Xenharmlib

Xenharmlib is a generalized music theory library that supports traditional Western and non-western harmonic systems, unconventional microtonal and macrotonal tunings, diatonic and posttonal set theory and non-standard notations.

Click here for the official documentation

Features

A selection of things supported by xenharmlib:

• Scale, interval, sequence and abstract scale calculation in any regular temperament (including, but not limited to: Western, Turkish Makam, Slendro, Just Intonation / Prime Limit Tunings, Quarter-Comma Meantone, Bohlen-Pierce, Wendy Carlos' Gamma Tuning)
• Western notation (including interval naming)
• Up/Down notation (a superset of Western notation)
• Complete interval arithmetic with awareness of harmonic function
• Posttonal analysis: Normal form & prime form calculation, pitch class set arithmetic, interval vector calculation, etc
• Extraction of playable chords from any scale
• Structure discovery / Pattern matching in scales
• Modulation suggestions for arbitrary key changes
• Approximation of arbitrary frequencies to pitches and notes for spectralist compositions, including error calculation

Roadmap

A list of planned features (not necessarily in chronological order):

• Extended Helmholtz-Ellis JI Pitch Notation
• Arel-Ezgi-Uzdilek notation
• Rothenberg propriety and interval matrices
• Scale generation tools (Euler-Fokker genus, combination product set, Moment-of-Symmetry scales, odd limit scales)
• Templates for traditional music (Western Scales, Makam tetrachords, etc)
• Plugin interface for score rendering backends
• Advanced posttonal analysis
• Utilities for transformation theory