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. . . I have never established
any direct relationship
between music and mathematics, only simple relations of comparison. Because
mathematics is the science with the most developed methodology at the present
time, I have taken it as an example that may help us to fill the gaps in
our present system. I have tried in some way to lay the foundations of
a methodology of music which must be detached, as such, from the methodology
of mathematics
with which I have tried to establish an analogy. Each discipline
has its own proper objects and methods, and its aims are specifically and
exclusively its own. The last thing I want to do is to introduce any misunderstanding
on this point and then to be told that I am ‘reducing’ musical
functions
to mathematical functions. Others have in fact done this and shown thereby
that they are not aware of the specific nature of each of these two universes.
Pierre Boulez
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