6533b829fe1ef96bd1289711

RESEARCH PRODUCT

Compatibility of the Different Tuning Systems in an Orchestra

Alfonso Del CorralVicente LiernTeresa León

subject

Musical notationComputer sciencebusiness.industryDaily practiceCompatibility (mechanics)Fuzzy setEqual temperamentFuzzy numberArtificial intelligencebusinessFuzzy logicInterchangeability

description

Focusing on the daily practice of musicians, we give flexibility to the mathematical treatment of musical notes, tuning systems and the relations between them. This allows us to connect the theory and the practice of music. Using the techniques of fuzzy logic, we describe the concepts with fuzzy sets and introduce the α-compatibility as a degree of interchangeability between tuning systems. To show how our proposal works, we use a fragment of Haydn and analyze the compatibility of the notes taken from 48 recordings for the tuning systems of Pythagoras, Zarlino and Equal Temperament of 12 notes.

yearjournalcountryeditionlanguage
2009-01-01
https://doi.org/10.1007/978-3-642-02394-1_9