General theory

Here are some links to some of the key ideas underlying tuning:

Basics

• Start here: Xen concepts for beginners
• Interval
• Ratio
  • Ratio math
• Cent
• Chord
• Scale
• Mode
• Musical notation
• Terminology
  • Glossary
  • Acronyms

Core concepts

• Just intonation
• Harmonic series
  • Chord of nature
• Equal division of the octave
  • Equal-step tuning (edt, edf, …)
  • Well temperament
• Regular temperaments
  • Diatonic, chromatic, enharmonic, subchromatic
• MOS scale
  • Periods and generators
• Hexany

Online tools

Main article: List of music software § Browser-based

• 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

Advanced theory

Main article: Mathematical theory