos]] | |||
* [[Vals and tuning space]] | * [[Vals and tuning space]] | ||
* [[Temperament mapping matrices]] | * [[Temperament mapping matrices]] | ||
* [[Dual list]] | * [[Dual list]] | ||
* [[Mathematical theory of saturation]] | * [[Mathematical theory of saturation]] | ||
* [[Temperament addition]] | * [[Temperament addition]] | ||
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=== Exterior algebra === | === Exterior algebra === | ||
* [[Dave Keenan & Douglas Blumeyer's guide to EA for RTT]] | |||
** ''Mike's note: Douglas and Dave, having their own interpretation of RTT, sometimes use different terminology than the rest of the stuff here, but this page still has some very good insights and is a worthwhile read.'' | |||
* [[Wedgies and multivals]] | * [[Wedgies and multivals]] | ||
* [[Recoverability]] | * [[Recoverability]] | ||
* [[The dual]] | * [[The dual]] | ||
* [[Interior product]] | * [[Interior product]] | ||
=== Temperament Measures and Optimization === | === Temperament Measures and Optimization === | ||
* [[Optimization]] | * [[Optimization]] | ||
* [[Target tuning]] | |||
* [[Cangwu badness]] | |||
* [[Generator complexity]] | |||
* [[TOP tuning]] | * [[TOP tuning]] | ||
* [[BOP tuning]] | |||
* [[Tenney-Euclidean tuning]] | * [[Tenney-Euclidean tuning]] | ||
* [[Tenney-Euclidean temperament measures]] | * [[Tenney-Euclidean temperament measures]] | ||
* [[Tenney-Euclidean metrics]] | * [[Tenney-Euclidean metrics]] | ||
* [[Generalized Tenney norms and Tp interval space]] | * [[Generalized Tenney norms and Tp interval space]] | ||
* [[Generalized Tenney dual norms and Tp tuning space]] | * [[Generalized Tenney dual norms and Tp tuning space]] | ||
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* [[Tp tuning]] | * [[Tp tuning]] | ||
* [[Constrained tuning]] | * [[Constrained tuning]] | ||
* [[Logarithmic approximants]] | * [[Logarithmic approximants]] | ||