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THE ELECTRONIC WORKS OF GYÖRGY LIGETI AND THEIR ...

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will be discussed in the last chapter) each formant strand can be defined by its pitch (in<br />

Herz) and duration (in centimeters of tape, or fractions of seconds), the variety of<br />

materials in Artikulation are blended to a much higher degree through techniques of<br />

synchronization, ring-modulation, and so forth, distancing the final output from clearly its<br />

perceptible parts. This is particularly true when Ligeti uses small durations in combination<br />

with each other. The smallest unit of tape which Ligeti used was 1 cm., equivalent to<br />

0.013 sec., a duration which would not allow the clear perception of values in pitch, let<br />

alone other basic parameters. To select a meaningful segment, one must often take a<br />

composite of tape pieces which could differ widely in any number of dimensions. Thus it<br />

will be necessary, at times, to acknowledge that the minimum perceptible unit is already<br />

contains contradictory values in certain oppositions. An example of such a state is given<br />

by the right channel at 2'34", towards the end of Region K, shown below by the amplitude<br />

graph in Figure 3.1a. This example, magnified greatly, shows six individual wave forms<br />

representing six different kinds of impulses, varying in register, attack-strength and so<br />

forth. But this moment is quite brief and it occurs in the midst of other sounds in the left<br />

channel. When heard in the context of the piece, as shown in Figure 3.1b it is perceived as<br />

a single object because of its differing spatial location, but upon further investigation is<br />

found to contain a variety of individual units.<br />

Unfortunately, the specific categories which Ligeti used are impossible to<br />

reconstruct–his sketches are incomplete, and sometimes inconsistently labeled. So rather<br />

than using these categories (which included rather vague, descriptions like “barking” or<br />

“coughing”), I will follow Robert Cogan’s system of sonic oppositions, described in depth<br />

110

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