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
• 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

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)

• Val
• Monzo
• Mapping
• Comma basis
• Comma pump
• Delta-N ratio
• Saturation, torsion, and contorsion

Advanced theory

Main article: Mathematical 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
• Generator complexity
• Graham complexity
• Lumma stability
• Maximum variety
• Modal UDP Notation