General theory: Difference between revisions
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{{ | {{Interwiki | ||
| en = General theory | |||
| de = | | de = | ||
| es = Teoría básica | |||
| es = Teoría | | 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. | ||
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 == | == Basics == | ||
* [[Interval]] | * [[Interval]] | ||
* [[Ratio]] | * [[Ratio]] | ||
** [[Ratio math]] | ** [[Ratio math]] | ||
* [[Cent]] | * [[Cent]] | ||
* [[ | * [[Chord]] | ||
* [[Scale]] | * [[Scale]] | ||
* [[Mode]] | * [[Mode]] | ||
* [[Musical notation]] | * [[Musical notation]] | ||
* Terminology | |||
** [[Glossary]] | |||
** [[Acronyms]] | |||
== Core concepts == | == Core concepts == | ||
* [[Just intonation]] | |||
* [[Harmonic series]] | * [[Harmonic series]] | ||
* [[ | ** [[Chord of nature]] | ||
* [[Equal division of the octave]] | * [[Equal division of the octave]] | ||
* [[Equal | ** [[Equal-step tuning]] ([[edt]], [[edf]], …) | ||
** [[Well temperament]] | |||
* [[ | |||
* [[Regular temperaments]] | * [[Regular temperaments]] | ||
* | ** [[Diatonic, chromatic, enharmonic, subchromatic]] | ||
* [[ | |||
* [[MOS scale]] | * [[MOS scale]] | ||
* [[ | ** [[Periods and generators]] | ||
* [[Hexany]] | * [[Hexany]] | ||
* [[Delta-rational chord]] | |||
* [[ | |||
== Regular temperament theory (RTT) == | == Regular temperament theory (RTT) == | ||
| Line 60: | Line 52: | ||
* [[Comma basis]] | * [[Comma basis]] | ||
* [[Saturation, torsion, and contorsion]] | * [[Saturation, torsion, and contorsion]] | ||
* [[ | * [[Dyadic chord]] | ||
* [[Essential tempering comma]] | |||
* [[Graham complexity]] | |||
== Advanced theory == | == Advanced theory == | ||
{{Main| Mathematical | {{Main| Mathematical theory }} | ||
[[Category:Theory]] | [[Category:Theory]] | ||
[[Category:Todo:review]] | [[Category:Todo:review]] | ||
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
- Just intonation
- Harmonic series
- Equal division of the octave
- Regular temperaments
- MOS scale
- 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 basis
- Saturation, torsion, and contorsion
- Dyadic chord
- Essential tempering comma
- Graham complexity