Music theory — LLMpedia

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Music theory. Music theory is the study of the practices and possibilities of Johann Sebastian Bach, Ludwig van Beethoven, Wolfgang Amadeus Mozart and many other composers through formal systems used in Vienna Conservatory, Conservatoire de Paris, Juilliard School and conservatories worldwide. It examines structures found in works by Igor Stravinsky, Claude Debussy, Arnold Schoenberg, Frédéric Chopin and Gustav Mahler and informs performance traditions in institutions such as Royal College of Music, Curtis Institute of Music, Eastman School of Music, and ensembles like the Berlin Philharmonic and New York Philharmonic.

Fundamentals

Fundamental concepts trace lineage from treatises by Guido of Arezzo, Guido's Guidonian hand, Gioseffo Zarlino, Jean-Philippe Rameau, and writings associated with Heinrich Schenker and Jean-Jacques Rousseau within academic settings like Sorbonne and University of Oxford. Scholars connected to Royal Academy of Music and University of Cambridge codified terminology that informs analysis applied to repertories in archives such as the Library of Congress and the British Library. Traditions from Ottoman Empire and Persian Empire musical systems intersect with Western practices preserved in collections at Topkapi Palace Museum and Seymour Library.

Pitch organization appears in systems from Pythagoras through medieval practices documented by Hildegard of Bingen and later tempered systems employed by Johann Sebastian Bach in works performed at venues like St. Thomas Church, Leipzig and Gewandhaus. Major and minor scales developed in contexts including Bach-Werke-Verzeichnis repertoires and influenced theorists at École Niedermeyer and Conservatorio di Milano. Non-Western modes such as raga traditions connected to Tansen and Carnatic music scholars coexist with Arabic maqam practice centered in institutions like Dar al-Makam and collections at Suleymaniye Library.

Chordal practice evolved through treatises by Rameau and analytical frameworks from Schenkerian analysis proponents affiliated with Vienna Conservatory and scholars writing for journals produced by Royal Musical Association. Functional harmony as applied to works by Wolfgang Amadeus Mozart and Franz Schubert interacts with post-tonal techniques found in pieces by Schoenberg, Anton Webern, and Alban Berg championed in seminars at Hochschule für Musik Hanns Eisler. Jazz harmony as developed by Duke Ellington, Charlie Parker, and educators at Berklee College of Music expands chordal vocabulary with extensions and substitutions taught in curricula at New England Conservatory.

Melodic construction reflects practices from polyphony in manuscripts associated with Notre-Dame School, repertory linked to Perotin, and later contrapuntal exercises by J.S. Bach preserved in collections at Staatsbibliothek zu Berlin and studied within courses at Royal Conservatory of The Hague. Species counterpoint traditions codified by Fux influenced composers at Vienna Court Opera and educators in the Conservatory of Saint Petersburg. Melodic characterization in art song repertoires by Franz Schubert and Hugo Wolf informs performance at venues such as Wiener Musikverein and festivals like Salzburg Festival.

Rhythmic organization is analyzed in works by Igor Stravinsky and Maurice Ravel performed at Paris Opera and Bolshoi Theatre, while formal schemes like sonata form are epitomized by Ludwig van Beethoven symphonies studied at institutions including Juilliard School and Royal College of Music. Metric modulation and polymeter practices appear in the output of Elliott Carter and contemporary composers associated with IRCAM and ensembles such as Ensemble InterContemporain. Forms from opera by Giuseppe Verdi and Richard Wagner shape large-scale planning taught in conservatory curricula worldwide.

Analytical methods range from tonal analysis used for Mozart and Haydn to serial techniques associated with Schoenberg and algorithmic approaches studied at Massachusetts Institute of Technology and Stanford University. Notation systems trace back to neumatic notation found in holdings at Vatican Library and evolved through mensural notation seen in manuscripts in the Bibliothèque nationale de France. Contemporary notation innovations used by composers working with IRCAM and ensembles like London Sinfonietta address extended techniques promoted by festivals such as Donaueschingen Festival.

Applications encompass composition taught at institutions like Yale School of Music, Curtis Institute of Music, and Berklee College of Music; analysis in academic departments at University of California, Berkeley and Columbia University; and practical training in conservatories such as Royal Academy of Music and Conservatorio di Milano. Pedagogical lineages include methods promulgated by Zoltán Kodály, Carl Orff, and Suzuki adopted in programs at schools like Kodály Institute and festivals such as Tanglewood Music Festival. Professional practice informs repertoire selection for orchestras like Chicago Symphony Orchestra and opera houses like Metropolitan Opera.