The sound system , or rather the sound-sound system ( German: Tonsystem , from the Greek. Σύστημα ) is the material basis of the musical and logical relations of harmony . The term goes back to the ancient Greek theory of music ( harmonica ), where the word dr. σύστημα denoted any scale from three stages or more (all possible stages in the scale covered the so-called Complete system ).
The doctrine of the "sound system" is actively practiced in the German science of music, where the "Tonsystem" means a lot of sound heights ( German Tonbestand, Tonvorrat , letters. - "sound reserve", cf. English pitch space - "sound space"), organized according to some acoustic and formal-schematic criteria (range breadth, the number of turned on heights, crowded intervals, etc.) and suitable for implementation (deployment) in live musical harmony. Schematically, this set is represented, as a rule, in the form of a linear sequence of sounds ( trichord , tetrachord , pentachord , hexachord and other scale ), in the form of a fifth circle (especially for European diatonic and chromatic systems) or a spiral (English spiral array model ), in in the form of two-dimensional lattice diagrams [1] , other graphic models.
In domestic science, the discipline of harmony is involved in the study of abstract (“doladic”) high-altitude systems in the part of the Generation of interval systems . The mathematical-acoustic principles of high-altitude systems, mainly musical systems (including temperament ), are an object of research in musical acoustics .
See also
- High class
- Pitch class space
- Euler sound grid
Notes
- ↑ See, for example, Joe Monzo. Harmonic Lattice Diagrams . The idea of constructing such diagrams goes back to L. Euler ( Tentamen novae theoriae musicae, 1739 ; De harmoniae veris principiis per speculum musicum repraesentatis, 1773 ); the representation of the expanded pure (quintz-tertz) system in the form of a hexagonal lattice belongs to S. Tanake ( Studien im Gebiete der reinen Stimmung, 1890 ), who developed the ideas of G. Riemann . In Russia in the 1980s, P. N. Meshchaninov (1944-2006) built similar diagrams in type.
Literature
- Dahlhaus C. Tonsystem // Riemann Musiklexikon. 12te Auflage. Sachteil. - Mainz, 1967. - SS. 970-971.
- Kholopov Yu. N. Sound System // Musical Encyclopedic Dictionary / Ch. ed. G.V. Keldysh . - M .: Sov. Encyclopedia , 1990. - S. 200. - 150,000 copies. - ISBN 5-85270-033-9 .
- Lerdahl F. Tonal pitch space. - Oxford: Oxford University Press, 2001 .-- ISBN 0-19-505834-8 .