Skip to main content Accessibility help
×
Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-25T04:34:08.803Z Has data issue: false hasContentIssue false

18 - Steps to Parnassus: contrapuntal theory in 1725 precursors and successors

from B - Compositional Theory

Published online by Cambridge University Press:  28 March 2008

Thomas Christensen
Affiliation:
University of Chicago
Get access

Summary

For 250 years, the Gradus ad Parnassum of Johann Joseph Fox (1660–1741) has been a tabula by-no-means rasa on which theorists and pedagogues have written. The remarkable process of accretion and rewriting began within seventeen years of its initial publication, with its first translation – ironically into Fux’s own language, German – in 1742. There is no denying that Fux himself had drawn on theorists’ writings going back 200 years, indeed back to the Greeks; but the result was no derivative hodgepodge. For all its borrowing and recasting – mostly unacknowledged, in the twentieth-century, positivistic sense – it possesses a sharpness of focus and a singleness of purpose that remain perhaps unrivaled.

“Manuductio ad”…: Virgilian footsteps

The work’s title begins:

Steps to Parnassus; or, Guide to Musical Composition by the Rules, using a New and Sure Method, never before published in so Methodical an Arrangement

This title plays in complex ways with the reader’s expectations. According to the subtitle, it is a manuductio – a “leading by the hand.” Like many other treatises before it – for example, Samber’s Manuductio organica (Manuductio to the Organ; that is, Thorough and Sure Guide) (1704), and Niedt’s Musicalische Handleitung (1700–17) – it offers a certain reassurance that the reader will not be left unaided. As a -ductio, the Gradus distinguishes itself from theoretical works with such appellations as “Treatise,” “Method,” “System,” “Summa,” and “Compendium,” all of which offer a formalized statement of a theory or collection of theories. Moreover, it is not merely an intro-duction, but a manu-duction, recalling Virgil’s guidance of Dante through the Inferno and Purgatory (“He laid his hand on mine, and with a face / So joyous that it comforted my quailing, / Into the hidden things he led my ways”).

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2002

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Aaron, P.Compendiolo di molti dubbi, segreti et sentenze (c. 1545); facs. New York, Broude, 1974Google Scholar
Albrechtsberger, J. G.Anweisung zur Composition, Leipzig, J. Breitkopf, 1790; 2nd edn. c. 1818Google Scholar
Albrechtsberger, J. G.J. G. Albrechtsbergers sämmtliche Schriften über Generalbass, Harmonie-Lehre, und Tonsetzkunst, zum Selbstunterrichte, 3 vols., ed. Seyfried, I. Ritter, Vienna, T. Haslinger, c. 1825–26; trans. Choron, A.-E., Paris, Bachelier, 1830; trans. Merrick, A. (from Fr.), London, R. Cocks, c. 1834Google Scholar
Attwood, T.Thomas Attwoods Theorie- und Kompositionsstudien bei Mozart, ed. Heartz, D. and Mann, A., Kassel, Bärenreiter, 1969Google Scholar
Avianus, J.Isagoge in libros musicae poeticae, Erfurt, G. Baumannus, 1581; partial reprint and trans.Google Scholar
Rivera, B., “The Isagoge (1581) of Johannes Avianus: An Early Formulation of Triadic Theory,” Journal of Music Theory, New Haven, Yale University Press, 195722 (1978)
Beach, D. and Thym, J. as The Art of Strict Musical Composition, New Haven, Yale University Press, 1982Google Scholar
Bellermann, H.Der Contrapunkt, oder Anleitung zur Stimmführung in der musikalischen Composition, Berlin, J. Springer, 1862Google Scholar
Berardi, A.Documenti armonici, Bologna, G. Monti, 1687Google Scholar
Berardi, A.Il Perché musicale, Bologna, Pier Maria Mont, 1693Google Scholar
Berardi, A.Miscellanea musicale, Bologna, G. Monti, 1689Google Scholar
Bononcini, G. M.Musico prattico, Bologna, G. Monti 1673; facs. Hildesheim, G. Olms, 1969Google Scholar
Bradshaw, M. and Soehnlen, E. as The Transylvanian, Henryville, PA, Institute of Mediaeval Music, 1984Google Scholar
Burmeister, J.Musica autoschediastike, Rostock, C. Reusnerus, 1601Google Scholar
Bussler, L.Contrapunkt und Fuge im freien (modernen) Tonsatz, Berlin, Habel, 1878Google Scholar
Bussler, L.Der strenge Satz in der musikalischen Compositionslehre, Berlin, Habel, 1877, 2nd rev. edn. 1905Google Scholar
Cadet, F.Port-Royal Education: A Sketch of its History with Extracts from its Leading Authors, Syracuse, NY, C. W. Bardeen, 1899: Lancelot, “Of a New Method of Easily Learning to Read in any Language,”; Guyot, “On Teaching Reading and Writing,”Google Scholar
Cherubini, L.Cours de contrepoint et de fugue, Paris, M. Schlesinger, 1835Google Scholar
Cochlaeus, J.Tetrachordum musices (1511), Musicological Studies and Documents, ed. Carapetyan, A., American Institute of Musicology, Neuhausen-Stuttgart, Hänssler, 195723 (1970), trans. Miller, C. A.
Coclico, A.Compendium musices, Nuremberg, Montanus and Neuber, 1552; facs. Kassel, Bärenreiter, 1954Google Scholar
Dante, Alighieri, The Divine Comedy, Cantica I, Hell (L’Inferno), trans. Sayers, D. L., Harmondsworth, Penguin, 1949Google Scholar
Dehn, S. W.Lehre vom Contrapunkt, dem Canon und der Fuge, posthum, ed. Scholz, B., Berlin, F. Schneider, 1859Google Scholar
Dehn, S. W.Analysen dreier Fugen aus Joh. Seb. Bach’s “wohltemperirtem Clavier” und einer Vocal-Doppelfuge A. M. Bononcini’s, Leipzig, C. F. Peters, 1858Google Scholar
Diruta, G.Il Transilvano: Dialogo sopra il vero modo di sonar organi, et istromenti da penna, 2 vols., Venice, G. and A. Vincenti, 1593–1622; facs. Bologna, Forni, 1969 and 1997 and Buren, F. Knuf, 1983Google Scholar
Erickson, R., ed. Palisca, C. as “Musica enchiriadis” and “Scolica enchiriadis”: Translated, with Introduction and Notes, New Haven, Yale University Press, 1995Google Scholar
Federhofer, H.Fux’s Gradus ad Parnassum as Viewed by Heinrich Schenker,” Music Theory Spectrum (The Journal of the Society for Music Theory), University of California Press, 19794 (1982)Google Scholar
Federhofer, H.Johann Joseph Fux und Johann Mattheson im Urteil Lorenz Christoph Mizlers,” Speculum musicae artis: Festgabe für Heinrich Husmann zum 60. Geburtstag am 16. Dezember 1968, Munich, Fink, 1970Google Scholar
Fétis, F.-J.Traité du Contre-point et de la fugue, Paris, Janet et Cotelle, 1824; rev. edn. 1846Google Scholar
Flotzinger, R.Fux – ein komponierender Theoretiker?,” in J. J. Fux – Symposium Graz ’91. Bericht, ed. Flotzinger, R., Graz, Akademische Druck- und Verlagsanstalt, 1992Google Scholar
Gradus ad Parnassum, sive manuductio ad compositionem musicae regularem, Vienna, Van Ghelen, 1725; facs. New York, Broude, 1966; reprint ed. Mann, A., Kassel, and Basel, , Bärenreiter and Graz, Akademische Druck und Verlagsanstalt, 1967Google Scholar
Groth, R.Italienische Musiktheorie im 17. Jahrhundert,” Music Theory Spectrum (The Journal of the Society for Music Theory), University of California Press, 19797 (1989)Google Scholar
Haller, M.Kompositionslehre für polyphonen Kirchengesang mit besonderer Rücksicht auf die Meisterwerke des 16. Jahrhunderts, Regensburg, Coppenrath, 1891Google Scholar
Harnisch, O. S.Artis musicae delineatio, Frankfurt, Stein, 1608Google Scholar
Heartz, D.Thomas Attwood’s Lessons in Composition with Mozart,” Proceedings of the Royal Musical Association 100 (1973–74)CrossRefGoogle Scholar
Heinrich, Augsburg, De musica (11th c.), ed. Waesberghe, J. S., Buren, F. Knuf, 1977Google Scholar
Hindemith, P.Unterweisung im Tonsatz, 3 vols., Mainz, Schott, 1939–70; vol. II, Übungsbuch für den zweistimmigen Satz, trans.Google Scholar
Hohn, W.Der Kontrap unkt Palestrinas und seiner Zeitgenossen: eine Kontrapunktlehre, Regensburg, F. Pustet, 1918Google Scholar
Jadassohn, S.Die Lehre vom reinen Satz, 3 vols., Leipzig, Breitkopf und Härtel, 1883–84Google Scholar
Jadassohn, S.Erläuterungen zu ausgewählten Fugen aus Johann Sebastian Bach’s wohltemperirtem Clavier, Leipzig, F. Leuckart, c. 1887, and Breitkopf und Härtel, 1899Google Scholar
Jeppesen, K.Counterpoint: The Polyphonic Vocal Style of the Sixteenth Century (Danish orig. 1931), trans. Haydon, G., Englewood Cliffs, NJ, Prentice Hall, 1939Google Scholar
Jeppesen, K.The Style of Palestrina and the Dissonance (Danish orig. 1922), 2nd rev. edn. Copenhagen, Munksgaard; London, Oxford University Press, 1946Google Scholar
Judd, C.Reading Renaissance Music Theory: Hearing with the Eyes, Cambridge University Press, 2000; see Chapter 5, “Exempla, Commonplace Books, and Writing TheoryGoogle Scholar
Kirnberger, J. P.Die Kunst des reinen Satzes, 2 vols., Berlin, Decker und Hartung, 1771–79; facs. Hildesheim, G. Olms, 1968 and 1988Google Scholar
Kirnberger, J. P.Gedanken über die verschiedenen Lehrarten in der Komposition als Vorbereitung zur Fugenkenntnis, Berlin, G. J. Decker, 1782Google Scholar
Köchel, L., Ritter, von, Johann Josef Fux: Hofcompositor und Hofkapellmeister…, Vienna, Hölder, 1872; facs. Hildesheim, G. Olms, 1974Google Scholar
Kramer, R.Gradus ad Parnassum: Beethoven, Schubert, and the Romance of Counterpoint,” 19th-century Music 11 (1987)CrossRefGoogle Scholar
Kurth, E.Grundlagen des linearen Kontrapunkts: Bachs melodische Polyphonie, Bern, M. Drechsel, 1917; 5th edn. Bern, Krompholz, 1956Google Scholar
Lester, J.The Fux–Mattheson Correspondence: An Annotated Translation,” Current Musicology 24 (1977)Google Scholar
Lester, J.Between Modes and Keys: German Theory 1592–1802, Stuyvesant, NY, Pendragon Press, 1989Google Scholar
Lippius, J.Synopsis musicae novae, Strassburg, K. Kieffer, 1612Google Scholar
Lobe, J. C.Katechismus der Compositionslehre, Leipzig, J. J. Weber, c. 1862Google Scholar
Lobe, J. C.Lehrbuch der musikalischen Komposition, 4 vols., Leipzig, Breitkopf und Härtel, 1850–67Google Scholar
Maniates, M. R.Bottrigari versus Sigoni: On Vicentino and his Ancient Music Adapted to Modern Practice,” in Musical Humanism and Its Legacy: Essays in Honor of Claude V. Palisca, ed. Baker, N. and Hanning, B., Stuyvesant, NY, Pendragon, 1992Google Scholar
Maniates, M. R.The Cavalier Ercole Bottrigari and his Brickbats: Prolegomena to the Defense of Don Nicola Vicentino against Messer Gandolfo Sigonio,” in Music Theory and the Exploration of the Past, ed. Hatch, C. and Bernstein, D., University of Chicago Press, 1993Google Scholar
Book II, Exerc. I–III, trans. Mann, A. with St. Edmunds, J., in Steps to Parnassus: The Study of Counterpoint, New York, Norton, 1943; rev. edn., The Study of Counterpoint from Johann Joseph Fux’s “Gradus ad Parnassum”, New York, Norton, 1965 and 1971Google Scholar
Book II, Exerc. IV, V, Lect. 1–6, 7–1 to 7–2, trans. Mann, A. in The Study of Fugue, New Brunswick, Rutgers University Press, 1958; reprint Westport, Greenwood Press, 1981Google Scholar
Mann, A.Beethoven’s Contrapuntal Studies with Haydn,” Musical Quarterly 66 (1970)Google Scholar
Mann, A.Haydn and Mozart,” in Theory and Practice: The Great Composer as Student and Teacher, New York, Norton, 1987Google Scholar
Mann, A.Haydn as Student and Critic of Fux,” in Studies in Eighteenth-Century Music: A Tribute to Karl Geiringer, ed. Robbins, H. C.Landon, New York, Oxford University Press, 1970Google Scholar
Mann, A.Haydn’s Elementarbuch: A Document of Classic Counterpoint Instruction,” Music Forum 3 (1973)Google Scholar
Mann, A.Padre Martini and Fux,” in Festschrift für Ernst Hermann Meyer zum sechzigsten Geburtstag, ed. Knepler, G., Leipzig, VEB Deutscher Verlag für Musik, 1973Google Scholar
Mann, , cites Karl von Dittersdorfs Lebensbeschreibung: seinem Sohne in die Feder diktiert (1801), ed Istel, E. (Leipzig, 1908).Google Scholar
Marpurg, F. W.Abhandlung von der Fuge, Berlin, A. Haude and J. C. Spener, 1753–54; facs. Hildesheim, G. Olms, 1970Google Scholar
Martini, G. B.Esemplare o sia saggio fondamentale pratico di contrappunto, Bologna, L. dalla Volpe, 1774–75; facs. Ridgewood, NJ, Gregg, 1965Google Scholar
Marx, A. B.Die Lehre von der musikalischen Komposition, 4 vols., Leipzig, Breitkopf und Härtel, 1837–47Google Scholar
Marx, A. B.Musical Form in the Age of Beethoven: Selected Writings on Theory and Method, ed. and trans. Burnham, S., Cambridge University Press, 1997CrossRefGoogle Scholar
Momigny, J.-J., Cours complet d’harmonie et de composition, 3 vols., Paris, Momigny and Bailleul, 1803–06Google Scholar
Morgan, J. P. as Manual of Simple and Double Counterpoint, New York, G. Schirmer, 1884Google Scholar
Müller-Blattau, J.Die Grundlagen des Kontrapunkts, Potsdam, Athenaion, 1935Google Scholar
Musica, Scolica enchiriadis, ed. Schmid, H. as Musica et scolica enchiriadis una cum aliquibus tractatulis adiunctis, Munich, Bayerische Akademie der Wissenschaften, 1981Google Scholar
Nelson, R. B. and Boomgaarden, D. R. as “Kirnberger’s Thoughts on the Different Methods of Teaching Composition as Preparation for Understanding Fugue,” Journal of Music Theory, New Haven, Yale University Press, 195730 (1986)
Nottebohm, G.Generalbass und Compositionslehre betreffende Handschriften Beethoven’s und J. R. Seyfried’s Buch Ludwig van Beethoven’s Studien im Generalbasse, Contrapuncte u.s.w.,” in Zweite Beethoveniana, Leipzig and Winterthur, J. Rieter-Biedermann, 1887Google Scholar
Nottebohm, G.Beethoven’s Studien, vol. 1: Beethoven’s Unterricht bei J. Haydn, Albrechtsberger und Salieri, nach den Original-Manuscripten dargestellt, Leipzig, J. Rieter-Biedermann, 1873; reprint Niederwalluf, M. Sändig, 1971Google Scholar
Ortman, O. as The Craft of Musical Composition 2: Exercises in Two-Part Writing, New York, Associated Music, 1941Google Scholar
Prout, E.Counterpoint: Strict and Free, London, Augener, 1890Google Scholar
Prout, E.Double Counterpoint and Canon, London, Augener, 1891Google Scholar
Prout, E.Fugal Analysis: A Companion to “Fugue”, London, Augener, 1892Google Scholar
Prout, E.Fugue, London, Augener, 1891Google Scholar
Reicha, A.Cours de composition musicale, ou Traité complet et raisonné d’harmonie pratique, Paris, Gambaro, c. 1816–18Google Scholar
Reicha, A.Traité de haute composition musicale, Paris, Zetter, 1824–26Google Scholar
Richter, E. F.Lehrbuch der Fuge: Anleitung zur Composition derselben, Leipzig, Breitkopf und Härtel, 1859Google Scholar
Richter, E. F.Lehrbuch der Harmonie: Praktische Anleitung, Leipzig, Breitkopf und Härtel, 1853Google Scholar
Richter, E. F.Lehrbuch des einfachen und doppelten Kontrapunkts: Praktische Anleitung, Leipzig, Breitkopf und Härtel, 1872Google Scholar
Riemann, H.Lehrbuch des einfachen, doppelten und imitierenden Kontrapunkts, Leipzig, Breitkopf und Härtel, 1888Google Scholar
Riemann, H.Neue Schule der Melodik: Entwurf einer Lehre des Contrapunkts nach einer gänzlich neuen Methode, Hamburg, K. Grädener and J. F. Richter, 1883Google Scholar
Rivera, B. as Synopsis of New Music, Colorado Springs, Colorado College Music Press, 1977Google Scholar
Rivera, B. V.German Music Theory in the Early 17th Century: The Treatises of Johannes Lippius, Ann Arbor, UMI Research Press, 1974Google Scholar
Roth, H.Elemente der Stimmführung (Der strenge Satz), vol. I: Ein- und Zweistimmigkeit, Stuttgart, Klett, 1926Google Scholar
Rothgeb, J. and Thym, J. as Counterpoint, New York, Schirmer Books, 1987Google Scholar
Salzer, F. and Schachter, C., Counterpoint in Composition: The Study of Voice Leading, New York, McGraw-Hill, 1969Google Scholar
Saroni, H. as The Theory and Practice of Musical Composition, New York, Huntington, Mason and Law, 1852Google Scholar
Schenker, H.Kontrapunkt, 2 vols., Stuttgart, J. G. Cotta, Vienna, Universal Edition, 1910–22Google Scholar
Schoenberg, A.Preliminary Exercises in Counterpoint (1936–50), ed. Stein, L., London, Faber and Faber, 1963Google Scholar
Seay, A. as Musical Compendium, Colorado Springs, Colorado College Music Press, 1973Google Scholar
Seyfried, I., Ritter, von, Ludwig van Beethoven’s Studien im Generalbasse, Contrapuncte und in der Compositions-Lehre, Vienna, T. Haslinger, 1832; facs. Hildesheim, G. Olms, 1967Google Scholar
Stöhr, R.Praktischer Leitfaden des Kontrapunkts, Hamburg, Benjamin, 1911Google Scholar
Tittel, E.Der neue Gradus: Lehrbuch des strengen Satzes nach Johann Joseph Fux, Vienna and Munich, Doblinger, 1959Google Scholar
Wagner, M.Johann Joseph Fux als Lehrer kommender Generationen,” J. J. Fux – Symposium Graz ’91: Bericht, ed. Flotzinger, R., Graz, Akademische Druck- und Verlagsanstalt, 1992Google Scholar
Wellesz, E.Fux, London, Oxford University Press, 1965Google Scholar
Werckmeister, A.Harmonologia musica oder kurtze Anleitung zur musikalischen Composition, Frankfurt, T. P. Calvisius, 1702; facs. Hildesheim, G. Olms, 1970Google Scholar
Wollenberg, S.The Unknown ‘Gradus,’Music & Letters 51 (1970)Google Scholar
Book II, Exerc. V, Lect. 7–6 to 7–10, trans. Wollenberg, S. as “Gradus ad Parnassum (1725): Concluding Chapters,” Music Analysis 11 (1992) (“On Taste,” “On the Ecclesiastical Style,” “On the ‘Stylus a capella,’” “The Stylus mixtus,” “The Stylus recitativus”)Google Scholar
Zacconi, L.Prattica di musica, Venice, Part 1, G. Polo, 1592; Part II, A. Vincenti, 1622; facs. Hildesheim, G. Olms, 1982Google Scholar
Zarlino, G.Le istitutioni harmoniche, Venice, Franceschi, 1558; facs. New York, Broude, 1965; Part III trans. Marco, G., ed. Palisca, C. V. as The Art of Counterpoint, New Haven, Yale University Press, 1968; reprint New York, Da Capo, 1983Google Scholar
Zarlino, G.Dimostrationi harmoniche, Venice, Franceschi, 1571; facs. New York, Broude, 1965Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×