5 – Microtemporal listening dimensions: Timbre, Harmony and Pitch height
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express a sinuous mountain silhouette by using portions of circles. In
fact, it is thousands of times more complicated. The intelligent ear is
infinitely demanding, and its voracity for information is far from
having been satisfied. (Xenakis, 1971)
The sensation of timbre is a joyful challenge to the intelligent ear, and the
description of timbre is a challenge to researchers in psychoacoustics.
Jean-Claude Risset and David Wessel (1982) have proposed a solution
to the problem of describing the transient part of timbre in their method of
analysis and synthesis. In the mid-sixties, Risset was working on computer
synthesis of brass-like tones. A first attempt was to synthesize tones with
fixed spectra of partials derived from analyses of trumpet tones. These
synthesized tones proved unconvincing when compared to natural
trumpet tones.
The next step was to record musical fragments played by a professional
trumpet player and analyze the trumpet sound in the form of spectro-
grams, visualizing the partials of the sound spectrum and the relative
predominance of certain frequency areas. The spectrograms showed that,
for a given intensity, the trumpet sound has a formant structure, that is, the
partials lying within a certain frequency range are enhanced as a result of
the characteristic resonance of the instrument. A peak in the frequency
spectrum was found between 1000 and 1500 Hz.
As a third step of the exploration, selected trumpet tones were
converted to digital form and submitted to a type of computer analysis
that yields a display of each partial as a curve showing the growth and
decay in time of that partial. On the basis of such an analysis, artificial
trumpet tones were then produced by a sound-synthesis computer
program. The resulting synthetic tones proved undistinguishable from the
original trumpet tones, so it was concluded that the third step of the
analysis and synthesis procedure had captured the aurally important
features of sound. A diagram of these features is shown in Fig. 5.1.
ng.