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THE ELECTRONIC WORKS OF GYÖRGY LIGETI AND THEIR ...

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‘timbre’ must be viewed not as a difficult psycho-acoustical problem, but as a<br />

sloppy habit. 27<br />

A number of music theorists have taken up this project and applied it differently to musical<br />

analysis and composition.<br />

Randall’s own discussion of the individual elements of timbre divides them into the<br />

following dimensions:<br />

1. Registral position (regardless of “fundamentals”)<br />

2. Intervallic spread<br />

3. Density<br />

4. Total number of elements in a set<br />

5. Distribution of relative amplitude over any set<br />

6. Physical place or places from which any set, or any element of a set, seems to<br />

28<br />

emanate.<br />

Elsewhere, he lists vibrato, tremolo, and envelope as elements that fall under the auspice<br />

of timbre, and here he states that, “this list could obviously be extended; but it is already<br />

sufficiently detailed to provide a basis for defining some musical operations on sets of<br />

partials–operations many of which may be viewed as attempts to capitalize upon the<br />

capacities of electronic media in order to subject to elaborate and continuous musical<br />

29<br />

structuring aspects of sound....” This list will need some expansion to be of analytical use<br />

for Ligeti’s music. Particularly problematic is the fact that this list was developed<br />

primarily for the presentation of a compositional design involving operations on sets of<br />

sine-tone partials, and does not have categories which describe the noise content of a<br />

particular sound.<br />

27J.K.<br />

Randall, “Theories of Musical Structure as a Source for Problems in Psycho-acoustical Research,”<br />

reprinted in Being About Music, vol. 1 (Red Hook, NY: Open Space Publications, 2003), 149.<br />

28J.K.<br />

Randall, “Operations on Waveforms,” reprinted in Being About Music vol. 1, 157.<br />

29Randall,<br />

“Operations on Waveforms,” 157.<br />

17

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