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Music, nature and structural form

机译:音乐,自然和结构形式

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The simple harmonic relationships of western music are known to have links with classical architecture, and much has been written over the centuries about the concept of musical proportion in geometrical composition. However, it is possible to extend the link between music and structural form by noting that the well-tempered chromatic scale can be represented in terms of the frequencies of successive notes by a doubling logarithmic spiral. Musical harmonies, sequences and compositions can be given a geometric form and represented by a type of abstract art. These geometric figures resemble man-made structures, and the spirals on which they are based are similar to the shell structures of nature.
机译:众所周知,西方音乐的简单谐调关系与古典建筑有联系,并且在几个世纪以来,关于几何组成中的音乐比例的概念已有很多论述。但是,可以通过注意调和的色阶可以通过连续对数螺旋加倍来表示连续音符的频率来扩展音乐和结构形式之间的联系,这是可能的。音乐的和声,音序和作品可以采用几何形式,并以某种抽象艺术形式表示。这些几何图形类似于人造结构,并且它们所基于的螺旋类似于自然的壳结构。

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