The Rubato Composer Music Software Component-Based Implementation of a Functorial Concept Architecture

Both modern mathematical music theory and computer science are strongly influenced by the theory of categories and functors. One outcome of this research is the data format of denotators, which is based on set-valued presheaves over the category of modules and diaffine homomorphisms. The functorial...

Full description

Bibliographic Details
Main Author: Milmeister, Gérard
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2009, 2009
Edition:1st ed. 2009
Series:Computational Music Science
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
LEADER 03708nmm a2200373 u 4500
001 EB000381786
003 EBX01000000000000000234838
005 00000000000000.0
007 cr|||||||||||||||||||||
008 130626 ||| eng
020 |a 9783642001482 
100 1 |a Milmeister, Gérard 
245 0 0 |a The Rubato Composer Music Software  |h Elektronische Ressource  |b Component-Based Implementation of a Functorial Concept Architecture  |c by Gérard Milmeister 
250 |a 1st ed. 2009 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 2009, 2009 
300 |a XX, 301 p. 143 illus  |b online resource 
505 0 |a Concepts and Theory -- Overview of Music Theories -- The Representation of Music -- Architecture of Concepts I: Principles -- The Category of Modules -- Architecture of Concepts II: Forms and Denotators -- Software Components for Computational Theories -- Historical Overview -- The Implementation -- Overview -- Architecture -- Modules and Morphisms -- Forms and Denotators -- Tools and Utilities -- Rubato Composer GUI -- Rubato Composer in Practice -- Overview -- A Tutorial -- First Applications in Rubette Construction -- The BigBang Rubette -- Creative Analysis of Boulez’s -- Conclusion and Outlook -- User’s Manual 
653 |a Multimedia systems 
653 |a Digital humanities 
653 |a Mathematics / Data processing 
653 |a Algebra, Homological 
653 |a Computational Science and Engineering 
653 |a Music 
653 |a Category Theory, Homological Algebra 
653 |a Digital Humanities 
653 |a Media Design 
653 |a Interactive multimedia 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
490 0 |a Computational Music Science 
028 5 0 |a 10.1007/978-3-642-00148-2 
856 4 0 |u https://doi.org/10.1007/978-3-642-00148-2?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 003.3 
520 |a Both modern mathematical music theory and computer science are strongly influenced by the theory of categories and functors. One outcome of this research is the data format of denotators, which is based on set-valued presheaves over the category of modules and diaffine homomorphisms. The functorial approach of denotators deals with generalized points in the form of arrows and allows the construction of a universal concept architecture. This architecture is ideal for handling all aspects of music, especially for the analysis and composition of highly abstract musical works. This book presents an introduction to the theory of module categories and the theory of denotators, as well as the design of a software system, called Rubato Composer, which is an implementation of the category-theoretic concept framework. The application is written in portable Java and relies on plug-in components, so-called rubettes, which may be combined in data flow networks for the generationand manipulation of denotators. The Rubato Composer system is open to arbitrary extension and is freely available under the GPL license. It allows the developer to build specialized rubettes for tasks that are of interest to composers, who in turn combine them to create music. It equally serves music theorists, who use them to extract information from and manipulate musical structures. They may even develop new theories by experimenting with the many parameters that are at their disposal thanks to the increased flexibility of the functorial concept architecture. Two contributed chapters by Guerino Mazzola and Florian Thalmann illustrate the application of the theory as well as the software in the development of compositional tools and the creation of a musical work with the help of the Rubato framework