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Pitch to Rhythm :: Rhythm to Pitch (Excerpt)

Authors: Andrew Lucia with Christopher Lee and Matthew Lake
*Published in Leonardo Music Journal Number 20, MIT press. Link to abstract and article.

 

andrew lucia stockhausen elektronische musik studie II
harmonic averaged sereis #1

 

andrew lucia stockhausen elektronische musik studie II
semitone series #1

 

andrew lucia stockhausen elektronische musik studie II
harmonic series #1

 

andrew lucia stockhausen elektronische musik studie II
fibonacci series #1

 

andrew lucia stockhausen elektronische musik studie II
semitone averaged series #1

 

andrew lucia stockhausen elektronische musik studie II
semitone averaged series #2

 

"Abstract

Inspired by two early works of Karlheinz Stockhausen, the authors visualize tonal and rhythmic sonic principles utilized by the composer in the pieces Elektronische Musik Studie II and Kontakte. Recognizing frequency as an objective attribute of sonic structure, our studies were inspired by notions of perceptual rhythm and pitch manipulation present in Kontakte and generative material aspects of additive synthesis explored in Elektronische Musik Studie II. Approaching this topic with backgrounds in architecture, the authors’ interests lie largely in visualizing the nested spatial and phenomenal potentials of the works.

Introduction: A Transformation at the Threshold

To the human, the transformation of rhythm to pitch occurs at a particular perceptual threshold of roughly 16 to 20 Hz. For example, a sonic rhythm sped up above roughly 20 pulses per second will blur perceptually from a rhythm to a pitch. For our studies, we specifically examine these gaps between each new bit of information received by an observer. These gaps can exist spatially as the interval between each bit, or temporally as the duration between each bit. Our investigations presented here visually demonstrate formal aspects of underlying frequency space and structure inspired by the examination of two particular works of the composer Karlheinz Stockhausen; Kontakte and Elektronische Musik Studie II."

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Research. Originally developed for UPennDesign Graduate Seminar; Form and Algorithm. Instructurs Cecil Balmond and Daniel Bosia