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