TY - JOUR
T1 - Functors for music
T2 - The rubato composer system
AU - Mazzola, Guerino
AU - Milmeister, Gérard
AU - Morsy, Karim
AU - Thalmann, Florian
N1 - Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 2008.
PY - 2008
Y1 - 2008
N2 - In abstract mathematical music theory, the data format of denotators is associated with set-valued presheaves over module categories. In this paper, we present an implementation of this concept framework in the Rubato Composer system, a Java application comprising a GUI for manipulation and combination of rubettes. These are plug-ins that can be added and connected for communication of denotator data. Rubato Composer is a GPL software and is accessible to the computer music community for download and collaboration. In this paper, the functionality, architecture, concept framework, and the implemented mathematical operators are presented and illustrated with a “functorial composition” as well as with two rubettes for the construction of embellishments (macro objects) and wallpaper ornaments (grids of transformations acting on motifs). In a musically more significant example, we sketch the functorial reconstruction of Pierre Boulez’s classical composition structures pour deux pianos, Ia.
AB - In abstract mathematical music theory, the data format of denotators is associated with set-valued presheaves over module categories. In this paper, we present an implementation of this concept framework in the Rubato Composer system, a Java application comprising a GUI for manipulation and combination of rubettes. These are plug-ins that can be added and connected for communication of denotator data. Rubato Composer is a GPL software and is accessible to the computer music community for download and collaboration. In this paper, the functionality, architecture, concept framework, and the implemented mathematical operators are presented and illustrated with a “functorial composition” as well as with two rubettes for the construction of embellishments (macro objects) and wallpaper ornaments (grids of transformations acting on motifs). In a musically more significant example, we sketch the functorial reconstruction of Pierre Boulez’s classical composition structures pour deux pianos, Ia.
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U2 - 10.1007/978-3-540-79486-8_21
DO - 10.1007/978-3-540-79486-8_21
M3 - Article
AN - SCOPUS:85062667523
SN - 1865-0929
VL - 7
SP - 238
EP - 254
JO - Communications in Computer and Information Science
JF - Communications in Computer and Information Science
ER -