An abstract approach to music.

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Description

In this article we have outlined a formal framework for an abstract approach to music and music composition. The model is formulated in terms of objects that have attributes, obey relationships, and are subject to certain well-defined operations. The motivation for this approach uses traditional terms and concepts of music theory, but the approach itself is formal and uses the language of mathematics. The universal object is an audio wave; partials, sounds, and compositions are special objects, which are placed in a hierarchical order based on time scales. The objects have both static and dynamic attributes. When we realize a ... continued below

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12 p.

Creation Information

Kaper, H. G. & Tipei, S. April 19, 1999.

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Description

In this article we have outlined a formal framework for an abstract approach to music and music composition. The model is formulated in terms of objects that have attributes, obey relationships, and are subject to certain well-defined operations. The motivation for this approach uses traditional terms and concepts of music theory, but the approach itself is formal and uses the language of mathematics. The universal object is an audio wave; partials, sounds, and compositions are special objects, which are placed in a hierarchical order based on time scales. The objects have both static and dynamic attributes. When we realize a composition, we assign values to each of its attributes: a (scalar) value to a static attribute, an envelope and a size to a dynamic attribute. A composition is then a trajectory in the space of aural events, and the complex audio wave is its formal representation. Sounds are fibers in the space of aural events, from which the composer weaves the trajectory of a composition. Each sound object in turn is made up of partials, which are the elementary building blocks of any music composition. The partials evolve on the fastest time scale in the hierarchy of partials, sounds, and compositions. The ideas outlined in this article are being implemented in a digital instrument for additive sound synthesis and in software for music composition. A demonstration of some preliminary results has been submitted by the authors for presentation at the conference.

Physical Description

12 p.

Notes

OSTI as DE00011763

Medium: P; Size: 12 pages

Source

  • JIM '99 (Journees d'Informatique Musicale), Paris (FR), 05/17/1999--05/19/1999

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  • Report No.: ANL/MCS/CP-98805
  • Grant Number: W-31109-ENG-38
  • Office of Scientific & Technical Information Report Number: 11763
  • Archival Resource Key: ark:/67531/metadc619589

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  • April 19, 1999

Added to The UNT Digital Library

  • June 16, 2015, 7:43 a.m.

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  • April 6, 2017, 7:55 p.m.

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Kaper, H. G. & Tipei, S. An abstract approach to music., article, April 19, 1999; Illinois. (digital.library.unt.edu/ark:/67531/metadc619589/: accessed September 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.