Vector Music is a sophisticated mathematical framework that reimagines musical composition through the lens of differential geometry, tensor fields, and multi-agent systems. By treating musical elements as geometric objects within a carefully constructed manifold, it provides a unified approach to algorithmic composition that naturally encompasses both traditional musical concepts and emerging computational methods.
- Geometric Naturality: Musical relationships and transformations emerge naturally from the geometry of the space
- Physical Intuition: Musical dynamics mirror physical systems, leveraging our understanding of physical laws
- Emergent Complexity: Sophisticated musical structures emerge from the interaction of simple, well-defined components
vector-music/
├── docs/ # Documentation
│ ├── foundations/ # Mathematical and theoretical groundwork
│ ├── system-design/ # Architecture and component interaction
│ ├── implementation/ # Technical details
│ └── applications/ # Use cases and future directions
├── src/ # Source code
│ ├── core/ # Mathematical core implementation
│ ├── physics/ # Musical physics engine
│ ├── agents/ # Multi-agent framework
│ └── integration/ # System integration layer
├── examples/ # Example implementations and use cases
└── tests/ # Test suites
-
Unified Mathematical Framework
- Integration of discrete musical elements into continuous geometric structures
- Rigorous mathematical foundations for musical transformations
- Formal analysis of musical relationships and processes
-
Physical Modeling
- Conservation laws for musical properties
- Field theories for musical interaction
- Analogies between physical and musical systems
-
Computational Architecture
- Flexible, extensible system for musical generation
- Learning mechanisms for stylistic adaptation
- Emergent musical behaviors through multi-agent interaction
- Differential geometry basics
- Tensor analysis fundamentals
- Basic topology
- Linear algebra
- Music theory fundamentals
- Basic harmony and counterpoint
- Musical form and structure
- Contemporary composition techniques
- Python 3.8+
- NumPy
- SciPy
- PyTorch
- Music21
- Clone the repository:
git clone https://github.com/yourusername/vector-music.git
cd vector-music- Install dependencies:
pip install -r requirements.txt- Run the examples:
python examples/basic_generation.pyComprehensive documentation is available in the /docs directory:
- Foundations: Mathematical and theoretical groundwork
- System Design: Architecture and component interaction
- Implementation: Technical details and practical considerations
- Applications: Use cases and future directions
We welcome contributions! Please see our Contributing Guidelines for details on how to submit pull requests, report issues, and contribute to development.
- Fork the repository
- Create your feature branch (
git checkout -b feature/amazing-feature) - Commit your changes (
git commit -m 'Add amazing feature') - Push to the branch (
git push origin feature/amazing-feature) - Open a Pull Request
This project builds upon and extends research in multiple fields. For academic references and publications related to this work, please see our Research Documentation.
This project is licensed under the GNU GENERAL PUBLIC LICENSE - see the LICENSE file for details.
This work builds upon ideas from various fields including music theory, physics, mathematics, and computer science. We acknowledge the foundational work of researchers in these areas, without which this synthesis would not be possible.
- Project Lead - Dídac Buscató
- Project Website:
- Documentation:
If you use Vector Music in your research, please cite:
@software{vector_music2024,
author = {Dídac Buscató},
title = {Vector Music: A Mathematical Framework for Musical Generation},
year = {2024},
publisher = {GitHub},
url = {https://github.com/jodidac/VectorMusic}
}