General theory: Difference between revisions

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m Added links to the categories for 5-, 6-, 7-, 8-, 9-, and 10-tone scales, in order to place more emphasis on those kinds of scales (since in the "Wikifutures" page one of the accessibility goals for the wiki is to put more emphasis on those sizes of scales)
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{{interwiki
{{interwiki
| en = General theory
| de =  
| de =  
| en = General Theory
| es = Teoría Básica
| es = Teoría Básica
| ja =  
| 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 ==
* Start here: [[Xen concepts for beginners]]
* [[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]]
* [[Comma pump]]
* [[Delta-rational chord]]
 
== Online tools ==
{{Main| List of music software #Browser-based }}
 
* [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.


= Javascript tools =
== Common scales ==
* [[Interval calculator]] – a nice online interval calculator tool, shows linear fraction and EDO fraction expansions, too
* [[:Category: 5-tone scales]]
* [http://www.untwelve.org/javascript_demos/MOSring.html An animated Javascript Moment of Symmetry (MOS) ring demo, another untwelve.org creation]
* [[:Category: 6-tone scales]]
* [http://www.toverlamp.org/static/wickisynth/wickisynth.html An excellent Firefox browser tuning demo synthesizer, 'Wicksynth']
* [[:Category: 7-tone scales]]
''See also: [[List of music software#Tuning manipulation software .28browser-based.29|List of Music Software#Browser Based]]''
* [[:Category: 8-tone scales]]
* [[:Category: 9-tone scales]]
* [[:Category: 10-tone scales]]
* [[:Category: 11-tone scales]]
* [[:Category: 12-tone scales]]


= Additional Stuff =
== Regular temperament theory (RTT) ==
* [[ABC, High Quality Commas, and Epimericity]]
* [[Monzo]]
* [[Benedetti height]]
* [[Val]]
* Indexes of small scales:
* [[Mapping]]
** [[:Category:5-tone scales|Category:5-tone scales]]
* [[Patent val]]
** [[:Category:6-tone scales|Category:6-tone scales]]
* [[Tempering out]]
** [[:Category:7-tone scales|Category:7-tone scales]]
* [[Rank and codimension]]
** [[:Category:8-tone scales|Category:8-tone scales]]
* [[Keenan's explanation of vals]]
** [[:Category:9-tone scales|Category:9-tone scales]]
* [[Comma pump]]
** [[:Category:10-tone scales|Category:10-tone scales]]
* [[Comma basis]]
* [[Chord of nature]]
* [[Saturation, torsion, and contorsion]]
* [[Cluster temperament]]
* [[Dyadic chord]]
* [[Consonant class scale]]
* [[Essential tempering comma]]
* [[Diatonic, Chromatic, Enharmonic, Subchromatic]]
* [[Distributional Evenness]]
* [[Essential tempering commas]]
* [[Generator complexity]]
* [[Graham complexity]]
* [[Graham complexity]]
* [[Kees height]]
* [[Lumma stability]]
* [[Maximum variety]]
* [[Modal UDP Notation]]
* [[Tenney height]]


= Advanced Theory =
== Advanced theory ==
* [[Mathematical Theory]]
{{Main| Mathematical theory }}


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

Latest revision as of 04:54, 2 December 2025

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

Basics

Core concepts

Online tools

Main article: List of music software § Browser-based
  • 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.

Common scales

Regular temperament theory (RTT)

Advanced theory

Main article: Mathematical theory
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