Computational geometric aspects of rhythm, melody, and voice-leading

Godfried Toussaint
2010 Computational geometry  
Many problems concerning the theory and technology of rhythm, melody, and voiceleading 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
more » ... ception, 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.
doi:10.1016/j.comgeo.2007.01.003 fatcat:7uihjaxpgjcg7pipdcy3lre3bi