1. Uncertainty measures of well-tempered systems.
- Author
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Haluška, Ján
- Subjects
- *
MATHEMATICAL models , *SIMULATION methods & models , *MATHEMATICS - Abstract
Investigations of tone systems are motivated by mathematical models in acoustics. In the present paper, tone systems are represented by the systems of fuzzy numbers. The construction idea of these systems consists of using approximations of 3⁄2. A formalization of well-tempered systems is given. Uncertainty-based-information measures are considered. The HuygensFokker, Opelt, Hba, Sumec, Petzval, and more other tone systems (used in the musical theory and practice and also new ones) are derived as consequences of the theory. [ABSTRACT FROM AUTHOR]
- Published
- 2002
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