General theory: Difference between revisions
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Remove some things that are already in advanced theory, add more things to RTT, reorder things so the more foundational stuff is listed first |
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| Line 29: | Line 29: | ||
* [[Periodic scale]] | * [[Periodic scale]] | ||
* [[MOS scale]] | * [[MOS scale]] | ||
* [[Diatonic, Chromatic, Enharmonic, Subchromatic]] | |||
* [[Well temperament]] | * [[Well temperament]] | ||
* [[Chord of nature]] | |||
* [[Hexany]] | * [[Hexany]] | ||
| Line 61: | Line 63: | ||
* [[Saturation, torsion, and contorsion]] | * [[Saturation, torsion, and contorsion]] | ||
* [[Delta-N ratio]] | * [[Delta-N ratio]] | ||
* [[Essentially tempered chords]] | * [[Essentially tempered chords]] | ||
* [[Essential tempering commas]] | * [[Essential tempering commas]] | ||
* [[Graham complexity]] | * [[Graham complexity]] | ||
* [[Lumma stability]] | * [[Lumma stability]] | ||
* [[Distributional evenness]] | |||
* [[Consonant class scale]] | |||
* [[Maximum variety]] | * [[Maximum variety]] | ||
* [[Modal UDP Notation]] | * [[Modal UDP Notation]] | ||
== Advanced theory == | |||
{{Main| Mathematical Theory }} | |||
[[Category:Theory]] | [[Category:Theory]] | ||
[[Category:Todo:review]] | [[Category:Todo:review]] | ||
Revision as of 09:31, 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
- Modes
- 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
- MOS scale
- Diatonic, Chromatic, Enharmonic, Subchromatic
- Well temperament
- Chord of nature
- 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)
- Monzo
- Val
- Mapping
- Patent val
- Tempering out
- Rank and codimension
- Keenan's explanation of vals
- Comma pump
- Comma basis
- Saturation, torsion, and contorsion
- Delta-N ratio
- Essentially tempered chords
- Essential tempering commas
- Graham complexity
- Lumma stability
- Distributional evenness
- Consonant class scale
- Maximum variety
- Modal UDP Notation