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Symmetry-Canon: Music and Mathematics, Painting and Graphicization “Perpetuum Mobile”

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Abstract

To the research of the symmetrical canon, the dynamic form constantly is the structure of the musical-mathematical-pictorial-graphicization variably. The series of symmetrical canon: in Music and Mathematics, from counterpoint to diagonalisation, from topology to Perpetuum mobile, constitutes creatively the artistical and scientifical symmetry.

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References

  1. Arlandi G.F., 1988, Il paradigma tetragonos nel Progetto di Semiotica delia Cultura evoluzionistica dalla Cosmogenesi alla Post-Mediogenesi, Evolution of Culture: 9-93, (ed.) W.A. Koch, Bochum: Brockmeyer, 1989

    Google Scholar 

  2. Arlandi G.F. et I. Zelenka, 1974–75, 9 jeux picturaux et musicaux des points et des lignes, Como-Genève, Perpetuum mobile, Graphicisation cm.120×600, Computermusic t.30′, Como: Autunno Musicale, Laboratorio suono-immagine, Villa Olmo, 1980

    Google Scholar 

  3. Bach J.S., 1749-50, Die Kunst der Fuge, London-Mainz-New Jork-Tokyo-Zürich: Eulemburg

    Google Scholar 

  4. Boole, G., 1854, Diagonalisation of the ordered pairs, An Inve stigation of the Law of Thought, London, (ed.) Jourdain P.E.B. New York, 1951, (ed.) Mendelson E., New Joyk: McGraw-Hill (Schaum): 2.18, 1970

    Google Scholar 

  5. Calderara A., 1968, Misura di luce, Serigrafie di Calderara e poesie di Murillo Mendes, Roma: Magma

    Google Scholar 

  6. Cantor G., 1874) Diagonalisation in equipotentiality, Mathematik 1, (ed.) Steiner H.G., Frankfurt-Hamburg: Fischer Bücherei KG, 1961

    Google Scholar 

  7. Clementi M., 1788, Gradus ad Parnassum, London-Mainz-New York-Tokyo-Zürich: Eulenburg

    Google Scholar 

  8. Dallapiccola L., 1952, Quaderno musicale di Annalibera for pi ano transcribed for orchestra: Variations, London-Mainz-New York-Tokyo-Zürich: Eulenburg, 1954

    Google Scholar 

  9. Escher M.C., 1965, Möbius Strips, xylography, Amsterdam: Beei drecht, 1982

    Google Scholar 

  10. Hjelmslev L., 1943, Prolegomena to a Theory of language, (ed.) Whitfield F.J., University of Wisconsin, 1961

    Google Scholar 

  11. Jakobson R. et Pomorska K., 1980, Dialogues, Paris: Flammarion

    Google Scholar 

  12. Koch W.A., 1986, Evolutionäre Kultursemiotik, Bochum: Brockmeyer

    Google Scholar 

  13. Möbius A.F., 1869, Endless Ribbon, Topology, (ed.) Patterson E.M. University Mathematical Texts, St.Andrews, Oliver and Boyd LTD, 1963

    Google Scholar 

  14. Saussure F. de, 1915, Cours de linguistique générale,(ed.) Mauro T. de, Paris: Payot, 1983

    Google Scholar 

  15. Walter J., 1542, Kanontextbuch, London-Mainz-New York-Tokyo-Zürich: Eulenburg

    Google Scholar 

  16. Zaffiri E., 1968, Progetto Q/36 quadrato, Due Scuole di musica elettronica in Italia, 29-50, Milano: Silva

    Google Scholar 

  17. Zelenka I., 1975, 9 jeux picturaux et musicaux des points et des lignes avec Arlandi G.F., Perpetuum mobile, Como: XIV° Au tunno Musicale, Laboratorio suono-immagine, Villa Olmo, 1980

    Google Scholar 

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© 1996 Springer-Verlag Tokyo

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Arlandi, G.F. (1996). Symmetry-Canon: Music and Mathematics, Painting and Graphicization “Perpetuum Mobile”. In: Ogawa, T., Miura, K., Masunari, T., Nagy, D. (eds) Katachi ∪ Symmetry. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68407-7_11

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  • DOI: https://doi.org/10.1007/978-4-431-68407-7_11

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-68409-1

  • Online ISBN: 978-4-431-68407-7

  • eBook Packages: Springer Book Archive

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