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The Use of Mechanical Devices and Numerical Algorithms in the 18th Century for the Equal Temperament of the Musical Scale

In: Mathematics and Music

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  • Benedetto Scimemi

Abstract

An important subject in which music must reckon with mathematics is temperament of the musical scale. Let’s briefly run through the terms of the problem so that any reader can grasp it. Every musical note has its own precise frequency; a musical instrument (especially one with a keyboard) can produce a finite set of discrete notes: what frequencies must an instrument maker choose so that the instrument can be both used and enjoyed by its player? The maker of the instrument runs into two incompatible facts.

Suggested Citation

  • Benedetto Scimemi, 2002. "The Use of Mechanical Devices and Numerical Algorithms in the 18th Century for the Equal Temperament of the Musical Scale," Springer Books, in: Gerard Assayag & Hans Georg Feichtinger & Jose Francisco Rodrigues (ed.), Mathematics and Music, chapter 3, pages 49-63, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-04927-3_3
    DOI: 10.1007/978-3-662-04927-3_3
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