General theory: Difference between revisions

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-<span style="display: block; text-align: right;">[[Teoría_Básica|Español]]</span>
+{{Interwiki
+| de =
+| en = General theory
+| 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 ==
+* Start here: [[Xen concepts for beginners]]
+* [[Interval]]
+* [[Ratio]]
+** [[Ratio math]]
+* [[Cent]]
+* [[Chord]]
+* [[Scale]]
+* [[Mode]]
+* [[Musical notation]]
+* Terminology
+** [[Glossary]]
+** [[Acronyms]]
-=Basics=
+== Core concepts ==
-* [[Ratios|Ratios]]
+* [[Just intonation]]
-* [[cent|Cents]]
+* [[Harmonic series]]
-* [[Chords|Chords]]
+** [[Chord of nature]]
-* [[ScaleIndex|Scales]]
+* [[Equal division of the octave]]
-* [[Notation|Notation]]
+** [[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]]