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THE ELECTRONIC WORKS OF GYÖRGY LIGETI AND THEIR ...

THE ELECTRONIC WORKS OF GYÖRGY LIGETI AND THEIR ...

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Here it becomes evident that there is an axis of symmetry around 1'40.7", and<br />

furthermore, the material which surrounds this axis derives from that which first occurred<br />

in Section B at 1'10". Ligeti retrogrades the material from 1'10" to approximately 1'23"<br />

(the end of Section B), and uses this to approach the axis of symmetry, saving the original<br />

form for the other side of this axis. Thus the retrograde statement begins at 1'27.7" and<br />

continues to 1'40.7" while the prime form begins at 1'40.7" and continues to the end of the<br />

section.<br />

The intervening material between 1'23" and 1'27.7" consists of similar material, but<br />

transposed; this is most noticeable in the Type I material, which can now be seen in the<br />

register between 3614 Hz and 5886 Hz, significantly lower than anywhere in the B<br />

section, where 6022 Hz was the lower boundary for this type of material. This additional<br />

material resembles the original form of the Type I material, accelerating the pace of<br />

glissandi; moreover, it continues, and thus appears with the retrograded form of the<br />

original excerpt leading into the axis at 1'40". This additional material also appears in the<br />

continuation after this axis, now in its retrograde form, but along with the prime form of<br />

the larger excerpt.<br />

This combination of retrograde and prime forms resembles the stated form of the<br />

entire piece, and is one of the first connections between the mid-level and large-scale<br />

structure of the composition. Here, however, the prime and retrograde are successive,<br />

and will thus make an invariant shape when reversed in the second half of the piece (i.e.<br />

the ideal shape of this passage as a whole will look and, moreover, sound the same when it<br />

is retrograded). The uneven filtering on each side of the axis of symmetry will, however,<br />

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