Gerard Assayag - Böcker

Constraint programming (CP) is a declarative programming paradigm with many academic and industrial applications (from n-queens to planning, vehicle routing, and optimization, among other fields). Music composition has been one of these applications since the earliest works on automatic harmonization, and it remains a very special and challenging one due to its artistic (and highly subjective) nature. The early works on CP in music were limited to classical music composition, as the harmonization and counterpoint rules naturally translate into constraints. However, when contemporary composers began to be interested in constraints, CP became an essential tool in computer-assisted composition systems. As several contemporary musical pieces have now been composed "with constraints", it is reasonable to ask why CP applies so naturally to music, and what the particular features of musical problems are. This book presents information about recently developed musical CP systems from both the scientist's and composer's point-of-view. It will therefore be of interest to students and researchers of music technology, composers in the computer music scene, and music software companies-especially those trying to model high level musical behaviors (i.e., intelligent arpeggiation/arrangement on synthesizers, "Band in a Box" software, etc.), perform music data mining, and execute music taste engineering for online music delivery.

In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other mathematicians, like Leibniz, for instance. Mathematical models can be found for almost all levels of musical activities from composition to sound production by traditional instruments or by digital means. Modern music theory has been incorporating more and more mathematical content during the last decades. This book offers a journey into recent work relating music and mathematics. It contains a large variety of articles, covering the historical aspects, the influence of logic and mathematical thought in composition, perception and understanding of music and the computational aspects of musical sound processing. The authors illustrate the rich and deep interactions that exist between Mathematics and Music.

In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other mathematicians, like Leibniz, for instance.

This book constitutes the refereed proceedings of the Third International Conference on Mathematics and Computation in Music, MCM 2011, held in Paris, France, in June 2011. The 24 revised full papers presented and the 12 short papers were carefully reviewed and selected from 62 submissions. The MCM conference is the flagship conference of the Society for Mathematics and Computation in Music. This year’s conference aimed to provide a multi-disciplinary platform dedicated to the communication and exchange of ideas amongst researchers involved in mathematics, computer science, music theory, composition, musicology, or other related disciplines. Areas covered were formalization and geometrical representation of musical structures and processes; mathematical models for music improvisation and gestures theory; set-theoretical and transformational approaches; computational analysis and cognitive musicology as well as more general discussions on history, philosophy and epistemology of music and mathematics.