Music and the Making of Modern Science

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252 Chapter 16


Theory of Sound (1877) refers only occasionally to musical matters.^21 Rayleigh makes
clear that his real subject is “ the theory of Vibrations in general ” ; he stresses “ the estab-
lishment of general theorems by means of Lagrange ’ s method, ” a sophisticated mathemati-
cal technique, rather than the far more empirical, musically oriented approach of
Helmholtz.^22 Rayleigh, and seemingly Balmer also, seemed to think that the sheer physi-
cality of music was best sublimated into disembodied theory, as if the more mathematical
representation were to be accounted more true, or at least most general.
It would be too facile to conclude that they and others were simply ashamed of music
as atavistic or unscientific; arguably, they treated music as an empirical level on which the
modern edifice of acoustics was built. But that completed building necessarily would cover
and hide the foundations on which it rested. Thus, in Balmer ’ s later publications on spectra,
the musical analogy with which he began faded into the background as he became involved
in more and more detailed calculations of spectra for elements besides hydrogen; the others
who followed his lead into this field do not mention acoustics or overtones at all, as if
they had been merely suggestive scaffolding no longer relevant once they had given birth
to the mathematical theory, whose general terms carried no reference to its sonic
beginnings.^23
This process might be considered an example of what Edmund Husserl called “ sedi-
mentation or traditionalization, ” the modern scientist ’ s constitutional proclivity to assume
and subsume prior foundational work so as to incorporate “ the constant presuppositions
of his [own] constructions, concepts, propositions. ” He goes on: “ Are science and its
method not like a machine, reliable in accomplishing obviously very useful things, a
machine everyone can learn to operate correctly without in the least understanding the

Figure 16.4
Balmer ’ s 1885 table showing his calculations, compared to contemporary observations.
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