Analyzing musical compartmental networks using MIDI files

Applies Network Environ Analysis to compute properties of several representations of a musical piece as a compartmental network

This package contains MATLAB tools for executing Network Environ Analysis, a tool and concept from mathematical ecology, as applied with compartmental networks created to model a musical piece. This analysis is a significant part of Nicholas J. Lindell's M.A. thesis, "Mathematical music analysis: a holistic approach," which gives detailed motivations and explanations. The thesis is available from the University of Georgia or the author.

This code relies upon other scripts: Ken Schutte's MATLAB and MIDI files (kenschutte.com/midi) and Stuart Borrett's NEA.m, available on this file exchange.

As corollary functionality, this code also computes frequency distributions of notes and transitions between them, modulo 12. These can be used, for instance, for computing statistical indices to determine musical style and key, as in the project "Determining a musical piece's style and key using maths" by the same author.