Harmonic Vectors: essay for a systematics of harmonic progressions
DOI:
https://doi.org/10.5965/2525530402012017171Keywords:
Musical Theory and Analysis, Harmonic Progressions, Nicolas MeeùsAbstract
This is a Portuguese version of what its
author, Belgian musicologist Nicolas Meeùs (1944-), considered to be the founding
essay for his theory of harmonic vectors.
In it, Meeùs revisits the discussion of the
classification of harmonic progressions,
reviews the arguments of three of the 20th
century’s most important music theorists,
namely Hugo Riemann, Heinrich Schenker,
and Arnold Schoenberg, and acknowledges the contributions of earlier theoreticians, such as Jean-Philippe Rameau, Gottfried Weber, Anton Bruckner, and Simon
Sechter. The author also dialogues with his
contemporary Yitzhak Sadai’s then-recent
systematization, published in 1980. Finally,
Meeùs applies vector analysis to works of J.
S. Bach, Beethoven, and Chopin to illustrate his thesis that it is possible to reduce the
syntax of harmonic progressions to two
categories, the “vecteur dominant” and the
“vecteur sous-dominant”. This translation
of the French original, published in 1988
in Fascicules d’Analyse Musicale, received
some annotations by the present authors.
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