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Mathematics and music: the architecture of nature

机译:数学和音乐:自然建筑

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摘要

The link between mathematics and music has ancient origins and, over the centuries, it has been adding more and more new content. Mathematics and music are two languages apparently very different but in reality they are the two universal languages: numbers and notes are used worldwide as a global language. In this work we see how math and music provide the keys for understanding the wonderful book of Nature. We discuss in particular the "design of the cosmos" as proposed by Kepler in the Harmonice mundi: the German astronomer's survey on the architecture of the cosmos is based, in fact, on geometry, with reference to static aspects, and on music, with reference to kinematics. This theoretical framework represents not only the link between the astronomical revolution and the scientific revolution of the seventeenth century, but also the central point for the definition of the Newton's law of universal gravitation.
机译:数学与音乐之间的联系源远流长,并且在过去的几个世纪中,它一直在增加越来越多的新内容。数学和音乐是两种明显不同的语言,但实际上它们是两种通用语言:数字和音符在全球范围内被用作一种全球语言。在这项工作中,我们将看到数学和音乐如何为理解自然奇妙的书提供关键。我们特别讨论开普勒(Kepler)在Harmonice mundi中提出的“宇宙设计”:德国天文学家对宇宙建筑的调查实际上是基于几何学,静态方面以及音乐,以及运动学参考。这一理论框架不仅代表了天文学革命与17世纪科学革命之间的联系,而且代表了牛顿万有引力定律定义的中心点。

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