Serialism

In music, serialism is a method of composition using series of pitches, rhythms, dynamics, timbres or other musical elements. Serialism began primarily with Arnold Schoenberg's twelve-tone technique, though some of his contemporaries were also working to establish serialism as a form of post-tonal thinking. Twelve-tone technique orders the twelve notes of the chromatic scale, forming a row or series and providing a unifying basis for a composition's melody, harmony, structural progressions, and variations. Other types of serialism also work with sets, collections of objects, but not necessarily with fixed-order series, and extend the technique to other musical dimensions, such as duration, dynamics, and timbre.
The idea of serialism is also applied in various ways in the visual arts, design, and architecture, and the musical concept has also been adapted in literature.
Integral serialism or total serialism is the use of series for aspects such as duration, dynamics, and register as well as pitch. Other terms, used especially in Europe to distinguish post-World War II serial music from twelve-tone music and its American extensions, are general serialism and multiple serialism.
Composers such as Arnold Schoenberg, Anton Webern, Alban Berg, Karlheinz Stockhausen, Pierre Boulez, Luigi Nono, Milton Babbitt, Elisabeth Lutyens, Henri Pousseur, Charles Wuorinen and Jean Barraqué used serial techniques of one sort or another in most of their music. Other composers such as Tadeusz Baird, Béla Bartók, Luciano Berio, Bruno Maderna, Franco Donatoni, Benjamin Britten, John Cage, Aaron Copland, Ernst Krenek, György Ligeti, Olivier Messiaen, Arvo Pärt, Walter Piston, Ned Rorem, Alfred Schnittke, Ruth Crawford Seeger, Dmitri Shostakovich, and Igor Stravinsky used serialism only in some of their compositions or only in some sections of pieces, as did some jazz composers, such as Bill Evans, Yusef Lateef, Bill Smith, and even rock musicians like Frank Zappa.

Basic definitions

Serialism is a method, "highly specialized technique", or "way" of composition. It may also be considered "a philosophy of life, a way of relating the human mind to the world and creating a completeness when dealing with a subject".
Serialism is not by itself a system of composition or a style. Neither is pitch serialism necessarily incompatible with tonality, though it is most often used as a means of composing atonal music.
"Serial music" is a problematic term because it is used differently in different languages and especially because, shortly after its coinage in French, it underwent essential alterations during its transmission to German. The term's use in connection with music was first introduced in French by René Leibowitz in 1947, and immediately afterward by Humphrey Searle in English, as an alternative translation of the German Zwölftontechnik or Reihenmusik ; it was independently introduced by Stockhausen and Herbert Eimert into German in 1955 as serielle Musik, with a different meaning, but also translated as "serial music".

Twelve-tone serialism

Serialism of the first type is most specifically defined as a structural principle according to which a recurring series of ordered elements is used in order or manipulated in particular ways to give a piece unity. "Serial" is often broadly used to describe all music written in what Schoenberg called "The Method of Composing with Twelve Notes related only to one another", or dodecaphony, and methods that evolved from his methods. It is sometimes used more specifically to apply only to music in which at least one element other than pitch is treated as a row or series. Such methods are often called post-Webernian serialism. Other terms used to make the distinction are twelve-note serialism for the former and integral serialism for the latter.
A row may be assembled pre-compositionally, or derived from a spontaneously invented thematic or motivic idea. The row's structure does not in itself define the structure of a composition, which requires development of a comprehensive strategy. The choice of strategy often depends on the relationships contained in a row class, and rows may be constructed with an eye to producing the relationships needed to form desired strategies.
The basic set may have additional restrictions, such as the requirement that it use each interval only once.

Non-twelve-tone serialism

"The series is not an order of succession, but indeed a hierarchy—which may be independent of this order of succession".
Rules of analysis derived from twelve-tone theory do not apply to serialism of the second type: "in particular the ideas, one, that the series is an intervallic sequence, and two, that the rules are consistent". For example, Stockhausen's early serial works, such as Kreuzspiel and Formel, "advance in unit sections within which a preordained set of pitches is repeatedly reconfigured ... The composer's model for the distributive serial process corresponds to a development of the Zwölftonspiel of Josef Matthias Hauer". Goeyvaerts's Nummer 4

provides a classic illustration of the distributive function of seriality: 4 times an equal number of elements of equal duration within an equal global time is distributed in the most equable way, unequally with regard to one another, over the temporal space: from the greatest possible coïncidence to the greatest possible dispersion. This provides an exemplary demonstration of that logical principle of seriality: every situation must occur once and only once.

Henri Pousseur, after initially working with twelve-tone technique in works like Sept Versets and Trois Chants sacrés,

evolved away from this bond in Symphonies pour quinze Solistes and in the Quintette , and from around the time of Impromptu encounters whole new dimensions of application and new functions.

The twelve-tone series loses its imperative function as a prohibiting, regulating, and patterning authority; its working-out is abandoned through its own constant-frequent presence: all 66 intervallic relations among the 12 pitches being virtually present. Prohibited intervals, like the octave, and prohibited successional relations, such as premature note repetitions, frequently occur, although obscured in the dense contexture. The number twelve no longer plays any governing, defining rôle; the pitch constellations no longer hold to the limitation determined by their formation. The dodecaphonic series loses its significance as a concrete model of shape is played out. And the chromatic total remains active only, and provisionally, as a general reference.

In the 1960s Pousseur took this a step further, applying a consistent set of predefined transformations to preexisting music. One example is the large orchestral work Couleurs croisées, which performs these transformations on the protest song "We Shall Overcome", creating a succession of different situations that are sometimes chromatic and dissonant and sometimes diatonic and consonant. In his opera Votre Faust Pousseur used many quotations, themselves arranged into a "scale" for serial treatment. This "generalised" serialism aims not to exclude any musical phenomena, no matter how heterogeneous, in order "to control the effects of tonal determinism, dialectize its causal functions, and overcome any academic prohibitions, especially the fixing of an anti-grammar meant to replace some previous one".
At about the same time, Stockhausen began using serial methods to integrate a variety of musical sources from recorded examples of folk and traditional music from around the world in his electronic composition Telemusik, and from national anthems in Hymnen. He extended this serial "polyphony of styles" in a series of "process-plan" works in the late 1960s, as well as later in portions of Licht, the cycle of seven operas he composed between 1977 and 2003.

History of serial music

Before World War II

In the late 19th and early 20th century, composers began to struggle against the ordered system of chords and intervals known as "functional tonality". Composers such as Debussy and Strauss found ways to stretch the limits of the tonal system to accommodate their ideas. After a brief period of free atonality, Schoenberg and others began exploring tone rows, in which an ordering of the 12 pitches of the equal-tempered chromatic scale is used as the source material of a composition. This ordered set, often called a row, allowed for new forms of expression and the expansion of underlying structural organizing principles without recourse to common practice harmony.
Twelve-tone serialism first appeared in the 1920s, with antecedents predating that decade Schoenberg was the composer most decisively involved in devising and demonstrating the fundamentals of twelve-tone serialism, though it is clear it is not the work of just one musician. In Schoenberg's own words, his goal of l'invention contrariée was to show constraint in composition. Consequently, some reviewers have jumped to the conclusion that serialism acted as a predetermined method of composing to avoid the subjectivity and ego of a composer in favor of calculated measure and proportion. In the 1930s, serial composers such as Schoenberg, Krenek, Wolpe, and Eisler left Europe for the U.S. to escape World War II. This sparked a change in American music as well as the works of the European composers now residing in the U.S.

After World War II

Along with John Cage's indeterminate music and Werner Meyer-Eppler's aleatoricism, serialism was enormously influential in postwar music. Theorists such as Milton Babbitt and George Perle codified serial systems, leading to a mode of composition called "total serialism", in which every aspect of a piece, not just pitch, is serially constructed. Perle's 1962 text Serial Composition and Atonality became a standard work on the origins of serial composition in the music of Schoenberg, Berg, and Webern.
The serialization of rhythm, dynamics, and other elements of music was partly fostered by the work of Olivier Messiaen and his analysis students, including Karel Goeyvaerts and Boulez, in postwar Paris. Messiaen first used a chromatic rhythm scale in his Vingt Regards sur l'enfant-Jésus, but he did not employ a rhythmic series until 1946–48, in the seventh movement, "Turangalîla II", of his Turangalîla-Symphonie. The first examples of such integral serialism are Babbitt's Three Compositions for Piano, Composition for Four Instruments, and Composition for Twelve Instruments. He worked independently of the Europeans.
File:Messiaen - Mode de valeurs et d'intensites series upper line -- Boulez - Structures Ia.png|thumb|right|400px|Olivier Messiaen's unordered series for pitch, duration, dynamics, and articulation from the pre-serial Mode de valeurs et d'intensités, upper division only—which Pierre Boulez adapted as an ordered row for his Structures I.
Several of the composers associated with Darmstadt, notably Stockhausen, Goeyvaerts, and Pousseur, developed a form of serialism that initially rejected the recurring rows characteristic of twelve-tone technique in order to eradicate any lingering traces of thematicism. Instead of a recurring, referential row, "each musical component is subjected to control by a series of numerical proportions". In Europe, some serial and non-serial music of the early 1950s emphasized the determination of all parameters for each note independently, often resulting in widely spaced, isolated "points" of sound, an effect called first in German "punktuelle Musik", then in French "musique ponctuelle", but quickly confused with "pointillistic", the term associated with the densely packed dots in Seurat's paintings, even though the concept was unrelated.
Pieces were structured by closed sets of proportions, a method closely related to certain works from the de Stijl and Bauhaus movements in design and architecture some writers called "serial art", specifically the paintings of Piet Mondrian, Theo van Doesburg, Bart van Leck, Georg van Tongerloo, Richard Paul Lohse, and Burgoyne Diller, who had sought to "avoid repetition and symmetry on all structural levels and working with a limited number of elements".
Stockhausen described the final synthesis in this manner:

So serial thinking is something that's come into our consciousness and will be there forever: it's relativity and nothing else. It just says: Use all the components of any given number of elements, don't leave out individual elements, use them all with equal importance and try to find an equidistant scale so that certain steps are no larger than others. It's a spiritual and democratic attitude toward the world. The stars are organized in a serial way. Whenever you look at a certain star sign you find a limited number of elements with different intervals. If we more thoroughly studied the distances and proportions of the stars we'd probably find certain relationships of multiples based on some logarithmic scale or whatever the scale may be.

Stravinsky's adoption of twelve-tone serial techniques shows the level of influence serialism had after the Second World War. Previously Stravinsky had used series of notes without rhythmic or harmonic implications. Because many of the basic techniques of serial composition have analogs in traditional counterpoint, uses of inversion, retrograde, and retrograde inversion from before the war do not necessarily indicate Stravinsky was adopting Schoenbergian techniques. But after meeting Robert Craft and other younger composers, Stravinsky began to study Schoenberg's music, as well as that of Webern and later composers, and to adapt their techniques in his work, using, for example, serial techniques applied to fewer than twelve notes. During the 1950s he used procedures related to Messiaen, Webern and Berg. While it is inaccurate to call them all "serial" in the strict sense, all his major works of the period have clear serialist elements.
During this period, the concept of serialism influenced not only new compositions but also scholarly analysis of the classical masters. Adding to their professional tools of sonata form and tonality, scholars began to analyze previous works in the light of serial techniques; for example, they found the use of row technique in previous composers going back to Mozart and Beethoven. In particular, the orchestral outburst that introduces the development section halfway through the last movement of Mozart's Symphony No. 40 is a tone row that Mozart punctuates in a very modern and violent way that Michael Steinberg called "rude octaves and frozen silences".
Ruth Crawford Seeger extended serial control to parameters other than pitch and to formal planning as early as 1930–33 in a fashion that goes beyond Webern but was less thoroughgoing than the later practices of Babbitt and European postwar composers. Charles Ives's 1906 song "The Cage" begins with piano chords presented in incrementally decreasing durations, an early example of an overtly arithmetic duration series independent of meter, and in that sense a precursor to Messiaen's style of integral serialism. The idea of organizing pitch and rhythm according to similar or related principles is also suggested by both Henry Cowell's New Musical Resources and the work of Joseph Schillinger.