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一、数学与音乐1.音乐是感觉的数学,数学是理智的音乐你是否对乐器的形状有过研究?实际上许多乐器的形状和结构与各种数学概念有关,指数函数和指数曲线就是这样的概念,指数曲线的图像如图1所示.不管是弦乐器还是由空气柱发声的管乐器,如图2所示,它们的结构都反映出一条指数曲线的形状.19世纪数学家约翰·傅里叶,他证明所有乐声(器乐和声乐)都可用数学式来描述,这些数学式是简单的周期正弦函数的和.每一个声音有三个性质,即音高、音量
First, mathematics and music 1. Music is the mathematics of the sense, mathematics is the rational music Have you studied the shape of the instrument? In fact, the shape and structure of many musical instruments are related to various mathematical concepts, and exponential functions and exponential curves are such The concept of an exponential curve is shown in Fig. 1. Whether it is a stringed instrument or a wind instrument sounded by an air column, as shown in Fig. 2, their structures all reflect the shape of an exponential curve. 19th century mathematician John Curry Ye, he proved that all musical sounds (instrumental music and vocal music) can be described by mathematical formulas. These mathematical formulas are sums of simple periodic sine functions. Each sound has three properties, namely, pitch and volume.