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Abstract In Mathematical Music theory, the Aperiodic Tiling Complements Problem consists
in finding all the possible aperiodic complements of a given rhythm A. The complexity of this …

In this article, we develop a new integer linear programming (ILP) approach to solving the
Eternity Puzzle, a hard combinatorial tiling problem using 209 polygonal puzzle pieces …

Integer linear programming (ILP) is often used to model and solve real-life problems. In
practice, alternative solutions are very useful as they significantly increase flexibility for the …

Abstract In Mathematical Music theory, the Aperiodic Tiling Complements Problem consists
in finding all the possible aperiodic complements of a given rhythm A. The complexity of this …

By a scheme of a musical canon, we mean the time and pitch displacement of each entering
voice. When the time displacements are unequal, achieving consonant sonorities is …

The link between music and mathematics was discovered in ancient times, a few
observations being traditionally attributed to the genius of Pythagoras. He was allegedly the …

Le lien entre musique et mathématiques a été découvert et étudié depuis l'Antiquité par de
nombreux scientifiques, philosophes, musiciens tels que Pythagore, Galileo Galilei, Gottfried …