Editing Granular synthesis (section)

== History ==
In 1947, Dennis Gabor introduced the idea that sounds can be represented by a series of elementary "grains," each grain being a short pulse containing both temporal and frequency information. Greek composer Iannis Xenakis is known as the inventor of the granular synthesis technique, having expanded upon Gabor's theoretical foundation.<ref>Xenakis, Iannis (1971) ''Formalized Music: Thought and Mathematics in Composition''. Bloomington and London: Indiana University Press.</ref>{{page missing|date=October 2018}}

{{Quote|The composer Iannis Xenakis (1960) was the first to explicate a compositional theory for grains of sound. He began by adopting the following [[lemma (logic)|lemma]]: "All sound, even continuous musical variation, is conceived as an assemblage of a large number of elementary sounds adequately disposed in time. In the attack, body, and decline of a complex sound, thousands of pure sounds appear in a more or less short interval of time <math>\Delta t</math>." Xenakis created granular sounds using analog tone generators and tape splicing. These appear in the composition ''Analogique A-B'' for string orchestra and tape (1959).<ref name="Roads169"/>}}

[[Curtis Roads]] was the first to implement granular synthesis on a computer in 1974. <ref>{{Cite book|last=Roads|first=Curtis|title=Microsound|publisher=MIT Press|year=2001|isbn=0-262-18158-4|location=Cambridge, Massachusetts|language=English}}</ref>

Twelve years later, in 1986, the Canadian composer [[Barry Truax]] implemented real-time versions of this synthesis technique using the DMX-1000 Signal Processing Computer.<ref>{{cite journal|jstor=3679938|doi=10.2307/3679938|title=Real-Time Granular Synthesis with a Digital Signal Processor|journal=Computer Music Journal|volume=12|issue=2|pages=14–26|year=1988|last1=Truax|first1=Barry}}</ref> "Granular synthesis was implemented in different ways by Truax."<ref name="Roads169" />