General theory: Difference between revisions

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<span style="display: block; text-align: right;">[[Teoría_Básica|Español]]</span>
{{interwiki
 
| en = General theory
| de =  
| es = Teoría Básica
| ja = 一般理論
}}
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 ==
* [[Ratios|Ratios]]
* Start here: [[Xen concepts for beginners]]
* [[Interval]]
* [[Ratio]]
** [[Ratio math]]
** [[Ratio math]]
* [[cent|Cents]]
* [[Cent]]
* [[Chords|Chords]]
* [[Chord]]
* [[ScaleIndex|Scales]]
* [[Scale]]
* [[Notation|Notation]]
* [[Mode]]
* [[Musical notation]]
* Terminology
** [[Glossary]]
** [[Acronyms]]
 
== Core concepts ==
* [[Just intonation]]
* [[Harmonic series]]
** [[Chord of nature]]
* [[Equal division of the octave]]
** [[Equal-step tuning]] ([[edt]], [[edf]], …)
** [[Well temperament]]
* [[Regular temperaments]]
** [[Diatonic, chromatic, enharmonic, subchromatic]]
* [[MOS scale]]
** [[Periods and generators]]
* [[Hexany]]
* [[Delta-rational chord]]


=Core Concepts=
== Online tools ==
* [[JI|JI]]
{{Main| List of music software #Browser-based }}
* [[Regular_Temperaments|Regular Temperaments]]
* [[Equal_Temperaments|Equal Temperaments]]
* [[periods_and_generators|Periods and Generators]]
* [[EDO|EDO]]
* [[edt|EDT]]
* [[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=
* [https://scaleworkshop.plainsound.org/ Scale Workshop] – scale-creation site by [[Lumi Pakkanen]]. Allows playing via QWERTY computer keyboard. Can also export .scl and .kbm files.
* [[monzos|Monzos]]
* [[Xenpaper]] – text-based microtonal sequencer, like a notepad. Write down musical ideas and share the link around.
* [[Vals|Vals]]
* [https://www.yacavone.net/xen-calc/ xen-calc] – interval calculator that translates to/from ratios, cents, FJS and color notation, much more too.
* [[Mappings|Mappings]]
* [[Patent_val|Patent val]]
* [[tempering_out|Tempering Out]]
* [[Rank_and_codimension|Rank and codimension]]


=Personal Explanations=
== Common scales ==
* [[Mike's_Lectures_On_Regular_Temperament_Theory|Mike's Lectures On Regular Temperament Theory]]
* [[:Category: 5-tone scales]]
* [[Keenan's_explanation_of_vals|Keenan's explanation of vals]]
* [[:Category: 6-tone scales]]
* [[:Category: 7-tone scales]]
* [[:Category: 8-tone scales]]
* [[:Category: 9-tone scales]]
* [[:Category: 10-tone scales]]
* [[:Category: 11-tone scales]]
* [[:Category: 12-tone scales]]


=Javascript tools=
== Regular temperament theory (RTT) ==
* [[Interval_calculator|Interval calculator—a nice online interval calculator tool, shows linear fraction and EDO fraction expansions, too]]
* [[Monzo]]
* [http://www.untwelve.org/javascript_demos/MOSring.html An animated Javascript Moment of Symmetry (MOS) ring demo, another untwelve.org creation]
* [[Val]]
* [http://www.toverlamp.org/static/wickisynth/wickisynth.html An excellent Firefox browser tuning demo synthesizer, 'Wicksynth']
* [[Mapping]]
* [[Patent val]]
* [[Tempering out]]
* [[Rank and codimension]]
* [[Keenan's explanation of vals]]
* [[Comma pump]]
* [[Comma basis]]
* [[Saturation, torsion, and contorsion]]
* [[Dyadic chord]]
* [[Essential tempering comma]]
* [[Graham complexity]]


=Additional Stuff=
== Advanced theory ==
* [[Benedetti_height|Benedetti height]]
{{Main| Mathematical theory }}
* [[Kees_Height|Kees height]]
* [[Tenney_Height|Tenney Height]]
* [[ABC,_High_Quality_Commas,_and_Epimericity|ABC, High Quality Commas, and Epimericity]]
* [[Graham_complexity|Graham complexity]]
* [[Generator_complexity|Generator complexity]]
* [[Lumma_stability|Lumma stability]]
* [[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=
[[Category:Theory]]
* [[Mathematical_Theory|Mathematical Theory]]
[[Category:Todo:review]]