Music and the Making of Modern Science
92 Chapter 6 a quantity like 8 is comparable to integers, still “ the mind is in this case constantly perplexed ” by its irratio ...
Descartes’s Musical Apprenticeship 93 (which previous theorists treated first), Descartes shows that we feel number with the ful ...
94 Chapter 6 which are several well known to him from musical theory, such as^43 ,^25681. Perhaps there is no connection in his ...
Descartes’s Musical Apprenticeship 95 a plucked string, which he clearly considers a direct continuation of the problem of the p ...
96 Chapter 6 of a purely imaginary world, which developed into his Trait é du Monde. Galileo ’ s Dia- logues on the Two Chief Wo ...
Descartes’s Musical Apprenticeship 97 This amazing letter ends with a larger consideration of the nature of sound that seems to ...
98 Chapter 6 string is the simplest example, reduced to a single dimension, of vibrating membranes and solids. Thus, this proble ...
Descartes’s Musical Apprenticeship 99 our sensation of light as an experience of pressure registered by the eyes, essentially so ...
100 Chapter 6 was not able to embed that speculation into a coherent picture, as Descartes had. Des- cartes ’ s decentering of t ...
Descartes’s Musical Apprenticeship 101 Figure 6.6 Descartes ’ s diagram of the cosmos from Le Monde , showing our solar system ( ...
102 Chapter 6 Though Descartes himself may have continued to have such interests, at least as solicited by Mersenne, the music m ...
Advances in mathematics and natural philosophy owe a great deal to conversation, whether in person or via correspondence, contra ...
104 Chapter 7 The last of six children born to a provincial laboring family, Mersenne did not come from the privileged world of ...
Mersenne’s Universal Harmony 105 Mersenne reviews the planetary observations expressed in terms of their consonances or dissonan ...
106 Chapter 7 AB motets in order to dedicate them to the great Sun, which is immobile and more truly moves all creatures at will ...
Mersenne’s Universal Harmony 107 Trinity and the number three, descending into the created world as larger and larger numbers co ...
108 Chapter 7 Figure 7.2 “ The System of Robert Fludd, ” from Mersenne, Trait é de l ’ harmonie universelle (1627). Correcting F ...
Mersenne’s Universal Harmony 109 natural philosophy. Music played a crucial role in the discoveries that Mersenne himself made a ...
Figure 7.3 Frontispiece of Mersenne, Harmonie Universelle (1636). The motto is drawn from Psalm 70:22: “ For I will also confess ...
Mersenne’s Universal Harmony 111 Mersenne also emphasizes that the investigations of sound and light mutually clarify each other ...
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