Résumés
Abstract
Johann Sebastian Bach had already elaborated the tool of double inversion, inside the Contrapunctus “in stylo francese” of the Art of Fugue. However, the counterpoint tool of double inversion is typical for the two later pairs of fugues BWV 1080, 12-13 a, b. After an examination of the global asset of the Contrapunctus 6, a particular attention is shown to the technique of inversion (mirror) in relation to fugues 12 and 13. Consequently a brief, but methodical, analysis succeeds to demonstrate the existence of totally symmetrical thematic phases inside Contrapunctus 6. The existence of double inversion inside an earlier Contrapunctus can indicate the level of premeditated elaboration in the whole work. Additionally, it could also suppose a parallel or contiguous time of the compositional process among the BWV 1080, 6, 12 and 13, which could re-impose a new examination of the correct order of the Contrapuncti.
Keywords:
- analysis,
- Johann Sebastian Bach,
- fugue,
- inversion,
- mirror
Résumé
Cet article veut démontrer que Jean-Sébastien Bach avait déjà élaboré l’outil d’inversion complète (miroir) à l’intérieur du Contrapunctus in stylo francese de L’art de la fugue (BWV 1080, 6). L’outil de contrepoint de l’inversion complète est typique pour les deux paires ultérieures de fugues BWV 1080, 12-13 a, b. L’existence de l’inversion complète à l’intérieur d’un Contrapunctus antérieur (en relation avec les deux paires postérieurs) peut indiquer le niveau de préméditation dans l’élaboration du matériau de l’intégralité du recueil, en particulier dans la mesure où la notion de progression de complexité technique est concernée. En plus, il pourrait aussi supposer un temps parallèle ou contigu du processus de composition entre les BWV 1080, 6, 12 et 13, qui imposerait un nouvel examen de l’ordonnancement des fugues dans le recueil.
Mots-clés :
- analyse,
- Jean-Sébastien Bach,
- fugue,
- inversion,
- miroir
Parties annexes
Bibliography
- Alain, Olivier (1975), “Un supplément inédit aux Variations Goldberg de J.S. Bach,” Revue de Musicologie, t. 61, no 2, pp. 244–294.
- Alevizos, Konstantinos (2015a), “Formes cachées d’organisation rythmique dans le Contrapuntus iv (BWV 1080, 4) de L’Art de la Fugue,” http://www.musicologie.org/15/formes_cachees_d_organisation_rythmique.html, accessed 17 July 2019.
- Alevizos, Konstantinos (2015b), “L’Art de la fugue de Johann Sebastian Bach. La structure morphologique du Contrapunctus iv (BWV 1080, 4) : une fugue postérieure,” http://www.musicologie.org/15/l_art_de_la_fugue_de_johann_sebastian_bach.html, accessed 17 July 2019.
- Alevizos, Konstantinos (2019), “Parameters of Stretto Use inside the Contrapunctus 5 of the Art of Fugue by Johann Sebastian Bach (BWV 1080, 5),” Revue musicale OICRM, vol. 6, no 1, http://revuemusicaleoicrm.org/rmo-vol6-n1/parameters-of-stretto/, accessed 15 July 2019.
- Azzaroni Loris (2000), Ai confini della modalità. Le toccate per cembalo e organo di Girolamo Frescobaldi, Bologna, CLUEB.
- Bach, Johann Sebastian (c1742-1746), Die Kunst der Fuge, BWV 1080, Mus. Ms. Bach P 200, Staatsbibliothek zu Berlin – Preussischer Kulturbesitz, https://digital.staatsbibliothek-berlin.de/werkansicht?PPN=PPN86332598X&PHYSID=PHYS_0053&DMDID=, accessed 12 August 2019.
- Bagnall, Anne (1975), “The Simple Fugues,” in Christoph Wolff (ed.), “Seminar Report. Bach’s Art of Fugue: An Examination of the Sources,” Current Musicology, no 19, pp. 59–61, https://currentmusicology.columbia.edu/wp-content/uploads/sites/13/2016/09/current.musicology.19.full_.pdf, accessed 12 August 2019.
- Baker, Thomas (1975), “Bach’s Revisions in the Augmentation Canon,” in Christoph Wolff (ed.), “Seminar Report. Bach’s Art of Fugue: An Examination of the Sources,” Current Musicology, no 19, pp. 67–71, https://currentmusicology.columbia.edu/wp-content/uploads/sites/13/2016/09/current.musicology.19.full_.pdf, accessed 12 August 2019.
- Bitsch, Marcel, and Jean Bonfils (1981), La fugue, Paris, Presses Universitaires de France.
- Butler, Gregory G. (1983), “Ordering Problems in J. S. Bach’s Art of Fugue Resolved,” The Musical Quarterly, vol. 69, no 1 (Winter), pp. 44–61, https://doi.org/10.1093/mq/LXIX.1.44, accessed 12 August 2019.
- Butler, Gregory G., Stauffer, George B., and Mary Dalton Freer (ed.) (2008), About Bach, Urbana, University of Illinois Press.
- Chailley, Jacques (1967), “L’ordre des morceaux dans L’Art de la Fugue,” Revue de Musicologie, t. 53, no 2, pp. 110–136.
- Chailley, Jacques (1971), L’Art de la Fugue de J.-S. Bach, Paris, A. Leduc.
- Corten, Walter (1987), “Un renversement peut en cacher un autre, ou un aspect inédit du Contrepoint 18 de L’Art de la fugue,” Revue de Musicologie, t. 73, no 2, pp. 203–226.
- Corten, Walter (1988a), “La dernière Fugue. Pièce inachevée ou ouverture sur l’infini? Contribution à l’étude du Contrepoint BWV 1080, 19 de L’Art de la fugue de J.S. Bach », Analyse musicale, no 11, pp. 61–65.
- Corten, Walter (1988b), “L’Art de la Fugue de J.S. Bach. Un plan à ‘dé-chiffrer’?,” Analyse musicale no 13, pp. 75–79.
- Dentler, Hans-Eberhard (2000), L’Arte della fuga di Johann Sebastian Bach. Un’opera pitagorica e la sua realizzazione, Milano, Skira.
- Dickinson, Alan E. F. (1950), The Art of J.S. Bach, 2nd rev. ed., London, Hinrischen Edition.
- Dickinson, Alan E. F. (1956), Bach’s Fugal Works, with an Account of Fugue before and after Bach, London, I. Pitman.
- Dreyfus, Laurence (1996), Bach and the Patterns of Invention, Cambridge, Harvard University Press.
- Forkel, Johann-Nikolaus ([1802]2000), Vie de Johann-Sebastian Bach, Paris, Flammarion.
- Franck, Peter (2010), “‘A Fallacious Concept.’ Invertible Counterpoint at the Twelfth within the Ursatz,” Music Theory Spectrum, vol. 32, no 2 (Fall), pp. 121–144, https://doi.org/10.1525/mts.2010.32.2.121, accessed 12 August 2019.
- Gárdonyi, Zsolt (1966), La struttura della fuga di Johann Sebastian Bach, Milano, Ricordi.
- Gedalge, André (c1989), Μελέτη της φούγκας [Traité de la fugue], trad. Κ. Νάσος, Athens, Νάσος.
- Göncz, Zoltán (1996), “Reconstruction of the Final Contrapunctus of The Art of Fugue,” International Journal of Musicology, vol. 5, pp. 25–93.
- Göncz, Zoltán (2013), Bach’s Testament. On the Philosophical and Theological Background of the Art of Fugue, Lanham, The Scarecrow Press.
- Heinrich, Adel (1983), Bach’s Die Kunst Der Fuge. A Living Compendium of Fugal Procedures, with a Motivic Analysis of all Fugues, Lanham, University Press of America.
- Higgs, James (1876-1877), “Bach’s ‘Art of Fugue’,” Proceedings of the Musical Association, 3rd Session, pp. 45–73.
- Hofmann, Klaus (1996), Neue Ausgabe sämtlicher Werke [von] Johann Sebastian Bach, kritischer Bericht, Serie VII, Band 2, “Die Kunst der Fuge,” Kassel, Bärenreiter.
- Houten, Kees van, and Marinus Kasbergen (2003), Bach et le nombre. Une recherche sur la symbolique des nombres et les fondements ésotériques de ceux-ci dans l’oeuvre de Johann Sebastian Bach, Liège, Mardaga.
- Hughes, Nicholas (2006), Accident or Design? New Theories on the Unfinished Contrapunctus 14 in J. S. Bach’s The Art of Fugue BWV 1080, Ph.D. diss., The University of Auckland, https://researchspace.auckland.ac.nz/bitstream/handle/2292/392/01front.pdf?sequence=10, accessed 12 August 2019.
- Keller, Hermann (1991), Il Clavicembalo ben Temperato di J. S. Bach, Ricordi, Milan.
- Kermann, Joseph (2005), The Art of Fugue. Bach Fugues for Keyboard, 1715-1750, Berkeley, University of California Press.
- Lester, Joel (1989), Between Modes and Keys. German Theory, 1592-1802, Stuyvesant, Pendragon Press.
- Levarie, Siegmund, and Arnold Merrick (1943), “Fugue and Form,” Bulletin of the American Musicological Society, vol. 7 (October), pp. 15–17, https://doi.org/10.2307/829331, accessed 12 August 2019.
- Mann, Alfred ([1956]1987), The Study of Fugue, New York, Dover.
- Mizler, Lorenz Christoph (1754), Musikalische Bibliothek, vol. 4, Leipzig, Im Mizlerischer Bücher-Verlag, https://archive.org/details/MusikalischeBibliothek4.band1754, accessed 12 August 2019.
- Renwick, William (1991), “Structural Patterns in Fugue Subjects and Fugal Expositions,” Music Theory Spectrum, vol. 13, no 2 (Fall), pp. 197–218, https://doi.org/10.2307/745898, accessed 12 August 2019.
- Rivera, Benito V. (1978), “Bach’s Use of Hitherto Unrecognized Types of Countersubjects in the Art of Fugue,” Journal of the American Musicological Society, vol. 31, no 2, pp. 344–362, https://doi.org/10.2307/831001, accessed 12 August 2019.
- Schleuning, Peter (1993), Johann Sebastian Bachs “Kunst der Fuge.” Ideologien, Entstehung, Analyse, Kassel, Bärenreiter.
- Schweitzer, Albert ([1911]1966), Johann Sebastian Bach, New York, Dover.
- Sheldon, David A. (1990), “The Stretto Principle. Some Thoughts on Fugue as Form,” The Journal of Musicology, vol. 8, no 4 (Autumn), pp. 553–568, https://doi.org/10.2307/763535, accessed 12 August 2019.
- Spitta, Philipp ([1899]2008), Johann Sebastian Bach. His Work and Influence on the Music of Germany, 1685-1750, translated by Clara Bell and J. A. Fuller-Maitland, vol. 3, Amarillo, Jones Press.
- Stauffer, George (1985), “Bach as Reviser of his Own Keyboard Works », Early Music, vol. 13, no 2 (May), pp. 185–198, https://doi.org/10.1093/earlyj/13.2.185, accessed 12 August 2019.
- Tatlow, Ruth (1991), Bach and the Riddle of the Number Alphabet, Cambridge, Cambridge University Press.
- Tatlow, Ruth (2016), Bach’s Numbers. Compositional Proportion and Significance, Cambridge, Cambridge University Press.
- Tovey, Donald F. ([1931]1974), A Companion to The Art of Fugue, London/New York, Oxford University Press.
- Vartolo, Sergio (2008), Johann Sebastian Bach, Homo Universalis. Die Kunst Der Fugue, Firenze, SPES.
- Verchaly, André (1967), Review of the book L’Art de la Fugue by J.-S. Bach (“Introduction, analyse et commentaires par Marcel Bitsch”), Revue de Musicologie, vol. 53, no 2, pp. 192–194.
- Walker, Paul ([2000]2009), Theories of Fugue form the Age of Josquin to the Age of Bach, Rochester, Rochester University Press.
- Wiemer, Wolfgang (1977), Die wiederhergestellte Ordnung in Johann Sebastian Bachs Kunst der Fuge. Untersuchungen am Originaldruck, Wiesbaden, Breitkopf & Hartel.
- Wolff, Christoph (1975), “The Last Fugue. Unfinished?,” in Christoph Wolff (ed.), “Seminar Report. Bach’s Art of Fugue: An Examination of the Sources,” Current Musicology, no 19, pp. 71–77,https://currentmusicology.columbia.edu/wp-content/uploads/sites/13/2016/09/current.musicology.19.full_.pdf, accessed 12 August 2019.
- Wolff, Christoph (1991), Bach. Essays on his Life and Music, Cambridge, Harvard University Press.
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