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203007

The sounding algebra

relations between combinatorics and music from Mersenne to Euler

Eberhard Knobloch

pp. 27-48

Abstract

The baroque conception of music was based on a rational, mathematical foundation. Musicologists and composers of that period cited again and again the biblical verse that God had ordered ("disposuisti") the whole world through measure, number, and weight (Wisdom 11, 20). Beauty, harmony consist in order, numbers play a crucial role in this regard.

Publication details

Published in:

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

Pages: 27-48

DOI: 10.1007/978-3-662-04927-3_2

Full citation:

Knobloch Eberhard (2002) „The sounding algebra: relations between combinatorics and music from Mersenne to Euler“, In: G. Assayag, H. Feichtinger & J. Rodrigues (eds.), Mathematics and music, Dordrecht, Springer, 27–48.