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Form and Orbital Tonality in the Finale of Bruckner's Seventh Symphony: The Finale of Bruckner's Seventh Symphony

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Abstract

This article investigates questions of form in the Finale of Bruckner's Seventh Symphony, paying special attention to the reversed recapitulation as a problematic category in contemporary Formenlehre. Counterpointing Timothy Jackson's reading of the movement as a ‘tragic’ reversed sonata against James Hepokoski and Warren Darcy's critique of the concept of reversal, it seeks ways of accounting for the movement's novel form‐functional characteristics, which integrate concepts of thematic syntax with a model of chromatic tonality, drawing simultaneously on Schenkerian and neo‐Riemannian theories and the notion of the double‐tonic complex first proposed by Robert Bailey. The argument is contextualised in relation to critical debates about Bruckner's forms that originated during the composer's lifetime, especially claims of material discontinuity and harmonic illogicality, which were common in the symphonies’ pro‐Brahmsian reception and which linger in the discourse up to the present. The article's central claim is that a substantial understanding of both the Finale's form and its critical reception is attendant upon a theory of formal function, which takes seriously the difficulties of harmonic analysis that Bruckner's post‐Wagnerian idiom engenders.

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... Here, we want to point out that an analysis that relies on major or minor keys does not do justice to its intricate harmonic structure (Cohn, 2012). An appropriate analysis of tonality in late 19th-century music, sometimes referred to as "extended tonality" (Schoenberg, 1969), requires more advanced concepts, such as chromaticism, extended harmonies, and symmetrical chords and scales (Cohn, 1996;Haas, 2004;Horton, 2018;Kopp, 2002;Lerdahl, 2001;Polth, 2018;Weiß & Habryka, 2014). Thus, keyscapes based on key-finding algorithms are not suitable for representing extended tonality. ...
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Many structural aspects of music, such as tonality, can be expressed using hierarchical representations. In music analysis, so-called keyscapes can be used to map a key estimate (e.g., C major, F minor) to each subsection of a piece of music, thus providing an intuitive visual representation of its tonality, in particular of the hierarchical organization of local and global keys. However, that approach is limited in that the mapping relies on assumptions that are specific to common-practice tonality, such as the existence of 24 major and minor keys. This limitation can be circumvented by applying the discrete Fourier transform (DFT) to the tonal space. The DFT does not rely on style-specific theoretical assumptions but only presupposes an encoding of the music as pitch classes in 12-tone equal temperament. We introduce wavescapes, a novel visualization method for tonal hierarchies that combines the visual representation of keyscapes with music analysis based on the DFT. Since wavescapes produce visual analyses deterministically, a number of potential subjective biases are removed. By concentrating on one or more Fourier coefficients, the role of the analyst is thus focused on the interpretation and contextualization of the results. We illustrate the usefulness of this method for computational music theory by analyzing eight compositions from different historical epochs and composers (Josquin, Bach, Liszt, Chopin, Scriabin, Webern, Coltrane, Ligeti) in terms of the phase and magnitude of several Fourier coefficients. We also provide a Python library that allows such visualizations to be easily generated for any piece of music for which a symbolic score or audio recording is available.
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The timeworn view that Bruckner's sonata form is a motionless architecture devoid of dynamic processes has long contributed his isolation from the mainstream post‐Beethovenian tradition. Taking inspiration from August Halm's (1914) and Ernst Kurth's (1925) approaches, which were aimed at overcoming this view, this article seeks to elucidate the processual aspects of Bruckner's symphonic form in light of recent theoretical developments in musical form. Specifically, it combines William Caplin's form‐functional theory (1998), especially its beginning–middle–end paradigm, with Matthew Arndt's (2018) reconception of formal functionality to construct a new framework for the analysis of Bruckner's symphonic forms. By way of an analytical case study of the first movement of Bruckner's Sixth Symphony, the article reveals that the expression of continuous motion occurring across discrete formal entities, often further dramatised by ‘wave dynamics’ (Kurth 1925), is fundamental to Bruckner's reinvigoration of sonata form's inherent temporal process in a post‐Romantic context. In the exposition, the inter‐thematic beginning, middle and end paradigms are redistributed to the three thematic groups, which express their unique temporal domain while delineating a continuous tonal journey from the home key to the subordinate key. The remainder of the movement articulates a gradual journey of homecoming, with each subsequent large‐scale part addressing previously suggested tonal implications. Ultimately, the modified form‐functional approach adopted in this study sheds light on Bruckner's exceptional care for formal syntax on various levels of structure, and its close association with an overarching, though unconventional, tonal plot.
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In a small number of sonata forms scattered across the nineteenth century, the development is followed immediately by a return of the subordinate theme, the main theme coming back only later or not at all. How to interpret these forms – often casually referred to as sonata forms with ‘reversed recapitulation’ – has been a topic of debate among theorists within the new Formenlehre. While some (e.g. Hepokoski and Darcy 2006, Smith 2019 and Hepokoski 2021) have argued against the ‘reversed recapitulation’ model and in favour of an understanding along the lines of the (eighteenth-century) ‘type 2 sonata’, others (e.g. Wingfield 2008, Wingfield and Horton 2012 and Vande Moortele 2017) have problematised that position on historical and analytical grounds. This article weighs the arguments for and against the various positions, at once problematising the type 2 approach and arguing for a more restrictive application of the reversed recapitulation idea. Analyzing more and less familiar pieces by Mendelssohn (Octet, Op. 20/ii), Schumann (Symphony No. 4/iv), Martucci (Piano Trio Op. 62/iv), Hartmann (Piano Sonata Op. 34/iv) and Hummel (Piano Sonata Op. 106/iv), it develops ways of thinking about these forms that move beyond the dichotomy between type 2 and reversed recapitulation by introducing the categories of ‘main-theme deletion’ and ‘development-recapitulation fusion’.
Article
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Chapter
There is something sphinx-like about Bruckner’s musical forms. They can seem neat and traditional at one moment, but at the next appear free and unconventional. This duality is evident in the rather disparate interpretations, ranging from the accusation of ‘formlessness’ to the claim that Bruckner’s symphonies represent a pinnacle in the evolution of musical form, that have been offered, discussed, and elaborated from the nineteenth century onward. A prevalent early judgement found Bruckner’s music ‘formless’. This concern was first raised after the composer conducted the Second Symphony on 26 October 1873. A. W. Ambros, staking out what was to become a familiar position, wrote that instead of exhibiting, as expected, a ‘firmly joined musical structure [festgefügte musikalische Tektonik]’ the symphony drove the listener to ‘breathlessness’ by presenting a series of ‘tonal shapes [Tongebilde] wilfully strung one after another’. Throughout the 1880s the notion that Bruckner’s symphonies were chaotic in form percolated through antagonistic reviews, most importantly in those by Hanslick, Kalbeck, and Gustav Dömpke. Dömpke, for example, opened his review of the Viennese premiére of the Seventh Symphony with the assertion ‘Bruckner lacks the feel for the primary elements of musical formal shape, for the coherence of a series of melodic and harmonic component parts.’ Even observers sympathetic to Bruckner’s music were occasionally puzzled by his forms; Hugo Wolf referred to a certain ‘formlessness’ that haunted the symphonies despite their ‘originality, grandeur, power, imagination and invention’.
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Article
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Article
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Article
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Article
The article examines notions traditionally attached to the concept of cadence in general, retains those features finding genuine expression in "the classical style" (as defined by the instrumental works of Haydn, Mozart, and Beethoven), and investigates problematic ideas that have the potential of producing theoretical and analytical confusion. It is argued that cadence effects formal closure only at middle-ground levels of structure; a cadential progression is highly constrained in its harmonic content; cadential function precedes the moment of cadential arrival, whereas the music following this arrival may be postcadential in function; cadential content must be distinguished from cadential function; cadence represents a formal end, not a rhythmic or textural stop; and cadential strength can be distinguished in its syntactical and rhetorical aspects. An analysis of selected musical passages demonstrates that an accurate identification of cadence has a major impact on the interpretation of musical form and phrase structure. © 2004 by the American Musicological Society. All rights reserved.
Article
The AMusic flat sign-C-E major-third constellation stands as a prototype for nineteenth-century composers' expressive and structural uses of chromatic major-third relations. After tracing the origins of the collection, this article presents a conglomeration of hierarchic and transformational analytic approaches to AMusic flat sign-C-E music by central European composers to demonstrate that recognition of the complex comprises a valuable added dimension to our structural and phenomenological hearings of romantic-era music.
Article
Although recent scholarship has witnessed a welcome disavowal of the view that Schubert's formal and tonal designs in sonata form compositions bespeak the song composer's inability to master large-scale instrumental genres, it remains a commonplace to characterize Schubert's unorthodox practice as "lyrical." Yet the historical, theoretical, and aesthetic bases of this lyricism have received little critical attention. A systematic and historically grounded approach to the notion of lyrical form in Schubert may be established by appealing to the rhetorical distinction between hypotaxis and parataxis, which pervaded late 18th-century discussions of both music and language. In particular, parataxis, a style that deliberately omits syntactical connections and relies instead on juxtaposition and parallelism, offers a suggestive technical link between Schubert's instrumental practice and the discursive techniques of contemporaneous lyric poetry. There are also aesthetic connections between idealist views of the lyric and the composer's own artistic beliefs, as confirmed by biographical documents. Schubert's approach to form was as much informed by these literary sensibilities as by the Classical compositional tradition. Like poets for whom the lyric served both as an Arcadian ideal of song and as an alternative to the prosaic realities of the present, Schubert evoked the lyric within the context of the sonata as a means of reunifying the dissociated sensibility of the Enlightenment. In so doing, he secured a place for the poetic imagination in instrumental music. © 2006 by the Regents of the University of California. All rights reserved.
Article
This article analyzes Hugo Wolf's Auf eine Christblume I and II in relation to Robert Bailey's concept of the "double-tonic complex." These songs project an intricate pairing of D and Ft tonalities that often result in various hexatonic relationships. My interpretation associates the D/Ft complex with the central poetic subject: the Christmas rose. The article introduces Wolf's setting, reevaluates Bailey's idea, and offers an in-depth herme- neutic analysis of the two songs.
Article
This is a broad, comprehensive study of Stravinsky's famous ballet. In the early chapters, van den Toorn draws on the composer's correspondence, sketches, and annotations of the original Nijinsky choreography to trace the compositional process from the initial Stravinsky-Roerich collaboration to the celebrated premiere of the ballet on 29 May, 1913. He discusses the numerous revisions that followed the completion of the score, as well as Stravinsky's changing aesthetic attitudes. In chapters 3 and 4, the author turns to The Rite's most striking feature - its explosive rhythm and timing. A central concern here is the traditional context for the music's revolutionary rhythmic practice. In the course of his discussion, van den Toorn refers to many of Stravinsky's other works. His theory of meter and rhythm is thus shown to be relevant to Stravinsky's music as a whole. The concluding chapters are devoted to The Rite's harmonic and melodic materials, as traced to Stravinsky's teacher, Rimsky-Korsakov. The text is supplemented by some 90 musical examples. Readership: musicologists and students of the music of the 20th century.
Article
Adorno's essay on Schubert opens by invoking a fraught move across the threshold that separates the death of Beethoven from the death of Schubert. He goes on to read Schubert's music through a series of dichotomies whose opposite terms are distinctly Beethovenian: Schubert's themes are self-possessed apparitions of truth rather than inchoate ideas that require temporal evolution; his repetitive, fragmentary forms are inorganic rather than organic, crystalline rather than plantlike. Above all, Adorno develops the idea that Schubert's music offers the repeatable truth of a landscape rather than the processive trajectory of a teleological history. Schubert's themes, like landscapes, are forms of permanence that cannot be fundamentally altered but can only be revisited. With special emphasis on Schubert's G-Major String Quartet, this article inflects Adorno's view of Schubert's landscapes by considering how these "truths" also present themselves as illusory and inward (e.g., how some of Schubert's thematic areas can be heard to project a visionary interior space in the way that they suddenly introduce a markedly different realm or the way that they obliquely inhabit their tonal centers). It is then argued that Schubert's music is thus steeped in an existential consciousness for which subjectivity is the only knowable truth. And this truth bears repeating, in the double sense that it can be repeated and it must be repeated.
Article
This translation is based on an amended typescript in the New York Public Library, Oster Collection, File 31, items 281-53, transcribed here on pp. 131-231. Details of the organisation of this document, and of the nature of the changes made by Schenker to the original typescript, are provided in my introductory essay and in the preface and notes to the transcription. For passages in which Schenker's handwriting has been deemed illegible, I have adopted the following procedures: center dot Where the sense of a phrase or sentence with handwritten corrections can plausibly be determined from what is legible, any words that are needed to complete the sense are enclosed in square brackets. center dot Where the meaning of a word or short phrase cannot be determined, a gap is indicated by an ellipsis [...]. center dot Where the meaning of an entire sentence cannot be determined with confidence, the translation is based on the original typescript and a note indicating this is provided. In revising the typescript, Schenker at times cancelled sentences and even whole paragraphs, sometimes by putting a cross over the material to be deleted, sometimes merely by drawing a faint line across the page. If this material is of sufficient scope and, at the same time, does not duplicate arguments in any replacement text, it appears in this translation in a smaller typeface. Otherwise, I have not attempted to offer simultaneous readings of earlier and later phases of the text. Typewritten page numbers in the typescript provide the main referencing system in this translation, and are supplied (boldface in curly brackets) without comment; for pages that are unnumbered, or numbered by hand, I provide the Oster Collection file number in square brackets, for example [31/52]. For the most part the sequence of pages is straightforward and unambiguous. For the text on and around pp. 14-27, and pp. 39-47, Schenker has explicitly indicated or suggested considerable reordering of sentences, paragraphs and larger sections of text for continuity of wording and argument. For details on the reordering of pages in the typescript, see Table 2 in the introductory article. The section headings, printed in boldface type, are my own. They have been added in order to help guide the reader through the various topics discussed, and do not in any way reflect the structure of the typescript, for which Schenker provided no such markers.
Article
Examples of directional tonality, associative tonality, associative theme and motivic parallelism all appear in the Act III Finale to Die Feen, Wagner's first complete opera. The inter-relationships evident among these compositional principles foreshadow a level of sophistication usually attributed to the more mature music dramas, suggesting that the keys to unlocking das Geheimnis der Form can, in some senses, be found in an understanding of the earlier works. The present study adopts a range of theoretical paradigms in order to address the variety of Wagner's musical and dramatic techniques. Used in conjunction, Schenkerian generative views of tonality, Robert Bailey's dramatic-tonal concepts, neo-Riemannian transformations and an understanding of thematic association enable a series of analytical observations unattainable through any single interpretative approach.
Book
This book is recognized as the seminal work paving the way for current studies in mathematical and systematic approaches to music analysis. The author, one of the 20th century's most prominent figures in music theory, pushes the boundaries of the study of pitch-structure beyond its conception as a static system for classifying and inter-relating chords and sets. Known by most music theorists as "GMIT", the book is by far the most significant contribution to the field of systematic music theory in the last half-century, generating the framework for the "transformational theory" movement. Appearing almost twenty years after GMIT's initial publication, this Oxford University Press edition features a previously unpublished preface by the author, as well as a foreword by Edward Gollin contextualizing the work's significance for the current field of music theory.