Music and the Making of Modern Science
112 Chapter 7 From these observations follows an empirical proportionality between the vibrational frequency of a string and the ...
Mersenne’s Universal Harmony 113 clarity of their echo, did not depend on these factors. Though his monastic brethren would have ...
114 Chapter 7 Having used an instrument string to measure the frequency of sound and its laws, Mer- senne points out that “ if o ...
Mersenne’s Universal Harmony 115 Figure 7.5 Mersenne ’ s diagram showing the distances traversed by freely falling bodies (left) ...
116 Chapter 7 takes the ratios of these speeds to represent the musical ratio that they would sound at that terminal velocity. H ...
Mersenne’s Universal Harmony 117 played, ” by sympathetic vibration, “ since the single string of the monochords produce the sam ...
118 Chapter 7 Figure 7.7 (a) Mersenne ’ s list of the range of the trumpet, which omits the discordant seventh, eleventh, and th ...
Mersenne’s Universal Harmony 119 Figure 7.8 (a) Mersenne ’ s cross-sectional diagram of a bell. (b) Mersenne ’ s diagram of an o ...
120 Chapter 7 ecclesiastically suspect because it seemed to leave no room for the transubstantiation of bread and wine into divi ...
Though Isaac Newton considered poetry “ ingenious nonsense, ” music had a significant if limited place in his intellectual world ...
122 Chapter 8 Figure 8.1 A page from Newton ’ s undergraduate notebook, dated November 1665: “ ye distances of any two notes ” ( ...
Newton and the Mystery of the Major Sixth 123 In this passage, Newton independently puts forward an analogy between optics and m ...
124 Chapter 8 men are diversely affected by the same objects according to the diversity of their constitu- tion. To them of Java ...
Newton and the Mystery of the Major Sixth 125 the same proportion that a string is, between the end and the middle, to sound the ...
126 Chapter 8 Figure 8.2 Newton ’ s illustration (1675) of the analogy between spectral colors and the seven notes of the diaton ...
Newton and the Mystery of the Major Sixth 127 reflection ” — sudden seizures in the behavior of light — as a way to incorporate ...
128 Chapter 8 Figure 8.3 (a) A modern photograph of the light fringes seen next to a sharp edge. (b) Grimaldi ’ s 1665 diagram o ...
Newton and the Mystery of the Major Sixth 129 Figure 8.4 Newton ’ s rings. (a) A modern recreation of his experiment using two p ...
130 Chapter 8 Figure 8.5 Voltaire ’ s illustration of Newton ’ s musical analogy between musical notes and colors, from The Elem ...
Newton and the Mystery of the Major Sixth 131 case of light, his use of a similar proportion allows him to subsume the major six ...
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