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  • 8/18/2019 Rhythmic and Harmonic Ambiguity in Brahms

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    Society for Music Theory

    You Reap What You Sow: Some Instances of Rhythmic and Harmonic Ambiguity in BrahmsAuthor(s): Peter H. SmithSource: Music Theory Spectrum, Vol. 28, No. 1 (Spring, 2006), pp. 57-97Published by: University of California Press on behalf of the Society for Music TheoryStable URL: http://www.jstor.org/stable/4499848

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  • 8/18/2019 Rhythmic and Harmonic Ambiguity in Brahms

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    Tou

    Reap

    What

    You

    Sow.

    Some Instances

    of Rhythmic

    and Harmonic

    Ambiguity

    in

    Brahms*

    PETER H. SMITH

    Of all

    composers

    of the

    common-practice

    era,

    perhaps

    none has been associated with musical am-

    biguity

    more than Brahms. Several recent

    essays

    nevertheless

    question

    the

    usefulness

    of

    ambiguity

    as an

    analytical

    concept.

    This article

    defends

    the

    efficacy

    of

    ambiguity through analysis

    of

    metri-

    cally

    and

    harmonically

    bivalent

    passages

    from

    the

    composer's

    C-minor Piano

    Quartet,

    Double

    Concerto,

    Clarinet

    Trio,

    G-major

    String

    Quintet,

    and B-minor

    Rhapsody.

    The

    analyses

    proceed

    from

    contradictory readings

    of

    opening

    materials to later statements that

    develop precisely

    those

    characteristics

    that

    give

    rise

    to the

    initial double

    meaning.

    In

    each

    case,

    the result is an enormous

    tonal

    delay

    whose resolution

    corresponds

    with

    liquidation

    of

    the

    contradictory

    characteristics,

    as

    the movements

    finally

    achieve the

    clarity

    absent from their

    ambiguous openings.

    Keywords:

    Brahms,

    Ambiguity,

    Metric

    displacement, Linkage technique,

    Sonata form

    INTRODUCTION

    ERHAPS NO

    COMPOSER

    of

    the

    common-practice

    era

    is

    associated with the idea of musical ambiguitymore

    than

    Johannes

    Brahms.1

    Even

    a

    cursoryglance

    at

    any

    contemporary

    Brahms

    bibliography

    reveals citations that

    make

    reference to the

    topic.

    Several recent

    explorations

    of

    ambiguity

    nevertheless call

    into

    question

    the usefulness of

    the

    concept

    as an

    analytical

    category.

    Carl

    Schachter,

    for

    example, argues

    that

    "[i]t

    is

    just

    as much

    a

    part

    of the

    com-

    poser's

    art as

    it

    is

    of

    the

    sculptor's

    or

    painter's

    to be able

    to

    create clear and distinct shapes; the more clearly and vividly

    the listener

    perceives

    these

    shapes,

    the more

    fully

    and

    deeply

    will he live the

    life

    of the

    composition

    as he hears

    it."

    Kofi

    Agawu goes

    even further and

    explicitly

    denies the

    possibility

    for musical

    ambiguity.

    Like

    Schachter,

    Agawu

    believes that

    "[i]n

    situations of

    competing

    meanings,

    the alternatives

    are

    always

    formed

    hierarchically, making

    all such situations

    decidable."2

    Despite

    their

    skepticism,

    Schachter and

    Agawu

    neverthe-

    less

    qualify

    their

    arguments against ambiguity.

    Schachter

    is careful to

    explain

    that

    it is

    not his

    intention "to

    deny

    the

    possibility

    that

    ambiguity

    and

    multiple meanings might

    exist

    in tonal music."

    His

    point,

    rather,

    s that the function of am-

    biguity

    "is more

    narrowly

    circumscribed han some

    analysts,

    *This

    essay

    is

    dedicated to the

    memory

    of

    John

    Daverio,

    David

    Epstein,

    and David Lewin.

    In

    this

    regard,

    David

    Epstein's

    view

    is

    representative:"Perhaps

    no com-

    poser

    of the

    period

    so reveled in

    the structural

    possibilities

    of

    ambiguity

    as did

    Brahms."

    (Epstein

    1979, 162)

    Charles Rosen

    is

    even

    more forth-

    right:

    "More

    than

    any

    other

    composer,

    Brahms

    exploited

    the

    possibili-

    ties of

    overlapping

    sections,

    the

    ambiguities

    of

    the

    boundaries of

    sonata

    form."

    (Rosen 1988, 395)

    Notions of

    ambiguity

    even

    appear

    to

    have

    in-

    fluenced

    biographical perspectives

    on the

    composer,

    leading

    Karl

    Geiringer among

    others

    to

    identify psychological

    ambivalence as

    a dri-

    ving

    force behind Brahms's

    personality

    and

    behavior.

    (Geiringer

    1990)

    2Schachter

    1990, 169;

    Agawu

    1994,

    107.

    57

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    58

    MUSIC THEORY SPECTRUM 28

    (2006)

    perhaps

    misled

    by

    false

    analogies

    to

    language,

    seem to be-

    lieve."3

    Agawu similarly

    uses

    concepts

    of

    hierarchy

    and

    con-

    text

    in

    assessing

    interpretive

    options

    as means of acknowl-

    edging

    the existence of double

    meanings

    while nevertheless

    making

    such

    apparently

    bivalent situations submit

    to

    the dictates of a

    single analysis.

    For

    him,

    the

    only

    true

    ambiguity

    would

    arise in a context

    in

    which "two

    (or more)

    meanings

    are

    comparably

    or

    equally

    plausible,"

    a situation he

    believes

    does not exist

    in

    tonal music.4

    Although

    I

    am

    sympathetic

    to

    Schachter's and

    Agawu's

    admonitions

    for

    us to avoid what

    might

    be called

    an

    "Old

    MacDonald

    Approach

    to

    Analysis"-here

    an

    ambiguity,

    there

    an

    ambiguity,everywhere

    an

    ambiguity--I

    am not

    yet

    ready

    to abandon the idea of double

    meaning

    as a critical

    category

    for Brahmsian

    interpretation.

    Rather,

    I am con-

    vinced that Brahms

    was

    as dedicated to

    creating

    multivalent

    ideas as he was to

    crafting

    the clear and distinct

    shapes

    of

    Schachter's unnamed

    sculptor

    or

    painter.

    Moreover,

    I

    con-

    tend that

    it

    is essential to

    perceive

    more than

    just

    the

    clarity

    of distinct

    shapes.

    We also need

    to

    perceive

    bivalence and its

    consequences

    if we

    are to

    appreciate

    more

    fully

    and

    deeply

    the life of

    Brahms's

    compositions.

    But how are we to engage ambiguity in an analytically

    meaningful way?

    David

    Epstein

    suggests

    the answer lies

    in

    part

    in a focus on

    multiple temporalperspectives.

    Indeed,

    he

    argues

    that Brahms

    characteristically

    confirms the multiva-

    lence

    of his

    ambiguous

    ideas

    by exploring competing

    struc-

    tural

    potentials

    as his

    compositions

    unfold.

    Epstein

    even as-

    serts

    that,

    for

    Brahms,

    exploration

    of

    "various

    viewpoints"

    often becomes the

    impetus

    behind a

    passage

    or even an en-

    tire

    composition.5

    With his focus on

    listening perspective,

    Epstein anticipates a core component of the analytical

    methodology

    that David Lewin

    was to formalize

    in

    his in-

    fluential article

    "Music

    Theory,

    Phenomenology,

    and Modes

    of

    Perception."6 lthough

    Lewin

    does

    not

    address

    ambiguity

    per

    se,

    the

    approach

    to

    analysis

    that

    he

    advocates,

    with its

    dedication to

    carving

    out

    analytical space

    for

    multiple

    mean-

    ings,

    is

    highly suggestive

    for the

    topic.

    My

    own contribution o

    ongoing explorations

    f

    Brahmsian

    ambiguity

    takes

    Epstein's

    and Lewin's

    emphasis

    on

    listening

    perspective

    as a

    point

    of

    departure. Despite

    my

    differences

    with

    Schachter,

    also find

    it

    useful to focus on

    the

    kinds

    of

    binary,

    "either/or"

    oppositions

    that he

    develops

    as

    a route

    towards

    analytical

    nsight.

    Yet rather than

    analyze composi-

    tions

    in

    which Schachter's call for

    single,

    correct

    readings

    rings

    true, I

    propose

    to

    explore passages

    in which Brahms

    takes considerable

    pains

    to

    encouragemultiple nterpretations.

    The

    particular

    orm of

    binary opposition

    that will be

    my

    focus arises

    in both the metric

    and

    harmonic

    dimensions.

    Indeed

    my argument

    in

    favor

    of

    ambiguity

    as an irreducible

    component

    of Brahms'saesthetic centers on the similar

    ways

    in

    which metric and harmonic double

    meanings

    emerge,

    de-

    velop,

    and

    ultimately

    resolve.

    In

    both musical

    dimensions,

    ambiguity may

    arise within

    an

    initial context

    in

    which

    there

    is not enough information to signal a univalent metric or

    harmonic

    interpretation.

    The initial context instead

    plants

    the seeds

    for the bivalence that is to become a source

    for

    musical

    development.

    In

    the case of

    rhythmic ambiguity,

    he

    passages

    I

    will

    explore

    involve motivic cells

    whose

    strong-

    weak or

    weak-strong

    metric

    identity

    is

    open

    to

    question.

    Repeating

    such a cell

    in

    shifted

    positions

    and

    in varied musi-

    cal

    contexts

    heightens

    the overall sense of

    ambiguity

    such

    that

    the

    ambiguity

    itself

    becomes a

    narrativethread

    in a

    Brahms work. Similarly,in the harmonic dimension, when

    roots are a fifth

    apart

    context can

    make

    it

    unclear

    which root

    is

    controlling:

    I-V

    or

    IV-I.

    A Brahms

    piece

    may, through

    repetition

    and

    recontextualization,

    make

    this

    harmonic am-

    biguity

    a

    topic

    for elaboration.

    In

    the

    case of both

    types

    of

    3

    Schachter

    1990,

    169.

    For a similar

    qualified skepticism

    regarding

    no-

    tions of

    ambiguity

    specifically

    as

    they

    apply

    to issues of metric and

    hypermetric

    interpretation,

    see

    Schachter

    1999,

    97-100.

    4

    Agawu

    1994,

    89.

    5

    Epstein

    1979,

    162-69.

    6 Lewin

    1986.

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    YOU

    REAP WHAT YOU

    SOW:

    SOME

    INSTANCES OF

    RHYTHMIC

    AND HARMONIC

    AMBIGUITY

    IN BRAHMS

    59

    ambiguity,

    a decisive recontextualization

    typically

    resolves

    the

    double

    meaning

    as

    part

    of

    the

    work's

    close.

    Brahms'sC-minor Piano

    Quartet,

    op.

    60,

    provides

    fertile

    ground

    in which to

    begin

    to

    explore

    metric

    dualities

    and

    their

    consequences.

    Following

    this

    analysis,

    I

    address

    similar

    metric

    ambiguities

    as

    they

    interact

    specifically

    with Brahms's

    linkage technique

    in

    the Double

    Concerto,

    op.

    102,

    and

    Clarinet

    Trio,

    op.

    114. A

    comparison

    of the function

    of

    am-

    biguity

    in these works establishes

    characteristic

    strategies

    of

    double

    meaning, strategies

    we

    see in effect even as we shift

    our focus to harmonic

    ambiguity

    in the

    Adagio

    of the G-

    major String

    Quintet,

    op.

    111,

    and the B-minor

    Rhapsody,

    op.

    79,

    no.

    1.7

    Each

    analysis

    proceeds

    from

    conflicting interpretations

    of

    an

    opening

    theme to later

    developments

    of this

    material,

    always

    with attention

    to the remarkabledetails of musical

    craftsmanship

    that

    Brahms's

    compositions

    offer in abun-

    dance.

    We

    will see that the works'

    thematic

    processes

    gravi-

    tate

    towards

    precisely

    those

    competing

    characteristics

    hat

    give

    rise to the initial sense

    of double

    meaning.

    In

    the

    case of

    both metric and harmonic

    ambiguity,

    the notion of retro-

    spective

    clarification of

    puzzling

    events

    will thus inform

    my

    analyses. But in expanding on Edward Cone's notions of

    "promissory

    notes" and

    "unfinished

    business,"

    my

    approach

    highlights

    the fact that

    it is often the

    very presence

    of an

    elemental double

    meaning

    that later

    contexts

    support.8

    The

    result,

    regardless

    of whether we

    are confronted with

    metric

    or

    harmonic

    ambiguity,

    is an enormous

    tonal

    delay

    whose

    resolution

    corresponds

    with

    liquidation

    of the

    contradictory

    characteristics,

    so that

    the movements

    finally

    achieve

    the

    clarity

    absent

    from

    their

    bivalent

    openings.

    The fact

    that

    double

    meanings play

    a

    central

    role

    in these

    larger

    tonal

    processes supports

    the

    idea

    that

    we are

    dealing

    with

    genuine

    cases of

    ambiguity

    rather

    than

    passages

    in

    which

    a

    single

    interpretation

    dominates.

    Before

    forging

    ahead

    with

    analysis,

    we

    need to return

    for

    a moment to

    issues

    surrounding

    the

    relationship

    between

    listening perspective

    and double

    meaning.

    As

    previously

    mentioned-and

    in contrast to

    the view that

    I

    will

    develop

    -Agawu

    argues

    that the

    possibility

    for

    ambiguity evapo-

    rates once

    an

    analysis

    sorts

    out the different

    temporal

    con-

    texts

    in which

    competing

    interpretations

    arise. Take the

    conflicting

    metric

    interpretations

    of the

    opening

    motive of

    the C-minor

    piano

    quartet suggested

    in

    Example

    1. As

    Lewin

    asserts,

    it is

    illogical

    to claim

    that we hear

    this

    figure

    as both

    strong-weak

    and

    weak-strong

    at

    the

    same time. His

    solution-one that both

    Agawu

    and I

    adopt-is

    to draw

    at-

    tention to different

    temporal

    contexts

    in which we

    might

    hear the motive

    in one

    way

    or the other.

    But does this

    poten-

    tial

    for diverse

    interpretations

    amount

    to a robust

    ambiguity?

    Agawu argues

    that a

    single interpretation

    will dominate in

    any

    of

    these

    different

    contexts;

    thus no

    ambiguity

    arises.

    In

    the absenceof the 50-50 balance he requires or ambiguity, t

    is

    simply

    a matter

    of

    a

    rhythmic

    motive that we hear one

    way

    in one context and

    another

    way

    in another context.

    I

    nevertheless

    contend that

    the

    special

    characterof

    many

    Brahms

    passages

    is

    only

    partially captured

    by

    this more in-

    clusive,

    temporally-sensitive

    version

    of either/or

    hearing.

    Although

    it

    may

    be

    impossible

    to hear

    conflicting

    rhythmic

    interpretations

    simultaneously,

    some

    motives nevertheless

    have less

    clearly-defined

    metric

    identities than

    others.

    I will

    demonstrate that Brahmsmay indeed hold us in an ongoing

    state of ambivalence

    as

    he

    develops

    such

    materials.

    The sum

    total of the

    process

    of

    hearing

    a

    motive that

    keeps

    switching

    meanings

    may

    indeed

    produce

    ambiguity.

    For

    it is

    my

    con-

    tention

    that,

    as

    we

    listen,

    we

    assess

    musical ideas

    not

    merely

    as isolated

    components

    within

    discrete

    temporal

    contexts.

    We also

    respond

    to these

    ideas as

    entities that live a

    life of

    7

    My

    interest

    in the concerto and

    quintet

    has been stimulated

    by

    the

    work

    of

    John

    Daverio,

    a scholar whose

    writings, along

    with

    Epstein's

    and

    Lewin's,

    were

    very

    much on

    my

    mind as

    I

    developed

    the

    ideas

    for

    this

    essay.

    Daverio's

    published

    work

    on

    the

    Adagio

    from

    the

    Quintet

    appears

    in

    Daverio

    1993,

    144-54. He

    provides

    a critical reevaluation of

    the

    concerto

    in Daverio 2002.

    8

    Cone 1986 and

    1989.

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    60

    MUSIC

    THEORY SPECTRUM

    28

    (2006)

    continuity

    across the

    unfolding

    of a work. In other

    words,

    while it

    may

    be

    analytically productive

    to

    adopt

    a

    Lewin-

    esque emphasis

    on

    cognition

    and

    temporality,

    we need not

    reject

    outright competing

    notions

    of

    Platonic

    atemporality

    and

    idealism. Once we are

    engaged

    in

    analysis,

    both

    perspec-

    tives

    may

    lead to

    insight-provided

    that we are

    willing

    to

    approach

    our work

    pragmatically,

    without

    aspirations

    for

    an

    allusive

    methodological

    purity.

    To

    illustrate

    the

    point,

    consider the

    repetitions

    of the

    quarter-note

    motive

    in

    Example

    1. When we

    speak

    of the

    motive in

    measures3 or

    4--or

    mm.

    13, 14, 32,

    or

    33-we are

    not

    speaking

    exclusively

    of

    fragments

    that

    we

    perceive

    only

    in

    different

    temporal

    contexts. In

    as much as

    the

    motives are

    related

    by

    an

    identity

    relationship-and

    this after all is what

    allows us to

    speak

    of

    them as

    repetitions-we

    are

    hearing

    the

    evolution

    of a

    musical idea. We

    mentally

    retain this idea

    independent

    of

    its isolated

    iterations,

    during

    the

    process

    though

    which

    we assess the idea from various

    viewpoints.

    As

    we

    experience

    the motive

    from

    these

    viewpoints,

    we will see

    that

    it is

    possible

    to become less and less sure of the idea's

    metrical

    identity.

    This

    is the case even

    despite

    (or

    perhaps

    because

    of)

    any

    momentary

    clarity

    that

    may

    arise at

    isolated

    moments in the listening process,that is, despite the contex-

    tual

    clarity

    that

    Agawu

    believes disavows the

    possibility

    for

    ambiguity.

    It

    is also crucial to observe

    that,

    even within one or an-

    other

    of

    Agawu's

    or

    Lewin's

    contexts,

    there

    may

    be

    varying

    possibilities

    for

    attribution

    of double

    meaning.

    An

    analogy

    with the

    famous

    rabbit/duck

    sketches clarifies what is

    in-

    volved here.

    Despite

    their

    potential

    duality,

    Lewin

    points

    out

    that no one

    looking

    at these sketches claims to see a

    rabbit

    and a duck simultaneously.9Lewin highlights this fact to

    bolster

    his

    argument

    about the

    importance

    of

    temporal per-

    spective

    for

    analysis

    of musical multivalence. Another

    point

    worth

    highlighting

    is that not all sketchesof rabbitshave the

    potential

    to be

    seen

    as ducks

    and visa versa.The same is also

    true for

    musical ideas.

    Some

    are

    absolutely

    clear in

    either

    metrical

    identity

    or

    tonal

    function. Others

    may

    have

    varying

    capacities

    to

    be heard in

    multiple ways.

    Thus

    although

    it

    might

    be

    difficult

    to

    argue

    for a 50-50 balance

    between com-

    peting interpretations,

    it is

    nevertheless

    analytically

    mean-

    ingful

    to

    distinguish

    between cases that come close versus

    situations

    in

    which there is near or absolute

    clarity.

    With

    respect

    to

    rhythmic

    issues,

    we

    might

    consider the

    piano quartet's

    basic idea

    in

    light

    of a continuum

    extending

    from materials

    that are

    metrically unequivocal

    to those

    that

    are

    a-metric,

    that

    is,

    situations in which there is

    absolute

    clarity

    one

    way

    or the other.

    The

    quartet's

    motive stands

    between these extremes and thus has

    greater potential

    for

    double

    meaning

    than an idea at the continuum's

    endpoints

    of

    univalence.

    Moreover,

    Brahms creates and

    develops

    this

    double

    meaning

    with masterful

    acuity

    and

    range.

    Although

    we

    might

    be hard

    pressed

    to locate an extended

    a-metric

    passage

    in

    Brahms,

    it is

    obviously

    not difficult to

    find

    examples

    of clear and distinct metrical

    shapes.

    Take,

    for

    instance,

    the

    passage

    from the

    Eb-major

    Rhapsody,

    op.

    119,

    no.

    4,

    shown

    in

    Example

    2(a).

    What is

    noteworthy

    here

    is

    that,

    although

    the

    rhapsody's rhythmic

    motive of m. 65 is

    similarto the piano quartet'sbasic idea, Brahmsplaces it in a

    context in which one cannot

    help

    but

    perceive

    the

    notated

    meter.

    By

    contrast,

    the other

    excerpts

    in

    Example

    2

    possess

    a

    degree

    of metric

    ambiguity comparable

    to

    that

    found in the

    quartet.Although

    a detailed

    analysis

    of these works

    falls

    be-

    yond

    the

    scope

    of this

    article,

    I will nevertheless return to

    them later in order to

    compare

    some

    consequences

    of their

    rhythmic

    double

    meanings

    with the

    impact

    of metric ambi-

    guity

    in

    the

    quartet.'0

    At the

    least,

    my analyses suggest

    a

    stylistic basis for the kinds of relationshipsI will pursue in

    the

    quartet

    and as such

    provide

    intertextual

    support

    for

    my

    argument

    that

    this

    specific type

    of

    metric bivalence

    serves

    as

    a

    driving

    force

    in Brahms's ormal

    processes.

    9

    Lewin

    1986,

    370-71.

    o0

    Readers nterested

    n

    more detailed discussion of

    the

    horn trio and

    clarinet rio canconsult

    Smith

    2001.

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    YOU REAP WHAT YOU

    SOW:

    SOME

    INSTANCES

    OF RHYTHMIC AND HARMONIC AMBIGUITY IN BRAHMS

    61

    Ivla./cello l

    Allegro

    non

    troppo

    99

    Violine

    I I

    p

    B r a t s c h e

    I -----0001-

    Violoncell

    p

    ~- _

    Allegro non troppo

    4th

    th

    Pianoforte

    f

    dim.

    f

    dim.

    iio6 .

    aligned

    EXAMPLE

    I.

    Brahms, C-minor

    Piano

    Quartet,

    i,

    1-34.

    METRIC AMBIGUITY AND

    TONAL

    DELAY IN THE C-MINOR

    PIANO

    QUARTET

    The absence of metric articulation within the initial

    quasi-fermata

    on

    C

    is crucial

    to

    the

    possibility

    for

    multiple

    rhythmic interpretations

    of

    the

    quartet's

    head motive

    (see

    Example

    1).11

    Contrast the

    openness

    of this

    rhythmic

    context

    with the clear definition of

    meter

    provided

    by

    the

    measures that

    precede

    the C-minor motive of m. 65

    in

    the

    op.

    119

    Rhapsody.

    Supporting

    factors

    for

    the

    competing

    metric interpretationsin the quartet are listed in Example

    3.12

    Note in

    Example

    1 that

    although

    the

    viola and

    cello

    ii

    For

    discussion

    of other instances of

    quasi-fermatas

    in

    Brahms,

    see

    Smith

    1994a, 254-55,

    and

    1992,

    235-37.

    Samarotto

    1999,

    47,

    also uses

    the term and

    specifically

    links

    the idea

    of a

    quasi-fermata

    as unmea-

    sured time to his

    related

    category

    of

    uninterpreted

    durations.

    12

    See

    Caplin

    1998, 35-42,

    for

    definitions of

    the

    form-functional terms

    presentation

    and continuation that

    appear

    in Ex. 3.

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    62

    MUSIC THEORY

    SPECTRUM 28

    (2006)

    13

    1

    4th

    1

    4th

    rI--

    ----

    --|

    p1

    -

    -

    -

    espress.

    dim. sempre

    Sespress

    ------

    dim.

    sempre

    p

    -

    espress.

    dim. sempre

    iio6

    i6

    aligned

    i

    -but

    then

    strong-weak

    weak-strong

    strong-weak

    or

    eak-strong?

    27

    pizz.rco

    sf

    -pp

    pizz.

    .aarco

    pp

    p

    marc

    f

    V.

    Aige

    ir)

    i

    V/displaced

    i/aligned

    EXAMPLE

    I.

    [continued]

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    YOU

    REAP WHAT YOU

    SOW:

    SOME

    INSTANCES

    OF RHYTHMIC AND HARMONIC AMBIGUITY

    IN

    BRAHMS

    63

    SS

    W

    S W

    etc.

    W- S

    7f-

    or S

    -

    W

    Andante

    p

    dolce

    espress.

    Horn in Es

    r

    A I

    ,

    I

    Andante

    d.oc-..I

    Iwl--

    "

    -

    f

    Sf Sf Sf

    Sf3

    P

    Pianoforte p

    dolce

    (b)

    Brahms,

    Eb-major

    Horn

    Triody,i,

    -8.

    EXAMPLE

    2.

    provide

    metric clarification in the continuation

    portion

    of

    the

    sentence,

    a residue

    of

    conflicting

    cues

    remains

    n

    the vio-

    lin.

    Moreover,

    the

    phrase

    culminates

    in

    yet

    another

    metri-

    cally

    undefined

    quasi-fermata

    even before the

    opening

    B%

    octaves return

    n m.

    11.

    The

    Bk

    octaves

    prepare

    a second

    progression

    from metric

    uncertainty

    to

    partial clarity

    within the

    varied

    repeat

    of the

    opening phrase.

    There

    is, however, perhaps

    a

    heightened

    sense of

    displacement

    due to

    Brahms's transference of the

    motivic

    ascending

    fourth-a

    characteristic anacrusic

    gesture

    -into the

    top

    voice.

    Moreover,

    as he

    sits

    on

    the

    goal

    domi-

    nant of

    m.

    27,

    Brahms effaces

    the

    somewhat clearer

    articula-

    tion

    of

    the

    meter

    that

    again

    has

    just

    emerged

    in

    the lower

    strings.

    An element

    of

    metric

    liquidation

    thus

    complements

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    64

    MUSIC

    THEORY SPECTRUM 28

    (2006)

    (c)

    Brahms,

    A-minor

    Clarinet

    Trio, i,

    12-17

    w-

    or S Wor

    W

    (c) Brahms, A-inor Clarinet Trio, i, 2- arc7.

    153

    o

    1

    -(il

    p

    dolce

    StringsI

    (i.)

    p

    (d) Brahms, A-minor Double Concerto,

    ,

    153-57 (simplfied).

    EXAMPLE

    2.

    [continued]

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    YOU

    REAP

    WHAT YOU

    SOW:

    SOME INSTANCES

    OF

    RHYTHMIC AND HARMONIC AMBIGUITY

    IN

    BRAHMS

    65

    Strong-weak

    as notated

    Forpresentation

    (mm. 3-4)

    (1)

    appoggiatura

    character

    of

    Eb

    (2)

    p -

    (3)

    possibility

    for

    short-long

    "sarabande"

    rhythm

    in

    3/4

    For

    continuation and cadence

    (mm.

    5-10)

    (1)

    agogic emphasis

    on

    cello

    Ab,

    F, D,

    G

    (2)

    crescendo to cello D at m. 8

    Weak-strong displacement

    (1)

    agogic emphasis

    on

    D

    (2)

    tendency

    for

    ii6

    to

    fall on

    accented

    beat as in: C

    I

    F6

    G6/4

    G5/3

    1

    C

    (3)

    C-F

    ascending

    4th in cello

    (cf

    B

    -E6

    and

    Db-G6

    in

    vl.

    of mm. 14

    and

    16)

    (1)

    agogic emphasis

    on

    vl.

    Cs,

    Ab,

    G

    EXAMPLE

    3.

    Supportingfactorsfor competing

    metric

    interpretations.

    the

    more conventional

    thematic

    liquidation

    as

    the

    phrase

    reaches

    its

    harmonic

    goal.

    By

    the time

    the dominant enters

    at m.

    27, then,

    we

    have

    experienced

    two

    progressions

    from metric ambivalence to

    partial clarity

    and back

    to

    ambivalence.

    In

    both

    cases,

    as

    the

    notated

    meter

    emerges

    somewhat more

    vividly

    in the

    continuation portion of the phrase, the basic idea receives

    retrospective

    definition

    as

    a

    strong-weak gesture.

    Thus when

    the same

    quarter-note figure

    enters

    in the form

    of

    the E

    pizzicatos

    in

    m.

    28-note

    again

    the

    quasi-fermata

    context--

    it seems

    logical

    to

    expect

    that the

    motive

    will

    emerge

    again

    as

    a

    strong-weak

    utterance.

    This,

    however,

    is

    precisely

    what

    Brahms avoids. As the notated meter resurfaces at

    m.

    31,

    the

    weak-strong

    motion to

    F

    defines a new anacrusic

    placement

    for the

    rhythmic

    cell. On the one

    hand,

    this anacrusic

    posi-

    tion casts some doubt on

    perceptions

    of the

    original

    version

    of the basic idea as

    strong-weak. Perhaps

    the

    previously-

    rejected

    intuitions

    of

    weak-strong

    accentuation were

    indeed

    correct.

    Yet

    it

    is also the case that

    the

    dominant

    of m. 31 re-

    solves into

    a

    thematic counterstatement

    that

    articulates the

    downbeat

    position

    of the head

    motive

    without

    equivocation.

    Brahms's

    rhythmic

    idea

    finally

    achieves

    a

    state of

    clarity

    in

    which there is absolute conformance

    between

    heard

    and

    notated

    meter.

    Thus at

    this

    stage

    in the

    piece,

    two

    rhythmic

    identities

    have been

    posited

    and both

    have

    received later

    confirmation

    in

    more

    metrically

    determinant

    environments.

    To this

    point

    our

    focus has been on metric issues. But

    what about the potential for tonal bivalence? Do the pizzicato

    Eqs,

    for

    instance,

    point

    toward an

    ambiguity

    of

    pitch

    func-

    tion?

    Moreover,

    is there

    any particular

    way

    in

    which

    metric

    and tonal

    ambiguity

    might

    interact

    in a

    Brahms movement?

    Given

    their

    oddity,

    it

    is

    surprising

    how

    easy

    it is

    to

    interpret

    the

    Eis,

    as outlined

    in

    Example

    4. Their

    passing

    function

    argues

    against

    the

    idea

    of a

    double

    meaning.

    Yet at

    the

    moment

    they

    enter,

    before

    the voice

    leading

    carries them

    on

    to

    F,

    the

    pizzicatos

    do

    indeed

    introduce

    an

    element

    of func-

    tional

    uncertainty.

    Not

    only

    are

    they tonally odd-they

    enter

    abruptly

    and from an

    implicit

    D

    rather than

    an

    explicit

    5-6

    motion-but

    they

    are

    timbrally

    isolated

    as

    well.

    Brahms

    also

    lingers

    on the

    Eis,

    within another

    quasi-fermata, creating

    a

    further sense

    of

    isolation. These factors

    encourage

    an

    experi-

    ential

    perplexity,

    that

    is,

    a

    pregnant

    pause,

    until the

    entry

    of

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    66 MUSIC THEORY SPECTRUM 28

    (2006)

    5

    6 7

    5-

    6 -7

    V i

    V

    i

    EXAMPLE

    4.

    Passingfunction for

    E#.

    F provides retrospectiveclarification. Observe the interac-

    tion

    of

    the

    metric and tonal

    dimensions

    at this

    point

    in

    the

    form: the

    very

    moment that

    the arrivalof

    F

    clarifies the con-

    trapuntal

    function of

    E?,

    the

    passage

    likewise

    clarifies,

    at

    least

    momentarily,

    he metric

    identity

    of the

    pizzicato

    quarter

    notes.

    We will see that

    this

    type

    of

    coordination

    between di-

    mensions has

    far-reaching

    consequences

    not

    only

    for the

    piano

    quartet,

    but for

    Brahmsian

    ambiguity

    in

    general.

    Returning

    to the

    Eis

    themselves,

    notwithstanding

    the

    initial moment of suspense, it would seem dubious to at-

    tribute

    E?-minor

    harmonic function to the

    6

    chord at

    m.

    28.

    We are

    much more

    likely

    to hear the chord as some

    type

    of

    unusual

    byproduct

    of voice

    leading

    even before its function is

    made clear

    by

    the continuation

    to

    F. An

    E?-minor

    function,

    however,

    is

    precisely

    what Brahms

    assigns

    the

    6 chord in the

    recapitulation,

    as

    highlighted

    in

    Example

    5. It turns out

    that

    the

    chord does have

    potential

    to function as

    an

    inversion,

    even

    though

    Brahms realizes

    that

    potential only

    in

    a

    later

    context.

    This element

    of

    bivalence is nevertheless

    distinct

    from the

    metric

    duality

    of the

    main theme's basic idea. An

    EN-minor

    function for the

    3

    chord remains

    inactive

    within

    the

    context of the

    expository

    dominant

    expansion.

    The

    chord's

    harmonic

    potential

    lies

    fallow until

    the

    recapitula-

    tion. The

    possibility

    for

    tonicization

    thus

    represents

    a case

    of

    "unfinished

    business,"

    whose fulfillment is

    long-postponed

    and

    unlikely

    yet

    in

    retrospect

    nevitable.13

    By

    contrast,

    multiple

    metric

    interpretations

    of the

    quarter-

    note motive

    are

    availableto

    compete

    from

    the outset.

    There

    is a

    palpable

    tension between the two

    hearings

    within the

    tonic

    area,

    and

    the

    rhythmic

    cell

    thus

    achieves a

    degree

    of

    ambiguity

    absent from the

    pizzicato

    Eis.

    Brahms

    presents

    his idea

    notationally

    in

    two metric

    positions,

    and confirms

    both

    rhythmic

    identities

    with the

    unambiguous

    anacrusic

    Eq-F motion

    (m.

    31,

    weak-strong)

    and the clear downbeat

    orientation

    for the head motive at the counterstatement

    m.

    32,

    strong-weak).

    It is not a matter of one or the other

    possi-

    bility

    functioning

    as a dormant

    seed,

    awaiting

    later

    growth;

    both rhythmicidentities begin to germinatewithin the ini-

    tial

    appearance

    of the

    material.

    Moreover,

    as is well known

    and as the

    excerpts

    n

    Example

    2

    illustrate,

    discrepancies

    be-

    tween heard

    and notated

    meter are

    a

    Brahmsian hallmark.

    By

    contrast,

    harmonic status for

    a

    ?iii

    chord otherwise

    inci-

    dental to

    a

    5-6

    motion,

    represents

    an esoteric

    possibility

    that

    requiresexplicit

    realization

    to

    achieve

    perceptual

    relevance.

    One issue raised

    by

    the realization of the harmonic

    po-

    tential of the

    6

    chord is the role

    of

    compositional

    intent in

    discussions of ambiguity. Put otherwise, one strategy for

    defending

    the

    notion of

    ambiguity

    is to

    demonstrate a

    posi-

    tive

    compositional

    function

    for the

    proposed

    bivalence.

    Otherwise

    ambiguity might imply

    either creative weakness

    or

    analytical incompetence,

    an

    inability

    for

    a

    composer

    to

    craft

    Schachter's

    "clearand

    distinct

    shapes"

    or

    for an

    analyst

    to

    perceive

    them.14

    In the

    quartet's

    opening paragraph

    of

    Example

    1,

    there

    is

    strong

    evidence

    of

    Brahms's

    commit-

    ment to

    double

    meaning.

    How else are

    we

    to

    explain

    the

    13

    Brahms's

    strategy

    of

    eventually realizing

    the latent harmonic

    potential

    of

    a

    contrapuntal

    6

    chord

    informs many ofs

    many

    of his

    compositions.

    For an in-

    vestigation

    of the

    topic

    see

    Smith 1997. On "unfinished

    business,"

    see

    Cone

    1989.

    14

    Schachter

    1990,

    169.

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    YOU REAP WHAT

    YOU

    SOW:

    SOME

    INSTANCES

    OF

    RHYTHMIC

    AND HARMONIC AMBIGUITY IN BRAHMS

    67

    217

    pizz. arco

    PP

    pizz.

    arco

    p dim.

    marc

    P

    p dim.

    p..

    pimm.

    S5 6

    i

    .'.. I I

    l

    ,

    I

    ,

    S6

    7

    p

    dim.

    p

    dim.

    p

    espress.

    (a

    dim.

    C

    a)iIIp

    Bmu

    (a)

    Bra.ms,

    C-mlorPiano

    uartet,

    217-37.

    EXAMPLE

    5.

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    68

    MUSIC THEORY SPECTRUM 28

    (2006)

    217 223

    227 230 236

    pizz.

    i

    --..

    .i

    .

    .

    -

    .,II"L-

    OL

    5-6 5-6

    5-E5

    10 5 - 6

    5

    - 6

    5

    8

    07

    8-7 6

    -5

    4

    -3

    7 4

    4-3

    5

    6

    t

    2

    V

    E-minor

    motivic

    expansion

    V (as

    local

    tonic)

    (b)Analysis ofvoiceleading.

    EXAMPLE

    5.

    [continued]

    dramatic

    shift from the

    quasi-fermatas

    scattered

    throughout

    the

    opening,

    with their

    attenuating

    effect on

    metric

    percep-

    tion,

    to the relentless definition

    of the notated

    meter at

    the

    counterstatement of m. 32?

    This contrast s

    part

    of a

    strategy

    to

    begin

    not with a

    straightforwardopening

    accent

    but

    with

    a tension-filled anacrusis leading to a delayed structural

    downbeat.

    Note

    how

    a

    similarly sharp

    contrast

    of harmonic charac-

    ter

    joins

    the

    rhythmic-metric

    dichotomy

    to create this

    pro-

    gression

    from

    tension

    to

    release.

    The

    opening, although

    it

    unfolds within

    a structural

    tonic,

    expands

    that tonic

    in

    part

    through

    moments

    of

    seeming

    tonal

    discontinuity.

    Here I

    have in mind not

    only

    the shift

    to

    B

    b

    at

    m. 11 and the intru-

    sion

    of the

    pizzicato

    E s. Also

    disruptive

    is the

    progression

    from the local

    emphasis

    on

    Db

    in m. 15 to the

    Bb-major 6

    chord at m. 17.

    To be

    sure,

    one does

    not

    have to

    delve too

    deeply

    to find

    sources of

    coherence for

    these

    striking

    tonal

    events:

    B6

    enters

    through

    chromatic inflection

    of

    the

    B?

    im-

    plicit

    in

    the

    dominant arrival

    of m.

    9;

    E?

    is a

    passing

    tone,

    as

    we

    have

    just

    seen;

    and the

    violin's dissonant

    Gb

    in

    the

    viio6/

    D1

    chord at the end

    of

    m.

    16 resolves

    in

    register

    to

    the

    viola's

    F.

    The elements of surface

    discontinuity

    nevertheless

    join

    the

    metric

    ambiguity,

    rhythmic

    starts

    and

    stops,

    and slow surface

    rhythm

    to embed a slow

    introductory

    characterwithin the

    opening.

    The extended

    passage

    of

    descending

    chromaticism

    at

    m.

    17 likewise contributes

    to the

    sharp

    contrast between

    the unheimlischmbedded introduction and the fury of the

    counterstatement's

    pure

    C

    minor.

    To

    assert an

    unambiguous

    4

    meter

    throughout

    the

    opening

    would be to

    deny

    a

    signifi-

    cant

    component

    of the

    expressive opposition

    between

    the

    passages.

    In

    addition to

    their contribution

    to a

    pattern

    of tension

    and

    release,

    harmony

    and meter

    also interact to create

    more

    specific

    correlationsbetween the tonal and

    rhythmic

    dimen-

    sions.15 Its

    rhythmic

    tenuousness

    notwithstanding,

    the

    aligned

    version of the basic idea is associated

    with tonic ar-

    ticulation.

    This

    is the case

    not

    only

    at the

    very

    outset but

    15

    My

    attention

    to

    tonal-rhythmic

    correlations

    is

    inspired by

    Lewin

    1981.

    I

    similarly

    explore

    correlations

    between harmonic

    prolongation

    and

    metric

    displacement

    in Smith 2001. For further extension of Lewin's

    ideas,

    see

    Cohn 2001.

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    YOU

    REAP WHAT

    YOU

    SOW:

    SOME

    INSTANCES

    OF RHYTHMIC

    AND HARMONIC

    AMBIGUITY

    IN

    BRAHMS

    69

    also

    within

    the tonicizations of

    Bk

    and

    Db

    in

    mm.

    13-16,

    as

    highlighted

    in

    Example

    1. The

    pizzicato

    displacement,

    by

    contrast,

    alls within the dominant.The

    tension

    of

    this dom-

    inant

    resolves both

    tonally

    and

    metrically

    with

    the return of

    the basic idea at m. 32, thus

    confirming

    the association of

    metric

    alignment

    with tonic articulation.

    Indeed,

    Brahms

    createsa

    rhythmic corollary

    or the tonal relentlessness

    of the

    C

    pedal

    in

    the

    suddenly

    emphatic

    articulationof the meter.

    Not

    surprisingly,

    Brahms

    develops

    all

    of

    these characteristics

    -especially

    the metric

    duality-when

    the

    opening

    material

    returns

    in

    the

    recapitulation.16

    The result is a

    reinterpre-

    tation of the

    passage's

    anacrusic

    character

    as

    part

    of a reca-

    pitulatory

    formal

    overlap.

    The thematic material reenters at

    m. 199 of Example 6, but it is subsumed within a continua-

    tion of the retransition's

    dominant

    prolongation.

    The

    tonic

    chords

    within

    the

    passage

    are

    apparent-not

    structural--

    tonics,

    that

    is,

    they

    are

    chords built with the

    pitches

    of the

    tonic

    but without a tonic function."

    What

    is

    noteworthy

    for

    our discussion

    of

    metric

    ambiguity

    is the

    development

    of the

    quarter-note

    motive

    as

    part

    of

    this

    recapitulatory overlap.

    The

    process

    of

    development

    occurs in both the

    disguised

    reentry

    of

    the main theme at m. 199 and the

    newly-composed

    segmentbeginning in m. 208, also shown in Example6.

    In the

    first

    instance,

    the metric

    instability

    of the head

    motive intensifies as

    part

    of

    the

    process

    whereby

    retransi-

    tional

    tension extends across the

    point

    of

    thematic return.

    The

    triplet

    octaves

    in

    mm.

    196-98

    articulate the

    quarter-

    note

    pulse,

    in contrast to the a-metric characterof the

    origi-

    nal

    C

    octaves for which

    they

    substitute.

    But in a

    develop-

    ment of the

    quasi-fermata

    character

    of the

    Cs,

    the absence of

    articulation on the dotted-half

    level

    (downbeat

    of m.

    197)

    creates some doubt

    regarding

    the

    rhythmic

    status of the ma-

    terial

    in m.

    198. Does the

    shift to

    Ab correspond

    with the

    heard downbeat or does the

    agogic

    accenton the

    second beat

    -note the

    accent

    in the

    piano-articulate

    a metric

    shift?18

    Annotations in

    Example

    6

    highlight

    the

    fact that

    repetitions

    of the triplet motive, labeledX, across the formal hinge con-

    tinue

    to

    emphasize

    the second beat as the

    piano

    reintroduces

    the head motive with its

    intrinsic

    tendency

    for

    displacement.

    As

    in

    the

    expository

    version,

    the notated meter

    emerges

    with

    greater clarity,

    above all

    in

    the

    accompaniment,

    as the sen-

    tence continues

    beyond

    its basic idea

    (m.

    201).

    The metric

    confusion across the

    reprise

    nevertheless

    joins

    both the in-

    trusive

    Ab

    and

    textural-dynamic overlap

    to blur the formal

    boundary

    and

    thus

    to

    deny

    thematic

    or

    tonal resolution.

    The tendency for displacement further develops follow-

    ing

    the

    dominant arrivalat

    the end of the main theme

    (m.

    205).

    In the

    passage beginning

    in

    m.

    208

    of

    Example

    6,

    the

    fragmentary

    iterations

    of

    the head

    motive lose even

    their

    tenuous

    grip

    on the meter

    and slide into

    positions

    of

    dis-

    placement.

    This

    aspect

    of

    development

    builds

    on the

    rela-

    tionship

    between the head and

    pizzicato

    versions

    of the

    quarter-note

    idea. At the

    recapitulatory

    point

    of

    crisis,

    the

    original

    version of the

    motive

    is

    overcome

    by

    characteristics

    16 The

    metric

    ambiguity

    of

    the

    quarter-note

    motive serves as a basis for

    development

    at

    other

    points

    in the movement as well.

    A

    noteworthy

    passage

    in this

    regard

    is the central

    episode

    of the

    development

    begin-

    ning

    in m.

    142.

    There the

    grandiose B-major

    transformation

    of the

    main

    theme

    clearly

    projects

    the notated

    meter. It

    is

    in

    the

    passage

    that

    follows

    at m. 154 that

    Brahms

    exploits

    the head motive's metric

    ambi-

    guity

    to undercut

    the

    apparent triumph

    of the

    major-mode

    transforma-

    tion. Once

    again harmony

    and

    meter work hand in hand. The

    shift

    to

    E-minor at m. 154

    highlights

    the

    ephemeral

    character of the

    B-major

    triumph by retrospectively redefining

    it

    as

    an

    unstable dominant

    expan-

    sion.

    Likewise,

    the

    solidity

    of

    the notated meter

    in

    the

    B-major passage

    disintegrates

    into the

    rhythmic ambiguities

    of the

    turbulent

    E-minor

    section.

    17

    Schachter

    1990, 169-73,

    provides

    a

    stimulating

    discussion of

    apparent

    tonics.

    18 To a

    large degree,

    a decision

    about how to hear the

    passage

    will

    depend

    on

    performance

    factors. A

    chamber

    group

    that

    emphasizes

    the

    down-

    beat shift to

    A?,

    perhaps

    with

    a

    Luftpause,

    will make it

    harder

    to

    hear

    the

    agogic

    emphasis

    in m.

    198 as

    part

    of a metric

    displacement.

    A

    quartet

    that

    plays through

    the

    notated

    downbeat

    and

    onward

    to

    the

    second

    beat

    will make

    displacement

    all the

    more

    plausible.

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    70

    MUSIC

    THEORY SPECTRUM

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    3 1 2

    .

    1 2 3

    1 2 etc.

    Y k"

    ~

    ~

    xf

    espress

    fff

    fr

    p

    coespress

    S--W

    204as

    notated or:

    S

    --W

    S -W (Displaced hemiola)

    di;

    N-

    f

    i

    --Im

    --

    V V V

    EXAMPLE

    .

    Brahms,

    C-minor Piano

    Quartet,

    i,

    196-213.

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    YOU

    REAP

    WHAT YOU

    SOW:

    SOME

    INSTANCES

    OF RHYTHMIC

    AND HARMONIC

    AMBIGUITY

    IN BRAHMS

    71

    of the

    tonally

    anomalous

    pizzicato

    figure.

    What

    was

    origi-

    nally

    associated with

    the tonic

    and

    the

    notated

    downbeat

    becomes dominant oriented and

    displaced

    in a

    manner

    that

    solidifies a connection with the

    pizzicato

    version.

    Yet

    despite

    the new position of displacement,the metric identity of the

    motive remains

    ambiguous.

    As the annotations

    n

    Example

    6

    highlight,

    there is a

    very

    real

    possibility

    to

    hear

    a

    (displaced)

    strong-weak

    orientation for the idea

    despite

    the

    articulation

    of

    the notated

    meter in

    the

    piano.

    No matter

    how

    Brahms

    positions

    the

    motive,

    it

    stubbornly

    resists

    straightforward

    metric

    interpretation.

    Further

    development

    of

    metric-tonal correlationsarises n

    consequences

    Brahms draws from the

    pizzicato

    idea as it re-

    turns in m. 224. The aforementionedtonicization of the E s

    becomes

    a

    stepping

    stone to

    recapitulation

    of

    the

    secondary

    material

    in

    the

    unlikely

    key

    of the

    major

    dominant

    (see

    m.

    236 of

    Example

    5).

    Thus in

    a somewhat

    more

    abstractman-

    ner,

    the

    displaced

    version

    of the

    quarter-note

    motive

    remains

    bound

    up

    with the dominant. Brahms takes care to

    provide

    both metric resolution

    for

    the head

    motive and

    tonal-timbral

    resolution

    for the

    pizzicato

    figure

    as

    part

    of the

    delayed

    structural

    downbeat that

    results from

    this off-tonic return.

    Remarkably,the dominant expansion extends not only

    across the

    reprise

    of the

    secondary

    material

    (mm.

    236-87)

    but even

    into the coda of m.

    288.

    This

    extended dominant

    itself

    further

    prolongs

    the dominant that

    originates

    n the

    re-

    transition and flows across the return of

    the

    primary

    the-

    matic material.

    The

    result is that we

    find ourselvesstill wait-

    ing

    for a structural onic as late as m. 312

    of the

    coda.19

    As

    Example

    7

    shows,

    a

    passage

    characterized

    by

    relentlessartic-

    ulation of the

    notated

    meter

    prepares

    the restatement of

    the

    opening

    C octaves

    that

    finally provide

    this

    delayed

    tonic

    at m.

    313.

    (The

    clear

    delineation

    of the

    meter in m. 312

    reflects

    the

    overall metric

    clarity

    of

    the

    preparatory

    assage,

    which

    begins

    in m.

    308.)

    The sense of

    pulse easily

    continues

    through

    the

    octaves,

    which

    lose their

    a-metric character.

    The sustained

    meter allows for clear

    rhythmic

    definition

    of

    the two versions

    of the

    quarter-note

    motive as

    they

    enter

    for the first time in

    contrapuntal

    combination. Indeed the

    combination itself contributes

    to the sudden metric

    clarity.

    There

    is no

    longer

    any

    doubt that the octave

    leap

    functions

    as

    an anacrusis

    and that the basic

    idea

    sits

    firmly

    on the

    downbeat.

    In addition

    to

    this

    element of

    metric

    resolution,

    note that both the

    timbral

    and tonal dissonance

    of the

    pizzi-

    cato motive

    resolve: the

    unheimlisch

    E?

    figure

    now

    appears

    arco and

    transposed

    to the tonic

    pitch

    level.

    Liquidation

    of

    motivic

    idiosyncrasy-including

    the movement's seminal

    metric double meaning-thus complements the long delayed

    resolution

    of

    the

    recapitulation's

    dominant

    prolongation.20

    METRIC

    AMBIGUITY AND LINKAGE IN THE DOUBLE

    CONCERTO AND CLARINET

    TRIO

    Although

    I

    have not

    yet

    described

    it

    in

    these

    terms,

    the

    motivic

    process

    across

    the

    formal

    hinge

    at

    m.

    32

    in

    the

    quartet presents

    a classic case of

    Knipftechnik

    or

    linkage

    tech-

    nique (refer back

    to

    Example 1).21

    The

    motivic

    substance

    at

    the end of

    one formal unit-the

    pizzicato

    *s-becomes

    the

    thematic

    point

    of

    departure-the

    EB-D

    basic idea-for

    the

    subsequent

    section.

    The

    wrinkle

    here is that the motivic

    connection

    is

    primarily

    rhythmic.

    Although

    both

    passages

    emphasize

    3,

    an

    identity

    relationship

    arises

    largely through

    repetition

    of

    the

    quarter-note

    pattern.

    Note also

    that

    the

    rhythmic

    motive occurs twice in each instance.

    As

    we have

    i9

    I

    discuss his

    tonal

    delay

    and its

    implications

    or

    Schenkerian

    iews of

    sonata orm n

    greater

    detail

    n Smith 1994b.

    20

    Epstein

    1979, 162-69, tracesa similarcoordination etweenresolution

    of

    a tonal

    delay

    and resolutionof an elemental metrical

    ambiguity

    n

    the firstmovement

    of

    Brahms's

    Second

    Symphony.

    21 The

    term

    Knipftechnik

    s

    Schenker's.See his discussionof motive

    in

    Schenker

    1954,

    3-12

    and

    fn.

    10. For additional

    examples

    and further

    discussion

    of

    linkage,

    see

    Kalib

    1973,

    vol.

    I:

    89-92,

    and

    Jonas

    1982,

    7-10.

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    MUSIC

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    Pizz. motive

    now

    arco and

    transposed

    to C.

    Clearly

    heard as

    notated: W-S

    largamente

    312

    vi

    espress.

    + via.

    (+8)

    Piano

    (+ 8)

    cello

    (piano

    not shown)

    (vla. + cello not shown)

    V

    i Headmotive owclearly eard s notated: -W

    EXAMPLE

    7.

    Brahms,

    C-minor Piano

    Quartet,

    i,

    312-17

    (simplified).

    seen,

    the

    process

    is

    complicated

    by

    the fact that the metric

    position

    of the motive shifts across the formal divide.

    This shift is crucial

    to

    my argument

    in favor of

    hearing

    the tonic area in terms of an elemental metric

    ambiguity.

    To

    summarize:

    following

    previous retrospective

    confirmations

    of

    a

    strong-weak

    interpretation

    of

    the basic

    idea,

    the entrance

    of the

    pizzicato

    motive can

    easily

    be heard

    as

    yet

    another

    strong-weakutterance. Yet not a moment later,an anacrusic

    E?-F

    motion

    (mm.

    30-31)

    clarifies the situation

    in

    favor

    of a

    weak-strong

    interpretation.

    But

    then

    linkage

    with

    the counterstatement

    forces

    us

    back

    into the

    just-rejected

    strong-weak

    hearing.

    The result

    is a

    process

    in which

    we can

    never be

    certain about the status

    of the motive-either the

    version we have

    just

    heard

    or

    the

    one we are

    currently

    hear-

    ing,

    or even

    repetitions

    still

    to come. This is the case

    despite

    isolated

    moments

    in

    which a

    single interpretationapparently

    comes into

    focus,

    that

    is, despite

    the context-sensitive

    hier-

    archy

    of

    interpretations

    that

    Agawu

    believes disavows the

    possibility

    for

    ambiguity.

    Although

    linkage

    is

    most often described

    as a

    pitch

    phenomenon,

    the

    quartet

    is far from the

    only example

    in

    which

    the

    technique

    interacts with

    rhythmic-metric

    devel-

    opment.

    Such

    instances of

    linkage characteristically

    unction

    within

    larger processes

    centered

    on a back-and-forth

    of

    metric

    ambiguity.

    This is the case

    in

    the

    first

    movements

    of

    the double

    concerto,

    clarinet

    trio,

    and horn

    trio,

    works

    whose

    metrically-ambiguous

    motives

    I

    have

    already

    cited

    in

    Ex-

    ample

    2.

    The

    concerto,

    where

    linkage

    is

    ubiquitous, provides

    an ideal context

    to continue our

    exploration

    of Brahmsian

    bivalence. Since I havewritten elsewhere aboutmetric orga-

    nization in the

    trios,

    I will limit

    my

    discussion

    here to the

    most relevant

    points

    as

    exemplified

    by

    the clarinet

    work,

    as

    an

    adjunct

    to

    my

    discussion of the

    concerto. These include

    characteristics

    we have also observed

    in the

    piano

    quartet:

    (1)

    the function of

    linkage

    in

    larger

    metric

    processes,

    partic-

    ularly

    as

    it

    contributes to

    ambiguity;

    (2)

    correspondences

    be-

    tween the

    rhythmic

    and harmonic

    dimensions;

    (3)

    the role

    of metric

    displacement

    n

    creating

    extended

    tonal

    delays;

    and

    (4)

    the

    tendency

    for Brahms

    to resolve metric

    ambiguity

    as

    an

    integralpart

    of

    closure,

    following

    these extended

    delays.

    The

    secondary

    dea

    in

    the

    concerto's irst movement

    plays

    a crucial

    role in

    establishing

    and

    developing

    the

    work's

    ele-

    mental

    metric

    ambiguity.

    The

    omnipresence

    of

    linkage

    in

    Brahms's

    reatment of this idea becomes

    apparent

    at the out-

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    set

    in

    the concerto's amous

    opening

    alternationof orchestral

    and cadenza-like

    passages.22

    As

    Example

    8

    illustrates,

    the

    solo cello concludes

    its

    cadenza

    in mm.

    25-26

    with an F-E

    dyad

    whose

    appoggiatura

    character

    signals

    a

    strong-weak

    (hyper)metricrelationship.The clarinet then enters with the

    secondary

    dea whose head motive forms

    a

    linking repetition

    with the

    cello's

    appoggiatura.23

    he fact that

    the

    horns ex-

    tend the cello's E to form

    yet

    another

    quasi-fermata,

    means

    that the metric context for the clarinet

    entrance

    is less than

    clearly

    defined. This lack of definition

    conspires

    with the

    linkage

    and

    grouping

    pattern

    of the head motive to encour-

    age

    a

    metric

    displacement.

    Listeners who

    hold

    tightly

    to the cadenza's

    meter,

    even in

    the face of the quasi-fermata,neverthelesswill recognizethe

    clarinet's

    syncopated

    status.24The clarinet's

    misalignment

    is

    further

    signaled by

    articulationof the barlines

    n

    the accom-

    paniment

    (third

    and fourth

    horns,

    second

    flute, etc.).

    The

    passage

    thus

    presents

    a

    threefold

    rhythmic complexity.

    Are

    we to hear the theme as

    notated,

    with the

    melody

    out of

    phase

    with

    the meter

    as

    defined

    by

    the

    accompaniment?

    Or

    do

    the

    linkage

    and

    quasi-fermata

    allow

    us

    to be

    fooled

    into

    thinking

    that

    the

    melody

    corresponds

    with the

    meter,

    thereby defining

    the

    accompaniment

    as

    syncopated?

    Or do

    we hear

    something

    in

    between:

    a

    conflict between

    a

    strong-

    weak

    tendency

    in the

    melody

    competing

    against

    the accom-

    paniment's

    articulationof the notated meter?

    Rather than solve the

    quandary,

    he

    passage

    sustains

    mul-

    tivalence

    through

    further

    linkage,

    now

    across

    the

    hinge

    be-

    tween the orchestral

    phrase

    and the violin'scadenza

    of m.

    31.

    As

    Example

    9

    suggests,

    the violin

    material

    supports multiple

    interpretations,

    at least until m. 34 where the notated meter

    decisively

    reemerges.

    From one

    perspective,

    the new

    linking

    motive can be heard to extend

    a

    displacement

    in

    the final

    bars of the orchestralphrase.Yet the agogic accents on the

    violin's

    high

    A

    half notes

    begin

    to

    signal

    the notated barlines.

    In

    addition to

    their

    influence

    on metric

    interpretation

    of the

    cadenza,

    these accents

    retrospectively

    effect

    interpretation

    of the

    orchestral

    passage.

    As the violin's motive

    locks

    on to

    the notated

    meter,

    the

    passage

    encourages

    us

    to reconsider

    the statement

    of the

    same

    figure

    at

    the

    end of the

    previous

    phrase: perhaps

    the

    second

    linking

    motive did articulate the

    meter

    all

    along.

    This

    revelation

    in turn

    calls into

    question

    a

    strong-weak interpretation of the head motive of the sec-

    ondary

    theme. But this last bit of

    retrospective

    reevaluation

    contradicts the

    original linking relationship

    with the

    cello,

    one source for the initial sense of metric

    displacement.

    Brahms thus

    traps

    us

    in

    a

    seemingly

    endless

    loop

    of

    ambigu-

    ity.

    He never makes it

    exactly

    clear either

    where we

    are,

    where we have

    been,

    or where he

    might

    take us.

    Just

    as the

    music

    seems to settle into one

    perspective,

    linkage

    forces

    us

    to reconsider.The result

    is

    a

    process

    in

    which

    we are contin-

    ually

    uncertain

    regarding

    the

    metrical

    identity

    of

    Brahms's

    motivic materials.

    This

    ambiguity

    contributes

    to the

    yearning

    and

    gently

    restless character of the

    secondary

    material.

    Indeed,

    Brahms

    continues

    to

    marshal

    linkage

    in

    the service

    of

    metric biva-

    lence

    when the theme returns

    n the

    C-major

    secondary

    area

    (m.

    153).

    As

    Example

    10

    highlights,

    the clarinet line

    at the

    end of the transition reawakens both metric

    possibilities

    22 Daverio

    interprets

    linkage

    across the entrance of cadenza

    passages

    in

    the concerto as part of a strategy by which Brahms integrates "the chief

    tokens of

    virtuosic

    display

    with the

    formal and

    thematic

    argument"

    of the work.

    For this

    point

    as well as

    far-reaching

    critical

    commentary

    on

    the

    entire

    concerto,

    see Daverio 2002.

    23

    The cello's cadenza

    itself

    enters

    through

    linkage

    with the

    opening

    or-

    chestral outburst

    (mm. 4-5).

    24 This manner of hearing corresponds with Andrew Imbrie's notion of

    a conservative

    listener,

    that

    is,

    a

    listener

    who maintains

    a

    previously-

    established meter

    for

    as

    long

    as

    possible

    in

    the face

    of

    conflicting

    cues.

    Imbrie's

    radical

    listener,

    by

    contrast,

    is

    more

    inclined

    to

    adjust

    immedi-

    ately

    in the

    face.

    of

    challenges

    to

    an

    ongoing

    metric

    pattern.

    See Imbrie

    1973.

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    74

    MUSICTHEORY PECTRUM8

    (2006)

    25s-s

    w

    s-w

    p=dolce

    p dod/ce

    25.S--W

    S

    -

    S-W

    FL

    d o k e e

    Sdolcece

    Hr.

    p

    S -w

    arco

    Solo:

    Vc.

    o

    EXAMPLE .

    Brahms,

    Double

    Concerto,

    ,

    25-30

    (simpliied).

    for the 3-2

    dyad.

    The clarinet also

    articulates ts

    closing

    6--

    appoggiatura

    as

    a

    strong-weak

    gesture.

    Brahms thus

    places

    the

    second theme in another context of linkage that en-

    courages

    the same

    internal conflicts found in

    the

    opening

    orchestral-cadenza

    alternation. Listeners attuned to the

    preparatory

    articulation of the

    notated meter will hear the

    second theme

    syncopated

    against

    the

    accompaniment.

    For

    those more focused on the

    grouping pattern

    in

    the

    solo cello

    it will be

    just

    the

    opposite.

    In

    either

    case,

    it is

    noteworthy

    that the

    theme's

    rhythmic

    restlessness

    complements

    the

    passage's

    harmonic

    instability.

    As the

    graph

    in

    Example

    11

    shows,

    the

    theme

    expands

    the dominant

    rather than

    the

    local C

    tonic. Similar

    to

    the

    situation

    in the

    piano quartet,

    metric

    dissonance and

    tonal

    tension work

    hand

    in hand.

    It

    is not

    the

    case,

    however,

    that metric conflict dominates

    the entire

    thematic

    statement.

    The

    cello and

    accompaniment

    do

    finally

    come

    together

    to articulate the notated

    meter at

    the

    arrival

    on

    III# at

    m. 161. What is remarkable

    is that

    Brahms

    paradoxically

    uses

    this metric

    clarity

    to

    prepare

    or

    the

    reemergence

    of

    still more metric

    ambiguity

    via

    linkage.

    As

    the cello reaches the end of its phrase, it arriveson two

    final

    statements

    of

    the

    3-2

    dyad,

    now heard

    clearly

    as weak-

    strong

    in

    conformance with the notated meter

    (mm.

    164-

    66).

    Yet the entrance of the

    solo violin

    immediately

    contra-

    dicts this metric consonance with its

    displaced strong-weak

    repetitions

    of the

    same 3-2 motive.

    A

    trace of the notated

    meter nevertheless remains in

    the

    accompaniment,

    which

    shifts back to its

    out-of-phase relationship

    with

    the

    solo line.

    As

    we have

    just

    seen

    in

    the case of the cello's

    phrase,

    the vio-

    lin

    and orchestra also

    eventually

    come

    together

    to articulate

    the notated

    meter,

    now at the

    C-major

    cadence of mm. 170-

    71

    (not

    shown).

    Once

    again,

    resolution of a tonal

    delay

    cor-

    responds

    with resolution

    of metric

    ambiguity.

    Yet

    although

    soloists

    and orchestra

    remain

    in

    phase following

    a

    quasi-

    fermata on

    this

    closing

    C,

    they

    work

    together

    in the

    subse-

    quent passage

    to articulate

    a

    displacement

    (mm. 172-79).

  • 8/18/2019 Rhythmic and Harmonic Ambiguity in Brahms

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    YOU

    REAP

    WHAT

    YOU

    SOW:

    SOME

    INSTANCES OF

    RHYTHMIC

    AND

    HARMONIC AMBIGUITY

    IN

    BRAHMS

    75

    1

    2 3

    4

    1

    1

    2 3

    41

    p

    dolce

    29-

    Fl.

    I••

    .x

    Cl.

    Fgitd

    1

    29

    /

    r---~~~~-3-----

    r---3----_•

    --

    "N•

    29

    /-

    r

    -3

    Solo

    l3a.

    ---3m3------

    Solo

    __ _ _ __ _ _ _

    Vcl.I

    I

    shifted:

    1

    2

    3

    4 1

    2 3 4

    or

    A A

    A

    A

    -IC?

    etc.

    pocof

    as notated:

    1 2

    3 4 1

    2 3

    4

    1 2

    3

    4

    5

    6 1

    EXAMPLE

    9.

    Brahms,

    Double

    Concerto,

    i,

    29-36

    (simplified).

    Thus we see that

    Brahms

    thematicizes

    the

    seemingly

    endless alternation

    of metric articulation and

    displacement,

    as well as direct conflicts between the two.

    Indeed,

    this ele-

    mental

    conflict continues

    to

    animate

    developments

    of the

    secondary

    idea

    throughout

    the

    movement.

    The

    tendency

    for

    internal

    conflict

    is

    especially pronounced

    in solo

    passages

    where

    transparency

    of

    texture affords

    Brahms the

    opportu-

    nity

    to create

    conflicting signals

    in his musical narrative.

    Big

    orchestral

    tuttis,

    on the other

    hand,

    are

    ideally

    suited to un-

    ambiguous displacement

    in which all instruments

    join

    to

    ef-

    face the notated meter.

    Comparison

    of the

    unchallenged

    metric shift

    in the

    tutti statements

    of

    the

    secondary

    idea in

    mm.

    90-101

    and

    206-17

    with

    the

    more conflicted version

    for

    the

    soloists we have

    just

    examined

    highlights

    this

    di-

    chotomy.

    To

    borrow

    terminology

    from Harald

    Krebs,

    Brahms

    heightens

    the

    contrast between

    solo

    and

    tutti

    sections

    through

    a contrast between

    direct and

    indirect

    (or

    even sub-

    liminal)

    rhythmic

    dissonance.25

    Given Brahms's

    penchant

    for sustained

    tension,

    it

    is not

    surprising

    that

    the metric

    ambiguity

    resolves

    unequivocally

    only

    in the coda. As seen in

    Example

    12,

    a final

    disguised

    statement

    of the

    secondary

    idea in the flutes and first violins

    counterpoints

    the soloists'

    push

    to cadential closure. The

    rhythmic liquidation

    here

    is

    not as

    straightforward

    as the

    metric resolution

    in

    the

    piano

    quartet.

    Brahms

    manages

    to

    highlight

    both the head motive's

    tendency

    for

    displacement,

    25

    Krebs

    1999.

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    76

    MUSIC THEORY SPECTRUM 28

    (2006)

    W-S

    S

    -W W

    -

    S S

    W

    148

    L

    J

    , Solo

    Vcl.

    Fg.

    dim.

    -p

    dolce

    dim.

    Strings

    T(p

    zz.')

    Idm

    rdim.

    --p-

    sf

    --"dm

    155

    Solo0 6

    1,

    S

    espress.

    -

    dolce

    Strings

    I

    ,

    arco

    sf--

    p

    dim.

    EXAMPLE

    IO.

    Brahms,

    Double

    Concerto,

    ,

    148-68

    (simplified).

    and the

    tendency

    for

    agogic

    accents

    on the theme's

    high

    As

    to

    reassert he

    barline.

    As the annotations

    in

    Example

    12

    in-

    dicate,

    the

    medium

    for

    this dual accommodation

    is the 5+3

    grouping pattern

    asserted

    by

    the soloists.

    Brahms

    finally

    al-

    lows the traces

    of

    displacement

    to

    evaporate

    simply by

    aban-

    doning

    the

    head motive

    following

    its final

    appearance

    n

    m.

    423.

    He focuses instead on articulation of the notated

    meter

    via the

    high

    A

    fragment.

    This

    fragment,

    in

    turn,

    liquidates

    through

    rhythmic

    augmentation

    as the

    closing

    tonic

    arrives

    at

    m. 428.

  • 8/18/2019 Rhythmic and Harmonic Ambiguity in Brahms

    22/42

    YOU

    REAP WHAT

    YOU

    SOW:

    SOME INSTANCES

    OF RHYTHMIC

    AND

    HARMONIC AMBIGUITY

    IN

    BRAHMS

    77

    W-

    S

    W-

    S

    S

    -W

    162

    Solo

    ln.

    Vcl.

    i

    ,-

    i

    --

    ,li

    I

    t

    p

    dolce

    Fg.

    -

    I,,

    p

    dolce

    pizz.

    Strings

    --

    I/o

    ,v,

    pp _

    pizz.

    EXAMPLE 10.

    [continued]

    153 156

    158 161

    163 165 167

    I4,

    --,

    10

    6

    8

    5

    3

    5

    I

    V/ii ii

    Ger.

    5

    III#

    V I

    V

    IV

    V

    EXAMPLE

    II.

    Voice-leading

    analysis ofDouble

    Concerto,

    i,

    153-67.

    THE

    CLARINET TRIO

    Similar

    metric

    processes involving quarter-note

    dyads

    animate

    formal

    developments

    in the clarinet

    trio.

    The

    trio's

    rhythmic

    and

    harmonic

    dimensions,

    moreover,

    interact

    along

    the

    lines

    we have observed

    in the

    piano

    quartet:

    articulation

    of

    the notated

    meter tends

    to

    correspond

    with tonic articula-

    tion while

    displacement

    tends

    to

    correlate with dominant

    ex-

    pansion.

    A

    further

    similarity

    arises

    in

    the function of a

    quasi-

    fermata to create

    a

    context

    in

    which the

    metric

    identity

    of a

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    78

    MUSIC

    THEORY SPECTRUM 28

    (2006)

    =4

    5

    +

    3

    5

    +

    3

    +

    1

    421

    Solo

    Vcl.

    w

    T.,,,,Hw.T

    -.

    5 3

    5

    4

    (as notated)

    4

    secondary

    dea

    4-

    4

    4vas--

    Vc.

    1, l.

    _ _ ___ _

    _"_

    _

    Via.-%_

    _ _ _ _ _

    V c l

    pizz.

    4

    425

    (8va)--------- --

    A-E-(A)

    augmented

    +

    Winds

    arco

    +

    Fg.

    arco

    EXAMPLE

    12.

    Brahms,

    Double

    Concerto,

    ,

    421-27

    (simplified).

    seminal thematic idea remains

    equivocal.

    As

    Example

    13

    il-

    lustrates,

    the

    grouping pattern

    of this thematic

    idea,

    the

    passing

    function of its

    Bs,

    and the cello's entrance in m. 15

    support

    a

    metric

    displacement.26

    Nevertheless

    the

    theme

    also includes

    signs

    that do

    indeed

    articulate

    the

    notated

    meter. First

    observe the

    slight

    pauses

    on

    the

    Bs,

    which result

    from

    the articulation

    slurs and

    staccato

    markings

    on each

    downbeat.The downbeats

    gain

    further

    salience

    through

    the

    apparent

    i'4/2

    chords

    that result from

    this

    B

    emphasis.

    The

    ii~4/2

    chords connect

    motivically

    to

    the

    apparent

    ii04/2

    chords

    that fall within the clear articulationof the notated meter in

    the movement's

    main theme

    (mm.

    6-12).27

    Brahms further

    articulates

    he notated

    meter at mm. 15 and

    17,

    once

    again

    26

    Brahms's

    placement

    of

    the

    virtually

    identical motive on

    both

    the

    heard

    and

    notated

    downbeat in

    the

    E6-major

    rhapsody,

    shown

    in

    Example

    2(a),

    provides

    further

    support

    for the idea of a metric shift.

    27

    I

    adopt

    the

    designation"apparent

    i'4/2"

    romAldwell and Schachter

    2003,

    417-18. Aldwell and

    Schachterdescribe his

    type

    of

    supertonic

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    YOU REAP WHAT YOU

    SOW:

    SOME