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Combinatorics, Composition, Copia: Mersenne’s Permutations as Rhetoric of Abundance
Music Theory Spectrum Pub Date : 2023-02-07 , DOI: 10.1093/mts/mtac026
André Redwood

This article seeks to explain the meaning and function of Mersenne’s exhaustive lists of note permutations. As is true for all of Mersenne’s labors, the permutations are at their deepest level explicable in terms of his religious commitments—in this case, his faith in the ineffable plenitude of God’s creation. Yet, Mersenne also intended the permutations and the combinatorial procedures that generate them to serve as the foundation of a pedagogy of compositional invention. That pedagogy, this article proposes, is tacitly informed by the rhetorical notion of copia, most comprehensively theorized by Erasmus in his influential De copia.

中文翻译:

组合学、作文、Copia:作为丰富修辞的梅森排列

本文旨在解释梅森详尽的音符排列列表的含义和功能。正如梅森的所有工作一样,这些排列在最深层次上可以用他的宗教信仰来解释——在这种情况下,他对上帝创造的不可言喻的丰富性的信仰。然而,梅森还打算将生成它们的排列和组合程序作为构图发明教学法的基础。这篇文章提出,这种教学法是通过 copia 的修辞概念来默示的,伊拉斯谟在他有影响力的 De copia 中最全面地理论化了这一概念。
更新日期:2023-02-07
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