Search on a multi-dimensional interval lattice as a method for the automatic intonation of arbitrary pitch configurations

Abstract

In a world where the global cultural impact of music is evident, its study naturally attracts interest. Western music is primarily tuned in accordance with the twelve-tone equal temperament system, 12TET. A system which allows for consistent and equal intonation across keys, but systematically deviates from the theoretically ideal just intonation. An automatic and interactive intonation system can be implemented which aims to provide the ost consonant intonation for any given pitch configuration using the principle of just intonation. To determine the most consonant intonations a measure called the harmonic distance is used. The output of the ConsAInance system is evaluated and compared to 12TET tuning, and a brief overview of related work is given.