General theory: Difference between revisions
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=Basics= | =Basics= | ||
[[Ratios|Ratios]] | * [[Ratios|Ratios]] | ||
* [[cent|Cents]] | |||
[[cent|Cents]] | * [[Chords|Chords]] | ||
* [[ScaleIndex|Scales]] | |||
[[Chords|Chords]] | * [[Notation|Notation]] | ||
[[ScaleIndex|Scales]] | |||
[[Notation|Notation]] | |||
=Core Concepts= | =Core Concepts= | ||
[[JI|JI]] | * [[JI|JI]] | ||
* [[Regular_Temperaments|Regular Temperaments]] | |||
[[Regular_Temperaments|Regular Temperaments]] | * [[Equal_Temperaments|Equal Temperaments]] | ||
* [[periods_and_generators|Periods and Generators]] | |||
[[Equal_Temperaments|Equal Temperaments]] | * [[EDO|EDO]] | ||
* [[edt|EDT]] | |||
[[periods_and_generators|Periods and Generators]] | * [[MOSScales|MOS Scales]] | ||
* [[Periodic_scale|Periodic scale]] | |||
[[EDO|EDO]] | * [[EDL|EDL (Equal divisions of length)]] | ||
* [[AID|Arithmetic irrational divisions]] | |||
[[edt|EDT]] | * [[ADO|ADO (Arithmetic rational divisions)]] | ||
* [[comma_pump|Comma pump]] | |||
[[MOSScales|MOS Scales]] | |||
[[Periodic_scale|Periodic scale]] | |||
[[EDL|EDL (Equal divisions of length)]] | |||
[[AID|Arithmetic irrational divisions]] | |||
[[ADO|ADO (Arithmetic rational divisions)]] | |||
[[comma_pump|Comma pump]] | |||
=How it Works= | =How it Works= | ||
[[monzos|Monzos]] | * [[monzos|Monzos]] | ||
* [[Vals|Vals]] | |||
[[Vals|Vals]] | * [[Mappings|Mappings]] | ||
* [[Patent_val|Patent val]] | |||
[[Mappings|Mappings]] | * [[tempering_out|Tempering Out]] | ||
* [[Rank_and_codimension|Rank and codimension]] | |||
[[Patent_val|Patent val]] | |||
[[tempering_out|Tempering Out]] | |||
[[Rank_and_codimension|Rank and codimension]] | |||
=Personal Explanations= | =Personal Explanations= | ||
[[Mike's_Lectures_On_Regular_Temperament_Theory|Mike's Lectures On Regular Temperament Theory]] | * [[Mike's_Lectures_On_Regular_Temperament_Theory|Mike's Lectures On Regular Temperament Theory]] | ||
* [[Keenan's_explanation_of_vals|Keenan's explanation of vals]] | |||
[[Keenan's_explanation_of_vals|Keenan's explanation of vals]] | |||
=Javascript tools= | =Javascript tools= | ||
[[Interval_calculator|Interval | * [[Interval_calculator|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|Benedetti height]] | * [[Benedetti_height|Benedetti height]] | ||
* [[Kees_Height|Kees height]] | |||
[[Kees_Height|Kees height]] | * [[Tenney_Height|Tenney Height]] | ||
* [[ABC,_High_Quality_Commas,_and_Epimericity|ABC, High Quality Commas, and Epimericity]] | |||
[[Tenney_Height|Tenney Height]] | * [[Graham_complexity|Graham complexity]] | ||
* [[Generator_complexity|Generator complexity]] | |||
[[ABC,_High_Quality_Commas,_and_Epimericity|ABC, High Quality Commas, and Epimericity]] | * [[Lumma_stability|Lumma stability]] | ||
* [[chord_of_nature|chord of nature]] | |||
[[Graham_complexity|Graham complexity]] | * [[Modal_UDP_Notation|Modal UDP Notation]] | ||
* [[Cluster_temperament|Cluster temperament]] | |||
[[Generator_complexity|Generator complexity]] | * [[Consonant_class_scale|Consonant Class Scale]] | ||
* [[Maximum_variety|Maximum variety]] | |||
[[Lumma_stability|Lumma stability]] | * [[Distributional_Evenness|Distributional Evenness]] | ||
* [[Essential_tempering_commas|Essential tempering commas]] | |||
[[chord_of_nature|chord of nature]] | |||
[[Modal_UDP_Notation|Modal UDP Notation]] | |||
[[Cluster_temperament|Cluster temperament]] | |||
[[Consonant_class_scale|Consonant Class Scale]] | |||
[[Maximum_variety|Maximum variety]] | |||
[[Distributional_Evenness|Distributional Evenness]] | |||
[[Essential_tempering_commas|Essential tempering commas]] | |||
=Advanced Theory= | =Advanced Theory= | ||
[[Mathematical_Theory|Mathematical Theory]] | * [[Mathematical_Theory|Mathematical Theory]] | ||
Revision as of 15:46, 12 January 2019
Here are some links to some of the key ideas underlying tuning:
Basics
Core Concepts
- JI
- Regular Temperaments
- Equal Temperaments
- Periods and Generators
- EDO
- EDT
- MOS Scales
- Periodic scale
- EDL (Equal divisions of length)
- Arithmetic irrational divisions
- ADO (Arithmetic rational divisions)
- Comma pump
How it Works
Personal Explanations
Javascript tools
- Interval calculator—a nice online interval calculator tool, shows linear fraction and EDO fraction expansions, too
- An animated Javascript Moment of Symmetry (MOS) ring demo, another untwelve.org creation
- An excellent Firefox browser tuning demo synthesizer, 'Wicksynth'
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