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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:
If you are new to tuning theory looking for an overview, see [[Xen concepts for beginners]] and various others in our collection of [[guides]].


=Basics=
If you are looking for tools to start playing microtonal music, see [[List of music software]], but we would like to highlight these, which will aid your study of tuning theory:
[[Ratios|Ratios]]
* [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.


[[cent|Cents]]
== Basics ==
* [[Interval]]
* [[Ratio]]
** [[Ratio math]]
* [[Cent]]
* [[Chord]]
* [[Scale]]
* [[Mode]]
* [[Musical notation]]
* Terminology
** [[Glossary]]
** [[Acronyms]]


[[Chords|Chords]]
== 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]]


[[ScaleIndex|Scales]]
== 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]]


[[Notation|Notation]]
== Advanced theory ==
{{Main| Mathematical theory }}


=Core Concepts=
[[Category:Theory]]
[[JI|JI]]
[[Category:Todo:review]]
 
[[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]]
 
[[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=
[[Mathematical_Theory|Mathematical Theory]]

Latest revision as of 10:04, 18 September 2026

Here are some links to some of the key ideas underlying tuning.

If you are new to tuning theory looking for an overview, see Xen concepts for beginners and various others in our collection of guides.

If you are looking for tools to start playing microtonal music, see List of music software, but we would like to highlight these, which will aid your study of tuning theory:

  • 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.
  • xen-calc – interval calculator that translates to/from ratios, cents, FJS and color notation, much more too.

Basics

Core concepts

Regular temperament theory (RTT)

Advanced theory

Main article: Mathematical theory
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