论文标题
结,音乐和DNA
Knots, Music and DNA
论文作者
论文摘要
音乐手势将分数的符号层连接到声音的物理层。我在这里专注于音乐手势的数学理论,并提出它的概括包括辫子和结。这样,可以扩展形式主义以涵盖更多的案例研究,尤其是在进行手势方面。此外,在编织单体类别的框架中,可以将涉及比较和相似性的最新发展和相似之处。由于结和辫子可以应用于音乐和生物学(例如,它们适用于打结的蛋白质),所以我以新的音乐演绎DNA结束了文章。
Musical gestures connect the symbolic layer of the score to the physical layer of sound. I focus here on the mathematical theory of musical gestures, and I propose its generalization to include braids and knots. In this way, it is possible to extend the formalism to cover more case studies, especially regarding conducting gestures. Moreover, recent developments involving comparisons and similarities between gestures of orchestral musicians can be contextualized in the frame of braided monoidal categories. Because knots and braids can be applied to both music and biology (they apply to knotted proteins, for example), I end the article with a new musical rendition of DNA.