Systema in De institutione musica - connection of arithmetic, geometry and music

Vol.48,No.2(2013)

Martin Celhoffer

https://doi.org/10.5817/MB2013-2-2

Stable URL (handle):
http://hdl.handle.net/11222.digilib/129650

• Abstract
• References
• Metrics

Abstract

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.

Keywords:
tetrachord; systema teleion; De institutione musica; Greek genera; quadrivium

Pages:
23–32

References

BOETHIUS, Anicius Manlius Severinus. Fundamentals of Music. Překl. Calvin M. Bower. Ed. Claude V. Palisca. New Haven & London: Yale University Press, 1989.

CELHOFFER, Martin. Sectio canonis. Geometrická konstrukce hudebních intervalů řeckého systema teleion. Opus musicum, 2012, roč. 44, č. 2, s. 59–67.

ČERNÝ, Miroslav K. Hudba antických kultur. Praha: Academia, 2006.

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.

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.

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.

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.

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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