General theory

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

Basics

• Ratio
  • Ratio math
• Cent
• Chords
• Scales
• Notation

Core concepts

• Just intonation
• Harmonic series
• Equal division of the octave
• Well temperament
• MOS scale
• Regular temperaments
• Periods and generators
• Equal-step tuning
• Equal division of the tritave
• Periodic scale
• Arithmetic tuning
• Comma pump
• Hexany

Online tools

Main article: List of music software #Browser-based

• xen-calc – a nice online interval calculator tool.

Scales with few notes

• 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: 12-tone scales

Advanced theory

Main article: Mathematical Theory

• Chord of nature
• Cluster temperament
• Consonant class scale
• Diatonic, Chromatic, Enharmonic, Subchromatic
• Distributional evenness
• Essential tempering commas
• Fokker block
• Graham complexity
• Lumma stability
• Maximum variety
• Modal UDP Notation