Titlebook: Mathematics and Computation in Music; Third International Carlos Agon,Moreno Andreatta,John Mandereau Conference proceedings 2011 Springer

古老

忘川河

挑剔小责

Building Topological Spaces for Musical Objectsvel classifications and provides new computational tools. In this paper, we show how a topological representation for .-note chords associated with the degrees of the diatonic scale and for the All-Interval Series (AIS) can be automatically built using ., a rule-based spatial programming language. T

Endearing

A Model for Collective Free Improvisationsome interesting mechanisms of CFI. We use two variables: the . and the .. Both variables are used to describe the production and organization of the improvisers’ signals. Using a system of Landau equations, we propose a non-linear dynamics for the intention evolving on a short time-scale while the

分贝

Femish

减少

发出眩目光芒

Spelled Heptachordsmetries of spc space are transposition and inversion along the line of fifths. Because of the inextricable link between pitch spelling and diatonic scales, ..—seven-note spc sets that include each letter name exactly once—occupy a privileged position in this theory. Spelled heptachords may be regard

OATH

Fundamental Passacaglia: Harmonic Functions and the Modes of the Musical Tetractysby a dialectical interpretation—and redeploy them within an alternative theoretical framework: the combinatorics of the modes of the musical ., enriched by musical-theoretical interpretations of selected mathematical facts. Section 1 introduces tonal perspectives of the analysis of the fundamental b

invert