Opening up serialism

The term ‘serialism’ is often used as a double entendre because it was promoted as a compositional technique and a musical style simultaneously. Writers about music still describe serialism as a set of compositional techniques – think rules for model composition – and as a method for describing the semantics of a certain musical style, implying such techniques have a distinguishing, identifiable ‘sound’ as a genre. In addition, some composers are serialists, and so are some works. But serialist composers do not always compose serial works, and some serial works are the progeny of composers who would deny they are serialists at all (Luciano Berio comes immediately to mind, but so do aspects of the set-based, processed-based compositions by some American Minimalists or Arvo Pärt, themselves trained in serialism).Footnote ¹¹ Indeed, in one of the more recent books dedicated to representing serialism as a practice, Arnold Whittall tacitly uses this spectrum when he transitions from describing serialism as a set of techniques to writing ‘tonality's adaptation and survival are intricately bound up with serialism's adaptation and survival’, thus demonstrating the potential slippage from a set of compositional strategies to a broad range of stylistic practices.Footnote ¹² In my abstract, I refer to my observations as a deconstruction of the term ‘serialism’. I do so because I believe these two definitions are in conflict with one another in such a way that to challenge one is to destabilize the nature of the other.

This tendency began decades ago, with the composers themselves. Mid-century commentators conflated these important distinctions when they suggested that serialism was a set of musical techniques for composers and that each composition in the style of serialism represented its own, individuated world of musical semantics, a composer's ‘musical language’. (The journal Die Reihe represents this tendency in spades, as does the debate over serialism's relationship to structural linguistics at mid-century.Footnote ¹³) Significantly, twenty-first century revisionist considerations of this trend that rehash these arguments still reach conflicting conclusions. Composers who rebelled against the sound or aesthetics of Darmstadt serialism further confused things by suggesting their music was not really ‘serial’, even as they assimilated dodecaphonic or serial practices. In short, they avoided the stylistic connotations of serialism while borrowing from its cache of compositional techniques.

Granted, many of these composers – including Boulez and Berio – were not writing about music for posterity. Conflicts between what they said and what they did are rampant – a fact that is clearer since the establishment of the Paul Sacher Stiftung and the publication of numerous sketch studies of canonic serialists.Footnote ¹⁴ Both composers also used disingenuous comparisons to others to stress their own uniqueness.Footnote ¹⁵ This adds additional motives to composers’ explanations of their compositions. For example, Boulez's rhetoric stresses his stylistic autonomy through his autodidactic nature, thus minimizing the role of his teachers and influences at every turn, from Messiaen and Leibowitz to Schoenberg and Jolivet.Footnote ¹⁶ In oral histories such as these, there can be significant differences among first-hand accounts.Footnote ¹⁷

At the same time, Boulez epitomized the rhetorical tactic of stressing his autonomy by associating himself with artists in other disciplines. Beginning with passionate text settings and a closely related Surrealist streak (early mélodies and multiple cantatas with texts by René Char), Boulez's twenties were spent with the likes of Armand Gatti (playwright, stage director, and journalist), Pierre Joffroy (journalist and writer), Bernard Saby (painter), and Paule Thévenin (editor), all while working as music director of the Madeleine Renaud–Jean-Louis Barrault theatre company.Footnote ¹⁸ Likewise, his later writings on open works explicitly reference James Joyce, Franz Kafta, Paul Klee, and, of course, Stéphane Mallarmé.Footnote ¹⁹ Boulez was not alone in using this strategy – many composers stress their musical autonomy by reference to other fields, just as Earle Brown cited Calder in relation to his 1952 series mentioned earlier. Whether intentional or not, contemporary composers participate in this practice when they write programme notes associating their compositions with particle physics, fractal geometry, race relations, critical theory, the philosophy of mind, and so on (or when artists silo their work as soundscape, sound art, and/or sound ecology to avoid association with the broad assumptions related to European traditions of compositionFootnote ²⁰). In Boulez's case, the ironic takeaway is how the formal polyvalence of open form borrowed from Mallarmé strains the idea of stylistic autonomy precisely because of its intertextual resonances. Few would suggest Joyce can be thoroughly appreciated without a long list of footnotes to aid one's textual exegesis. Boulez's Don is not dissimilar: to call it a serial composition can be a sleight of hand that distracts us from a myriad of other stylistic associations.

Exploring the open-work concept in context

It may be problematic that textbooks – the epistemological basis for most music students and teaching faculty – separate the treatment of post-war music into chapters on Cage and the New York School on one side of the Atlantic, and Boulez and Darmstadt on the other, as both Oxford and Norton histories do. While there are many differences between American and European experimentalism, such rhetorical strategies splinter related dispositions into antitheses that resonate at geopolitical levels.

Consider that Boulez and Cage met in 1949. At the time, Boulez was barely 24 years old, while Cage was fast approaching 37. Reflective of their ages, Cage was in France with Merce Cunningham after winning two major academic awards: a Guggenheim and a National Academy of Arts and Letters grant. He had also premiered some of his Imaginary Landscapes (no. 1 in 1939, nos. 2–3 in 1942) and his Sonatas and Interludes (1948). Yet, many of Cage's most influential works – 4′33″ (1952), the Music of Changes (1951), and other I Ching-based works, his tape mixes (Williams Mix (1952), Fontana Mix (1958)), and several of his theatrical, staged, and mixed-media works – were all subsequent to meeting Boulez. Meanwhile, Boulez had yet to publish a single work, despite a growing reputation as an up-and-coming composer. Both were embracing experiments in serial composition at the time of their first meeting (Cage with his Sonatas and Interludes, his string quartet, and the various I Ching-derived tables for Music of Changes, Boulez with Livre pour quatuor and Polyphonie X). In their subsequent correspondence, they mutually encouraged each other to explore new compositional techniques in increasingly detailed ways.

As a result, their now famous exchanges often danced around questions of dominance, leadership, and new music.Footnote ²¹ One constant, however, was each composer's dedication to serial techniques, otherwise described as their desire to use specific sets and permutations of non-tonal collections as the basic building blocks of musical structure.Footnote ²² In fact, their longest and most intense letters involve sharing intimate details about the serial procedures behind their works. Even Cage's discussions of chance stressed strict organizational procedures. Note, for example, the following description of Cage's Imaginary Landscape No. 4:

Boulez's first response is positive: ‘I must write you a long letter soon on the subject of your last letter. I found it incredibly interesting. We are at the same stage of research.’Footnote ²⁴ Later, he gets more to the point:

The exchange highlights many things. First, Boulez's own work on Mallarmé's Coup represents his early consideration of open form; second, Cage's reference to this work highlights his desire to credit Boulez's influence, and third, Boulez emphasizes the significant overlap between their experiments, but he gets hung up on using coins as a strategy. His language points to an underlying tension over the framing of compositional innovations despite what they share. A commonly cited difference is that Cage's rhetoric de-emphasized his control over the outcome, while Boulez wanted to stress the authority of the composer. But even in this respect, the composers are closer than they seem. We know from Benjamin Piekut that Cage's rhetorical strategies were too easily misinterpreted regarding his feelings about authorship, such as when Charlotte Moorman stole the spotlight.Footnote ²⁶ Meanwhile, Boulez acknowledged that the use of serial processes is already a way of introducing ‘chance’ into the compositional process (he also borrowed the series for his very next work from Olivier Messiaen rather than coming up with his own).Footnote ²⁷

The composers discussed several works-in-progress. Longer discussions involved both composers’ string quartets, Cage's Sonatas and Interludes and Music of Changes, and Boulez's Polyphonie X and Structures, Book 1. Letters often included schematic diagrams or notated music (even in handwritten letters on unlined paper).Footnote ²⁸ Reading these exchanges reveals many aesthetic subtleties that became conflicts between them. But serial approaches to composition provided a shared foundation for their experiments even when the individual rhetoric used to codify, describe, and promote their musical goals led to oppositional comparisons.

Admittedly, Boulez and Cage's correspondence ebbs within a couple years. In the meantime, they are genuine in their sharing of ideas, methods, and sympathies. I write ‘genuine’ because their claims are falsifiable: we can look at sketches of Boulez's and Cage's works and confirm that what the composers said is often what they did. This is in contrast to non-falsifiable (or simply false) claims found in other contexts.Footnote ²⁹ This makes the correspondence fundamental to each composer's exploration of open form throughout the 1950s.

For example, just five to seven years after their correspondence ebbed, Boulez used Mallarmé's Livre and Kafka's labyrinths to contrast his open musical forms as much from the aesthetics of Cage as from those of Stockhausen. In his famous essay ‘Alea’, Boulez was adamant that open musical forms were not loose, aleatoric, or built on ‘chance’. Instead, an open form allowed for rearrangements of modular parts, thus ‘opening’ the structure of the work to variation. When compared with Cage's contemporaneous experiments, the differences in what constituted an open work are not so easily summarized. For example, Boulez misreads Cage's project in ‘Alea’ as one of unrestricted chance, even while he was well aware of the systematic compositional processes that lay behind Cage's rhetoric and how obsessed his American counterpart was with organization. This belies a further misreading that conflates, on the one hand, the use of chance in composing a work (which need not have any ramifications for performance choices in the score), and, on the other, the radical differences between open works as indeterminant graphic compositions and open works as multivalent scores with more prescriptive notation. Such distinctions are relevant across Cage's output during the 1950s, such as between the methodically composed Williams Mix and Music of Changes and the strictly choreographed but far less prescriptive notation of Concert for Piano and Orchestra (1958) and Water Walk (1959). In a thinly veiled passage, it is all too clear how Boulez chose to ignore the subtleties of Cage's disciplined practice in order vent his frustration at their ethical differences: ‘I like to call this an experiment in accidental chance – if experiment is the right word where an individual, who feels no responsibility for his work, but out of unconfessed weakness and confusion and the desire for temporary relief, simply throws himself into a puerile mumbo-jumbo.’Footnote ³⁰ It is difficult to reconcile this passage with Boulez's written correspondence with Cage even as late as 1954.

It would have been more appropriate for Boulez to focus on the notational experiments of Cage's New York colleagues. For if there was one major difference between the approaches of European and American composers during the 1950s regarding open works, it was their scores and not the I Ching. Early scores by the New York School embraced new notational practices, often with an emphasis on visual simplification alongside a more flexible reading of it. (Cage may have been the leader of the so-called New York School, but Brown, Feldman, and Christian Wolff first embraced more flexible scores in this way.) For example, Brown's stave-less December 1952 remains one of the most often cited examples of the influence of Abstract Expressionism in music, while Feldman's early works utilized a relativistic notation of high, middle, and low regions of the staff (as in his Projections of 1950–1). Wolff had his own similar use of lines rather than pitches to create a relative sense of higher and lower pitch motions (as in his Madrigals for three voices, 1950).Footnote ³¹ Meanwhile, Cage's contemporaneous Music of Changes features precise, conventional notation.

These comparisons are significant. Although Boulez made his way to New York and the pianist David Tudor helped to bring the works of the New York School to Europe, there was minimal interest in Europe to adopt the kind of open, flexible score notations of the early New York School during the early 1950s. Thus, although Cage continued to experiment with new visual possibilities, his 1957–8 Concert for Piano and Orchestra is a telling example of just how influenced he was by European models. Composed around what may have been a moment of peak curiosity for Cage's music in Europe, his Concert is a meticulously notated score that combines spatial formats that parallel those used by Stockhausen (Klavierstück XI, 1956) and Boulez (Troisième sonate, 1955ff.) with graphic inserts inspired by his New York colleagues. Cage's score was still unique, and its notational approximations probably influenced a host of later European composers (from Krzysztof Penderecki to Witold Lutosławski and Helmut Lachenmann). But compared with earlier works by Feldman, Brown, and Wolff, Cage's score sits on the European side of the ideological divide in title, genre, design, and notational practice. Even works as theatrical as his famous Water Walk, filmed lived for TV, are often notated using a timetable and performed with a stopwatch, and his 26′ 1.1499″ for a String Player (1955) is also exacting in its notational standards despite its performance options. With works such as these, one could argue that the flexibilities of Cage's scores privileged structure above all else (which, as with coin tosses, is to highlight compositional strategies rather than our – or Cage's – priorities in listening). Not unlike the Art of the Fugue, Cage's openness to changes in instrumentation or the size of an ensemble is counterpointed by the strictness of his musical directions on the page.Footnote ³² In short, Cage's experimentation was pushing against the traditional composer–performer relationship, but it was doing so with complexes of precisely notated pitches, durations, and directions that actually helped bridge the divide between his colleagues in America and Europe while separating himself from both. Incidentally, this complicates the traditional narrative suggesting Cage and his cohort were similar in their notational innovations and their desire to liberate the performer, or that precisely noted scores were always synonymous with the desire for greater authorial control.

For his part, Boulez was also experimenting with open forms in ways that belie traditional narratives. His Troisième sonate is still the most cited example of open form in his output, but it is also considerably more limited in approach than his subsequent experiments with open form, such as the second chapter of his Structures, Book 2, or the original versions of several pieces from Pli selon pli. In these later examples, Boulez's approach to open form goes well beyond the surface-level descriptions of his spatial Constellations-Miroir from the Troisième sonate. In short, while the sonata involves the navigation of soloistic passages still organized by a singular serial plan, other examples combine heterophonic blocks that themselves involve multiple or different forms of serial organization. This difference shifts the ontological nature of open form for Boulez, in that it is not merely the order of elements that is loosened, but the underlying hierarchies of serial organization – a change in the constitution rather than the mere physiognomy of any musical work. As such, these later works incorporate an openness in how their pitches and forms are derived from a compositional perspective, challenging the Cage–Boulez dichotomy by revealing the flexibilities and ‘improvisations’ in Boulez's changing approach to serial organization. (These points are elaborated upon in my treatment of Don in the following section, but are at their most obvious in the 1961 Structures, Book 2, Chapter 2.)

This is not to deny the many contextual forces that distinguished Cage and Boulez after their correspondence waned. For example, Boulez's notoriety increased substantially during the mid- to late 1950s. This included powerful institutional backing, with frequent overtures made by Wolfgang Steinecke to participate in the infamous Darmstadt summer courses, and Heinrich Strobel encouraging Boulez to participate in the Donaueschingen music festival. Many of these experiences pressured Boulez into the role of a figurehead, with the Shakespearean consequence that the source of his inspiration as a leader – his uncompromising pursuit of impossibly high self-standards – was exactly the ambition that came to jeopardize his personal relationships.

Meanwhile, Cage began practising Zen Buddhism, embracing the teachings of Daisetsu Teitaro Suzuki to a near fanatical degree.Footnote ³³ His new practice informed the tone and direction of his aesthetics and gave him an original voice among a growing coterie of musicians and visual artists in New York. These teachings gave Cage a platform of positivity, possibility, openness, and humility – all in contrast to Boulez – even as he shared Boulez's stringent self-standards and similarly suffered from their effects on others.

Cage's turn to Zen teachings aligned with the growing rhetorical rift between himself and Boulez. Whereas Boulez would often launch his harshest personal criticisms against former teachers and colleagues based on ideological differences rather than technical ones, Cage would all but ignore the actual practices of others, preaching instead of the infinite possibilities of sound with a focus on his own works and influence.Footnote ³⁴ Boulez wrote privately to Henri Pousseur and Stockhausen to argue that Cage's methods were essentially bunk to counteract the American's expanding influence. Meanwhile, Cage's ironic comments regarding Boulez paint him as out of touch or irrelevant.Footnote ³⁵ Distilling these tensions reveals the roots of an aesthetic-geographic divide: Boulez's greatest frustration with Cage was not how he composed, but the fact that he used the word ‘chance’ as a verbal metonym for his distortion of traditional Western aesthetics using an Eastern lens. In the decades that followed, composers such as La Monte Young, Philip Glass, Steve Reich, and Terry Riley continued to associate their interest in Eastern philosophy as a counterpart to Western training strongly rooted in serialism, a trend that parallels the ‘rhetoric of autonomy’ strategy of dissociation with a related musical coterie by association with a non-musical one. By contrast, an increasingly Eastern–European coalition continued to develop a penchant for precisely notated extended techniques (canonically represented by composers such as György Ligeti, Ernst Krenek, Witold Lutosławski, Alfred Schnittke, Sofia Gubaidulina, and Arvo Pärt, among so many others). Yet, these ‘traditions’ were not so geographically circumscribed in the 1950s; at that time, Cage's explorations were paralleled by a number of European composers without the strong anti-serial thrust of some later American ones, just as Boulez (and others) eagerly explored world music traditions as an escape from Eurocentrism.Footnote ³⁶ While beyond my purposes here, these points remind us of the year-by-year shifts between post-war, Cold War, and post-1968 geopolitical landscapes and their influence on composers’ choices of rhetoric.

Returning to 1958, it was thus massively significant when Boulez's close confidant Stockhausen suggested Cage as a lecturer at Darmstadt, a recommendation that, unbeknownst to Stockhausen, ultimately aligned with Steinecke's last-minute need to replace Boulez later that same year.Footnote ³⁷ The suggestion came one year after Boulez's ‘Alea’ was read at the festival, and two years after a public argument between Boulez and Stockhausen regarding Cage's Music of Changes.Footnote ³⁸ Stockhausen's later recommendation thus amounted to a thinly veiled betrayal meant to challenge the aesthetic dominance of the Frenchman within his inner circle. The events help to explain the caustic yet vulnerable language of Boulez's attacks on Cage and his methods, as well as his changing relationship with Stockhausen and other Darmstadt composers at this time.Footnote ³⁹ It is not an exaggeration to suggest that Boulez's correspondence with several composers dwindled shortly after this period due to these events.

Still other factors contribute to this narrative. Boulez was also beginning his ascent to the conducting podium. Although he had been music director of Madeleine Renaud–Jean-Louis Barrault theatre for over a decade, his first major conducting gig was not until March 1956, when he produced his own Le Marteau sans maître (1955) with the Domaine musical. Shortly thereafter, in June 1956, Boulez conducted his very first orchestral programme while touring with the Barrault theatre company in South America; this time, he was conducting Prokofiev, Debussy, and Stravinsky with the Venezuelan Symphony Orchestra. By 1958, Boulez's ambitions as a conductor were growing, and the challenges he undertook were of the highest calibre. Among these were conducting his own Poésie pour pouvoir (1958) for tape and multiple orchestras, itself a belated response to Stockhausen after the success of Gesang der Jünglinge (1956), Zeitmasse (1956), and Gruppen (1958), the latter of which Boulez conducted alongside Stockhausen and Bruno Maderna. Shortly thereafter, the efforts of William Glock and Lawrence Morton would help Boulez establish conducting opportunities in London and the United States, leading to major contracts with the BBC, London, and New York Philharmonic within about a decade.Footnote ⁴⁰

Boulez learned a tremendous amount from conducting his own works and those of his peers. Although he was never a fan of graphic notation, his tolerance for alternative score layouts and open musical structures waned primarily as a result of discovering the issues they caused in rehearsal as a conductor. This included his own works. His most prominent and varied experiments in open form occurred in the late 1950s and early 1960s – after his major criticisms of Cage and in parallel with his rise as a conductor. But the confluence of varied contexts and later revisions to some of these works have hidden these realities from view. If Boulez's Troisième sonate and his related essay ‘Alea’ is stressed, then his conflicts with Cage also take on a particular tone and context, as do his aesthetic positions regarding open form, solo performers, and authorship. But if one instead stresses his experiments with open form in the years after penning ‘Alea’, a deeper, more meaningful, and more individual embrace of practices comes to the surface.

Boulez ultimately abandoned the idea of open form for practical reasons relating to the tendency of performers and conductors to pre-plan performances of open works on the one hand, and the inability to adequately rehearse them with ensembles on the other. His revisions to Pli selon pli align with his frustrations with open scores as a conductor and not with any ideological change of heart; indeed, in describing the experience, he seems careful to uphold the value of the open-work concept even while he admits its limitations.Footnote ⁴¹ It would be several years before the likes of Henry Brant and Cornelius Cardew's Scratch Orchestra would take variable notation with large ensembles to its furthest extreme. In the meantime, Boulez's conducting experience closed the door on open form for practical rather than polemical reasons.

This network of circumstances both clarifies and muddles our historical perception of an emerging idea across two continents over the course of the 1950s. It would be wrong to dilute the real differences between the so-called schools on either side of the Atlantic, but it is equally important to distinguish the techniques of serialism from either 1) charged ideological differences related to self-promotion or 2) their stylistic manifestations as more or less ‘open’ variations in authorial control or sonic outcomes. Although some composers embraced the flexibilities of graphic scores and freer notational practices, Cage's early open forms tended to privilege exacting notational standards regardless of his use of so-called chance procedures to compose them. Meanwhile, Boulez embraced the role of the performer in the late 1950s and early 1960s, only to give up on this mode of experimentation for practical rather than aesthetic reasons. Although they justified their aesthetics using different, even opposed philosophical sources, Cage and Boulez started their experiments towards new horizons together by combining precisely notated, set-based compositional processes with open forms. There is no mistaking that they pursued different ends. But to mistake Cage's rhetorical emphasis on ‘chance’ with an abandonment of rigorous compositional, organizational, and notational standards would be to succumb to Boulez's misreading of Cage's experiments in ‘Alea’. Similarly, to assume that serialism had a leading role to play in the resulting stylistic distinctions between them risks conflating the dominance of some compositional techniques over a host of others.

Don: open in design and construction

Boulez's experiments with open forms reached new heights in two major works: Pli selon pli and the second movement of his Structures, Book 2 (1961).Footnote ⁴² Pli selon pli is often discussed in relation to Stéphane Mallarmé due to its three interior text settings labelled as ‘improvisations’ on the poet, with its two bookends – Don and Tombeau – inspired by individual lines from the poet's oeuvre.Footnote ⁴³ As I argue in this section, the concept of improvisation was not limited to the central movements of the set. Instead, a philological investigation of Don provides insight into Boulez's openness regarding serialism's potential as a set of techniques exemplified by planning, play, and structural possibilities. Meanwhile, changes in the disposition of the work highlight the underdetermined nature of serialism as a style. Juxtaposing these two types of observations clarifies how the techniques of serialism should not be confused with a singular or consistent set of formal conventions or stylistic outcomes.

Boulez's increasing demand as a lecturer and conductor aligned with one of his most prolific and experimental periods as a composer in the late 1950s and early 1960s. There is little doubt that scheduling conflicts and limited energy were a catalyst for Boulez to reconsider his compositional process. I contend that these pressures led to his first pragmatic uses of transcription and improvisation as a means for inspiration and efficiency, from the reuse of row matrices across multiple works in the early to mid-1950s (as between Oubli signal lapide (1951) and Le Marteau sans maître, or between L'Orestie (1955), Symphonie mécanique (1955), and the Troisième sonate) to more overt reuses of composed material (as discussed later with Don, but also in the reuse of the early Notations in Le Crépuscule de Yang Koueï-Fei (1957) and Pli selon pli, among other instances).Footnote ⁴⁴ These new strategies facilitated a much-needed boost in compositional speed. They also conveniently aligned with ongoing experiments in open form by shifting a core affordance of serialism from the organizational coherence between micro and macro musical structures (as in linguistic models of music) to the ability to assimilate different source materials and compositional processes into new works through related isographies (as in collage and spatialized musical heterophony).Footnote ⁴⁵ In compositions by both Boulez and Cage, this shift resulted in new formal designs in which the input of the performer varied the predictability of a compositional outcome. It also disrupted any clear association between the early pointillistic examples of integral serialism from the virtually infinite stylistic possibilities of works composed using later serial techniques.

Boulez's first official sketches for Pli selon pli probably date from 1957, but fragments of its history are older. After the success of Marteau in 1955–6, Boulez was balancing increasing numbers of conducting opportunities, publications, and public lectures. He was also offering a new work to Wolfgang Steinecke and the Darmstadt summer festival. Titled Strophes, it was pitched as a dialogue for flute and ensemble that foreshadowed aspects of open formal structures. But circumstantial pressures coincided with Boulez's inability to compose such an ambitious project; instead, his efforts led to an unpublished work for solo flute that lacked an open form and heavily borrowed most of its musical material from his recent work for theatre, L'Orestie (1955). L'Orestie already shared an organizational matrix with two roughly contemporaneous works – Symphonie mécanique (1955) and the Troisième sonate. Its reuse in Strophes (and later, in Pli selon pli) established a broad network of serial techniques across a range of stylistically varied contexts. Thus, while these connections are not aurally apparent to the listener (Strophes was likely never performed, and L'Orestie never published), their hermeneutic relevance for Pli selon pli is significant.Footnote ⁴⁶

The musical associations between these works include a variety of serial practices that vary in their transparency. First, Boulez annotated a manuscript of L'Orestie with coloured pencil, labelling sections based on their instrumental groups that were then borrowed wholesale as the formal building blocks of Strophes. It is clear that this use of borrowed material dramatically accelerated the compositional process, with some passages appearing as note-for-note transcriptions from one score to the next. However, Boulez was then inspired to try a new serial technique during the compositional process; he used this new technique to systematically transform the polyphonic instrumentation from L'Orestie into a compound solo line for flute in Strophes. Ironically, this surge of creative energy almost certainly slowed the compositional process back down: the insertion of this new technique corresponds with more complex figuration and longer formal sections (including a massive coda that dwarfs earlier sections of the work), and it may be why the work never made it to Darmstadt. The new serial conversions began informally in a set of marginal sketches, but became formalized when Boulez started to label the results as ‘sonnets’.

Boulez's improvised ‘sonnets’ amounted to five or six small melodic statements.Footnote ⁴⁷ He annotated four of them with references to the Mallarmé Improvisations, which he began composing soon thereafter (Figure 1).Footnote ⁴⁸ This small gesture immediately united these sketches with the poetics of Mallarmé, the politics of open form, and an altogether new set of commissions, all within striking distance of his essay ‘Alea’ in 1957.

Figure 1 Draft philological network connecting L'Orestie, Strophes, and Improvisations I–III.

Of course, improvisations are a far cry from the so-called aleatory of coin tosses. First and foremost, Cage's I Ching methods were incredibly time consuming, whereas Boulez's repurposing of previously composed material was a tactic designed (in part) to speed up the compositional process as competing responsibilities surged. Where the two approaches overlap is in how the seeming automation of early organizational phases was reshaped by later compositional strategies to control the resulting product. Just as Cage mediated his I Ching processes through several additional layers of organization, so Boulez recycled some of his musical material through multiple serial processes that radically transformed it, resulting in ordered pitch sequences that violated the intervallic relationships of their original contexts. Multistage serial processes such as these demonstrate the fine line between Cage's ‘chance’ and Boulez's ‘choice’. They also help to distinguish serialism as a set of techniques and serialism as a genre: if composers are continually inserting corrections to serial processes to control the resulting sound of their works, then the stylistic consistency of serial techniques is themselves diminished. If this sounds outlandish, remember that Boulez 1) referenced Mallarmé's modernist poetics as a means for promoting non-linear forms, 2) called his transcriptions sonnets, 3) labelled them improvisations, and 4) processed them in new and different ways in each Improvisation. There is little reason to doubt that the poetics were guiding his use of serial techniques and not the other way around.

The need for compositional flexibility was magnified when Boulez received his next major commission roughly two years later. On 6 April 1959, a patron of the Donaueschingen music festival, Prince Max Egon zu Fürstenberg, died. The prince's death led to a series of commissions by the music director of the festival, Heinrich Strobel, each of which would be featured at the start of the next festival series the following October. Just months before, on 1 January 1959, Boulez moved permanently from Paris to Baden-Baden to be the resident composer of the festival and part-time conductor of the Sudwestfunk orchestra at Strobel's request. Given his new residence – figuratively with the orchestra and literally in living across the street from Strobel – Boulez was first in line to receive the commission; Igor Stravinsky and Wolfgang Fortner were also contacted to write their own tombeaux for the fallen patron.

Boulez began sketching this new work almost immediately. In fact, his first sketches appear on small pieces of note paper with a business header that identifies the location as the Haus Rubens in Baden-Baden, a fact that suggests Boulez may have literally begun jotting things down while on or near the telephone.Footnote ⁴⁹ Significantly, the title of Don also appears alongside two quotations from Mallarmé, prompting the thought that Boulez planned to multitask the commission at an early stage (Figure 2).Footnote ⁵⁰ Although these preliminary sketches led to Boulez's fulfilment of the commission under the unwieldy title of Tombeau: a la memoire du Prince Max Egon zu Fürstenberg, the more significant outcome is that he ultimately dropped the Prince's name when he revised the work to become Tombeau, the final piece of Pli selon pli.

Figure 2 Partial diplomatic transcription of Boulez's first sketch of Tombeau (Paul Sacher Stiftung, Boulez Sammlung G,3f,4). Grey portions are in red on the original. Not shown: page letterhead and additional sketches, in red, of preliminary instrumentation and stage layouts of instruments.

Boulez continued sketching and composing, and it is his later sketches that reveal the gestation of Don as a complex formal complement to Tombeau. Appearing as a small sketch on an index card, Boulez began visualizing an interlaced harmonic structure binding the two bookends of Pli selon pli. Transcribed as Figure 3, this sketch transforms what seemed like a page divide into a formal outline interlocking the movements along a diagonal gradient. In short, although the original Tombeau was a specific commission for a festival patron, it is clear that Boulez opted to associate it with his ongoing Mallarmé project from the start; then, he went a step further and opted to use it as a catalyst for drafting another bookend for the cantata.

Figure 3 Partial diplomatic transcription of one of multiple formal outlines speculating on the potential formal relationship between Don and Tombeau (Paul Sacher Stiftung, Boulez Sammlung G,3f,3).

However, circumstances again got the best of Boulez. The first version of Don was actually a work for piano and voice. In this other version of Don – here referred to as ‘Don’ for piano despite its inclusion of a small vocal part – Boulez followed the model of his Improvisations rather than Tombeau by re-using several parts from his earlier Strophes. In fact, he chose an even faster route, bypassing the melodic sonnets to directly transcribe the melodic lines of Strophes for the new piano work in ways that parallel his original repurposing of L'Orestie for solo flute.Footnote ⁵¹ All this ties ‘Don’ for piano back to L'Orestie and the Improvisations (Figure 4). Throughout, this network is characterized by transcription as a key compositional strategy, which stands in opposition to the preceding isomorphic relationship sketched between Don and Tombeau.

Figure 4 Revised philological network for ‘Don’ for piano and Don for orchestra.

While there is more to this first version of Don, there is still much to report about the later orchestral version. Initial sketches that relate Tombeau to Don are based on re-using harmonic blocs from Marteau, which were themselves borrowed from an earlier work for chorus titled Oubli signal lapidé (1951). Later sketches refine this relationship, as in Figure 5. Here, Boulez provides specific readings of the Greek nomenclature used to organize the Marteau matrix into columns and rows of sequences for use in Don.Footnote ⁵² The sketch also specifically notes its formal isography with Tombeau (which features similar source borrowings from Marteau), although the actual progression of sequences has small variations when compared with that work. One such variance is the fact that Don begins on the second term (Mυ Bη) of the five-unit sequence that begins Tombeau, which itself begins with Mυ Aλ.Footnote ⁵³ More drastic is Figure 6. Here, Boulez expands group ‘e’ from Tombeau featured in the previous sketch as the source for Don's coda. This implies that the form is cut short – the isography connecting the two pieces is disrupted as an entire section, group ‘f’, is jettisoned from Don but maintained in Tombeau. The change is rationalized by the sketch annotations in Figure 5: the section that marks the end of Tombeau links to the beginning of Don by providing its missing first sequence, Mυ. This feature helps to account for the reference to Joyce at the top of the sketch, as Finnegans Wake begins and ends with a bifurcated sentence, just as the missing first element of the sequence that begins Don appears as an incomplete fragment at the end of Tombeau.Footnote ⁵⁴ (What the annotations do not rectify is that Don is still one entire section short by comparison!)

Figure 5 Diplomatic transcription of a sketch of the formal relationship between Don and Tombeau according to the Greek nomenclature of the blocs sonores matrix used in Le Marteau sans maître (Paul Sacher Stiftung Boulez Sammlung G,3b,4).

Figure 6 Diplomatic transcription of a sketch of the form of the coda to Don (Paul Sacher Stiftung Boulez Sammlung G,3b,3).

An additional sketch provides further insight – or frustration – into Don's hybrid design. Figure 7 features elements from L'Orestie/Strophes and the Improvisations with no overt reference to Marteau. Aspects of this outline are traceable in the score. The significance of this sketch is as follows: while it is tempting to privilege isomorphic relationships between Tombeau and Don based on the borrowed Marteau harmonies and the elegant, inversional relationships stressed in Boulez's notecard sketches, Figure 7 reminds us that ‘Don’ for piano has legitimate associations backward to L'Orestie, Strophes, and their reuse in the Improvisations. The irony is that we do not hear these relationships: in the cases where stylistic elements are most closely shared (L'Orestie, Strophes, ‘Don’ for piano), the works remain unpublished, and in the other cases, the nature of the borrowings is at the organizational level of serial processes, which is precisely the level that has no consistently prescribed stylistic (read: aural) connotations.

Figure 7 Diplomatic transcription of an intermediate sketch of the form of Don (Paul Sacher Stiftung Boulez Sammlung G,3b,2). Note the combination of elements from the Improvisations and Strophes/L'Orestie (labelled ‘Str.’).

Although I have yet to discover a strict chronology for how Boulez completed Don, I want to reiterate that I have no reason to doubt that ‘Don’ for piano was completed before Don for orchestra. This raises questions as to when the Tombeau sketches were annotated (remember that Figure 2 was sketched in two colours of ink, which suggests the annotations regarding the isography with Don were made separately). While some of my claims are not currently falsifiable, I believe they have enough integrity to challenge any hermeneutic privileging of the isomorphic relationship between Don and Tombeau as more significant than the myriad of poetic associations that interlace Mallarmé, the ‘sonnets’, the Improvisations, and even L'Orestie with the opening of Pli selon pli.

Indeed, the combination of such a heterophony of sources represents a major shift in Boulez's conception of serialism. The work appears as a collage of different elements – some organizational, others transcribed – that open up the compositional process from the inside out. Furthermore, the structure and its various elements incorporate a large degree of spontaneity, even improvisation. Robert Piencikowski's evasive speculations for Tombeau further ground this perspective: he first questions why Tombeau was not also based on L'Orestie or Strophes before wondering if Marteau's harmonies instead may have provided a degree of separation between the two projects as well as an accelerated path to completion.Footnote ⁵⁵ Given that Boulez frequently fell behind on projects when new serial derivations spun out of control,Footnote ⁵⁶ separating the two projects may have been required to keep Tombeau on track as an important commission from his new boss and neighbour, Strobel. The parallels to Don are multitudinous. In reviewing the different versions of Don, it is easy to see how the use of borrowed harmonies provides exactly the same impetus to bring it to completion. Without these harmonies, ‘Don’ for piano was a loosely defined collage of shared materials that bound it to the Improvisations; with them, Don for orchestra gained a structural lattice that accelerated its completion and established it as a formal complement to Tombeau with an additional connection to Marteau, all without severing its existing ties.

Here, the exception proves the rule. In a recent article on Don, Marina Sudo trumps my previously circulated explanation of a key sketch that reprocesses the borrowed Marteau harmonies for the coda of Don (see Figure 8).Footnote ⁵⁷ Sudo provides a brilliant explanation for a third component of the sketch that I failed to decipher in an earlier publication (we seem to agree on the first two components, although Sudo does not confirm this). We also differ in that I stress the playful whimsy of the sketch while apologizing for my shortcoming, while Sudo uses her code-breaking skills to assert the serial organicism of Don's relation to Tombeau and other borrowed elements (from Improvisation III). Despite the exciting virtuosity on display in her work, I still see Boulez's three-way reprocessing of the Marteau harmonies in this particular sketch as a mischievous distancing of their structural relation to Tombeau and Marteau rather than a reification of such ties.

Figure 8 A sketch representing the reprocessing of harmonies from Marteau for use in the coda of Don (Paul Sacher Stiftung Boulez Sammlung G,3b,5). The alphabetic letters on the left relate to the different sections of the open-format coda.

It is relevant, in this context, to consider that Boulez likely reprocessed his sketch shortly after completing Improvisation III, which itself was based on a number of serial re-processings of borrowed passages from L'Orestie. As I have demonstrated elsewhere, this tendency to repurpose (and reprocess) self-borrowings is an increasingly predictable tic of the composer during his formative period that accelerated as he began to reuse previously composed material across different works.Footnote ⁵⁸ In this case, Improvisation I was short and was mostly transcribed from other sources, Improvisation II contains some elements of reprocessing (especially of the vocal parts), and Improvisation III was a veritable celebration of applying new serial processes to borrowed material.Footnote ⁵⁹ By comparison, ‘Don’ for piano is more closely aligned with the type of transcription found in the earlier improvisations, whereas some of the borrowings in Don align more with the last Improvisation. Meanwhile, the materials borrowed for the coda of Don – the music relevant to the sketch in question and to Don's status as an open work – are perhaps the most obfuscated of all. In this sense, the ending of Don – likely the last composed portion of Pli selon pli – is ironically more aligned with Boulez's stylistic denial of borrowed materials than his celebration of them, while the first version of ‘Don’ for piano – the potential source of any ‘organic’ conception, whether poetic or structural – imitates the more transparent reliance on transcription and borrowing that characterize Improvisation I.

By this point, the reader may have surmised that the actual ‘open’ formal structures in Don's coda barely compete with increasing openness in Boulez's creative process throughout the late 1950s. To succinctly review: the relevant ‘open’ structures appear in the published coda of the 1967 score as ten sections labelled AaBbCcDdEe. While the open score is one of several that demonstrate Boulez's many different approaches to the concept, it is not a particularly interesting case. Performers link the alphabetic labels according to directions in the score to get to the end. By the time the original score was published in 1967, Boulez had effectively revised the work by establishing one preferred pathway as a conductor in performance.Footnote ⁶⁰ This preferred pathway was not represented in print, however, until a revised score appeared in 1989 (with other significant changes).Footnote ⁶¹ To summarize my over-arching point: the implication is that the philology of Don is a far more powerful demonstration of the inherent openness of serialism as a set of compositional techniques than its ‘open’ structures were of some new stylistic horizon for serialism as a genre.

Returning to historiography, I value the reverse engineering that is possible with sketch studies, and it tends to be the starting place of my work on Boulez. In the case of Don, none of the preceding research would have been possible without access to his sketches and my serial analysis of his compositional techniques. I also want to be clear that I celebrate the terrific work of Emily Adamowicz and Marina Sudo on the movement. But the narrative I construct describes how Don was composed as the result of creative thinking involving a multitude of works and contexts. This does not deny that Boulez sought interesting, ‘purely musical’ relationships in his sketches. But it does balance this perspective with a creative attitude that overtly put ‘serialism’ as a set of flexible techniques in the service of ‘serialism’ as a new, progressive set of stylistic possibilities in form, materiality, and even the work concept itself. Doing so challenges common stereotypes that typically (and unjustly) use the term ‘serialism’ as a derogatory term in service of the rhetoric of autonomy, or that try to associate ‘serialism’ with the sound of a few choice experiments in the early 1950s.

And there it is. Is ‘serialism’ in the preceding sentence a set of compositional techniques or a musical style? Assuming one or the other is as problematic for the New York School as it is for the Darmstadt serialists – and for the many set-based, process based compositional strategies of composers in later decades and across varied geographies. In many cases, the most radical innovations in serialism were not surface-level strategies that ‘opened up’ the ‘rigidity’ of score notation with performance choice, but the organizational tactics that distanced the techniques of serial composition from any predetermined stylistic outcome. This should give us pause regarding the use of the term ‘serialism’ and its problematic nature as a double entendre.

As an alternative, we could follow the spirit of Boulez and Cage's early correspondence and embrace serialism as a set of techniques used to open up music to new possibilities rather than focusing on its appropriation as an antithetical node to the many competing ‘isms’ of twentieth-century music (where competition need not be a factor!). Certainly, an increasing number of specialists have embraced exactly this perspective. Doing so helps correct the misleading rhetorical strategies used to diminish the influence of serial techniques among composers so vehemently opposed to any association with its ill-deserved stylistic connotations. Celebrating such revisionist histories also helps recontextualize composers’ contributions according to their creative processes rather than their associated rhetoric. Finally, it reminds us of a simple but relevant adage for historiography: sometimes actions really do speak louder than words.