Atonality
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\new Staff \fixed c' { r2 <a e' g' b'>2~Atonality in its broadest sense is music that lacks a tonal center, or key.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. Atonality, in this sense, usually describes compositions written from about the early 20th century to the present day, where a hierarchy of harmonies focusing on a single, central triad is not used, and the notes of the chromatic scale function independently of one another.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. More narrowly, the term atonality describes music that does not conform to the system of tonal hierarchies that characterized European classical music between the seventeenth and nineteenth centuries.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. "The repertory of atonal music is characterized by the occurrence of pitches in novel combinations, as well as by the occurrence of familiar pitch combinations in unfamiliar environments".Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.
The term is also occasionally used to describe music that is neither tonal nor serial, especially the pre-twelve-tone music of the Second Viennese School, principally Alban Berg, Arnold Schoenberg, and Anton Webern.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. However, "as a categorical label, 'atonal' generally means only that the piece is in the Western tradition and is not 'tonal'",Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. although there are longer periods, e.g., medieval, renaissance, and modern modal music to which this definition does not apply. "Serialism arose partly as a means of organizing more coherently the relations used in the pre-serial 'free atonal' music. ... Thus, many useful and crucial insights about even strictly serial music depend only on such basic atonal theory".Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.
Late 19th- and early 20th-century composers such as Alexander Scriabin,Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. Claude Debussy,Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. Paul Hindemith,Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. Béla Bartók,Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. Sergei Prokofiev,Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. Igor Stravinsky,Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. and Edgard Varèse,Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. have written music that has been described, in full or in part, as atonal.[excessive citations]
History
While music without a tonal center had been previously written, for example Franz Liszt's Bagatelle sans tonalité of 1885, it is with the coming of the twentieth century that the term atonality began to be applied to pieces, particularly those written by Arnold Schoenberg and The Second Viennese School. The term "atonality" was coined in 1907 by Joseph Marx in a scholarly study of tonality, which was later expanded into his doctoral thesis.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.
Their music arose from what was described as the "crisis of tonality" between the late nineteenth century and early twentieth century in classical music. This situation had arisen over the course of the nineteenth century due to the increasing use of
ambiguous chords, improbable harmonic inflections, and more unusual melodic and rhythmic inflections than what was possible within the styles of tonal music. The distinction between the exceptional and the normal became more and more blurred. As a result, there was a "concomitant loosening" of the synthetic bonds through which tones and harmonies had been related to one another. The connections between harmonies were uncertain even on the lowest chord-to-chord level. On higher levels, long-range harmonic relationships and implications became so tenuous, that they hardly functioned at all. At best, the felt probabilities of the style system had become obscure. At worst, they were approaching a uniformity, which provided few guides for either composition or listening.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.
The first phase, known as "free atonality" or "free chromaticism", involved a conscious attempt to avoid traditional diatonic harmony. Works of this period include the opera Wozzeck (1917–1922) by Alban Berg and Pierrot lunaire (1912) by Schoenberg.
The second phase, begun after World War I, was exemplified by attempts to create a systematic means of composing without tonality, most famously the method of composing with 12 tones or the twelve-tone technique. This period included Berg's Lulu and Lyric Suite, Schoenberg's Piano Concerto, his oratorio Die Jakobsleiter and numerous smaller pieces, as well as his last two string quartets. Schoenberg was the major innovator of the system. His student, Anton Webern, however, is anecdotally claimed to have begun linking dynamics and tone color to the primary row, making rows not only of pitches but of other aspects of music as well.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. However, actual analysis of Webern's twelve-tone works has so far failed to demonstrate the truth of this assertion. One analyst concluded, following a minute examination of the Piano Variations, op. 27, that
while the texture of this music may superficially resemble that of some serial music ... its structure does not. None of the patterns within separate nonpitch characteristics makes audible (or even numerical) sense in itself. The point is that these characteristics are still playing their traditional role of differentiation.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.
Twelve-tone technique, combined with the parametrization (separate organization of four aspects of music: pitch, attack character, intensity, and duration) of Olivier Messiaen, would be taken as the inspiration for serialism.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.
Atonality emerged as a pejorative term to condemn music in which chords were organized seemingly with no apparent coherence. In Nazi Germany, atonal music was attacked as "Bolshevik" and labeled as degenerate (Entartete Musik) along with other music produced by enemies of the Nazi regime. Many composers had their works banned by the regime, not to be played until after its collapse at the end of World War II.
After Schoenberg's death, Igor Stravinsky used the twelve-tone technique.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. Iannis Xenakis generated pitch sets from mathematical formulae, and also saw the expansion of tonal possibilities as part of a synthesis between the hierarchical principle and the theory of numbers, principles which have dominated music since at least the time of Parmenides.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.
Free atonality
The twelve-tone technique was preceded by Schoenberg's freely atonal pieces of 1908 to 1923, which, though free, often have as an "integrative element...a minute intervallic cell" that in addition to expansion may be transformed as with a tone row, and in which individual notes may "function as pivotal elements, to permit overlapping statements of a basic cell or the linking of two or more basic cells".Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. The decay of the sense of tonality and the subsequent distribution into individual elements brought three concepts into play: 1. Musical elements that had since been secondary to tonal form groups now became autonomous. 2. The absence of tonal coherence prompted the search for a unity that could connect the disjointed musical language in an alternative way. 3. Due to the replacement of diatonic principles, new concepts of form arose.[1]
The twelve-tone technique was also preceded by nondodecaphonic serial composition used independently in the works of Alexander Scriabin, Igor Stravinsky, Béla Bartók, Carl Ruggles, Elisabeth Lutyens and others.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. "Essentially, Schoenberg and Hauer systematized and defined for their own dodecaphonic purposes a pervasive technical feature of 'modern' musical practice, the ostinato."Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.
Characteristics
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r4 b( gis Kostka and Payne list four procedures as operational in the atonal music of Schoenberg, all of which may be taken as negative rules. Avoidance of melodic or harmonic octaves, avoidance of traditional pitch collections such as major or minor triads, avoidance of more than three successive pitches from the same diatonic scale, and use of disjunct melodies (avoidance of conjunct melodies).Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.
Further, Perle agrees with OsterLua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. and KatzLua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. that, "the abandonment of the concept of a root-generator of the individual chord is a radical development that renders futile any attempt at a systematic formulation of chord structure and progression in atonal music along the lines of traditional harmonic theory".Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. Atonal compositional techniques and results "are not reducible to a set of foundational assumptions in terms of which the compositions that are collectively designated by the expression 'atonal music' can be said to represent 'a system' of composition".Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. Equal-interval chords are often of indeterminate root, mixed-interval chords are often best characterized by their interval content, while both lend themselves to atonal contexts.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.
Perle also points out that structural coherence is most often achieved through operations on intervallic cells. A cell "may operate as a kind of microcosmic set of fixed intervallic content, statable either as a chord or as a melodic figure or as a combination of both. Its components may be fixed with regard to order, in which event it may be employed, like the twelve-tone set, in its literal transformations. … Individual tones may function as pivotal elements, to permit overlapping statements of a basic cell or the linking of two or more basic cells".Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.
Regarding the post-tonal music of Perle, one theorist wrote: "While ... montages of discrete-seeming elements tend to accumulate global rhythms other than those of tonal progressions and their rhythms, there is a similarity between the two sorts of accumulates spatial and temporal relationships: a similarity consisting of generalized arching tone-centers linked together by shared background referential materials".Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.
Reception and legacy
Controversy over the term itself
The term "atonality" itself has been controversial. Arnold Schoenberg, whose music is generally used to define the term, was vehemently opposed to it, arguing that "The word 'atonal' could only signify something entirely inconsistent with the nature of tone... to call any relation of tones atonal is just as farfetched as it would be to designate a relation of colors aspectral or acomplementary. There is no such antithesis".Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.
Composer and theorist Milton Babbitt also disparaged the term, saying "The works that followed, many of them now familiar, include the Five Pieces for Orchestra, Erwartung, Pierrot Lunaire, and they and a few yet to follow soon were termed 'atonal,' by I know not whom, and I prefer not to know, for in no sense does the term make sense. Not only does the music employ 'tones,' but it employs precisely the same 'tones,' the same physical materials, that music had employed for some two centuries. In all generosity, 'atonal' may have been intended as a mildly analytically derived term to suggest 'atonic' or to signify 'a-triadic tonality', but, even so there were infinitely many things the music was not".Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.
"Atonal" developed a certain vagueness in meaning as a result of its use to describe a wide variety of compositional approaches that deviated from traditional chords and chord progressions. Attempts to solve these problems by using terms such as "pan-tonal", "non-tonal", "multi-tonal", "free-tonal" and "without tonal center" instead of "atonal" have not gained broad acceptance.[citation needed]
Criticism of the concept of atonality
Composer Anton Webern held that "new laws asserted themselves that made it impossible to designate a piece as being in one key or another".Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. Composer Walter Piston, on the other hand, said that, out of long habit, whenever performers "play any little phrase they will hear it in some key—it may not be the right one, but the point is they will play it with a tonal sense. ... [T]he more I feel I know Schoenberg's music the more I believe he thought that way himself. ... And it isn't only the players; it's also the listeners. They will hear tonality in everything".Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.
Donald Jay Grout similarly doubted whether atonality is really possible, because "any combination of sounds can be referred to as a fundamental root". He defined it as a fundamentally subjective category: "atonal music is music in which the person who is using the word cannot hear tonal centers".Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.
One difficulty is that even an otherwise "atonal" work, tonality "by assertion" is normally heard on the thematic or linear level. That is, centricity may be established through the repetition of a central pitch or from emphasis by means of instrumentation, register, rhythmic elongation, or metric accent.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.
Criticism of atonal music
Swiss conductor, composer, and musical philosopher Ernest Ansermet, a critic of atonal music, wrote extensively on this in the book Les fondements de la musique dans la conscience humaine (The Foundations of Music in Human Consciousness),Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found. where he argued that the classical musical language was a precondition for musical expression with its clear, harmonious structures. Ansermet argued that a tone system can only lead to a uniform perception of music if it is deduced from just a single interval. For Ansermet this interval is the fifth.Lua error in package.lua at line 80: module 'Module:Footnotes/anchor_id_list' not found.
In France, on December 20, 2012, French pianist Jérôme Ducros gave a lecture at the Collège de France entitled Atonalism. And after?[2] as part of Karol Beffa's chair of artistic creation. He compares the discursive properties of tonal language and non-tonal languages, largely giving the advantage to the former, and considers the return of tonality as inevitable. This lecture sparked a heated controversy in the French musical world.
See also
- Emancipation of the dissonance
- Jazz improvisation
- Klangfarbenmelodie
- Neue Musik
- Noise music
- List of atonal compositions
References
Page Template:Reflist/styles.css has no content.
- ^ Page Module:Citation/CS1/styles.css has no content.De Leeuw, Ton (2005). Music of the Twentieth Century: A Study of Its Elements and Structure. Amsterdam University Press. ISBN 978-90-5356-765-4. JSTOR j.ctt46n27q.
- ^ Page Module:Citation/CS1/styles.css has no content."L'atonalisme. Et après ? | Collège de France". www.college-de-france.fr (in français). 2012-09-12. Retrieved 2024-08-17.
Cited sources
Page Template:Div col/styles.css has no content.
- Page Template:Citation/styles.css has no content.Ansermet, Ernest. 1961. Les fondements de la musique dans la conscience humaine. 2 vols. Neuchâtel: La Baconnière.
- Page Template:Citation/styles.css has no content.Babbitt, Milton. 1991. "A Life of Learning: Charles Homer Haskins Lecture for 1991". ACLS Occasional Paper 17. New York: American Council of Learned Societies.
- Page Template:Citation/styles.css has no content.Baker, James M. 1980. "Scriabin's Implicit Tonality". "Music Theory Spectrum" 2:1–18.
- Page Template:Citation/styles.css has no content.Baker, James M. 1986. The Music of Alexander Scriabin. New Haven: Yale University Press.
- Page Template:Citation/styles.css has no content.Bertram, Daniel Cole. 2000. "Prokofiev as a Modernist, 1907–1915". PhD diss. New Haven: Yale University.
- Page Template:Citation/styles.css has no content.DeLone, Peter, and Gary Wittlich (eds.). 1975. Aspects of Twentieth-Century Music. Englewood Cliffs, New Jersey: Prentice-Hall. Template:ISBN.
- Page Template:Citation/styles.css has no content.Du Noyer, Paul (ed.). 2003. "Contemporary", in The Illustrated Encyclopedia of Music: From Rock, Jazz, Blues and Hip Hop to Classical, Folk, World and More, pp. 271–272. London: Flame Tree Publishing. Template:ISBN.
- Page Template:Citation/styles.css has no content.Forte, Allen. 1977. The Structure of Atonal Music. New Haven and London: Yale University Press. Template:ISBN.
- Page Template:Citation/styles.css has no content.Griffiths, Paul. 2001. "Varèse, Edgard [Edgar] (Victor Achille Charles)". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan.
- Page Template:Citation/styles.css has no content.Grout, Donald Jay. 1960. A History of Western Music. New York: W. W. Norton.
- Page Template:Citation/styles.css has no content.Haydin, Berkat, and Stefan Esser. 2009 (Joseph Marx Society). Chandos, liner notes to Joseph Marx: Orchestral Songs and Choral Works (accessed 23 October 2014.
- Page Template:Citation/styles.css has no content.Katz, Adele T. 1945. Challenge to Musical Traditions: A New Concept of Tonality. New York: Alfred A. Knopf, reprint edition, New York: Da Capo, 1972.
- Page Template:Citation/styles.css has no content.Kennedy, Michael. 1994. "Atonal". The Oxford Dictionary of Music. Oxford & New York: Oxford University Press. Template:ISBN.
- Page Template:Citation/styles.css has no content.Kohlhase, Hans. 1983. "Außermusikalische Tendenzen im Frühschaffen Paul Hindemiths. Versuch über die Kammermusik Nr. 1 mit Finale 1921". Hamburger Jahrbuch für Musikwissenschaft 6:183–223.
- Page Template:Citation/styles.css has no content.Kostka, Stefan and Payne, Dorothy (1995). Tonal Harmony. Third Edition. Template:ISBN.
- Page Template:Citation/styles.css has no content.Lansky, Paul, and George Perle. 2001. "Atonality §2: Differences between Tonality and Atonality". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan.
- Page Template:Citation/styles.css has no content.Lansky, Paul, George Perle, and Dave Headlam. 2001. "Atonality". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan.
- Page Template:Citation/styles.css has no content.Meyer, Leonard B. 1967. Music, the Arts, and Ideas: Patterns and Predictions in Twentieth-Century Culture. Chicago and London: University of Chicago Press. (Second edition 1994.)
- Page Template:Citation/styles.css has no content.Mosch, Ulrich. 2004. Musikalisches Hören serieller Musik: Untersuchungen am Beispiel von Pierre Boulez' «Le Marteau sans maître». Saarbrücken: Pfau-Verag.
- Page Template:Citation/styles.css has no content.Obert, Simon. 2004. "Zum Begriff Atonalität: Ein Vergleich von Anton Weberns 'Sechs Bagatellen für Streichquartett' op. 9 und Igor Stravinskijs 'Trois pièces pour quatuor à cordes'". In Das Streichquartett in der ersten Hälfte des 20. Jahrhunderts: Bericht über das Dritte Internationale Symposium Othmar Schoeck in Zürich, 19. und 20. Oktober 2001. Schriftenreihe der Othmar Schoeck-Gesellschaft 4, edited by Beat A. Föllmi and Michael Baumgartner. Tutzing: Schneider.
- Page Template:Citation/styles.css has no content.Orvis, Joan. 1974. "Technical and stylistic features of the piano etudes of Stravinsky, Bartók, and Prokofiev". DMus Piano pedagogy: Indiana University.
- Page Template:Citation/styles.css has no content.Oster, Ernst. 1960. "Re: A New Concept of Tonality (?)", Journal of Music Theory 4:96.
- Page Template:Citation/styles.css has no content.Parks, Richard S. 1985. "Tonal Analogues as Atonal Resources and Their Relation to form in Debussy's Chromatic Etude". Journal of Music Theory 29, no. 1 (Spring): 33–60.
- Page Template:Citation/styles.css has no content.Perle, George. 1962. Serial Composition and Atonality: An Introduction to the Music of Schoenberg, Berg, and Webern. University of California Press. Template:ISBN.
- Page Template:Citation/styles.css has no content.Perle, George. 1977. Serial Composition and Atonality: An Introduction to the Music of Schoenberg, Berg, and Webern. Fourth Edition. Berkeley, Los Angeles, and London: University of California Press. Template:ISBN.
- Page Template:Citation/styles.css has no content.Rahn, John. 1980. Basic Atonal Theory. New York: Longman. Template:ISBN.
- Page Template:Citation/styles.css has no content.Rülke, Volker. 2000. "Bartóks Wende zur Atonalität: Die "Études" op. 18". Archiv für Musikwissenschaft 57, no. 3:240–263.
- Page Template:Citation/styles.css has no content.Schoenberg, Arnold. 1978. Theory of Harmony, translated by Roy Carter. Berkeley & Los Angeles: University of California Press.
- Page Template:Citation/styles.css has no content.Seeger, Charles. 1930. "On Dissonant Counterpoint." Modern Music 7, no. 4:25–31.
- Page Template:Citation/styles.css has no content.Simms, Bryan R. 1986. Music of the Twentieth Century: Style and Structure. New York: Schirmer. Template:ISBN.
- Page Template:Citation/styles.css has no content.Swift, Richard. 1982–83. "A Tonal Analog: The Tone-Centered Music of George Perle". Perspectives of New Music 21, nos. 1/2 (Fall–Winter/Spring–Summer): 257–284. (Subscription access.)
- Page Template:Citation/styles.css has no content.Teboul, Jean-Claude. 1995–96. "Comment analyser le neuvième interlude en si♭ du "Ludus tonalis" de Paul Hindemith? (Hindemith ou Schenker?) ". Ostinato Rigore: Revue Internationale d'Études Musicales, nos. 6–7:215–232.
- Page Template:Citation/styles.css has no content.Webern, Anton. 1963. The Path to the New Music, translated by Leo Black. Bryn Mawr. Pennsylvania: Theodore Presser; London: Universal Edition.
- Page Template:Citation/styles.css has no content.Westergaard, Peter. 1963. "Webern and 'Total Organization': An Analysis of the Second Movement of Piano Variations, Op. 27." Perspectives of New Music 1, no. 2 (Spring): 107–20.
- Page Template:Citation/styles.css has no content.Westergaard, Peter. 1968. "Conversation with Walter Piston". Perspectives of New Music 7, no. 1 (Fall–Winter) 3–17.
- Page Template:Citation/styles.css has no content.Xenakis, Iannis. 1971. Formalized Music: Thought and Mathematics in Composition. Bloomington and London: Indiana University Press. Revised edition, 1992. Harmonologia Series No. 6. Stuyvesant, New York: Pendragon Press. Template:ISBN.
- Page Template:Citation/styles.css has no content.Zimmerman, Daniel J. 2002. "Families without Clusters in the Early Works of Sergei Prokofiev". PhD diss. Chicago: University of Chicago.
Further reading
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- Beach, David (ed.). 1983. "Schenkerian Analysis and Post-Tonal Music", Aspects of Schenkerian Theory. New Haven: Yale University Press.
- Dahlhaus, Carl. 1966. "Ansermets Polemik gegen Schönberg." Neue Zeitschrift für Musik 127, no. 5:179–183.
- Forte, Allen. 1963. "Context and Continuity in an Atonal Work: A Set-Theoretic Approach". Perspectives of New Music 1, no. 2 (Spring): 72–82.
- Forte, Allen. 1964. "A Theory of Set-Complexes for Music". Journal of Music Theory 8, no. 2 (Winter): 136–183.
- Forte, Allen. 1965. "The Domain and Relations of Set-Complex Theory". Journal of Music Theory 9, no. 1 (Spring): 173–180.
- Forte, Allen. 1972. Sets and Nonsets in Schoenberg's Atonal Music. Perspectives of New Music 11, no. 1 (Fall–Winter): 43–64.
- Forte, Allen. 1978a. The Harmonic Organization of The Rite of Spring. New Haven : Yale University Press. Template:ISBN.
- Forte, Allen. 1978b. "Schoenberg's Creative Evolution: The Path to Atonality". The Musical Quarterly 64, no. 2 (April): 133–176.
- Forte, Allen. 1980. "Aspects of Rhythm in Webern's Atonal Music". Music Theory Spectrum 2:90–109.
- Forte, Allen. 1998. The Atonal Music of Anton Webern. New Haven and London: Yale University Press. Template:ISBN.
- Forte, Allen, and Roy Travis. 1974. "Analysis Symposium: Webern, Orchestral Pieces (1913): Movement I ('Bewegt')". Journal of Music Theory 18, no. 1 (Spring, pp. 2–43.
- Krausz, Michael. 1984. "The Tonal and the Foundational: Ansermet on Stravinsky". The Journal of Aesthetics and Art Criticism 42:383–386.
- Krenek, Ernst. 1953. "Is the Twelve-Tone Technique on the Decline?" The Musical Quarterly 39, no. 4 (October): 513–527.
- Philippot, Michel. 1964. "Ansermet's Phenomenological Metamorphoses." Translated by Edward Messinger. Perspectives of New Music 2, no. 2 (Spring–Summer): 129–140. Originally published as "Métamorphoses Phénoménologiques." Critique. Revue Générale des Publications Françaises et Etrangères, no. 186 (November 1962).
- Radano, Ronald M. 1993. New Musical Figurations: Anthony Braxton's Cultural Critique Chicago: University of Chicago Press.
- Stegemann, Benedikt. 2013. Theory of Tonality. Theoretical Studies. Wilhelmshaven: Noetzel. Template:ISBN.
External links
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- An Introduction to Atonal Music Analysis Script error: No such module "webarchive". by Robert T. Kelly.
- Atonality, Information, and the Politics of Perception by Lee Humphries
- Atonal, Music Dictionary
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