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THE ELECTRONIC WORKS OF GYÖRGY LIGETI AND THEIR ...

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the descent of this material, which follows, and, indeed, extends the descent heard through<br />

R Section F . On the other, the sine-tone counterpoint is now symmetrical, and this<br />

ambiguous direction is a hallmark of this second stage. This transitional area is shown<br />

below in Figure 2.20.<br />

In the spectrograph, one can clearly see the axis of symmetry around, 5'39", but a<br />

number of factors obscure the symmetry of these four sine-tone strands. One such factor<br />

is the fact that the two-part counterpoint of the original Section D did not contain any<br />

voice crossing, but when the lines are doubled with their retrogrades, both pairs cross<br />

freely, making individual voices hard to follow. The symmetry of this area is also<br />

disturbed by the use of filtering, which eliminates progressively more material as the<br />

section goes on, and in particular from 5'45" onwards where only traces of the original<br />

remain.<br />

Invariant Passage (Reprise of Sections E and F)<br />

The passage from 5'53" to 6'51" contains material from a variety of sections,<br />

filtered into four separate events. Event 1, which runs from 5'53" to 6'01", contains<br />

material from Section E; Event 2 (6'01-6'09") reveals material from Section C; Event 3<br />

(6'09-6'26") uses excerpts from Sections B and E; and the final event (6'26-6'43") contains<br />

material from Section F, and is followed by a long rest, as shown below in Figure 2.21.<br />

While these events come from different sections, they all share a common trait,<br />

emphasizing invariance. Event 1 consists of several of the invariant gestures found in<br />

Section E. The familiar ring-modulated invariant gestures centered on 335, 3200 and<br />

84

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