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  • Cadence and Closure in Brahmss Late Piano Music

    Joan CampbellDepartment of Music Research, Schulich School of Music

    McGill University, Montreal

    A thesis submitted to McGill University in partial fulfillment of the requirements of the degree of Master of Arts in Music Theory

    June, 2010

    2010 Joan Campbell

  • Abstract

    The nature of closure is a major topic in modern theoretical discourse, as theorists recognize that the type of closure in a composition has an impact on its

    structure, direction, and overall character. The music of Johannes Brahms

    (1833-97) attracts great interest due to his deliberate and complex manipulations

    of the harmonic, formal, and melodic idioms associated with tonal music.

    Through utilizing both syntactic and semantic devices to close his pieces, Brahms

    creates intricate endings which potentially confirm or deny the listeners

    expectation that a piece will come to a complete and satisfying close. In this

    thesis, I explore Brahmss manipulations of cadential progressions and rhetorical

    paradigms in the late piano works, and I discuss the fluid relationship between the

    two as a result of the attenuation of common-practice harmonic and formal norms.

    I extend William Caplins theory of cadence and Kofi Agawus theory of

    rhetorical analysis to evaluate the individual devices of closure in the

    Klavierstcke, Op. 76, 118, and 119, the Rhapsodien, Op. 79, the Fantasien, Op.

    116, and the Intermezzi, Op. 117. After I discuss the specific parameters of

    syntactical and rhetorical closure, I present analytical case-studies which highlight

    the complex interactions between devices of closure in five of the most

    ambiguous of the Klavierstcke. I suggest that as soon as the cadence in a piece is

    problematized, the semantic devices play a compensatory role in the creation of

    closure in Brahms. Furthermore, I demonstrate that closure does not necessarily

    occur at a discrete point in time, but that it is a process which can extend through

    the piece as a whole.

    ii

  • Rsum

    La nature de la clture est un sujet important au discours thorique

    moderne, car on reconnat limportance du type de clture pour crer la structure,

    la direction, et le caractre dune composition musicale. La musique de Johannes

    Brahms (1833-97) attire lattention cause de ses manipulations complexes et

    mesures des idiomes harmoniques, mlodiques, et formels de la musique tonale.

    En utilisant des moyens syntactiques et smantiques pour terminer ses pices,

    Brahms cre les dnouements qui ont le pouvoir de confirmer ou bien dopposer

    le sens dune clture complte et satisfaisante aux auditeurs. Dans ce mmoire,

    jexplore les manipulations de la cadence et de la rhtorique dans les dernires

    compositions pour le piano, et puis je discute du rapport fluide entre les deux

    types de clture grce laffaiblissement des conventions harmoniques et

    formelles du style classique.

    Jlargis la thorie de la cadence de William Caplin et la mthode de

    lanalyse rhtorique de Kofi Agawu pour identifier et pour analyser les moyens de

    la clture utiliss dans les Klavierstcke, Op. 76, 118, and 119, les Rhapsodien,

    Op. 79, les Fantasien, Op. 116, et les Intermezzi, Op. 117. Aprs avoir bien

    explique les moyens syntactiques et rhtoriques de la clture, je prsente

    quelques analyses compltes qui soulignent les interactions complexes des

    moyens de clture dans les cinq morceaux les plus ambigus parmi les

    Klavierstcke. Je suggre quaussitt que la cadence finale dune pice soit bien

    problmatise, les moyens rhtoriques jouent un rle de plus en plus

    compensatoire dans la cration de la clture chez Brahms. En outre, je soutiens

    que la clture ne se trouve pas un moment prcis, mais que cest plutt un

    processus qui se droule tout au long de la pice.

    iii

  • Table of Contents

    Abstract iiRsum iiiTable of Contents ivList of Musical Examples vAcknowledgements vi

    Introduction 1 Brahms Research and Closure 1 Methodology 3

    Chapter One: Cadence and Closure in the Theoretical Literature 7 Defining Closure 7 Cadential Modes of Closure 14 Rhetorical Modes of Closure 19

    Chapter Two: The Cadence in Late Brahms 28 Melody, Cover Tones, and Cadence 32 Cadential Interpolations 36 Contrapuntal Cadences 37 Cadential Resolution to V7/IV 40 Elimination of Cadential Closure 43

    Chapter Three: Rhetorical Closure 47 Semantic and Structural Functions of the Coda 47 Subdominant Harmony and Closure 52 Pedal Points and Static Harmony 58 Thematic Return and Closure 62 Motivic Fragmentation 68 Closure and Character 69 The Limits of Rhetorical Analysis 72

    Chapter Four: Analytical Case Studies 75 Intermezzo in B Minor, Op. 119/1 75 Intermezzo in A Minor, Op. 118/1 81 Intermezzo in B-flat Major, Op. 76/4 86 Capriccio in C Major, Op. 76/8 89 Intermezzo in E Major, Op. 116/4 95 Conclusion: Closure as Process 100

    Bibliography 104

    iv

  • List of Musical Examples

    Example 2-1: Intermezzo Op. 117/3, mm. 98-108 28Example 2-2: Intermezzo Op. 118/2, mm. 110-16 29Example 2-3: Romanze Op. 118/5, mm. 51-57 29Example 2-4: Intermezzo Op. 116/5, mm. 35-39 31Example 2-5: Capriccio Op. 76/1, mm. 62-65 33Example 2-6: Rhapsodie Op. 79/1, mm. 213-33 34Example 2-7: Intermezzo Op. 76/7, mm. 39-46 36Example 2-8: Capriccio Op. 116/3, mm. 93-103 38Example 2-9: Reduction, Capriccio Op. 116/3, mm. 98-102 38Example 2-10: Recomposition, Capriccio Op. 116/3, mm. 98-102 39Example 2-11: Intermezzo Op. 116/2, mm. 81-86 39Example 2-12: Intermezzo Op. 76/3, mm. 25-30 41Example 2-13: Intermezzo Op. 118/4, mm. 108-33 42Example 2-14: Capriccio Op. 76/2, mm. 99-119 44Example 3-1: Rhapsodie Op. 119/4, mm. 230-62 48Example 3-2: Intermezzo Op. 116/7, mm. 71-92 50Example 3-3: Intermezzo Op. 117/1, mm. 49-57 54Example 3-4: Intermezzo Op. 119/3, mm. 49-70 59Example 3-5: Intermezzo Op. 117/2, mm. 70-85 60Example 3-6: Intermezzo Op. 116/6, mm. 55-64 63Example 3-7: Intermezzo Op. 76/6, mm. 80-91 64Example 3-8: Intermezzo Op. 119/2, mm. 96-104 65Example 3-9: Ballade Op. 118/3, mm. 105-17 66Example 3-10: Rhapsodie Op. 79/2, mm. 116-23 70Example 4-1: Intermezzo Op. 119/1, mm. 1-17 76Example 4-2: Recomposition, Intermezzo, Op. 119/1, mm. 58-60 80Example 4-3: Intermezzo Op. 118/1, mm. 1-12 81Example 4-4: Recomposition, Intermezzo Op. 118/1, mm. 5-8 82Example 4-5: Intermezzo Op. 118/1, mm. 13-22 84Example 4-6: Reduction, Intermezzo Op. 118/1, mm. 30-39 85Example 4-7: Intermezzo Op. 76/4, mm. 8-15 87Example 4-8: Intermezzo Op. 76/4, mm. 40-47 88Example 4-9: Capriccio Op. 76/8, mm. 1-6 90Example 4-10: Capriccio Op. 76/8, mm. 10-15 91Example 4-11: Capriccio Op. 76/8, mm. 16-22 92Example 4-12: Capriccio Op. 76/8, mm. 32-34 93Example 4-13: Capriccio Op. 76/8, mm. 50-58 94Example 4-14: Intermezzo Op. 116/4, mm. 63-71 97Example 4-15: Intermezzo Op. 116/4, mm. 53-57 98Example 4-16: Intermezzo Op. 116/4, mm. 37-41 98Example 4-17: Intermezzo Op. 116/4, mm. 42-57 99

    v

  • Acknowledgements

    I gratefully acknowledge the encouragement of my advisor, Prof. Jonathan

    Wild, who has supported this project since its beginning as a seminar paper. Our

    many discussions about this material have made me a stronger analyst and writer.

    I would also like to thank Professors William Caplin and Carmen Sabourin, who

    have generously shared their knowledge of tonal music with me over the past two

    years. While not directly involved in the preparation of this thesis, they have

    profoundly influenced my understanding of music theory, and the many lessons

    which I have learned from them are reflected on every page. Prof. Ren Daley,

    my external reader, provided thoughtful and detailed comments which have not

    only shaped this final version of the thesis, but will also influence my future

    development of this material in other projects.

    The graduate student community at McGill has supported me in

    innumerable ways, both academically and personally. Extensive conversations

    with David Sears, Meghan Goodchild, James Palmer, and Andrew Schartmann

    helped to focus my analyses and refine the scope and goals of the thesis. Dana

    Gorzelany-Mostak proofread my citations, and, perhaps more importantly, could

    always tell when a trip off-campus for a coffee or chocolate break was necessary.

    Finally, I would like to thank my husband, Jesse Huguet, for his

    unyielding and unconditional support of all my musical and academic endeavors.

    vi

  • Introduction

    Brahms Research and Closure

    The late piano works of Johannes Brahms (1833-97) are short, lyrical

    pieces that embrace a variety of harmonic and formal techniques. Brahmss

    audience for these pieces was not the general Viennese public, but a small group

    of musically literate friends who would have been thoroughly familiar with

    archetypical tonal and formal devices.1 These brief works, deceptively simple at

    first hearing, are in fact complex experiments in which manipulate the educated

    listeners expectations for the behavior of tonal music. Jean-Pierre Armengaud

    describes these pieces as unique in the common practice repertoire and as filling a

    conceptual void with condensed musical energy.2 Prior to Brahmss work in the

    genre, he suggests, the Intermezzo was merely filler music, meant to be

    performed in between acts or movements of a more serious work.3 Brahms, while

    preserving the concise form of these pieces, accords to them a new level of

    autonomy, as each individual Klavierstck (piano piece) stands alone and

    complete, with its own unique form and character, unlinked to any larger genre.

    The relatively short lengths of the Intermezzi result in a magnification of the

    importance of each structural area, as Brahms often compresses the compositional

    devices used in much larger pieces, reducing them to their essence and relying on

    1

    1 Camilla Cai, Forms Made Miniature in The Varieties of Musicology: Essays in Honor of Murray Lefkowitz ed. John Devario and John Ogasapian (Warren, Mich: Harmonie Park Press. 2000), 77.

    2 Jean-Pierre Armengaud, Lintermezzo chez Brahms: la tragdie de la mlodie et la renaissance du son, Ostinato Rigore 10 (1997): 138.

    3 Ibid., 138.

  • the listener to perceive the importance of each part within the whole. This reliance

    on the listeners ability to understand structural forms is especially apparent when

    one examines the ways in which Brahms brings these pieces to closure, using both

    semantic and syntactic devices to create complex endings which simultaneously

    confirm and deny the listeners expectation that the piece will come to a complete

    and satisfying close.

    Many scholars have described the unique combination of cultural context

    and musical characteristics which make Brahmss late music analytically

    rewarding. Carl Dahlhaus, for example, suggests that the increased compositional

    complexity of the nineteenth century was a direct result of the emphasis placed on

    social and technological progress during this historical period.4 Walter Frisch, on

    the other hand, focuses on the manifold compositional procedures which Brahms

    uses in the sets of Intermezzi, stating that his manipulations of the typical tonal

    and formal structures are almost infinite in their variety.5 John Rink sees the late

    pieces as particularly emblematic of an opposition between stylistic integrity and

    evolution which characterizes Brahmss compositional output as a whole.6 Indeed,

    such a concept can be applied not only to Brahmss personal development of a

    compositional style, but also to his constant study and manipulation of historical

    devices and idioms.

    2

    4 Carl Dahlhaus, Nineteenth Century Music, trans. J. Bradford Robinson (Berkeley: University of California Press, 1989), 255. 5 Walter Frisch, Brahms: From Classical to Modern, in Nineteenth-Century Piano Music, ed. R. Larry Todd (New York: Routledge, 1990), 375. 6 John Rink, Opposition and Integration in the Piano Music, in The Cambridge Companion to Brahms, ed. Michael Musgrave (Cambridge: Cambridge University Press, 1999), 79-80.

  • Much of the previous analytical work on Brahmss instrumental music

    considers the compositional processes of a single piece, thus creating a body of

    individual case studies which generally does not examine Brahmss use of

    compositional techniques in multiple pieces.7 While the value of these isolated

    analyses cannot be denied - indeed, many of which have profoundly influenced

    the analytical project detailed in this thesis - the current study examines the

    broader characteristics and tendencies of Brahmss methods of achieving tonal

    closure in his late piano works.

    Methodology

    This thesis examines Brahmss manipulation of archetypical common-

    practice syntactical structures and semantic techniques to create and problematize

    closure. I also document the larger tonal and formal contexts which frame and

    contextualize each device. Through this analytical exercise, I demonstrate that a

    changing relationship between structural and rhetorical closure creates an

    increasingly complex definition of closure in which rhetorical devices can

    compensate for the ambiguity or absence of cadential closure.

    Chapter One defines the concept of closure, discussing how the theoretical

    literature explains the meaning of tonal closure in nineteenth-century music, its

    reliance on eighteenth-century precedents, and the idea of ambiguous closure.

    Agawus definition of tonal closure as a dynamic process serves as the central

    3

    7 Representative works include First Case, Brahms: Intermezzo in B-flat, Op. 76, No. 4 by Wallace Berry, Attacking a Brahms Puzzle by Edward T. Cone, , and Three Contradictory Criteria in a Work by Brahms by Joseph Dubiel. Complete citations for these works may be found in the bibliography at the conclusion of the thesis.

  • point of reference for the evaluation of other viewpoints and provides the primary

    conceptual basis for the analyses in the following chapters.8 This section also

    presents theoretical explanations of the many structural and syntactical techniques

    that I discuss in the context of the late Brahms piano pieces in Chapters Two,

    Three, and Four.

    Chapter Two analyzes the syntactic elements of Brahmss cadential

    progressions. As the common-practice cadence functions as a constant point of

    reference in Brahmss music, even when not present in its unmodified Classical

    sense, I base my analyses upon William Caplins research on the Classical

    cadence in order to illuminate the ways in which Brahms adheres to and deviates

    from common-practice cadential idioms.9 Topics of discussion in this chapter

    include staggered closure, in which the melodic, formal, and harmonic processes

    at work do not resolve at the same point in time; the blurring of the distinction

    between the melody and the bass line; the interpolation of material between the

    penultimate and final elements of a cadential progression; and the elimination of

    the cadence altogether.

    Chapter Three examines the semantic gestures which affect the listeners

    perception of closure, taking Agawus work on semiotic analysis as a starting

    point.10 As in the previous section, I analyze these gestures as being essentially

    4

    8 Kofi Agawu, Concepts of Closure and Chopins Opus 28, Music Theory Spectrum 9 (1987): 4. 9 William E. Caplin, The Classical Cadence: Conceptions and Misconceptions, Journal of the American Musicological Society 57, no. 1 (2004): 51-118. 10Kofi Agawu, Music as Discourse: Semiotic Adventures in Romantic Music. (New York: Oxford University Press, 2009).

  • Classical in conception, rising from the rhetorical emphasis which typically

    accompanies a Classical cadence. I discuss the plagal emphasis present in the

    codas of many of Brahmss late piano pieces, as well as its importance in post-

    cadential idioms. Other techniques analyzed in this chapter include the pedal

    point, a harmonically static foil to the forward-driven motion of the Classical

    cadence; thematic liquidation; and the rhetorical functions of a coda. I conclude

    the chapter with a discussion of the role of statistical parameters such as

    dynamics, texture and register in the creation of a distinct approach to closure in

    each piece.11

    After the separate analyses of both the syntactic and semiotic elements of

    closure, the ties between the two are discussed in Chapter Four through detailed

    analyses of five Klavierstcke. This chapter explores the idea of closure as a

    process, focusing on the various roles that semantic forms of closure can play in

    relation to cadences, as well as the ways in which Brahms uses the interactions

    between the two to manipulate the listeners expectations throughout the piece. In

    the pieces discussed in this chapter, closure is not created through the presence of

    a discrete event or technique, but exists along a continuum influenced by a range

    of variables unique to each situation. Conflicts thus arise between the degrees of

    closure associated with different musical parameters. I explore how the semantic

    functions as a reinforcement of, substitution for, and contradiction to the

    syntactic, analyzing the impact of each of these three roles on the overall structure

    5

    11 The concepts of syntactical and statistical parameters is explored in detail in Leonard B. Meyers book Style and Music: Theory, History, and Ideology (Philadelphia: University of Pennsylvania Press, 1989).

  • and character of the piece. These analyses demonstrate that Brahmss marked use

    of semantic gestures in the absence of true syntactic closure can reinforce large-

    scale tonal planning even in the most ambiguous of his works.

    6

  • Chapter One: Cadence and Closure in the Theoretical Literature

    Defining Closure

    Numerous theorists have addressed the problematic concept of closure in

    tonal music, attempting to define its components, describe its impact on musical

    form and structure, and discuss its limitations as a theoretical tool.12 In his article

    Concepts of Closure and Chopins Op. 28, Kofi Agawu states that closure is a

    function of formal principles and/or generic signs . . . the sum total of all the

    tendencies to close that occur in the composition, whether or not they are actually

    fulfilled.13 Closure, according to Agawu, is a dynamic process, dependent upon a

    synthesis of many dimensions of musical activity in both the syntactic and

    semantic domains. Mark Anson-Cartwright clearly delineates between cadential

    closure and formal closure, defining closure in three ways, each referring to a

    different structural level of music.14 His first and most foreground definition states

    that local closure is achieved at the point of structural tonal resolution.15 A broader

    view of the pieces tonal and perceptual processes informs Anson-Cartwrights

    second definition, which asserts that closure is the condition of rest or finality

    which occurs near the end of a piece. His final, broadest, definition embraces all

    7

    12 For the purposes of this study, I define tonal music as referring to the common-practice period, beginning with Bach and ending with Brahms. The author acknowledges the inherently problematic nature of this statement, but feels that such a distinction must be made in order to clearly delineate the boundaries of the work at hand.

    13 Agawu, Concepts of Closure, 4. 14 Mark Anson-Cartwright,Concepts of Closure in Tonal Music: A Critical Study, Theory and Practice 32 (2007): 10. 15 Ibid., 2.

  • of the processes in the piece as inevitably leading towards some form of closure.16

    Agawu agrees with this point of view, stating that closure comes about as a result

    of the content and the musical processes, whereas the point of ending, an isolated

    entity, is the product of the formal container.17 As such, one cannot consider the

    ending of a formal structure alone to be an effective means of bringing a piece to

    a close; instead, other parameters such as harmony, voice-leading, texture, and

    register must all combine to create a distinct and comprehensible sense of closure.

    In his later work, Agawu expands upon this idea, describing the concept of tonal

    closure as a sort of playing with signs, a process by which the interaction of

    separate musical elements creates a different, higher level of musical discourse.18

    According to Robert Hopkins, closure varies in strength depending on the

    structural level at which it occurs, as well as on the number and type of musical

    parameters which come together to create a recessive dynamic.19

    While it is generally accepted that there are specific musical paradigms

    and compositional tools that create a sense of closure, theorists also emphasize

    that closure is perceptual, dependent upon the listeners ability to understand the

    stylistic techniques being employed.20 Leonard Meyers cognitive studies played a

    foundational role in establishing this mode of thought. He wrote that

    completeness and closure in music are only possible because the motions

    8

    16 Ibid., 3. 17 Agawu, Concepts of Closure, 4. 18 Kofi Agawu, Playing With Signs: A Semiotic Interpretation of Classic Music (Princeton: Princeton University Press, 1991), 78. 19 Robert G. Hopkins, Closure and Mahlers Music: The Role of Secondary Parameters (Philadelphia: University of Pennsylvania Press, 1990), 13. 20 Ibid., 2.

  • presented in music are processes between antecedents and consequents.

    Completion is only possible where there is shape and pattern.21 In short, Meyer

    believes that because the articulations of music in some way reflect the perceptual

    patterns of life, humans can understand and interpret musical structures as being

    unified and closed entities, writing that our sense of closure is in part a product

    of the general configuration of relaxation and quiescence.22

    As suggested earlier in this section, closure, whether one is considering the

    compositional tool which creates its potential or the cognitive processes which

    realize it, is dependent upon a sense of temporality. Jonathan Kramer suggests that

    tonal music defines its temporality in at least two ways: by order of succession

    and by the conventionalized meanings of gesture.23 Agawu agrees with this

    concept, cautioning against the conflation of the distinct entities of closure and

    ending, stating that each event is part of a larger, dynamic, total structure,24 and

    that closure cannot be understood with respect to a single moment. The moment

    itself is the result of numerous preparatory processes.25 Agawu also expounds

    upon Kramers conventionalized meanings of gestures through his beginning-

    middle-end paradigm, which suggests that musical characteristics give a passage a

    temporal identity independent from its place in the real-time sequence of musical

    9

    21 Leonard B. Meyer, Emotion and Meaning in Music (Chicago: The University of Chicago Press, 1956), 129. 22 Ibid., 139. 23 Jonathan Kramer, Beginnings and Endings in Western Art Music, Canadian University Music Review 3 (1982): 11. 24 Agawu, Concepts of Closure, 1. 25 Agawu, Music as Discourse, 57.

  • events.26 Hopkins presents another aspect of the relationship between closure and

    temporality by exploring the contrast between motion and rest in music. He wrote,

    Only a sense of motion can lead to closure, since closure is the arrival at a state

    of relative rest, not merely the condition of rest.27

    Further complicating our discussion of closure is the issue of formal and

    tonal ambiguity and its effects on the global structure of a piece. Robert Jordan

    and Emma Kalafenos suggest that Brahms succeeds in writing pieces which

    remain ambiguous throughout, stating that, The intensity of his manipulation of

    ambiguous relationships in this piece [Op. 119/1] results in a structure that cannot

    be reduced to a single tonal trajectory.28 They read this Intermezzo as prominently

    featuring unresolved tonal ambiguity, and as such, assert that while the piece

    comes to a temporal end, it does not possess tonal closure. Edward T. Cone

    discusses the prospect of musical ambiguity more cautiously, writing that

    ambiguity must be bounded - not all instances admit of resolution, but the most

    successful are delineated by a context of relative directness and clarity.29 Agawu

    expresses an even more restrictive perspective on the possibility of musical

    ambiguity, stating that once context is taken into account, ambiguity dissolves

    into clarity.30 He then suggests that musical ambiguity requires a fork in the

    10

    26 Agawu, Playing With Signs, 138. 27 Hopkins, Closure and Mahlers Music, 5. 28 Roland Jordan and Emma Kafalenos, The Double Trajectory: Ambiguity in Brahms and in Henry James, 19th-Century Music 13, no. 2 (1989): 142. 29 Edward T. Cone, Attacking a Brahms Puzzle, The Musical Times 136, no. 1824 (1995): 72. 30 Kofi Agawu, Ambiguity in Tonal Music: A Preliminary Study, in Theory, Analysis, and Meaning in Tonal Music, ed. Anthony Pople (Cambridge: Cambridge University Press, 1994), 86.

  • road scenario, where the two possible paths are equally plausible musically.31

    Such situations are quite rare in Classical music due to its clear syntactical rules.32

    In the nineteenth century, however, the ongoing breakdown of tonality

    created situations which, if not ambiguous in the narrow sense defined by Agawu,

    nonetheless called into question the presence of closure at one or more structural

    levels of a composition. Agawu suggests that the nineteenth century style

    foregrounds this issue, writing that the rhetoric of nineteenth-century music, in

    particular, shows that the strategy by which a composer takes leave of his

    audience is of fundamental importance to the works total effect.33 William

    Caplin promotes a similar point, suggesting that formal irregularities in the

    nineteenth century resulted in a wider variety of compositional and closural

    techniques. In Classical Form, he suggests that although music from earlier and

    later periods also exhibits formal functionality in a variety of ways, form in these

    periods is considerably less conventional, thus frustrating the establishment of

    general principles.34 Agawu supports this point, describing a breakdown of the

    beginning-middle-end paradigm of the Classical period. He writes, Romanticism

    dissolves the props of a semiotic interpretation without ever renouncing their

    function . . . [and] remains inextricably linked to the fundaments of Classicism.

    By merely rearranging the weights attached to the various components of

    11

    31 Ibid., 89. 32 I define the Classical style, as Caplin does, as consisting of the works of Haydn, Mozart, and early Beethoven. Middle and late period Beethoven, on the other hand, begin to possess many of the manipulations detailed in this thesis as characteristic of Brahmss late style.

    33 Agawu, Concepts of Closure, 2. 34 William Caplin, Classical Form: A Theory of Formal Functions for the Music of Haydn, Mozart, and Beethoven (New York: Oxford University Press, 1998), 3.

  • Classicism, Romanticism retains its inevitable dialectic with what is only apparent

    uniformity.35 While beginning, middle and end units retain the musical

    characteristics which define them as such, the syntactical relationships between

    the three categories are blurred or abandoned altogether. This problematizes the

    identification of points of closure in nineteenth-century music, often forcing the

    analyst to choose between analytical interpretations which privilege the actual

    temporal order of the piece and those which lean more heavily upon non-temporal

    signs of closure.

    Lawrence Kramer, on the other hand, reads the differences in closure

    between eighteenth-century and nineteenth-century music as a function of the

    different types of expectation created by each style. He suggests that while

    Classical music locates its inevitability in the heightening and satisfying of the

    specific expectations that it creates, Romantic music achieves inevitability when

    its presentational patterns provide a release from the ambiguity, the continuous

    tension, of non-specific expectancy.36 As such, Kramer explicitly links the

    creation and resolution of musical ambiguity to the achievement of a satisfactory

    close in nineteenth-century music, as opposed to in the eighteenth century, when

    the creation and resolution of harmonic and formal ambiguities was not a

    principal compositional strategy.

    The barriers to a theory of closure are significant, as such a pursuit is

    restricted by considerable stylistic constraints. Many theorists thus discuss the

    12

    35 Agawu, Playing With Signs, 143. 36 Lawrence Kramer, The Mirror of Tonality: Transitional Features of Nineteenth-Century Harmony, 19th-Century Music 4, no. 3 (1981): 196.

  • concept cautiously, highlighting its limitations. Jonathan Dunsby attacks the very

    idea of unity and closure in tonal music, writing that, The concept of whole

    pieces is a crude premise about musical structure - the archetypical Common

    Practice piece is inherently sectional.37 Agawu agrees that the concept of closure

    is problematic when discussing nineteenth-century music, suggesting that theory

    of incomplete closure might be a more appropriate analytical tool.38 He describes

    several situations in Chopins Prludes Op. 28 as embodying this concept, stating

    that the legitimacy of global closure is attacked in great style, leaving in its wake

    a functionally unstable piece in which closure is almost redundant.39 If

    nineteenth-century composers such as Chopin were indeed systematically

    dismantling the concept of closure in such a way, then what is its purpose in

    discourse about music? Nicholas Cook suggests that while the concept of closure

    might not function as a strategy for listening, it can still play an important role in

    musical understanding. He writes, theories that explain the organization of

    Classical and Romantic compositions in terms of large-scale tonal structure may

    not correspond in any direct manner to the perception of such music, but they may

    still be of value in revealing something of the manner in which composers of the

    tonal period conceived their music.40 By extension, one can hypothesize that

    such a study of the compositional techniques used by the late Romantic

    13

    37 Jonathan Dunsby, The Multi-Piece in Brahms: Fantasien Op. 116, in Brahms: Biographical, Documentary, and Analytical Studies, ed. Robert Pascall (Cambridge: Cambridge University Press, 1983), 1. 38 Agawu, Playing With Signs, 68. 39 Agawu, Concepts of Closure, 15. 40 Nicholas Cook, The Perception of Large-Scale Tonal Closure, Music Perception 5, no. 2 (1987): 204.

  • composers to both create and evade tonal closure will provide valuable insights

    about the gradual disintegration of tonal practice.

    Cadential Modes of Closure

    Caplins discussion of the Classical cadence as the fundamental

    articulation of tonal closure serves as a starting point for the following discussion

    of cadence and closure in late Brahms. Caplin explicitly supports such an

    extension of his work, noting that, If the concept of closure can be grounded in

    the Classical style, it might be possible to extend or refine the notion to later

    styles with greater confidence.41 Any variations from Caplins cadential rules

    will thus be treated as conscious deviations from Classical practice and as grounds

    for an expanded definition of cadential closure in Brahmss music. While Caplins

    work provides an encyclopedic range of criteria for the identification of cadences,

    three fundamental principles most directly relate to the present study. The first of

    these states that an authentic cadence must consist of a root-position dominant

    followed by a root-position tonic, with no intermediate harmonies or bass-line

    motions between the two.42 A second important point concerns the construction of

    half cadences. Caplin writes, To acquire the requisite stability for an ending

    harmony, the half-cadential progression must take the form of a root position

    triad. Adding a dissonant seventh - appropriate to the penultimate position in an

    authentic cadential progression - would overly destabilize the ultimate dominant

    14

    41 Caplin, The Classical Cadence, 52. 42 Ibid., 54.

  • of a half-cadential progression.43 The final major point states that the cadential

    form-functional unit is conceptually distinct from prolongational and sequential

    materials, and that one thus cannot consider the end of a prolongation or a

    sequence to be a cadence.44 Because of the loosening of harmonic and formal

    syntax, Brahmss piano music appears to challenge these conventions. The

    specific techniques by which this is realized will be discussed in Chapter Two.

    While the status of the cadence as the principal closural device of tonal

    phrases is indisputable, the level of structure at which it operates is debatable.

    Caplin argues that the cadence is a middleground phenomenon, citing Schenkers

    claim that the Ursatz and the cadence are fundamentally different structures.45

    Caplin accepts Schenkers claim at face value, stating that there are good reasons

    to believe that the forces defining formal functionality on some levels of structure

    are essentially different from those defining it at higher levels.46 Caplin thus

    rejects a major idea about cadence and levels of structure; namely, Schoenbergs

    hypothesis that an entire piece can serve as an extended cadence.47

    Dunsby, on the other hand, expands upon Schoenbergs view of cadence

    and closure, writing, Schoenbergs approach to the subject is . . . that closure,

    and the cadential formulae of closure in tonal practice, is satisfying to the extent

    that it fulfills a stylistic expectation.48 This idea marks a return to the idea of

    15

    43 Caplin, Classical Form, 29. 44 Caplin, The Classical Cadence, 71. 45 Ibid., 64. 46 Ibid., 65. 47 Ibid., 60. 48 Jonathan Dunsby, Schoenberg on Cadence, Journal of the Arnold Schoenberg Institute 4, no. 1 (1980), 43.

  • closure as a perceptual phenomenon: because the listener expects a cadence to

    occur in certain formal situations, the cadence thus acts as a concrete close

    regardless of the inherent inability of such an event to even exist in purely musical

    terms. Dunsby acknowledges this paradox, stating that to Schoenberg, Closure

    by cadence resembles a necessity without being one.49 Some other theorists, in

    contrast, completely avoid the problematic nature of cadences and their effects on

    musical structure, relying more directly on the real-time surface events of the

    piece for determining relative strength of closure. Jonathan Kramer, for example,

    asserts that the final cadence of the piece is of course the strongest, since it must

    bring to a close the entire work. Thus closure, like tonality itself, is

    hierarchical.50 Caplin would disagree with this point of view for several reasons,

    the first of which is that there are typically not varying degrees of syntactical

    strength within a single type (perfect authentic, imperfect authentic, half) of

    cadence.51 Additionally, Caplin suggests that cadences do not achieve closure at

    the level of the whole piece, but that another mechanism altogether is responsible

    for this phenomenon.52

    Several modifications to nineteenth-century cadential procedures have

    been discussed in the theoretical literature. Agawu describes Ideal Closure, the

    standard Classical cadence, as not being foregrounded by the Romantic

    16

    49 Ibid., 43. 50 Kramer, Beginnings and Endings, 2.

    51 With regard to the imperfect authentic cadence, it is possible that different voice-leadings can create stronger or weaker cadences: a descending melody from scale degree four to scale degree three, for example, creates an IAC which is arguably stronger than an ascending melody from scale degree two to scale degree three. Such a claim, however, is unsupported in the current theoretical literature and thus requires further research.

    52 Caplin, The Classical Cadence, 54.

  • composers, who actively sought out alternative, marked methods of attaining

    closure.53 He also suggests that expectations continue to play a vital role in

    cadential manipulations, stating that the effect of a promised cadence is in some

    ways comparable to that of an actual cadence.54 Peter H. Smith suggests that the

    nineteenth-century cadence as a closural device requires a flexible interaction

    among parameters which sustains the value of the traditional procedures.55

    Through manipulation of the harmonic, melodic, and rhythmic content normally

    associated with the Classical cadence, composers could thus refresh the tonal

    norms without abandoning them completely. Smith also discusses at length

    Milton Babbitts concept of dimensional counterpoint, which he describes as the

    layering of structural parameters [so that] the individual strands of musical fabric

    function quasi-independently to yield multiple interpretive possibilities.56

    Through the use of this technique, Romantic composers could separate the

    different musical processes which combine to form a cadence, spreading them

    across the musical surface in order to create a blurred cadential effect. Walter

    Frischs claim that Brahms made use of a new conception of musical space

    reflects this idea of dimensional counterpoint, as he suggests that Brahmss

    cadences reflect a breakdown of the division between melody and harmony.57

    17

    53 Agawu, Concepts of Closure, 7. 54 Ibid., 7. 55 Peter H. Smith, Expressive Forms in Brahmss Instrumental Music (Bloomington: Indiana University Press, 2005), 7. 56 Ibid., 7. 57 Frisch, Brahms: From Classical to Modern, 386.

  • A final factor which must be considered in a discussion of the nineteenth-

    century cadence, most particularly in the music of Brahms, is the increasing role

    of historicism in intellectual and musical thought. David Lewin elaborates on this

    point, stating that Brahmss citations of historical models manifest historical

    modes of musical thought, and as such contribute to an ongoing process of

    dialectic synthesis that lies at the center of his compositional discourse.58

    Likewise, Carl Dahlhaus suggests that Brahmss reliance on multiple historical

    models directly affects the structural features of his pieces. He asserts, Even in

    his lyrical piano pieces, Brahms pursued the idea of blending motivic

    counterpoint and developing variation, the legacy respectively of both Bachs

    fugal style and Beethovens sonata style, to produce a hybrid cognitive pattern

    divorced from existing generic trends.59

    Does the complex web of modifications and allusions to which the

    nineteenth-century composers subject the cadence compromise its eighteenth-

    century status as a purely syntactical structure? Hopkins argues that this is indeed

    the case, writing that the clear-cut differentiation between syntactic form and

    semantic content does not exist in [nineteeth-century] music.60 He also suggests

    that secondary parameters such as dynamics, timbre, and register play an equally

    strong role in confirming or denying closure. While it might be an overstatement

    to suggest, as Hopkins claims, that there is no difference between syntactical and

    18

    58 David Lewin, Brahms, His Past, and Modes of Music Theory, in Brahms Studies: Analytical and Historical Perspectives, ed. George Bozarth (Oxford: Oxford University Press, 1990), 13. 59 Dahlhaus, Nineteenth-Century Music, 258-59. 60 Hopkins, Closure and Mahlers Music, 20.

  • semantic closure, it is clear that the relationship between the two is blurred, a

    phenomenon which will be further discussed in the following section.

    Rhetorical Modes of Closure61

    In spite of the ambiguous relationship between syntactic and semantic

    closure in the nineteenth century, it is nonetheless clear that the latter played an

    increasingly important role in the articulation of form, and that any analytical

    model developed must account for this shift. Caplin makes this point, stating that

    in the nineteenth century, mid-level closure was attained by a wider variety of

    non-cadential means, compared to eighteenth-century music.62 Agawu agrees,

    suggesting that there is more to tonal life than cadences.63 He thus urges

    analysts to take into account all of the rhetorical, gestural, and phenomenal signs

    of closure in a composition, considering them as processes within a whole.64 The

    following section will describe research on several specific rhetorical techniques

    utilized by late nineteenth-century composers in order to effect closure.

    While the beginning-middle-end paradigm played a central part in creating

    syntactical relationships in the eighteenth century, its breakdown in Romantic

    music created strongly marked rhetorical statements. Agawu describes the fall of

    the paradigm as one of the principal stylistic developments of nineteenth-century

    music, suggesting that its simultaneous reliance on and rejection of eighteenth-

    19

    61 By rhetorical modes of closure, I mean any element of music which can serve an affective as opposed to structural/syntactical functions. For example, while the IV chord in a cadential progression serves the syntactical role of a predominant, a post-cadential IV prolongation serves a rhetorical role in that it establishes a sense of closure due to its inherent plagal quality.

    62 Caplin, The Classical Cadence, 52. 63 Agawu, Music as Discourse, 32. 64 Ibid., 59.

  • century syntactical laws renders Romantic music inescapably paradoxical and

    profoundly parasitic.65 Instead of a strict reliance on syntactical order, Agawu

    views the music as embodying a broad sense of periodicity, in which a musical

    unit possesses the general characteristics of a beginning, a middle, or an end,

    without necessarily fulfilling that function in the actual temporal ordering of the

    piece.66 L. Poundie Burstein details a specific theoretical occurrence of this

    phenomenon in his discussion of the Schenkerian auxiliary cadence, in which a

    phrase or formal unit begins with a harmony other than the tonic. He states that

    the omission of the opening root-position tonic gives rise to a feeling of

    expectancy by shifting the weight of tonality to the end.67 By compromising or

    altogether eliminating the beginning function in such a way, the composer places

    increasing importance on the articulation of closure as a means of resolving the

    beginning ambiguity. Joseph Dubiel describes this technique as playing a

    particularly important role in Brahmss music, stating that to postpone the first

    clear presentation of a compositions tonic is a typical Brahmsian gambit. Troping

    on the delay of closure, this maneuver delays an aspect of initiation, reaching its

    point of reference only by conclusion.68 Burstein describes such instances of

    harmonic play as creating profound hermeneutic implications, suggesting that

    20

    65 Agawu, Playing With Signs, 143. 66 Agawu, Music as Discourse, 76. 67 L. Poundie Burstein, Unraveling Schenkers Concept of the Auxiliary Cadence, Music Theory Spectrum 27, no. 2 (2005): 161. 68 Joseph Dubiel, Three Contradictory Criteria in a Work by Brahms, in Brahms Studies, ed. David Brodbeck (Lincoln: University of Nebraska Press, 1994), 81.

  • through manipulations of basic elements of the tonal system, auxiliary cadences

    give rise to a sense of surprise, unrest, momentum, and ambiguity.69

    Robert Snarrenbergs application of the Derridean concept of diffrance to

    Brahmss music offers another perspective on manipulation of the beginning-

    middle-end paradigm. He suggests that motivic patterns can become associated

    with the three temporal categories and that composers can then create dialectics

    between sameness and difference over the course of the temporal space of a piece.

    He writes, Diffrance both dislocates and repatterns motives in such a way that

    motives differenced previously in temporal location and prolongational pattern are

    re-formed to reveal that sameness can replace difference.70 Such play with the

    distinction between temporal and formal units calls into question the very validity

    of Agawus paradigm, suggesting that temporal sectionality can be sacrificed for

    the sake of a higher dialectical unity.

    The articulation and prolongation of the subdominant tonal area, separate

    from any sort of cadential progression, is fundamental to the creation of closure in

    nineteenth-century music. Agawu strongly emphasizes the importance of this

    harmonic gesture, writing, The subdominant serves a primary responsibility for

    the articulation of closure when harmony is foregrounded.71 Deborah Stein

    suggests that a thorough understanding of the subdominants role is essential to

    knowledge of Romantic tonal idioms as a whole. She writes, In the later

    21

    69 Burstein, Unraveling Schenkers Concept, 183. 70 Robert Snarrenberg, The Play of Diffrence, In Theory Only 10, no. 3 (1987): 18. 71 Agawu, Concepts of Closure, 2.

  • nineteenth century, the subdominant came to acquire new functions and to assume

    more autonomous structural roles, and concurrently with this change in status of

    the subdominant came a reassessment of the dominant and even the tonic

    functions.72 She further suggests that plagal harmony can in some cases

    substitute for both tonic and dominant functions, thus creating intriguing new

    options for tonal closure. This clearly contrasts with Classical harmonic practice,

    which, according to Caplin, uses plagal emphasis solely within tonic-

    prolongational contexts.73 Caplin does, however, admit to the increased

    possibilities for the subdominant in nineteenth-century music, writing, It is

    perhaps possible to speak of the plagal cadence in the nineteenth century, as a

    deviation where rhetoric is present despite the absence of a genuine cadential

    progression.74 Margaret Notley applies nineteenth-century dualist modes of

    thought to the topic of harmonic function, stating that the inherent inequality

    between authentic [dominant] and plagal [subdominant] harmonies profoundly

    affects Romantic harmonic practice.75 She further suggests that the importance of

    subdominant harmonies at large-scale formal boundaries becomes a marked

    element in nineteenth-century music.76

    Much like the manipulation of the beginning-middle-end paradigm, the

    increasing importance of the subdominant affects interpretation of meaning in

    22

    72 Deborah Stein, The Expansion of the Subdominant in the Late Nineteenth Century, Journal of Music Theory 27, no. 2 (1983): 153. 73 Caplin, The Classical Cadence, 71. 74 Ibid., 82. 75 Margaret Notley, Plagal Harmony as Other: Asymmetrical Dualism and Instrumental Music by Brahms, Journal of Musicology 22, no. 1 (2005): 92. 76 Ibid., 119.

  • Romantic works. Robert Hatten describes both deceptive (penultimate) and plagal

    (postultimate) motion as ways of marking the presence or absence of a harmonic

    or a formal boundary, stating that both are marked events which affect

    interpretation of the expressive genre of a piece.77 Notley offers a specific

    interpretation of the meaning of plagal gestures, stating that they express qualities

    of otherworldliness, distance, timelessness, and alienation, in clear opposition

    to the goal-directed tension and release of the dominant.78

    Pedal points play a vital part in the prolongation of tonal areas, providing a

    means of prolonging a harmony or key area without necessarily creating cadential

    closure. Such pedals, in spite of their clear presentation of a harmony, can be

    difficult to interpret, as the static implied harmony of the pedal note often

    conflicts with the dynamic harmonic, melodic, or formal processes which occur

    above it. Cone suggests that instead of confirming a tonality, pedals actually call

    into question the functional role of the bass.79 Ratner, on the other hand, suggests

    that pedal points should be interpreted solely based upon the harmonic function

    represented by the scale degree being prolonged. He thus interprets tonic pedals

    as implying beginning or ending functions and dominant pedals as expressing

    functional middles.80 The number and variety of pedal points in Romantic music,

    23

    77 Robert S. Hatten, Interpreting Deception in Music, In Theory Only 12, no. 5-6 (1992):40. 78 Notley, Plagal Harmony as Other, 95. 79 Cone, Attacking a Brahms Puzzle, 75. 80 Leonard Ratner, Classic Music: Expression, Form, and Style (New York: Schirmer, 1985), 124.

  • however, calls for a more nuanced theoretical methodology for the analysis of

    pedal points and their effects on formal and harmonic closure.

    The return of previously stated material as a closural device is discussed

    extensively in the theoretical literature. This method of closure relies heavily upon

    the listeners expectation of unity, such that a unified piece will both depart from

    and arrive at the same point of rest. According to Agawu, the idea that the end of

    the piece should reflect its beginning is central to a discussion of closure.81 While

    in tonal music this concept is most typically applied to harmonic closure, stating

    that a piece typically ends in the same key in which it began, it can also be applied

    to such characteristics as register, melodic units, or formal groups. Agawu further

    suggests that repetition of more than one musical parameter creates stronger

    closure. He writes, An important rhetorical device for closure is repetitions in

    various dimensions and at various structural levels.82 Hopkins suggests that such

    devices play only a supplementary role in effecting closure, stating that closure

    can be enhanced, but not created, through the principle of return.83 Meyer,

    however, suggests that such repetition, by precluding the introduction of new

    materials, participates in the recessive process which marks the end of a piece. He

    writes, On the whole, the slowing down which brings a piece of music to a close

    is not a slowing down of the physical tempo, but a slowing down of the rate of the

    musical process.84

    24

    81 Agawu, Concepts of Closure, 3. 82 Agawu, Playing With Signs, 67. 83 Hopkins, Closure and Mahlers Music, 15. 84 Meyer, Emotion and Meaning in Music, 140.

  • The primary formal area in which composers utilize the techniques of

    subdominant emphasis, pedal point, and repetitions in order to create rhetorical

    closure is in the coda. According to Schoenberg, the coda does not play a

    harmonic role, as it could scarcely compensate for failure to establish the tonality

    in earlier sections.85 He instead suggests that the coda, as a structurally

    unnecessary unit of music, is merely extra content without formal support. He

    writes, perhaps somewhat facetiously, In fact, it would be difficult to give any

    other reason for the addition of a coda other than that the composer wants to say

    something more.86 Caplin describes the coda as embodying a post-structural

    after the end formal functionality, suggesting that such units include a variety

    of compensatory functions, for here the composer can make up for events or

    procedures which were not fully treated in the main body of the composition.87

    Agawu focuses on the codas perceptual effect on the listener instead of on its

    compositional construction. Dwelling on the prevalence of repetition in post-

    cadential devices, Agawu approaches the coda as representing the act of

    reminiscence, an invitation to relive the past in compressed form.88 Perhaps the

    most whimsical hermeneutic interpretation of the coda, though, is French

    musicologist Mark Delaeres suggestion that the coda of a work is the musical

    25

    85 Arnold Schoenberg, Fundamentals of Musical Composition (London: Farber and Farber, 1967), 185. 86 Ibid., 185. 87 Caplin, Classical Form, 179. 88 Agawu, Music as Discourse, 59.

  • equivalent of the phrase and they lived happily ever after at the end of a fairy

    tale.89

    All of these sources thus interpret the coda as only occurring after the final

    cadence of the piece, once the fundamental tonal conflict has been unambiguously

    resolved. In Romantic music, however, the presence of strong harmonic closure at

    the end of a piece is not guaranteed, and coda-like material is often fused with that

    which precedes it. As such, nineteenth-century analysis requires a new

    understanding of coda, one which understands it not merely as retroactive

    confirmation of a previously achieved syntactical closure, but as a powerful

    rhetorical device capable of effecting closure independently of any cadential

    requirements. This new understanding of coda will be more fully developed in the

    analytical portion of the thesis.

    Caplin strongly emphasizes the importance of preserving an impenetrable

    barrier between syntactic and semantic modes of closure, implying that only the

    former can effectively close a tonal piece. While this sort of analytical rigor lends

    itself to analyses of Classical forms, it fails to adequately describe the delicate

    balance of syntactic and semantic relationships utilized by Brahms and other

    Romantic composers. Dunsby acknowledges this point, writing that when

    analyzing nineteenth-century music, such unconventional criteria as repetition,

    symmetry, and registral relationships can be crucial in the construction of an

    26

    89 Mark Delaere, Et ils vecurent encore longuement et heureusement: La fonction de la coda dans quelques oeuvres instrumentales de Brahms, Ostinato Rigore 13 (1999): 75.

  • appropriate analytical description.90 Perhaps the most interesting option on the

    subject of the relationship between the two types of closure, though, is that of

    Hopkins. He writes, Secondary parameters such as dynamics and duration

    became more and more important in shaping musical processes and articulating

    musical form . . . it is likely that the use of such parameters was not only an effect

    of the attenuation of tonality, but also a cause.91 If one agrees with this idea that

    the encroachment of rhetorical closure into the realm of tonal closure led to the

    downfall of the tonal system, then it becomes particularly crucial to substantiate

    this claim in the repertoire of Brahms, the last of the Common Practice

    composers.

    27

    90 Jonathan Dunsby, Structural Ambiguity in Brahms: Analytical Approaches to Four Works (Ann Arbor: University of Michigan Press, 1981), 108. 91 Hopkins, Closure and Mahlers Music, 1.

  • Chapter Two: The Cadence in Late Brahms

    A discussion of cadence in late Brahms must begin by emphasizing his

    reference to the normative common-practice cadential models. Indeed, many of

    the Klavierstcke end with such cadences. These pieces, although they may

    feature many of the same harmonic and formal ambiguities discussed in the

    context of closure in this thesis, articulate these conflicts in ways which do not

    directly involve their endings.

    One example of completely unproblematic cadential closure occurs at the

    conclusion of the Intermezzo Op. 117/3, shown in Example 2-1.

    C-sharp minor: V^ IV^ VI Vs_ (VI II^ ) VX Is f

    CX : [II&&& ]V [V& ]V II&x3 Vs %x3 I

    Example 2-1Intermezzo Op. 117/3, mm. 98-108

    This extended cadential progression features a steady harmonic rhythm of one

    chord per measure, articulating a clear cadential progression. The melody, an

    28

  • augmented version of the A section theme, exhibits melodic closure through a

    descent from scale degree three to scale degree one. The expressive features, most

    notably the piu lento tempo and the diminuendo dynamic markings, contribute to

    the recessive quality of the phrase. As such, all of the musical processes at work

    in the A1 section come to a close at the same time, and this piece thus represents

    an example of Agawus concept of ideal closure. The clear harmonic and melodic

    closure reflects a general sense of formal symmetry and harmonic simplicity

    which is present throughout the A section. Through backgrounding the syntactical

    parameters in this manner, Brahms can highlight other musical parameters; in this

    case, the Intermezzo serves as an exploration of texture, register, and

    counterpoint.

    While in the Intermezzo Op. 117/3 the unproblematic mode of closure

    reflects a normalization of syntactical processes over the course of the entire

    piece, this type of consistency is not always the case in late Brahms. The cadence

    which concludes the Intermezzo Op. 118/2 features a standard harmonic

    progression and a final (inner-voice) melodic descent. (Ex. 2-2)

    A: I VI IV II Vs (IV^ ) V^ _% I

    Example 2-2:Intermezzo Op. 118/2, mm. 110-116

    29

  • This cadential regularity, however, belies the unusual harmonic and rhythmic

    events which occurred earlier in the piece. The subdominant harmony, which

    threatened to overtake the tonic at numerous points in the piece, is not given

    special emphasis in the cadential progression, but instead appears as the middle

    element of a descending thirds predominant sequence. The cadence not only

    restores the proper harmonic weight to the subdominant, but also serves to

    regularize the unusual harmonic rhythm of the piece. While the majority of the

    phrase continues the established pattern of changing harmony on the third beat of

    each measure, the arrival of the dominant on the downbeat of measure 114

    corrects this pattern, allowing for a resolution to the tonic on the downbeat of

    measure 116. This piece thus exhibits a progression from marked harmonic and

    rhythmic events to normative syntactical behavior, in contrast to the consistently

    unmarked tendencies of the previous example.

    When the final cadence of the piece is the only authentic cadence in the

    home key, the structure of the piece as a whole changes, as the burden of

    definitively confirming the tonality is pushed back to the conclusion. Such a

    situation occurs in the Romanze Op. 118/5, which is comprised of an A section in

    F major followed by a B section in D major and then a compressed reprise of the

    A section. The A section consists of a double period, a statement and three varied

    repetitions of a four-bar phrase. Half cadences in F major articulate the boundaries

    at bars four and twelve, and half cadences in D major fulfill the same function at

    bars eight and sixteen. After a contrasting middle over a D-major pedal point, the

    30

  • A1 section ends with a standard perfect authentic cadence, the only authentic

    cadence in the entire piece. (Ex. 2-3)

    F: I E V*__& I V VI I% _^ IV % _^ I^ II CTo& V&

    I# @ # *6 &5 I [V& ] IV I

    Example 2-3:Romanze, Op. 118/5, mm. 51-57

    At this moment, only eighteen measures of the Romanze, though, have been in the

    key of F major. While the listener certainly expects for cadential closure to occur

    in some capacity, particularly when the regular formal and cadential profile of the

    piece is taken into account, one must question whether this completely normative

    and unmarked cadence in F major can counteract the perceptual effect created by

    thirty-one bars of D major pedal in the B section of the piece. Does this cadence

    represent the resolution of an underlying harmonic problem and thereby create a

    satisfying structural ending for the piece, or does it bypass the true conflict of the

    piece, the problematic relationship between the relatively distantly-related keys of

    F major and D major? The discussion of this piece, taking into account the

    31

  • rhetorical features which bring this piece to a satisfying close in spite of its

    unusual tonal plan, will continue in Chapter Three.

    Melody, Cover Tones, and Cadence

    An extremely common feature in these late works is the absence of an

    upper-voice descent to scale degree one, thus creating an imperfect authentic

    cadence at the end of a piece, when one would normally expect a perfect authentic

    cadence. This occurs in the Intermezzo, Op. 116/5 (Ex. 2-4), whose cadence raises

    several analytical questions.

    E: Z II& V$3 Vs &5 I94 *3

    Example 2-4:Intermezzo, Op. 116/5, mm. 35-39

    The first problematic characteristic of the cadence is the upper voice descent from

    C (scale degree six) to B (scale degree five), which then acts as a cover tone to the

    inner voice descent to scale degree one. Also unusual is the harmonic rhythm of

    the phrase, which features second-inversion dominant on the weak second beat of

    measure thirty-six. This move to a second-dominant calls into question the

    validity of the cadential progression, as the cadential dominant thus appears in the

    incorrect inversion. This dominant inversion, however, immediately moves to a

    cadential 6/4 in measure thirty-seven which resolves to the dominant on the

    32

  • downbeat of measure thirty-eight. The root of the tonic follows suit in the bass

    register on the second beat of measure thirty-eight; the upper voices, on the other

    hand, resolve to tonic harmony on the downbeat of measure thirty-nine, thus

    creating a disjunction between melodic and harmonic resolution. Yet despite

    Brahmss structural manipulations of the cadential unit, it still possesses, in

    modified yet immediately recognizable form, all of the features of a Classical

    cadence. Whether or not these structures combine to create a perceptually sound

    sense of closure, however, is another question altogether.

    Issues of melodic closure similarly arise in an analysis of the Capriccio

    Op. 76/1. (Ex. 2-5)

    F#: V& I

    Example 2-5:Capriccio Op. 76/1, mm. 62-65

    In this piece, as in the previous example, the upper voice remains on scale degree

    five even as the bass moves from the cadential dominant to the tonic, as the

    melodic descent to an inner-voice F-sharp retreats into an inner-voice, signaling

    that the upper-voice C-sharp is a cover tone. The rhetorical strength of the

    forceful octave C-sharps, combined with the sudden shift in register and texture,

    minimizes the structural impact of the structural close. Although the piece has

    achieved authentic cadential closure, there is no doubt in the listeners mind that

    33

  • the piece must continue from this point. Over the course of the extensive coda,

    which will be more fully discussed in the following chapter, Brahms explores

    register and texture through an expansion of the tonic, yet never arrives on scale

    degree one on a downbeat in the upper voice. The piece thus concludes with a

    strongly emphasized Picardy third in the upper voice, with scale degree one still

    relegated to the alto voice.

    In a related cadential scenario, the melody features a descent, but it does

    so at a different temporal point in the piece than the harmonic resolution, creating

    instances of dimensional counterpoint. In the Rhapsodie Op. 79/1 (Ex. 2-6), the

    cadential dominant resolves to the lowest B octave on the piano, while the upper

    voice rests. In the coda which follows, Brahms introduces elements of modal

    mixture and then brings the melody to an ambiguous close in a higher register

    than expected in measure 227, continuing to circle scale degree one until the piece

    fades away. Although the harmonic element of cadential closure clearly takes

    place in the form of root motion in the bass and the melodic element rests on scale

    degree one at the end of the piece, the lack of a clear melodic descent nonetheless

    renders the exact point of melodic closure ambiguous.

    B minor: I^ [V^ ]IV Z II [VII^ ]V V

    (example continues on next page)

    34

  • B: I (no melodic closure)

    B: Tonic Pedal

    B: Tonic Pedal with Tonicization of IV

    B: Tonic Pedal with Tonicization of IV

    B: Tonic Pedal with Tonicization of IV and Melodic Liquidation

    Example 2-6:Rhapsodie Op. 79/1, mm. 213-233

    35

  • Cadential Interpolations

    In a cadential interpolation, material is inserted between the cadential

    dominant and its resolution. Similar to the usage of staggered closure discussed in

    the previous section, this technique serves to call into question the structural

    integrity of the cadence. The examples which follow, however, differ from those

    presented before in that the melodic and harmonic elements required to create an

    authentic cadence do occur at the same point in the piece. The disjunction in these

    examples is not between melody and harmony, but between the dominant and the

    tonic harmonic elements.

    An interpolation can be as small as a single note, if the note interrupts the

    direct root motion in the bass which is required for an authentic cadence to take

    place. In the final phrase of the Intermezzo Op. 76/7 (Ex. 2-7), the presence of the

    third of tonic, C, between scale degree five and scale degree one in the bass

    prevents direct cadential motion from occurring.

    A minor: I VII^ III II^ Vs f V s f I

    Example 2-7:Intermezzo Op. 76/7, mm. 39-46

    While the presence of such a minor detail may seem inconsequential, it serves to

    undermine one of the fundamental principles of Classical cadential closure. The C

    36

  • serves to add a contrapuntal element which calls into question the functional role

    of the E which precedes it, as the final three bass notes of the piece now form an

    arpeggiation of the tonic triad. This descending thirds arpeggiation blurs the

    perceptual divide between the dominant and the tonic. The harmonic ambiguity of

    such descending melodic thirds is a recurring theme in Brahmss music, and a

    more extensive discussion of this technique appears in my analysis of the

    Intermezzo Op. 119/1 in Chapter Four.92

    Contrapuntal Cadences

    Contrapuntal motion at cadences, whether viewed as a historical reference

    to species counterpoint or simply as a means of refuting the Common-Practice

    cadence, is perceptually similar to the cadential interpolation in that both

    problematize the articulation of an effective cadential bass line. The Capriccio Op.

    116/3 reaches a dominant on the downbeat of measure ninety-seven; instead of

    resolving immediately to the tonic, however, the music rests for two beats before

    launching into an extended cadential progression which is divorced registrally and

    texturally from that which precedes it. (Ex. 2-8, next page)

    In the first half of this phrase, a melodic motive consisting of a descending

    third followed by two descending seconds is harmonized by predominant

    harmony, and the dominant returns on the downbeat of measure 100. Instead of

    moving to a tonic to end the piece, though, the bass presents a tonally-adjusted

    restatement of the motive presented in the upper voice two measures earlier. (Ex.

    37

    92 Please see page 73 for the analysis of 119/1.

  • 2-9) The upper-voice melody does not feature a stepwise descent, as is typical for

    the end of a piece, but instead presents a stepwise ascent with octave transfers.

    G minor: VX Is IVC V

    G minor: IV [VII& ]V V [VII;]V VII^ I

    Example 2-8:Capriccio Op. 116/3, mm. 93-103

    Example 2-9:Capriccio, Op. 116/3, mm. 98 - 102Outer-voice Contrapuntal Reduction

    If bar 101 were removed and the A from the predominant chord were held over to

    become part of the dominant, as shown in Example 2-10, then both the bass line

    and the upper-voice melody would be normalized.

    38

  • Example 2-10Capriccio Op. 116/3, mm. 98 - 102

    Recomposition of Cadence

    Bar 101 thus serves as a purely motivic and contrapuntal elaboration with no

    impact on the structural elements of the cadence, in spite of its unusual surface

    characteristics.

    Another example of the use of contrapuntal procedures at the final cadence

    appears in the Intermezzo Op 116/2. (Ex. 2-11)

    A minor: [VII& ] V VI^ _% V interp. I V interp. I

    Example 2-11:Intermezzo Op. 116/2, mm. 81-86

    After the arrival of the dominant on the downbeat of eighty-three, the cadential

    progression is seemingly abandoned with a move upwards to VI on the third beat

    of the measure. The next downbeat, however, marks an immediate return to

    dominant harmony, which resolve to tonic on the second beat of measure eighty-

    four. What makes this excerpt noteworthy is not the harmony, but the marked

    39

  • arrangement of the voices. The descending stepwise melody which serves as the

    upper voice in measure eighty-three moves to the bass in measure eighty-four.

    The direct root motion which one would expect in a cadential bass, on the other

    hand, appears in the upper voice. Brahms thus creates a situation in which the two

    voices required for a cadence to occur become interchangeable, reminiscent of

    contrapuntal styles of writing in which the functional role of the bass is

    minimized by the equality of the voices.

    Cadential Resolution to V7/IV

    Another cadential device which recalls an earlier compositional style, in

    this case the instrumental Baroque style of J.S. Bach, is the resolution of the

    cadential dominant to a V7/IV chord instead of to the tonic. This technique, used

    frequently by Bach in the Well-Tempered Clavier, shifts the harmonic weight

    away from the tonic and to the subdominant, by transforming what should be the

    goal harmony of the cadential progression into yet another penultimate chord.

    An example of this technique occurs in the Intermezzo Op. 76/3. (Ex.

    2-12, following page) After the cadential dominant arrives in bar twenty-six, a

    shift from duple meter to triple meter ushers in what appears to be a coda, as

    evidenced by a slower tempo, recessive dynamics, and subdominant harmony in

    measure twenty-eight. All of the post-cadential features, however, bely the fact

    that cadential resolution has not been concretely achieved, due to the resolution of

    the dominant to a secondary dominant of IV instead of to the unmodified tonic

    triad. In fact, an unambiguous tonic chord does not appear until four bars later at

    40

  • measure thirty, after a subdominant prolongation leads to yet another dominant,

    which then resolves as expected to the tonic triad.

    A-flat: V*6 &5 ^4 &3 [V& ]IV

    A-flat: IV V*6 &5 I^ _%

    Example 2-12:Intermezzo Op. 76/3, mm. 25-30

    In the Intermezzo Op. 118/4, a highly-emphasized cadential dominant

    resolves to the secondary dominant of the subdominant twice, creating a situation

    in which the deceptive resolution of the dominant delays closure of the piece for

    twenty-five measures in spite of the clearly-achieved root motion in the bass at

    measures 111 and 119. (Ex. 2-13, following page) The resolution to V7/IV in this

    piece is particularly effective due to its minor tonality, which thus mandates not

    only an added seventh but also a chord quality shift in order for this technique to

    be utilized.

    41

  • f: V^4 V^4 %3 (IV^ ) V*6 &5 ^ % [V& ]IV CTo&

    f: [V& ]IV IV Ger+6 V^4 %3 V^4 %3 Vs %3 s f

    f: [V& ]IV IV Ger+6 Vs (aban.)

    f: I^ I IV IVX %__^ IC

    Example 2-13:Intermezzo Op. 118/4, mm. 108-133

    When compared to a commonly cited example of this progression in Bach,

    the end of the C major prelude in Book One of The Well-Tempered Clavier, the

    two endings are harmonically similar, featuring subdominant emphasis after a

    cadential dominant before a resolution to tonic. Indeed, one could argue that

    42

  • Brahmss gesture is even more conclusive than Bachs, due to the fact that in the

    Bach prelude, the upper-voice melody concludes on scale degree three at the point

    where the cadential dominant resolves to V7/IV. The final bars of the Prelude thus

    play an integral role in the creation of melodic closure as they effect the final

    descent to scale degree one. In the Intermezzo, on the other hand, the melodic

    descent has been achieved, albeit with considerable registral play, as evidenced by

    the frequent presence of the pitch F in the upper voice and the repetitions of the

    descent throughout bars 111-128.

    Why did Brahms choose to utilize this method of closure for the

    Intermezzo? Such an ending, with multiple failed cadential attempts, represents an

    inability of the frantic perpetual motion of the piece as a whole to come to a rest.

    In addition, it reflects the pieces modeling of imitative contrapuntal writing, and

    thus represents Brahmss imitation of Bach as a historical model of musical

    structure and syntax.

    Elimination of Cadential Closure

    The most drastic manipulation of cadential procedure in Brahms is the

    loosening of the cadential progression and arrival to the point that one can suggest

    that Brahms eliminates a final cadence altogether. Such a situation occurs in the

    Capriccio Op 76/2, due to the presence of three problematic cadential arrivals.

    The final thematic unit, shown in Example 2-14 on the following page, begins

    with an exact reprise of a phrase which first appears in measures thirty-eight

    through forty-four.

    43

  • B: IV V [VII^ ]V V^4 %3 V^4 %3 I IV

    B: V$ # I II^ [Vk] IV V& (B ped) I

    B: I V& Ger+6 embellishment of tonic

    B: Ger+6 embellishment of tonic [V& ] IVX IVC IX

    Example 2-14:Capriccio Op. 76/2, mm. 99-119

    While the first iteration of this unit ends with a perfect authentic cadence, its

    statement at the end of the piece bypasses a cadential resolution at three different

    points. At measure 103 harmonic and rhythmic motion continues uninterrupted,

    leaving no possibility of interpreting the dominant-tonic progression at this point

    44

  • as being cadential. A similar moment which occurs in measure 105 is perceptually

    even less cadential due to the absence of an upper voice; at this point, it is clear

    that the process of melodic fragmentation must continue despite the harmonic

    attempts to close the phrase. Perhaps the most convincing point of cadence occurs

    in measures 106-108, where a clear cadential progression begins in the bass. Two

    features of the music, however, prevent this moment from serving as a point of

    syntactical closure. The first is that the tonic pedal begins a bar too early, over the

    cadential dominant. In addition, the tonic in bar 108 is separated from the

    dominant which precedes it both thematically and registrally, causing it to sound

    like a new beginning instead of a goal. In spite of the lack of unambiguous

    cadential closure, though, the music in this section displays post-cadential

    semiotic gestures throughout. A brief predominant prolongation in measures

    105-106, followed by an expansive tonic pedal point, confirms the listeners sense

    that the piece is drawing to a close, in spite of the absence of a cadence.

    What features of this piece allow Brahms to evade cadential closure, yet

    still unambiguously convey the sense that this Capriccio comes to a satisfying

    structural close? Except for its atypical ending, the piece displays a high degree of

    harmonic and formal regularity, exhibiting symmetrical phrase divisions, a strong

    sense of a harmonic center, and frequent tonal confirmation through the presence

    of internal cadences. Indeed, until the conclusion of the piece, all of its structural

    elements are completely normative. This regularity, combined with the strength of

    the rhetorical devices associated with the final theme, suggest that this piece

    45

  • offers an example of a situation in which unambiguous and stable tonal closure

    can be achieved despite considerable weakening of the cadence at the end of a

    piece. The following chapter will discuss these rhetorical means of closure and

    their relationship to cadence and syntactical closure in more detail.

    46

  • Chapter Three: Rhetorical Closure

    Rhetorical devices of closure, unlike the cadential methods discussed in

    the previous chapter, are non-syntactical, by which I mean that they are not

    governed by functionally harmonic issues. Instead, these devices draw on the

    meanings ascribed to them outside of any particular musical context, not on the

    meanings created by their relationships with other musical elements. It is difficult

    to separate the two types of closure, as evidenced by the frequent mention of the

    rhetorical techniques of closure in the discussion of cadence. This chapter will

    nonetheless attempt to isolate examples of each device in order to demonstrate

    their projection of semantic meaning in both the presence and in the absence of

    syntactical closure.

    Semantic and Structural Functions of the Coda

    The coda in Brahmss late piano works often provides the formal space for

    the exploration of semantic devices of closure after a structural conclusion has

    been achieved through a cadence. In such a coda, which follows the rules of

    Classical form and harmony, the coda does not create closure, but acts to confirm

    it, adding a rhetorical dimension which distinguishes the final cadence of the

    piece from the structurally identical internal cadences throughout the piece.

    While in Classical form the coda functions purely as an after the end

    confirmation which can only occur after all of the syntactical processes have

    closed, this is not always the case in the late piano works. In the Brahmsian

    concluding unit, dimensional counterpoint frequently creates situations where one

    47

  • musical process remains open in spite of the closure achieved by the other

    parameters. Such structural ambiguities create a contradiction between the various

    functions that a unit involved in such a situation can perform. In relation to the

    parameter which has closed, it is post-cadential. At the same time, though, it

    serves to bring about the closure of the open element. In such cases, semantic

    gestures of closure play a particularly important role in determining the listeners

    perception of the units function as bring either pre- or post-cadential, as their

    presence or absence can privilege one of these two possible form-functional

    readings in spite of the structural ambiguity which is present.

    The Rhapsodie Op. 119/4 features a classically ideal coda in which both

    the harmony and the melody come to a complete and unambiguous close before

    the start of the coda in measure 237. (Ex. 3-1) The extensive and virtuosic coda

    which follows features almost all of the semantic gestures which are discussed in

    this chapter, including subdominant emphasis, pedal points, and melodic

    fragmentations. As such, this piece will serve as an example of these and other

    parameters and the role within a normative coda paradigm in the discussion which

    follows.

    E-flat minor: IV Z II Z VII VIIl I^ II& Vs f

    (Example continues on the following page)

    48

  • E-flat: Tonic Pedal

    Vs %z3 Z VI pedal [V]V

    Vs (IV [V]V) V& I - Tonic Pedal

    Tonic Pedal continued I IV

    Tonic Pedal [VIIl] V I VI III IV I

    Example 3-1:Rhapsodie Op. 119/4, mm. 230-262

    49

  • In the Capriccio Op. 116/7, the presence of rhetorical elements minimizes

    the impact of the cadential dominants deceptive resolution, creating a strong

    sense of closure despite the lack of a true dominant-tonic resolution in all voices.

    (Ex. 3-2) The cadential dominant in measures seventy-four and seventy-five,

    instead of resolving to a tonic chord, moves to a second inversion VII/V chord.

    D minor: IV^ VC IV V^ _% V ^ _ %

    D: [VIIo]V V [VIIo]V V [V] IV [VIIo]V [VIIo]IIITonic Pedal

    D: Tonic Pedal over Stepwise Seq. VC IV IX

    Example 3-2:Capriccio Op. 116/7, mm. 71-92

    While the resolution of the dominant to the D pedal which ensues in the bass

    gives the sense that harmonic closure has been achieved, the high level of

    50

  • chromaticism and lack of melodic closure over the tonic pedal suggest otherwise.

    The music after the problematic moment of closure consists largely of oscillations

    between tonicized dominants and subdominants, with equal emphasis on each,

    before coming to a close on a Picardy third tonic chord. Harmony is not, however,

    the principal musical factor at work in this coda; instead, Brahms uses a dense

    texture, fast harmonic rhythm, and extreme registral contrasts to create a formal

    unit which minimizes the harmonic and thematic content of the unit in a process

    of liquidation. The arrival of melodic closure is rendered irrelevant as a multitude

    of parameters (including register, dominant-tonic root motion, and dynamics)

    convinces the listener that, in spite of the resolution of the cadential dominant to

    its own secondary diminished seventh chord, not by any means a sanctioned

    cadential progression in the Classical idiom, closure has nonetheless been

    achieved without question.

    This example thus suggests that the definition of the coda must be

    revisited in order to accurately apply it to Brahmss late music. Due to the

    increasingly complex counterpoint of musical parameters at work in these pieces,

    it is often the case that one or more processes continues its path to resolution in

    the coda, even as the other musical elements articulate the rhetorical devices

    which clearly express an after the end function. This trend reflects a greater

    integration of the coda into the formal design of the piece as a whole, as it comes

    not only to fulfill a rhetorical function, but also to serve as a continuation of the

    process of structural closure. Indeed, in the previous example, it is plausible to

    51

  • think of the material after the cadential dominant as not being a coda at all, but as

    a cadential i


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