General theory: Difference between revisions
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{{interwiki | {{interwiki | ||
| en = General theory | |||
| de = | | de = | ||
| 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]] | ||
* [[ | * [[Chord]] | ||
* [[ | * [[Scale]] | ||
* [[ | * [[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]] | ||
* | ** [[Diatonic, chromatic, enharmonic, subchromatic]] | ||
* [[ | |||
* [[MOS scale]] | * [[MOS scale]] | ||
* [[ | ** [[Periods and generators]] | ||
* [[ | * [[Hexany]] | ||
* [[ | * [[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. | ||
*[ | |||
* [[:Category:5-tone scales]] | == Common scales == | ||
* [[:Category:6-tone scales]] | * [[:Category: 5-tone scales]] | ||
* [[:Category:7-tone scales]] | * [[:Category: 6-tone scales]] | ||
* [[:Category:8-tone scales]] | * [[:Category: 7-tone scales]] | ||
* [[:Category:9-tone scales]] | * [[:Category: 8-tone scales]] | ||
* [[:Category:10-tone scales]] | * [[:Category: 9-tone scales]] | ||
* [[:Category: 10-tone scales]] | |||
* [[:Category: 11-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 == | |||
{{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
- Start here: Xen concepts for beginners
- Interval
- Ratio
- Cent
- Chord
- Scale
- Mode
- Musical notation
- Terminology
Core concepts
- Just intonation
- Harmonic series
- Equal division of the octave
- Regular temperaments
- MOS scale
- Hexany
- Delta-rational chord
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
- Category: 5-tone scales
- Category: 6-tone scales
- Category: 7-tone scales
- Category: 8-tone scales
- Category: 9-tone scales
- Category: 10-tone scales
- Category: 11-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