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The use of mechanical devices and numerical algorithms in the 18th century for the equal temperament of the musical scale

Benedetto Scimemi

pp. 49-63

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.

Publication details

Published in:

Assayag Gerard, Feichtinger Hans Georg, Rodrigues Jose Francisco (2002) Mathematics and music: a Diderot mathematical forum. Dordrecht, Springer.

Pages: 49-63

DOI: 10.1007/978-3-662-04927-3_3

Full citation:

Scimemi Benedetto (2002) „The use of mechanical devices and numerical algorithms in the 18th century for the equal temperament of the musical scale“, In: G. Assayag, H. Feichtinger & J. Rodrigues (eds.), Mathematics and music, Dordrecht, Springer, 49–63.