Hypergestures in complex time: Creative performance between symbolic and physical reality

Maria Mannone, Guerino Mazzola

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Scopus citations

Abstract

Musical performance and composition imply hypergestural transformation from symbolic to physical reality and vice versa. But most scores require movements at infinite physical speed that can only be performed approximately by trained musicians. To formally solve this divide between symbolic notation and physical realization, we introduce complex time (C-time) in music. In this way, infinite physical speed is “absorbed” by a finite imaginary speed. Gestures thus comprise thought (in imaginary time) and physical realization (in real time) as a world-sheet motion in space-time, corresponding to ideas from physical string theory. Transformation from imaginary to real time gives us a measure of artistic effort to pass from potentiality of thought to physical realization of artwork. Introducing C-time we define a musical kinematics, calculate Euler-Lagrange equations, and, for the case of the elementary gesture of a pianist’s finger, solve corresponding Poisson equations that describe world-sheets which connect symbolic and physical reality.

Original languageEnglish (US)
Title of host publicationMathematics and Computation in Music - 5th International Conference, MCM 2015, Proceedings
EditorsTom Collins, David Meredith, Anja Volk
PublisherSpringer- Verlag
Pages137-148
Number of pages12
ISBN (Print)9783319206028
DOIs
StatePublished - Jan 1 2015
Event5th International Conference on Mathematics and Computation in Music, MCM 2015 - London, United Kingdom
Duration: Jun 22 2015Jun 25 2015

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9110
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other5th International Conference on Mathematics and Computation in Music, MCM 2015
CountryUnited Kingdom
CityLondon
Period6/22/156/25/15

Keywords

  • Complex time
  • Euler-lagrange equation
  • Hypergestures
  • Performance theory
  • String theory
  • World-sheets of space-time

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