Originally posted by aka Calum Da Jazbo
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I'm not in any way as qualified as many on this board to pronounce about serialism, but here's a go fwiw, taking Schoenberg's development of it as one example, since he is widely taken to be the main originator and influence.
Schoenberg's application of serial construction should be mentioned as applying to pitch organisation alone, because others who came in his wake - Milton Babbitt in the States, but several among the "Darmstadt Group" including Boulez, Barraque, Stockhausen, Berio, Maderna and Nono - went further in applying serial ideas to parameters other than pitch, such as timbre, rhythm, dynamics, location and movement of sounds in space, clarity/opacity, etc etc... But Schoenberg arrived seemingly semi-spontaneously at his particular discovery as a consequence of the increasing compression that had taken place in his evolving musical language, away from post-Wagnerian "extravagance", towards forms of expression conveying momentary experience and especially psychological response to the unexpected, the unforseen, and psychological responses to non-logically explicable situations and occurrences the everyday mind would have difficulty in "computing"; in short, he found himself developing a language that encrypted musically the abnormal, or that for which there could be no accounting according to habitual modes of thought and feeling. Having harmonically taken non-resolution to the point at which dissonant combinations of intervals, in chords etc, amounted to the employment of pitch groupings containing few pitch repetitions, in a context best demonstrated in the little piano pieces Op 19 of 1911 - Webern had already been "miniaturising" along these lines - Schoenberg gradually concluded that, bereft of the poetic or dramatic contexts he had depended on for larger pieces, and wanting to declare his and his pupils' continuity with the Austro-Germanic musical lineage he never lost allegiance to, he sought various contrapuntal and variational solutions to the problem of building musical narratives analogous with and equivalent to those of preceding tonal composers, going back all the way to late Beethoven and especially Bach, who had evolved contrapuntal formal complexes combining vertical and horizontal lines in various juxtapositions, including inversion, augmentation (expansion) and diminution (contraction), and eventually settled on expanding these ideas to take on board retrograde and retrograde inversion (did Bach use retrograde someone?) in the freed harmonic environment that allowed for integrity in terms of pitch sequencing. I.e. unlike Bach, or late Beethoven (of the quartets), atonality meant not having to comply, as Bach in the Goldberg Variations had had to, with "harmonic rectitude", when, say, combining a melodic statement with its reversal or upsiding.
I might come back and have a go at applications of serialism in jazz, but it really has played a minor role in jazz - as Evan Parker has said, atonality has been a more fruitful area within which to operate from the improviser's pov... for all sorts of reasons too complex to go into here - though I wouldn't mind betting that the "unexpected" has some kind of bearing common to both disciplines/ aesthetics.
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