General theory: Difference between revisions
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Here are some links to some of the key ideas underlying tuning: | Here are some links to some of the key ideas underlying tuning: | ||
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** [[Periods and generators]] | ** [[Periods and generators]] | ||
* [[Hexany]] | * [[Hexany]] | ||
* [[Delta-rational chord]] | |||
== Online tools == | == Online tools == | ||
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