Concepts and Theory Overview of Music Theories p. 3 The Representation of Music p. 7 Types of Representation p. 7 Symbolic Representation of Music p.

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1 Concepts and Theory Overview of Music Theories p. 3 The Representation of Music p. 7 Types of Representation p. 7 Symbolic Representation of Music p. 9 Electronic Scores p. 10 MIDI p. 13 Musical Representation Languages p. 14 Language of General Concepts p. 18 Architecture of Concepts I: Principles p. 19 Pure Architecture p. 19 Selection p. 20 Conjunction p. 21 Disjunction p. 21 Architecture with Primitives p. 22 Examples p. 24 Macro Notes p. 25 Frequency Modulation p. 26 Full Score p. 27 The Category of Modules p. 31 From Monoids to Modules p. 31 Monoids p. 32 Groups p. 33 Rings p. 33 Modules p. 37 Categories p. 41 Definition p. 41 Functors p. 43 Natural Transformations p. 45 Yoneda's Lemma p. 48 Limits and Colimits p. 49 Topoi p. 52 Architecture of Concepts II: Forms and Denotators p. 55 Forms p. 55 Denotators p. 57 Computational Category Theory p. 58 Data Types in Programming Languages p. 58 The Role of Diagrams p. 61 Software Components for Computational Theories p. 65 Types of User Interface p. 66 Rubato Composer: Computational Theories p. 69

2 Historical Overview p. 71 presto p. 71 "Classic" Rubato p. 73 Experiments in Java p. 75 Rubato Composer p. 76 The Implementation Overview p. 79 Architecture p. 81 Overall Structure p. 81 The Rubato Composer Universe p. 83 Java Packages p. 85 Modules and Morphisms p. 87 Modules and their Elements p. 87 The Module Interface p. 87 The ModuleElement Interface p. 91 Module Morphisms p. 95 The ModuleMorphism Interface p. 95 Forms and Denotators p. 105 Requirements p. 105 Forms p. 106 Form Class p. 107 SimpleForm Class p. 109 LimitForm and ColimitForm Classes p. 109 PowerForm and ListForm Classes p. 110 Denotators p. 110 SimpleDenotator Class p. 113 LimitDenotator Class p. 114 ColimitDenotator Class p. 115 PowerDenotator and ListDenotator Classes p. 115 Tools and Operations p. 116 Construction of Forms and Denotators p. 116 Paths p. 118 Module Mapping and Structural Replacement p. 119 Reforming p. 120 Address Changing p. 123 List and Set Operations p. 124 Tools and Utilities p. 127 Low-Level Mathematical Tools p. 127 Numbers p. 127 Matrixes p. 128 Repository and Predefined Universe p. 128

3 MIDI Sequencer and Synthesizer p. 130 Scheme Interpreter p. 131 XML as File Format for Rubato Composer p. 132 Rubato Composer GUI p. 135 Terminology p. 135 The Implementation of Networks p. 136 Running a Network p. 138 Macro Rubettes p. 141 Tools p. 144 The Plug-In System p. 144 Rubato Composer in Practice Overview p. 151 A Tutorial p. 153 First Applications in Rubette Construction p. 167 Rubettes for Macro Objects p. 167 The Wallpaper Rubette p. 170 The Alteration Rubette p. 176 Counterpoint Theory p. 179 Music Composition p. 180 The BigBang Rubette p. 183 Spontaneous Algorithmic Composition p. 183 Facts about Geometric Composition Strategies p. 184 Gestural Interaction Concept p. 185 Gesture Theory p. 185 Application of Gesture Theory p. 187 Modular Views p. 188 View Concept p. 188 Note representation p. 189 Basic Functionality and Navigation p. 193 Layers p. 193 Implemented Gestures p. 194 Geometrical Transformations p. 195 Wallpapers p. 196 Alteration p. 198 The BigBang Rubette in Context p. 199 Creative Analysis of Boulez's Structures p. 201 Boulez's Creative Analysis Revisited p. 201 Ligeti's Analysis p. 201 A First Creative Analysis of Structure Ia p. 203 Address Change p. 204 Primary Parameter Address Changes p. 205

4 Secondary Parameter Address Changes p. 206 The First Creative Analysis p. 208 Implementing Creative Analysis in Rubato Composer p. 209 The System of Boulettes p. 211 A Second More Creative Analysis and Reconstruction p. 213 The Conceptual Extensions p. 214 The BigBang Rubette p. 219 A Composition p. 221 Conclusion and Outlook p. 227 Lessons Learned p. 227 Things To Do p. 228 Ideas for Future Work p. 229 Appendix User's Manual p. 233 Introduction p. 233 Concepts p. 233 Rubato Composer's World of Objects p. 233 Rubettes p. 234 Networks p. 236 Macro Rubettes p. 237 Tools p. 238 Using Rubato Composer p. 238 Starting up p. 238 General Usage p. 238 Main Window p. 239 Main Menu and Toolbar p. 240 Network p. 242 Tools p. 244 Scheme Tools p. 251 Preferences p. 252 Recurring User Interface Elements p. 253 Core Rubettes p. 257 Rubette Description Schema p. 257 List of Core Rubettes p. 258 Built-in Non-Core Rubettes p. 269 Writing Rubettes p. 271 Developing with the Rubato Framework p. 271 Rubette Interface p. 273 Rubette Example p. 279 Specification p. 279 The LatchRubette class p. 279

5 Packaging a Plug-In p. 284 Types of Module Morphisms p. 285 The Rubette Java Interface p. 287 Example LatchRubette class p. 288 Keyboard Shortcuts p. 291 Rubato Scheme p. 292 Table of Contents provided by Blackwell's Book Services and R.R. Bowker. Used with permission.

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