General theory: Difference between revisions
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* [[Comma pump]] | * [[Comma pump]] | ||
* [[Delta-N ratio]] | * [[Delta-N ratio]] | ||
* [[Generator complexity]] | |||
* [[Saturation, torsion, and contorsion]] | * [[Saturation, torsion, and contorsion]] | ||
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{{Main| Mathematical Theory }} | {{Main| Mathematical Theory }} | ||
* [[ABC, High Quality Commas, and Epimericity]] | |||
* [[Chord of nature]] | * [[Chord of nature]] | ||
* [[Cluster temperament]] | * [[Cluster temperament]] | ||
Revision as of 09:11, 20 October 2024
Here are some links to some of the key ideas underlying tuning:
Basics
- Start here: Xen concepts for beginners
- Interval
- Ratio
- Cent
- Chords
- Scales
- Musical notation
Core concepts
- Harmonic series
- Just intonation
- Equal division of the octave
- Equal division of the tritave
- Equal-step tuning
- Arithmetic tuning
- Regular temperaments
- Periods and generators
- Periodic scale
- Mode
- MOS scale
- Well temperament
- Comma pump
- Hexany
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)
- Val
- Monzo
- Mapping
- Comma basis
- Comma pump
- Delta-N ratio
- Generator complexity
- Saturation, torsion, and contorsion
Advanced theory
- ABC, High Quality Commas, and Epimericity
- Chord of nature
- Cluster temperament
- Consonant class scale
- Diatonic, Chromatic, Enharmonic, Subchromatic
- Distributional evenness
- Essentially tempered chords
- Essential tempering commas
- Fokker block
- Graham complexity
- Lumma stability
- Maximum variety
- Modal UDP Notation