Since the second half of the 16th century, the role of speculative music has undergone a major change due to developments in mathematics and natural philosophy that allowed for a more effective treatment of its classical problems: the formation of scales, the understanding of the nature of consonances, the functioning of musical instruments, and the presence of overtones. This last aspect was studied empirically and satisfactorily by various English scientists, including John Wallis.Wallis, John The theoretical analysis was conducted by Daniel Bernoulli, Bernoulli, Danielwho unfortunately did not yet have the necessary mathematical tools. Music theory was studied in the newly emerging scientific academies, notably the Royal society of London and the Académie des sciences of Paris. Toward the end of the century, Sauveur began his work as a mathematician, pursuing the systematic development of musical acoustics.

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The Mathematicians at the Close of the 17th Century

  • Danilo Capecchi,
  • Giulia Capecchi

摘要

Since the second half of the 16th century, the role of speculative music has undergone a major change due to developments in mathematics and natural philosophy that allowed for a more effective treatment of its classical problems: the formation of scales, the understanding of the nature of consonances, the functioning of musical instruments, and the presence of overtones. This last aspect was studied empirically and satisfactorily by various English scientists, including John Wallis.Wallis, John The theoretical analysis was conducted by Daniel Bernoulli, Bernoulli, Danielwho unfortunately did not yet have the necessary mathematical tools. Music theory was studied in the newly emerging scientific academies, notably the Royal society of London and the Académie des sciences of Paris. Toward the end of the century, Sauveur began his work as a mathematician, pursuing the systematic development of musical acoustics.