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The Sounding Algebra: Relations Between Combinatorics and Music from Mersenne to Euler

In: Mathematics and Music

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  • Eberhard Knobloch

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.

Suggested Citation

  • Eberhard Knobloch, 2002. "The Sounding Algebra: Relations Between Combinatorics and Music from Mersenne to Euler," Springer Books, in: Gerard Assayag & Hans Georg Feichtinger & Jose Francisco Rodrigues (ed.), Mathematics and Music, chapter 2, pages 27-48, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-04927-3_2
    DOI: 10.1007/978-3-662-04927-3_2
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