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:
-=Basics=
+== Basics ==
-[[Ratios|Ratios]]
+* Start here: [[Xen concepts for beginners]]
+* [[Interval]]
-[[cent|Cents]]
+* [[Ratio]]
+** [[Ratio math]]
-[[Chords|Chords]]
+* [[Cent]]
+* [[Chord]]
-[[ScaleIndex|Scales]]
+* [[Scale]]
+* [[Mode]]
-[[Notation|Notation]]
+* [[Musical notation]]
+* Terminology
-=Core Concepts=
+** [[Glossary]]
-[[JI|JI]]
+** [[Acronyms]]
-[[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=
-[[monzos|Monzos]]
-[[Vals|Vals]]
-[[Mappings|Mappings]]
-[[Patent_val|Patent val]]
-[[tempering_out|Tempering Out]]
-[[Rank_and_codimension|Rank and codimension]]
-=Personal Explanations=
-[[Mike's_Lectures_On_Regular_Temperament_Theory|Mike's Lectures On Regular Temperament Theory]]
-[[Keenan's_explanation_of_vals|Keenan's explanation of vals]]
-=Javascript tools=
-[[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.toverlamp.org/static/wickisynth/wickisynth.html An excellent Firefox browser tuning demo synthesizer, 'Wicksynth']
-=Additional Stuff=
-[[Benedetti_height|Benedetti height]]
-[[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]]
+== 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]]
-[[Cluster_temperament|Cluster temperament]]
+== Online tools ==
+{{Main| List of music software #Browser-based }}
-[[Consonant_class_scale|Consonant Class Scale]]
+* [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.
+* [[Xenpaper]] – text-based microtonal sequencer, like a notepad. Write down musical ideas and share the link around.
+* [https://www.yacavone.net/xen-calc/ xen-calc] – interval calculator that translates to/from ratios, cents, FJS and color notation, much more too.
-[[Maximum_variety|Maximum variety]]
+== Common scales ==
+* [[:Category: 5-tone scales]]
+* [[: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]]
-[[Distributional_Evenness|Distributional Evenness]]
+== Regular temperament theory (RTT) ==
+* [[Monzo]]
+* [[Val]]
+* [[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]]
-[[Essential_tempering_commas|Essential tempering commas]]
+== Advanced theory ==
+{{Main| Mathematical theory }}
-=Advanced Theory=
+[[Category:Theory]]
-[[Mathematical_Theory|Mathematical Theory]]
+[[Category:Todo:review]]