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Bringing Light and Order to Chaos: Jean-Philippe Rameau's Traité de l'harmonie

The late eighteenth-century music theorist Jean-Benjamin de la Borde remarked that before the time of Jean-Philippe Rameau (c. 1683-1764), composers created according to their own caprices because no systematic rules of harmony existed. He further compared Rameau's accomplishments to those of Newton, for he was the first theorist to formulate principles of harmonic composition. These precepts changed the course of theory and composition, and its influence was felt through the early twentieth century. Thus for my project I desire to study Rameau's first treatise, Traité de l'harmonie Reduite à ses Principes naturels (1722). The foundations of most of his harmonic principles can be found in this important treatise. I will summarize the main precepts, examine their relationships to each other, and evaluate their implications for the art of composition. Since some detail or nuance is invariably lost in translation, I plan to study the original French version and the English translation concurrently. (I would be happy to discuss my experience with the French language with the committee at a later date, if they desire).

In order to understand this important treatise fully, I will first examine the culture in which Rameau lived to determine how it is reflected in his writing. The ideals of the Enlightenment, for example, are prevalent in his works. In the preface of Traité, he declares: ìMusic is a science which should have definite rules; these rules should be drawn from an evident principle; and this principle cannot be known to us without the aid of mathematics.î This statement shows his commitment to scientific approach, which was prized by the scientists, mathematicians, and philosophes of his day. Rameau also refers to empirical methods and natural law throughout the treatise; these concepts were products of the Enlightenment as well.

Within the context of the culture, I will examine the musical background. First, I will review the High Baroque style. Second, I will examine the principles of previous sixteenth and seventeenth century theorists to determine the nature and extent of their influence on Rameau's concepts. I will briefly investigate the three treatises quoted most often in Traité: Gioseffo Zarlino's Istitutione harmoniche (1558) and Demonstrationi harmoniche (1571), and René Descartes' Compendium Musicae (1618).

Once the cultural and musical background is defined, I will inspect the treatise itself. The first book, ìOn the Relationship Between Harmonic Ratios and Proportions,î is a demonstration of his mathematical formulas used to derive consonant intervals, chords, and their inversions from a fundamental note. The second volume, entitled ìOn the Nature and Properties of Chords; And on Everything Which May Be Used to Make Music Perfect,î contains the core of Rameau's principles. These principles include harmonic progressions, cadences, treatment of dissonances, modes, keys, meter, text setting, and the quality of intervals. The third book, entitled ìPrinciples of Compositionî, explains the art of composition employing these principles (i.e., how to modulate, prepare dissonances, etc.) Since the fourth book is a practical manual on the art of accompanying, I will not study it.

Finally, I will examine several of Rameau's compositions to elucidate my understanding of the principles contained in Traité. Specifically this will include examining harmonic progressions, dissonance treatment, and text setting.

As I have never attempted a research project of this scope, it is difficult to project an exact schedule for the ten-week summer and fall semester period. After discussing the matter thoroughly with my advisor, I have constructed a general timetable which we believe to be attainable. First, I plan to spend two weeks examining the cultural and musical background. This will include the study of all secondary literature found in my bibliography. (As I have already made a thorough survey of the available literature, I do not anticipate adding many new sources to this list). The three treatises quoted most often in Traité that I mentioned previously do not need to be studied directly, the secondary literature adequately summarizes their precepts, and some offer speculations on their impact on later generations of theorists. Also, my advisor is extremely familiar with the two treatises of Zarlino, which will greatly aid me in my study. After this two-week period, I plan to begin studying the treatise itself. I will spend six to seven weeks focusing on the treatise, and with the remaining one or two weeks I will study a small number of Rameau's compositions. If I feel that I need more time to examine either the cultural background or the treatise itself, I will postpone my analyzation of the compositions until the fall semester and continue studying the treatise until I am satisfied with the depth of my understanding. Conversely, if I find that I am well ahead of schedule in the summer, I will spend the fall semester examining the works of later theorists who built on Rameau's treatises to clarify the extent of his influence on later generations. (If my work progresses according to schedule, I will still have time to pursue this issue during the fall semester).

The role of my advisor, with whom I am well-acquainted, is significant and multifaceted. First, he will act as mentor, offering guidance for how to organize my research and final paper. Second, he will act as a colleague, challenging and encouraging my ideas. This atmosphere of friendly discussion will help me to clarify and rationally defend the opinions that I form. Third, he will act as a valuable source of information. His understanding of the process of researching theory and analysis within the cultural context will aid me, as will his specific knowledge of the sixteenth-century theorists that inspired Rameau. While my advisor is not currently researching Rameau, his major area of interest is examining theorists in the manner that I propose. These similar interests stem from our beliefs about the need to integrate the fields of music history, theory, and cultural studies into one discipline. Generally, scholars specialize in either theory or history, although the fields are quite interrelated.

My interest in integrating these two fields is the reasons that I became part of the Dean's Scholar program. My curriculum is a combination of core courses required of music theory majors, and music history and research course. I desire to obtain a Degree with Distinction so that I will have not only knowledge in these two fields, but practical experience in integrating them. Participation in the Arts and Humanities Scholars program will enable me to study this challenging subject in much greater depth than would be possible during the course of the busy academic year. I am highly interested in my topic, and eager to begin the research process.

Bibliography

Anderson, Gene. Musical Terminology in Jean-Philippe Rameau's Traité de l'harmonie: A Study and Glossary Based on an Index. Doctoral dissertation: University of Iowa, 1981.

Benn, Paul. Rameau's Musical Theories and the Age of Reason. Doctoral dissertation: University of California at Berkeley, 1966.

Bukhofzer, Manfred. Music in the Baroque Era. New York: Norton, 1947.

Christensen, Thomas. ìMusic Theory as Scientific Propaganda: The Case of d'Alambert's Elemens de Musique.î Journal of the History of Ideas, 50 (1989): 409-427.

Girdlestone, Cuthbert. Jean-Philippe Rameau. London: Cassel and Co., Ltd., 1957.

Green, Burdette. The Harmonic Series from Marsenne to Rameau: An Historical Study Of Circumstances Leading to Its Recognition and Application to Music. Doctoral dissertation: Ohio State, 1969.

Krehbiel, James. Harmonic Principles of Jean Philippe Rameau and His Contemporaries. Doctoral dissertation: Indiana University, 1964.

Parkinson, Claire. Breakthroughs: A Chronology of Great Achievements in Science and Mathematics, 1200-1930. Boston: G.K. Hall & Co., 1985.

Pedersen, Olaf, and Mogens Pihl. Early Physics and Astronomy: A Historical Introduction. London: Unwin Bros., Ltd., 1974.

Rameau, Jean-Philippe. ìTraité de l'harmonie Reduite à ses Principes naturels.î Vol. 1, Complete Theoretical Writings of Jean-Philippe Rameau. Edited By Erwin R. Jacobi. Rome: American Institute of Musicology, 1967.

_________. Treatise on Harmony. Trans., with introduction and notes, by Phillip Gossett. New York: Dover Publications, Inc., 1971.

Shirlaw, Matthew. The Theory of Harmony. New York: Da Capo Press, 1969.

Verba, E. Cynthia. ìRameau's Views on Modulation and Their Background in French Theory.î Journal of the American Musicological Society, 26 (1973): 69-91.

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