General theory: Difference between revisions

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{{interwiki
{{Interwiki
| en = General theory
| de =  
| de =  
| en = General Theory
| es = Teoría básica
| es = Teoría Básica
| ja = 一般理論
| ja =  
}}
}}
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 =
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:
* [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.
 
== Basics ==
* [[Interval]]
* [[Ratio]]
* [[Ratio]]
** [[Ratio math]]
** [[Ratio math]]
* [[Cent]]
* [[Cent]]
* [[Chords]]
* [[Chord]]
* [[ScaleIndex|Scales]]
* [[Scale]]
* [[Notation]]
* [[Mode]]
* [[Musical notation]]
* Terminology
** [[Glossary]]
** [[Acronyms]]


= Core Concepts =
== Core concepts ==
* [[Just intonation]]
* [[Just intonation]]
* [[Harmonic series]]
** [[Chord of nature]]
* [[Equal division of the octave]]
** [[Equal-step tuning]] ([[edt]], [[edf]], …)
** [[Well temperament]]
* [[Regular temperaments]]
* [[Regular temperaments]]
* [[Equal-step tuning]]
** [[Diatonic, chromatic, enharmonic, subchromatic]]
* [[Periods and generators]]
* [[EDO]]
* [[EDT]]
* [[MOS scale]]
* [[MOS scale]]
* [[Periodic scale]]
** [[Periods and generators]]
* [[Arithmetic tuning]]
* [[Hexany]]
* [[Delta-rational chord]]
 
== Regular temperament theory (RTT) ==
* [[Monzo]]
* [[Val]]
* [[Mapping]]
* [[Patent val]]
* [[Tempering out]]
* [[Rank and codimension]]
* [[Keenan's explanation of vals]]
* [[Comma pump]]
* [[Comma pump]]
* [[Comma basis]]
* [[Saturation, torsion, and contorsion]]
* [[Dyadic chord]]
* [[Essential tempering comma]]
* [[Graham complexity]]


= Javascript tools =
== Advanced theory ==
* [[Interval calculator]] – a nice online interval calculator tool, shows linear fraction and EDO fraction expansions, too
{{Main| Mathematical theory }}
* [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']
''See also: [[List of music software#Tuning manipulation software .28browser-based.29|List of Music Software#Browser Based]]''
 
= Additional Stuff =
* [[Chord of nature]]
* [[Diatonic, Chromatic, Enharmonic, Subchromatic]]
* Indexes of small 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]]
 
= Advanced Theory =
''Main article: [[Mathematical Theory]]''
 
* [[ABC, High Quality Commas, and Epimericity]]
*[[Benedetti height]]
*[[Cluster temperament]]
*[[Consonant class scale]]
*[[Distributional Evenness]]
*[[Essential tempering commas]]
*[[Generator complexity]]
*[[Graham complexity]]
*[[Kees height]]
*[[Lumma stability]]
*[[Maximum variety]]
*[[Modal UDP Notation]]
*[[Tenney height]]


[[Category:Theory]]
[[Category:Theory]]
[[Category:Todo:review]]