The Rubato Composer Music Software

Component-Based Implementation of a Functorial Concept Architecture

  • Authors
  • Gérard Milmeister

Part of the Computational Music Science book series (CMS)

Table of contents

  1. Front Matter
    Pages 1-17
  2. Concepts and Theory

    1. Front Matter
      Pages 1-1
    2. Gérard Milmeister
      Pages 3-6
    3. Gérard Milmeister
      Pages 7-18
    4. Gérard Milmeister
      Pages 19-29
    5. Gérard Milmeister
      Pages 31-53
    6. Gérard Milmeister
      Pages 55-63
    7. Gérard Milmeister
      Pages 65-70
    8. Gérard Milmeister
      Pages 71-76
  3. The Implementation

    1. Front Matter
      Pages 77-77
    2. Gérard Milmeister
      Pages 79-80
    3. Gérard Milmeister
      Pages 81-86
    4. Gérard Milmeister
      Pages 87-103
    5. Gérard Milmeister
      Pages 105-125
    6. Gérard Milmeister
      Pages 127-133
    7. Gérard Milmeister
      Pages 135-148
  4. Rubato Composer in Practice

    1. Front Matter
      Pages 149-149
    2. Gérard Milmeister
      Pages 151-151
    3. Gérard Milmeister
      Pages 153-166
    4. Gérard Milmeister
      Pages 167-181
    5. Florian Thalmann, Guerino B. Mazzola
      Pages 183-200
    6. Guerino B. Mazzola, Florian Thalmann
      Pages 201-225
    7. Gérard Milmeister
      Pages 227-230
  5. Appendix

    1. Front Matter
      Pages 231-231
    2. Gérard Milmeister
      Pages 233-293
  6. Back Matter
    Pages 1-6

About this book


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 generation and 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.


Java Rubato Tutorial architecture calculus computer computer science construction design development homomorphism linear optimization music theory software structure

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Computer Science Computer Science (R0)
  • Print ISBN 978-3-642-00147-5
  • Online ISBN 978-3-642-00148-2
  • Series Print ISSN 1868-0305
  • Series Online ISSN 1868-0313
  • Buy this book on publisher's site
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