OPTIMAL CONNECTION OF CHORDS
A set of mathematical methods used by Daniel Schell in the process of composing.
Methods using operational research, combinatorial optimisation, algorithms, music theory.
The Travelling Musician on the EURO Website.
Brass Quintet, commission of the Association for Operational Research. The piece illustrates various aspects of my research on the optimal connection of chords. Created in Budapest by Brass in the Five under the direction of Gergely Vajda,
The paper:
Optimality in Musical melodies and Harmonic Progressions
Further research
“The connection of p-ads over Zn” by Daniel Schell, Ola Rinta-Koski, Thomas R.R. Pintelon
References:
Optimality in musical melodies and harmonic progressions: The Travelling Musician
European Journal of Operational Research, 2002, vol. 140, issue 2, 354-372
https://www.sciencedirect.com/science/article/abs/pii/S0377221702000747