General theory: Difference between revisions

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Clean up js tools, add some more pages
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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]]
* [[Harmonic series]]
** [[Chord of nature]]
* [[Equal division of the octave]]
* [[Equal division of the octave]]
* [[Well temperament]]
** [[Equal-step tuning]] ([[edt]], [[edf]], …)
** [[Well temperament]]
* [[Regular temperaments]]
** [[Diatonic, chromatic, enharmonic, subchromatic]]
* [[MOS scale]]
* [[MOS scale]]
* [[Regular temperaments]]
** [[Periods and generators]]
* [[Periods and generators]]
* [[Equal-step tuning]]
* [[Equal division of the tritave]]
* [[Periodic scale]]
* [[Arithmetic tuning]]
* [[Comma pump]]
* [[Hexany]]
* [[Hexany]]
* [[Delta-rational chord]]


== Online tools ==
== Online tools ==
{{Main| List of music software #Browser-based }}
{{Main| List of music software #Browser-based }}


* [https://www.yacavone.net/xen-calc/| xen-calc] – a nice online interval calculator tool.
* [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.


== Scales with few notes ==
== Common scales ==
* [[:Category: 5-tone scales]]
* [[:Category: 5-tone scales]]
* [[:Category: 6-tone scales]]
* [[:Category: 6-tone scales]]
Line 42: Line 49:
* [[:Category: 9-tone scales]]
* [[:Category: 9-tone scales]]
* [[:Category: 10-tone scales]]
* [[:Category: 10-tone scales]]
* [[:Category: 11-tone scales]]
* [[:Category: 12-tone scales]]
* [[:Category: 12-tone 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]]


== Advanced theory ==
== Advanced theory ==
{{Main| Mathematical Theory }}
{{Main| Mathematical theory }}
 
* [[Chord of nature]]
* [[Cluster temperament]]
* [[Consonant class scale]]
* [[Diatonic, Chromatic, Enharmonic, Subchromatic]]
* [[Distributional evenness]]
* [[Essential tempering commas]]
* [[Fokker block]]
* [[Graham complexity]]
* [[Lumma stability]]
* [[Maximum variety]]
* [[Modal UDP Notation]]


[[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

  • 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