General theory: Difference between revisions
Jdfreivald (talk | contribs) →Basics: Creating a "Ratio Math" section |
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| de = | |||
| en = General Theory | |||
| es = Teoría Básica | |||
| ja = | |||
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Here are some links to some of the key ideas underlying tuning: | Here are some links to some of the key ideas underlying tuning: | ||
=Basics= | = Basics = | ||
* [[ | * [[Ratio]] | ||
** [[Ratio math]] | ** [[Ratio math]] | ||
* [[ | * [[Cent]] | ||
* [[ | * [[Chords]] | ||
* [[ScaleIndex|Scales]] | * [[ScaleIndex|Scales]] | ||
* [[ | * [[Notation]] | ||
=Core Concepts= | = Core Concepts = | ||
* [[ | * [[Just intonation]] | ||
* [[ | * [[Regular temperaments]] | ||
* [[ | * [[Equal-step tuning]] | ||
* [[ | * [[Periods and generators]] | ||
* [[ | * [[EDO]] | ||
* [[ | * [[EDT]] | ||
* [[ | * [[MOS scale]] | ||
* [[ | * [[Periodic scale]] | ||
* [[EDL|EDL (Equal divisions of length)]] | * [[EDL|EDL (Equal divisions of length)]] | ||
* [[AID|Arithmetic irrational divisions]] | * [[AID|AID (Arithmetic irrational divisions)]] | ||
* [[ADO|ADO (Arithmetic rational divisions)]] | * [[ADO|ADO (Arithmetic rational divisions)]] | ||
* [[ | * [[Comma pump]] | ||
=How it Works= | = How it Works = | ||
* [[ | * [[Monzo]] | ||
* [[ | * [[Val]] | ||
* [[ | * [[Mapping]] | ||
* [[ | * [[Patent val]] | ||
* [[ | * [[Tempering out]] | ||
* [[ | * [[Rank and codimension]] | ||
=Personal Explanations= | = Personal Explanations = | ||
* [[ | * [[Mike's Lectures On Regular Temperament Theory]] | ||
* [[ | * [[Keenan's explanation of vals]] | ||
=Javascript tools= | = Javascript tools = | ||
* [[ | * [[Interval calculator]] – a nice online interval calculator tool, shows linear fraction and EDO fraction expansions, too | ||
* [http://www.untwelve.org/javascript_demos/MOSring.html An animated Javascript Moment of Symmetry (MOS) ring demo, another untwelve.org creation] | * [http://www.untwelve.org/javascript_demos/MOSring.html An animated Javascript Moment of Symmetry (MOS) ring demo, another untwelve.org creation] | ||
* [http://www.toverlamp.org/static/wickisynth/wickisynth.html An excellent Firefox browser tuning demo synthesizer, 'Wicksynth'] | * [http://www.toverlamp.org/static/wickisynth/wickisynth.html An excellent Firefox browser tuning demo synthesizer, 'Wicksynth'] | ||
=Additional Stuff= | = Additional Stuff = | ||
* [[ | * [[Benedetti height]] | ||
* [[ | * [[Kees height]] | ||
* [[ | * [[Tenney height]] | ||
* [[ | * [[ABC, High Quality Commas, and Epimericity]] | ||
* [[ | * [[Graham complexity]] | ||
* [[ | * [[Generator complexity]] | ||
* [[ | * [[Lumma stability]] | ||
* [[ | * [[Chord of nature]] | ||
* [[ | * [[Modal UDP Notation]] | ||
* [[ | * [[Cluster temperament]] | ||
* [[ | * [[Consonant class scale]] | ||
* [[ | * [[Maximum variety]] | ||
* [[ | * [[Distributional Evenness]] | ||
* [[ | * [[Essential tempering commas]] | ||
=Advanced Theory= | = Advanced Theory = | ||
* [[ | * [[Mathematical Theory]] | ||