The Physical Basis of Intervallic Quality and Its Application to the Problem of Dissonance

Bobbitt, Richard

doi:10.2307/842850

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Measuring Chord Similarity1

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2010

2016

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Cited by 2 publications

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“…Indeed, psychological studies have shown that chords with four or more notes may sound quite differently from each other, even though they may have exactly the same interval vector [107]. In addition to the psychological aspects of intervallic perception, the physical (acoustic) aspects also play a role [18]. Furthermore, the preceding measures must be distinguished from the composer-oriented cognitive models of musical distance [27].…”

Section: Measuring Chord Similaritymentioning

confidence: 99%

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

Toussaint

2010

Computational Geometry

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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.

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Section: Measuring Chord Similaritymentioning

confidence: 99%