Abstract
Many problems concerning the theory and technology of rhythm, melody, and voice-leading are fundamentally geometric in nature. It is therefore not surprising that the field of computational geometry can contribute greatly to these problems. The interaction between computational geometry and music yields new insights into the theories of rhythm, melody, and voice-leading, as well as new problems for research in several areas, ranging from mathematics and computer science to music theory, music perception, and musicology. Recent results on the geometric and computational aspects of rhythm, melody, and voice-leading are reviewed, connections to established areas of computer science, mathematics, statistics, computational biology, and crystallography are pointed out, and new open problems are proposed.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2-22 |
| Number of pages | 21 |
| Journal | Computational Geometry: Theory and Applications |
| Volume | 43 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2010 |
Keywords
- Algorithms
- Computational geometry
- Computational music theory
- Convolution
- Evenness measures
- Melody
- Music information retrieval
- Musical rhythm
- Necklaces
- Rhythm similarity
- Sequence comparison
- Voice-leading
ASJC Scopus subject areas
- Computer Science Applications
- Geometry and Topology
- Control and Optimization
- Computational Theory and Mathematics
- Computational Mathematics