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Systema v De institutione musica – propojení aritmetiky, geometrie a hudby | Digital Library of the Faculty of Arts Masaryk University
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Systema v De institutione musica – propojení aritmetiky, geometrie a hudby
Systema in De institutione musica - connection of arithmetic, geometry and music
Source document: Musicologica Brunensia. 2014, vol. 48, iss. 2, pp. [23]-32
Persistent identifier (DOI): https://doi.org/10.5817/MB2013-2-2
Stable URL (handle): http://hdl.handle.net/11222.digilib/129650
License: Not specified license
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This study deals with the methods of derivation of the Greek Systema Teleion in Boethius' influential treatise De Institutione Musica. Boethius applied two basic methods of division: geometrical and arithmetical. The geometrical one is related to diatonic division of a string of the monochord, the arithmetical one is related to detailed description of tetrachord species.
tetrachord; systema teleion; De institutione musica; Greek genera; quadrivium
[1] BOETHIUS, Anicius Manlius Severinus. Fundamentals of Music . Překl. Calvin M. Bower. Ed. Claude V. Palisca. New Haven & London: Yale University Press, 1989.
[2] CELHOFFER, Martin. Sectio canonis. Geometrická konstrukce hudebních intervalů řeckého systema teleion . Opus musicum, 2012, roč. 44, č. 2, s. 59–67.
[3] ČERNÝ, Miroslav K. Hudba antických kultur . Praha: Academia, 2006.
[4] GODOFREDUS, Friedlein (ed.). Anicii Manlii Torquati Severini Boetii De institutione arithmetica libri duo: De institutione musica libri quinque. Accedit geometria quae fertur Boetiis . Lipsko: B.G.Teubner, 1867.
[5] GUIDO z Arezza. Epistola de ignoto cantu directa . In Scriptores ecclesiastici de musica sacra potissimum, 3 sv. Martin Gerbert (ed.). St. Blaise: Typis San-Blasianis, 1784, 2:43–50.
[6] GUIDO z Arezza. Micrologus . In Scriptores ecclesiastici de musica sacra potissimum, 3 sv. Martin Gerbert (ed.). St. Blaise: Typis San-Blasianis, 1784, 2:2–24.
[7] COTTO, Johannes de. Musica (Ex MS. San-Blas. saec. XII. collato cum Vindobonensi & Lipsiensi . In Scriptores ecclesiastici de musica sacra potissimum, 3 sv. Gerbert, Martin (ed.). St. Blaise: Typis San-Blasianis, 1784, 2:230–265.
[8] MATHIESEN, Thomas J. An Annotated Translation of Euclid's Division of a Monochord . Journal of Music Theory, 1975, roč. 19, č. 2, s. 249–252.
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