Harmonizations of Time with Non Periodic Ordered Structures in Discrete Geometry and Astronomy

  • Juan García Escudero
Conference paper

DOI: 10.1007/978-3-540-31807-1_8

Part of the Lecture Notes in Computer Science book series (LNCS, volume 3310)
Cite this paper as:
García Escudero J. (2005) Harmonizations of Time with Non Periodic Ordered Structures in Discrete Geometry and Astronomy. In: Wiil U.K. (eds) Computer Music Modeling and Retrieval. CMMR 2004. Lecture Notes in Computer Science, vol 3310. Springer, Berlin, Heidelberg

Abstract

Non periodic ordered tilings can be used for the generation of discrete structures in the time and frequency domains. The Fourier spectrum of impulse distributions ordered according with certain types of aperiodic ordered temporal sequences described by Lindenmayer systems shows a discrete part . In order to appy these ideas the main tools belong to discrete geometry and number theory. These techniques provide a connection between rhythms and harmonic fields which may have a natural phenomena basis when observational data of certain types of variable stars are analyzed. The pulsation of some semiregular and delta scuti stars is reflected in their light curves which can be modelled by means of sinusoidal sequences related with the golden number.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Juan García Escudero
    • 1
  1. 1.Facultad de CienciasUniversidad de OviedoOviedoSpain

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