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  • 8/20/2019 Rotational Form, Teleological Genesis, And Fantasy-Projection in the Slow Movement of Mahler 6th

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    Rotational Form, Teleological Genesis, and Fantasy-Projection in the Slow Movement ofMahler's Sixth SymphonyAuthor(s): Warren DarcySource: 19th-Century Music, Vol. 25, No. 1 (Summer, 2001), pp. 49-74Published by: University of California PressStable URL: http://www.jstor.org/stable/746914Accessed: 28/07/2010 15:08

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  • 8/20/2019 Rotational Form, Teleological Genesis, And Fantasy-Projection in the Slow Movement of Mahler 6th

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    Rotational

    F o r m

    Teleological

    Genesis ,

    a n d

    Fantasy Projection

    n t h S l o w

    ovement

    o

    M ahler s S i x t h

    Symphony

    WARREN DARCY

    Gustav

    Mahler's

    Symphony

    No. 6

    in A

    Minor

    is often considered one of his most

    personal

    utterances,

    a sort of

    terrifying

    Sinfonia

    Domestica

    in which the

    composer

    foretold his

    own downfall at the hands of an

    implacable

    fate.1

    This

    impression

    is reinforced

    by

    the

    work's obvious

    "negative dialogue"

    with the

    victory-through-struggle paradigm

    so

    important

    to the

    nineteenth-century symphony.

    At its

    most basic

    level,

    this narrative

    trajectory

    en-

    tails the

    "redemption"-the

    drive toward a

    metaphysical

    Erlbsung,

    to use a term with

    ap-

    propriately

    Wagnerian

    resonances-of an

    ini-

    tially

    troubled

    beginning

    out

    of

    the

    minor mode

    into the

    major

    at the

    end. This

    negative-to-

    positive trajectory may encompass

    a

    single

    movement,

    as in the finale of Mahler's First

    Symphony,

    or it

    may span

    an entire multi-

    movement

    work,

    as it does in his Second and

    A

    version

    of

    this

    paper

    was

    first

    presented

    in

    December

    1998

    at the Annual

    Meeting

    of the

    Society

    for

    Music

    Theory

    in

    Chapel

    Hill,

    North

    Carolina.

    It

    was

    subsequently

    read

    at a graduate olloquiumat YaleUniversity (February 001),

    a

    symposium

    on musical

    scholarship

    at the

    University

    of

    Minnesota

    (March 2001),

    and a lecture series at the Uni-

    versity

    of

    Cincinnati

    (May 2001).

    'For

    example,

    Dika

    Newlin writes: "But there

    can be no

    doubt that even at the time he

    composed [the

    Sixth

    Sym-

    phony]

    Mahler felt that its

    tragedy

    held some

    special per-

    sonal

    significance

    for

    him."

    See Dika

    Newlin,

    Bruckner,

    Mahler, Schoenberg (New York, 1947;

    rev. edn.

    1978), p.

    181. This notion

    appears

    to have

    originated

    with Alma

    Mahler,

    who wrote in her memoirs: "Not one of his works

    came so

    directly

    from his inmost heart as this one. We

    both

    wept

    that

    day [when

    Mahler

    played through

    the

    sym-

    phony

    at the

    piano].

    The

    music

    and

    what

    it

    foretold ouched

    us so

    deeply.

    The Sixth is the most

    completely personal

    of

    his

    works,

    and a

    prophetic

    one also." As

    concerns

    the

    "domestic"

    aspect

    of the

    work,

    she wrote: "After he

    had

    draftedthe first movement he

    came

    down

    from the wood

    to tell me he had tried to

    express

    me in

    a theme

    ....

    This

    is the

    great soaring [secondary]

    heme of the first move-

    ment of the Sixth

    Symphony.

    In the third movement he

    represented

    the

    arhythmic games

    of the two little chil-

    dren, tottering in zigzags over the sand." As for the com-

    poser depicting

    his own downfall: "Inthe last movement

    he described himself

    and his downfall

    or,

    as he later

    said,

    that of his hero: 'It is the

    hero,

    on whom fall three blows

    of

    fate,

    the last of which fells him as a tree is felled.'

    Those

    were

    his

    words.

    . .

    . In the

    Kindertotenlieder,

    as

    also in the

    Sixth,

    he

    anticipated

    his own life in

    music.

    On

    him

    too fell three blows of

    fate,

    and the last felled

    him"

    (Alma Mahler,

    Gustav

    Mahler:

    Memories and

    Letters,

    rev.

    and ed. Donald

    Mitchell,

    trans. Basil

    Creighton [London,

    1969]; orig. publ.

    as Gustav

    Mahler: Erinnerungen

    und

    Briefe

    [Amsterdam,1940], p. 70).

    19th-Century

    Music,

    XXV/1,pp.

    49-74.

    ISSN:

    0148-2076.

    ?

    2001

    by

    The

    Regents

    of the

    University

    of

    California.

    All

    rights

    reserved. Send

    requests

    for

    permission

    to

    reprint

    to:

    Rights

    and

    Permissions, University

    of California

    Press, JournalsDivision,

    2000 Center

    St.,

    Ste.

    303,

    Berkeley,

    CA

    94704-1223.

    49

  • 8/20/2019 Rotational Form, Teleological Genesis, And Fantasy-Projection in the Slow Movement of Mahler 6th

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    19TH

    CENTURY

    MUSIC

    Fifth.2 When a minor-mode work remains

    locked in its

    original negativity

    by

    proving

    in-

    capable

    of

    breaking through

    into

    major,

    one

    might say

    that the

    Erlisung paradigm

    is

    thwarted or "fails" in some

    way.3

    Such "fail-

    ure" does not

    necessarily

    call into

    question

    the

    paradigm

    itself;

    the

    positivity

    of the

    major

    mode

    remains a desirable

    goal,

    and the strained effort

    to achieve

    it,

    even when

    unsuccessful, provides

    the central "content" of the work. In Mahler's

    Sixth

    Symphony,

    which ends in A

    minor,

    the

    Erl6sung paradigm not only fails but also car-

    ries even

    more

    disturbing implications.

    As it

    proceeds

    the work

    appears

    to

    question

    or even

    deny

    the worth of the

    aspiration

    itself: it

    posits

    utopia

    as an

    illusion,

    a

    self-deluding

    conceit,

    the

    pursuit

    of

    which is

    ultimately

    futile. From

    this

    point

    of

    view,

    the work

    is not

    adequately

    characterized

    by

    its traditional

    title: more than

    "tragic,"

    this

    symphony

    is

    resolutely

    nihilis-

    tic.

    Although

    the

    first movement concludes with

    a

    giddily

    manic

    celebration of A

    major,4

    this

    hollow

    triumph-unconvincing

    even on its own

    terms-is overturned

    by

    the

    scherzo,

    which

    not

    only

    reverts

    instantly

    to the

    tonic minor but

    also seals off its

    ending

    in that

    key.

    In the

    extended

    harangue

    of the

    finale,

    the fatalistic

    drama is

    played

    out to

    its bitter end.

    Only

    the

    EL-majorslow movement, Andante moderato,

    seems isolated

    from the tonal strife of

    the rest

    of the

    symphony, regardless

    of whether it is

    performed

    before or

    after

    the

    scherzo.5

    As

    Rob-

    2The finale of the First

    Symphony begins

    with an off-tonic

    sonata in the "Inferno"

    key

    of

    F

    minor,

    which is eventu-

    ally

    overthrown

    or transcended

    by

    a

    D-major

    breakthrough

    (Durchbruch),allowing

    the movement to conclude

    in the

    "Paradise"

    ey

    of

    D,

    the tonic of the

    symphony

    as a whole.

    The Second

    Symphony begins

    with the C-minor

    "Todtenfeier"movement; its finale launches an expansive

    F-minor sonata whose

    recapitulation

    articulates an enor-

    mous

    lIII-V-Iauxiliary

    cadence

    in the "resurrection"

    key

    of

    Ebmajor.

    The Fifth

    Symphony

    begins

    in

    C#

    minor;

    apart

    from the central

    scherzo,

    which adumbrates he conclud-

    ing key

    of

    the

    symphony,

    the work

    progressesby

    descend-

    ing

    thirds

    (C#

    minor-A

    minor-F

    major-D major)

    to con-

    clude

    in the

    key

    of D.

    3This

    is almost

    always

    the case

    with

    Mozart,

    whose mi-

    nor-modesonata-based

    movements

    invariablyrecapitulate

    off-tonic material from the

    exposition

    in the tonic minor

    ratherthan the tonic

    major.

    4The turn to A major occurs in the coda, not within so-

    nata-space proper.

    From one

    point

    of

    view,

    the coda does

    not so much

    accomplish

    what the sonata mechanism

    has

    left undone as

    demonstrate that which it was unable to

    achieve.

    5In

    Mahler's

    original

    conception

    of the

    work,

    the

    scherzo

    followed the

    first

    movement and the Andante moderato

    preceded

    the

    finale;

    the movements

    occupy

    these

    posi-

    tions in the first

    published

    edition of the score

    (C.

    F.

    Kahnt,

    1906;

    rpt.

    Dover, 1991). Mahler, however,

    was

    apparently

    concerned that the

    openings

    of the first movement and

    the scherzo were too similar and decided to reverse

    their

    order or the Essen

    premiere

    (27

    May 1906);

    his

    reordering

    was carried out in the second and third editions of the

    score

    (also

    1906),

    the last of which

    (the

    second

    version of

    the

    symphony)

    exhibits

    many changes

    in

    orchestration

    against

    the first two. The Critical

    Edition

    (1963)

    is based

    on the second

    version,

    but restores Mahler's

    original

    or-

    dering

    of movements.

    Although

    Norman Del Mar criti-

    cizes this

    editorial decision

    by

    Erwin Ratz as

    "wholly

    un-

    documented"

    (and

    indeed in his Revisionsbericht Ratzof-

    fers not a

    scrap

    of

    evidence

    in its

    support),

    Hans-Peter

    Jiilg

    defends it on the basis of remarks

    by

    Paul Stefan and

    Willem

    Mengelberg,

    as well as

    the

    fact

    that, according

    to

    him,

    the

    composer

    conducted

    the work in this form at the

    Vienna

    premiere

    (4

    January1907).

    As David Matthews

    has

    pointed

    out, however,

    both the

    program

    or this concert as

    well as at least five reviews in the Vienna press confirm

    that the Andante moderato was

    played

    before the scherzo.

    Furthermore,

    Mengelberg's

    notation in his score that the

    original orderingrepresented

    Mahler's ast wishes

    (a

    state-

    ment

    printed

    in

    the

    program

    notes for a

    performance

    on

    5

    October 1919

    in

    which

    Mengelberg

    observed this

    original

    ordering,

    as he

    did

    again

    at

    the Amsterdam Mahler Festi-

    val in

    1920) appears

    o have

    originated

    n a 1919

    telegram

    from Alma

    Mahler,

    who could

    of course have been ex-

    pressing

    her

    personal preference

    for Mahler's initial con-

    ception.

    It is thus

    impossible

    to be certain of Mahler's

    final

    wishes in this matter. See Norman

    Del

    Mar,

    Mahler's

    Sixth Symphony--A Study (London, 1980; rpt.New York,

    1982),

    p.

    91;

    and

    Hans-Peter

    Jiilg,

    Gustav

    Mahlers

    Sechste

    Symphonie,

    vol. 17 of

    Freiburger

    Schriften

    zur

    Musikwissenschaft

    (Munich, 1986), p.

    39.

    For

    Matthews,

    see "The Sixth

    Symphony,"

    in

    The

    Mahler

    Companion,

    ed. Donald Mitchell

    and Andrew Nicholson

    (Oxford,1999),

    pp.

    366-75,

    esp. pp.

    370-74.

    Although

    internal evidence can

    be adduced n favor of

    both

    versions,

    Adorno's tonal

    arguments

    are

    persuasive:

    "[Mahler's]

    ast

    arrangement

    of the

    movements,

    with the

    Eb-major

    ndante before the

    Finale,

    should

    be

    respected,

    if

    only

    for the modulation

    scheme;

    Eb

    major

    s the relative

    of

    C minor, with which the Finale begins, only to decide,

    after

    long preparation,

    on

    A

    minor as

    its

    principal key"

    (Theodor

    W.

    Adorno,

    Mahler:

    A Musical

    Physiognomy,

    trans. Edmund

    Jephcott [Chicago,

    1992];

    orig.

    publ.

    as

    Mahler:

    Eine

    musikalische

    Physiognomik[Frankfurt, 971],

    p.

    85).

    In other

    words,

    Mahler

    originally

    connected

    the

    Andante moderato

    and the finale

    through

    a chain of de-

    scending

    thirds: E-c-a. On the other

    hand,

    one could ar-

    gue

    that,

    although placing

    the

    Andante moderato before

    the scherzo

    disrupts

    this

    tonal

    scheme,

    it also

    emphasizes

    the movement's

    isolation from its

    surroundings.

    t seems

    best to conclude that

    there are

    really

    two versions

    of this

    symphony, dependingon the order n which the innertwo

    movements are

    performed.

    If we can deal

    with the fact

    that almost all the

    Bruckner

    symphonies

    have

    multiple

    versions,

    we

    can

    surely

    live with two

    versions of this one

    Mahler

    symphony.

    50

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  • 8/20/2019 Rotational Form, Teleological Genesis, And Fantasy-Projection in the Slow Movement of Mahler 6th

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    19TH

    CENTURY

    MUSIC

    work.

    Following

    this,

    I

    shall

    methodically

    "zoom

    in"

    more

    closely

    to

    get

    midrange

    views

    of the

    main sections

    of the

    Andante moderato.

    In section

    II I shall move

    on to

    close-range,

    more detailed

    studies

    of its individual

    passages.

    Finally,

    I

    suggest

    in section

    III how

    the

    analyti-

    cal

    methodology developed

    in this article

    may

    be

    applied

    to

    Mahler's other

    works.

    I

    The most

    basic,

    grounding

    feature

    of

    the An-

    dante moderato

    is that

    it

    exemplifies

    the struc-

    tural

    principle

    that

    I call "rotational form."9

    In

    its

    most common

    manifestations

    rotational

    form is a

    cyclical,

    repetitive

    process

    that

    begins

    by

    unfolding

    a

    series of differentiated

    motives

    or

    themes

    as a referential

    statement

    or "first

    rotation"; subsequent

    rotations

    recycle

    and

    re-

    work all

    or most of

    the referential

    statement,

    normally

    retaining

    the

    sequential

    ordering

    of

    the selected musical ideas. In addition, it some-

    times

    happens

    that a brief motivic

    gesture

    or

    hint

    planted

    in an

    early

    rotation

    grows

    larger

    in

    later rotations

    and

    is

    ultimately

    unfurled as

    the

    telos,

    or

    final structural

    goal,

    in the last

    rota-

    tion.

    Thus

    the successive

    rotations

    become

    a

    sort of

    generative

    matrix

    within which

    this

    telos is

    engendered,

    processed,

    nurtured,

    and

    brought

    to

    full

    presence.

    As a result

    of this

    process of "teleological genesis," the rotations

    may

    be

    construed-within

    the aesthetic

    of

    the

    time-as

    growing

    successively

    more "revela-

    tory."

    According

    to

    James

    Hepokoski,

    who

    coined these

    terms,

    "the

    concept

    of

    a

    composi-

    tion as

    gradually

    generative

    towards

    the revela-

    tion of

    a

    higher

    or

    fuller condition

    is character-

    istic

    of the

    modern

    composers,"

    especially

    Mahler,

    Strauss,

    and

    Sibelius.1o

    Rotational

    form is best considered

    an over-

    riding

    structural

    principle,

    an

    Urprinzip

    that

    in

    the instrumental

    genres may

    control

    the

    progress

    of

    movements

    organized

    according

    to

    more familiar

    Formenlehre

    categories

    such

    as

    sonata form

    or rondo.

    Figure

    1

    displays

    in

    ultrasimplified

    form the rotational

    structure

    of

    the first

    three

    movements of

    the Sixth

    Sym-

    phony.

    The

    opening Allegro

    (fig.

    la)

    is

    clearly

    in

    dialogue

    with the

    generic

    expectations

    of

    sonata

    form,

    but

    it is also

    rotational:

    the

    marchlike

    primary

    theme

    (P)

    and

    the

    schwungvoll

    secondary

    theme

    (S)

    are

    put

    through

    four

    rotations,

    which

    correspond

    to

    exposition,

    development,

    recapitulation,

    and

    coda.

    The

    scherzo,

    on

    the other

    hand,

    is

    in

    dialogue with the Scherzo/Trio paradigm (fig.

    lb):

    here Scherzo

    (S)

    and Trio

    (T)

    are

    put

    through

    three rotations.

    In the slow movement

    (fig.

    Ic),

    two

    maximally

    contrasting

    thematic

    blocks

    (A

    and

    B)

    are

    rotated four

    times. The

    final rotation

    achieves

    a

    synthesis

    of the

    two blocks.

    This

    synthesis

    represents

    the telos

    of the

    move-

    ment-its

    structural and

    expressive

    goal-and

    is

    represented

    as

    A/B.

    Figures 2, 3, and 4 display the rotational

    structures

    of these

    movements

    in

    more detail.

    In the scherzo

    (fig.

    2),

    the

    trio material

    appears

    successively

    in F

    major,

    D

    major,

    and

    A

    minor;

    this

    means

    that, although

    each

    rotation

    begins

    in

    A

    minor, only

    Rotation 3 ends

    in the tonic.

    Figure

    311

    shows that

    the

    large-scale

    tonal

    pat-

    9The

    concept

    of

    rotational

    form has

    been elaborated

    at

    some

    length by

    James Hepokoski

    and

    myself.

    See

    James

    Hepokoski,

    Sibelius:

    Symphony

    No.

    5

    (Cambridge,

    1993),

    pp. 23-26; "The Essence of Sibelius: CreationMyths and

    Rotational

    Cycles

    in Luonnotar"

    in The

    Sibelius Com-

    panion,

    ed. Glenda

    Dawn Goss

    (Westport,

    Conn., 1996),

    pp.

    121-46;

    and

    "Rotations,Sketches,

    and

    [Sibelius's]

    Sixth

    Symphony,"

    in Sibelius

    Studies,

    ed.

    Timothy

    L.

    Jackson

    and

    Veijo

    Murtomaki

    (Cambridge,

    2001), pp.

    322-51.

    See

    also

    Warren

    Darcy,

    "The

    Metaphysics

    of Annihilation:

    Wagner,

    Schopenhauer,

    and the

    Ending

    of

    the

    Ring,"

    Mu-

    sic

    Theory Spectrum

    16/1

    (1994),

    1-40;

    and "Bruckner's

    Sonata

    Deformations,"

    in Bruckner

    Studies,

    ed.

    Timothy

    L.

    Jackson

    and

    Paul Hawkshaw

    (Cambridge,

    1997), pp.

    256-77.

    The

    ways

    in which

    rotational

    formintersects

    with

    the sonata paradigm,as well as a groundingof the term

    itself in

    philosophy,

    literary

    theory,

    and

    the natural

    sci-

    ences, may

    be found

    in

    Hepokoski

    and

    Darcy,

    Elements

    of

    Sonata

    Theory:

    Norms,

    Types,

    and

    Deformations

    in the

    Late-Eighteenth-Century

    onata

    (Oxford,

    orthcoming).

    'oHepokoski,Sibelius: Symphony No. 5, p. 26. See also

    Hepokoski,

    "Beethoven

    Reception:

    The

    Symphonic

    Tradi-

    tion" in

    Cambridge History

    of

    Nineteenth-Century

    Mu-

    sic,

    ed.

    Jim

    Samson

    (Cambridge,

    orthcoming),pp.

    424-59.

    For detailed

    treatments

    of

    teleological

    genesis

    in the

    mu-

    sic

    of Sibelius

    and

    Bruckner,

    ee

    Hepokoski,

    "The

    Essence

    of

    Sibelius,"

    pp.

    129-44;

    and

    Darcy,

    "Bruckner'sSonata

    Deformations,"pp.

    259-62.

    "In

    fig.

    3,

    "essential

    expositional

    closure"

    (EEC)

    efers

    to

    the

    moment

    when the

    exposition

    achieves

    its

    essential

    tonal

    closure

    through

    a

    satisfactory perfect

    authentic

    ca-

    dence

    (PAC)-usually

    the

    first such

    cadence-in

    the

    nontonic key (here,F major).The analogous point in the

    recapitulation,

    the first

    satisfactory

    PAC

    in the tonic

    key,

    marks

    the movement's

    achievement

    of "essential

    struc-

    tural closure"

    (ESC).

    n this

    movement, however,

    the reca-

    pitulation

    reaches

    a

    PAC in the nontonic

    key

    of

    D;

    the

    52

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    a.

    Allegro energico,

    ma non

    troppo:

    PS PS PS PS

    P

    =

    Primary

    theme

    (minor mode)

    S = Secondarytheme (majormode)

    b.

    Scherzo:

    ST ST ST

    S

    =

    Scherzo

    (minor

    mode)

    T

    =

    Trio

    (major mode)

    c. Andante moderato:

    AB AB AB

    A/B

    A

    =

    Section

    A

    (major mode)

    B

    =

    Section

    B

    (minor

    mode)

    Figure

    1:

    Rotational structure of first three movements

    (ultrasimplified).

    Rotation 1

    Rotation

    2

    Rotation 3

    Measure: 1

    98 199 273 372 409

    Section: S

    T

    S

    T

    S T

    Key: a F a D a a

    S

    =

    Scherzo

    T

    =

    Trio

    Figure

    2:

    Rotational structure of scherzo

    (moderately

    simplified).

    WARREN

    DARCY

    Mahler's

    Sixth

    Symphony

    tern of the first movement

    roughly

    parallels

    that of the

    scherzo: the

    secondary

    theme

    (alleg-

    edly representing

    Alma

    Mahler) appears

    suc-

    cessively

    in the

    keys

    of

    F, D,

    and

    A.12

    This

    succession

    suggests

    that

    the scherzo

    invites us

    to understand it as

    reopening

    the

    formal/tonal

    issues of the first movement-and

    (most

    im-

    portant) undoing

    its

    "unearned"

    major-mode

    conclusion. In the first

    movement,

    Rotations

    2

    and 3 are

    separated by

    a

    static,

    dreamlike

    epi-

    sode that

    progresses

    toward the distant

    key

    of

    EL

    major.

    Figure

    4

    displays

    the structure of the An-

    dante moderato. To

    emphasize

    the "otherness"

    of this

    movement,

    Mahler cast it in the

    key

    of

    EL

    major,

    the

    tritone

    counterpole

    of the A mi-

    nor that

    governs

    the other three movements.

    As

    shown

    in

    the

    preceding fig.

    3,

    the

    key

    of

    EL

    major

    has its

    origin

    in

    the first

    movement,

    in

    the

    static

    episode

    that

    lies,

    like the

    eye

    of a

    storm,

    at

    the center of its

    development

    section.

    Unlike that of the other

    movements,

    the

    rotational

    process

    of the Andante is not in

    dia-

    logue

    with

    any

    other

    Formenlehre paradigm;

    it

    relies

    exclusively

    on the

    recycling

    of two maxi-

    mally

    differentiated

    thematic

    blocks.13

    Each ro-

    moment thus possesses the rhetoricof an ESC,but not its

    tonal function. Because the

    recapitulation

    closes in a

    nontonic

    key,

    it is a

    nonresolving recapitulation;

    he tonal

    ESC

    is

    deferreduntil well into the coda. For a discussion

    of

    EEC

    and

    ESC,

    see

    James Hepokoski

    and Warren

    Darcy,

    "The Medial

    Caesura and Its Role in the

    Eighteenth-Cen-

    tury

    Sonata

    Exposition,"

    Music

    Theory Spectrum

    19/2

    (1997),

    115-54;

    and

    Hepokoski

    and

    Darcy,

    Elements

    of

    Sonata

    Theory.

    For a discussion of the

    nonresolving

    reca-

    pitulation,

    see

    James Hepokoski,

    "Back and Forth from

    Egmont: Beethoven, Mozart,

    and

    the

    Nonresolving

    Reca-

    pitulation,"

    this

    journal

    (forthcoming).

    12Seen. 1 above. Assuming that it is the trio rather than

    the scherzo

    proper

    that was to

    represent

    the

    "arhythmic

    games

    of the

    two little

    children,"

    t is

    remarkable hat the

    music

    associated

    with

    Mahler's children

    appears

    in

    the

    same

    sequence

    of

    keys

    as that

    representing

    heir mother.

    '3Mahler

    had

    already employed

    this

    procedure

    n

    the slow

    movements of his Third and Fourth

    Symphonies.

    It was of

    course not originalwith him, but was used by Beethoven

    in the slow

    movements of the Fifth and Ninth

    Sympho-

    nies

    (where

    it

    is allied with the

    concept

    of double-varia-

    tion,

    as it is in

    the slow movement of Mahler's

    Fourth),

    and

    by

    Bruckner n

    many

    of his

    Adagios.

    53

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    19TH

    CENTURY

    MUSIC

    Fantasy-

    Rotation

    1

    Rotation

    2

    Projection

    Rotation 3

    Rotation

    4

    I

    I I

    I I I I

    Measure: 1 77 123 178 199 251 286 352 374 444

    Section:

    P

    S

    P

    S

    Episode

    P- P

    S

    P

    S

    EEC

    =

    Rhetorical Tonal

    F: PAC

    ESC

    =

    ESC

    =

    D: PAC A: PAC

    Key:

    @

    F

    @

    d

    ----

    -

    @

    D A

    iI

    -

    II II

    I

    Exposition Development Recapitulation

    Coda

    (nonresolving)

    P

    =

    Primary heme

    S

    =

    Secondary

    heme

    EEC

    =

    essential

    expositional

    closure

    ESC

    =

    essential structural closure

    PAC

    =

    perfect

    authentic cadence

    S=

    tonal motion

    Figure

    3: Rotational structure of first movement

    (moderately simplified).

    Rotation

    1

    Rotation

    2

    Rotation 3

    Rotation 4

    i I I

    I

    -

    I I

    Measure: 1 21 28 56 84 100 115 139 159

    Section:

    Al

    B1

    A2 B2

    FP1

    A3 FP2 B3

    A4/B4

    Mode:

    M

    m

    M

    m M

    M

    m

    M

    Key: g

    a

    --

    E-

    a--

    B-

    A

    =

    Section

    A

    V I

    B

    =

    Section B

    t

    tonic

    FP

    =

    Fantasy-Projection

    major

    major

    S=

    tonal motion

    of

    symphony

    symphony

    Figure

    4:

    Rotational

    structure of Andante moderato

    (moderately

    simplified).

    tation

    except

    the last

    presents

    thematic-block

    A in the major mode followed by thematic-

    block

    B

    in the minor mode. Thus in

    purely

    modal terms each rotation revisits the idea

    of

    major collapsing

    to

    minor,

    the

    Urmotif

    of the

    entire

    symphony.

    Rotation 4

    brings

    us to the

    telos

    or

    structural

    goal

    of the movement: the

    reconciliation or

    synthesis

    of these two

    the-

    matic blocks. Each of

    the first three rotations

    begins

    in the tonic ELand ends off-tonic. The

    last rotation begins off-tonic and is the only

    one to conclude

    in the tonic

    key.

    As a crucial

    supplement

    to the

    EL-major

    ro-

    tational

    narrative,

    this movement also holds

    out the

    key

    of A

    major

    as

    something

    of a "fan-

    tasy-projection." A major, of course, represents

    the tonic

    major

    of the

    symphony,

    the

    unattain-

    able

    key

    of

    Erlasung,

    here

    brought

    forth

    achingly

    as a conscious illusion. This

    A-major

    illusion

    surfaces

    during

    two musical "visions"

    interpo-

    lated into the rotational structure. These are

    abbreviated on

    fig.

    4

    as

    fantasy-projections

    FP1

    and FP2. FP1 occurs in the

    gap

    between Rota-

    tions 2 and

    3,

    while FP2

    separates

    sections A3

    and B3 within Rotation 3. Together, the two

    fantasy-projections

    articulate a dominant-tonic

    progression

    in

    A

    major,

    E

    to A. The first func-

    tions as a dominant

    preparation

    for the second.

    54

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    S

    )

    I I

    a)?

    Io v)

    T

    ~IE

    I I

    00

    -

    2

    ~Q

    I

    da

    0~

    (ilc

    > 0

    I I

    .,

    >l0

    a)t

    0

    r

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    19TH

    CENTURY

    MUSIC

    a.

    Section

    Al,

    mm.

    1-10

    (parallelperiod).

    4-note

    6th leap

    gapped scale

    [t

    fl-

    --

    i turn

    [strings]

    pp•

    Jb

    Anguish

    chord

    [ww.only]

    Sigh

    motive

    S-~

    sf

    -=-czr

    -zz-

    P

    PP

    f

    b. Section Al: Analysis of the parallel period, eliminating phrase expansions.

    Antecedent

    basic idea

    contrasting

    idea

    I

    -I

    I

    (HG

    Consequent

    basic

    idea new

    contrasting

    idea

    A

    I

    I-

    -I

    •1--Q~r-

    ~

    ll? -- 1PAC7

    Example

    5

    in the first

    of the

    Kindertotenlieder.16

    As shown

    in ex.

    5b,

    this musical unit

    readily

    fulfills

    the

    requirements

    for the classical

    parallel period

    as

    defined

    recently by

    William E.

    Caplin;17

    ts

    nor-

    mative

    eight-measure length

    is

    expanded

    to

    nine-and-a-half measures

    largely

    through

    two

    instances of

    rhythmic augmentation

    (mm.

    4

    and

    7). Although

    in

    Eb

    major,

    the theme

    is

    shot

    through with minor-mode implications-the

    Neapolitan

    b2

    in

    m.

    1,

    the

    gbl

    in m.

    3,

    the

    cb2

    n

    m.

    6,

    and

    so

    on. The theme

    peaks

    with a sense

    of

    anguish

    in

    m. 7

    on a drawn-out

    leading

    tone

    16As De La Grange remarks, "Several writers have noted

    that

    [the opening

    theme of the

    Andante

    moderato]

    still

    belongs

    to the world of the Kindertotenlieder." In a note

    he adds:

    "[Hans

    Ferdinand]

    Redlich notes the resemblance

    between

    bar

    9 of the Andante

    and

    the

    first Lied of the

    cycle,

    which

    concludes

    with

    the

    same strain"

    (De

    La

    Grange,

    Gustav

    Mahler,

    III, 828).

    The

    passage

    in

    question

    first occurs

    in

    mm. 14-15 of the Lied at the end of the line

    "als sei kein

    Unglick

    die Nacht

    gescheh'n "

    (as

    if no mis-

    fortune had

    befallen

    in

    the

    night).

    It

    subsequently

    recurs

    associated with the text "Die

    Sonne,

    sie scheinet

    allgemein " (The sun,

    it shines

    on

    everything )

    and "Heil

    sei dem Freudenlicht der Welt " (Hail to the joyous light

    of the

    world ).

    All three vocal lines cadence in D

    major,

    but the third statement is undercut

    by

    a

    subsequent

    col-

    lapse

    to

    D

    minor.

    '7See

    William E.

    Caplin,

    Classical Form: A

    Theory

    of

    For-

    mal Functions

    for

    the Instrumental Music

    of

    Haydn,

    Mozart,

    and

    Beethoven

    (Oxford, 1998),

    pp.

    12-13 and 49-

    55.

    Caplin

    does not use the

    adjective

    "parallel,"

    because

    for him there is no such

    thing

    as a

    "contrasting period";

    a

    period by definition (Caplin's definition) comprises two

    parallel phrases.

    On

    pp.

    55-57

    Caplin

    discusses how

    a

    period

    can be

    expanded

    beyond

    its normative

    eight-mea-

    sure

    length.

    58

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    c. Section

    Al,

    mm. 1-10.

    i i

    (2)

    i

    i

    Measure:

    1

    2 3

    4 5

    UN

    6 7 8

    9

    10

    UN

    -

    UN..

    *

    *

    [

    v

    97]

    [

    v

    7

    ]

    I

    V57 97

    bii6[plus ] 7

    V6_5

    I

    d.

    Section

    Al: Enharmonic

    reinterpretations

    of altered chords.

    Measure:

    1

    7

    17-19

    E V A:

    Eb:

    ~II6

    =

    A:6 Eb: Ger6+

    =

    E:V7

    [+7]

    Example

    5

    (continued)

    WARREN

    DARCY

    Mahler's

    Sixth

    Symphony

    suspended

    over a

    Neapolitan

    sixth

    chord.18

    The

    ensuing

    cadential descent

    unfolds a new

    two-

    note motive that

    suggests

    the old

    topos

    of a

    musical

    sigh (or gasp).

    The

    expressive impact

    of this theme

    lies not

    so much

    in its

    phrase expansions

    or its

    modal

    mixture but in its pronounced sense of musical

    strain as it labors to

    uphold

    its

    major-mode

    premises,

    labors to avoid

    collapsing

    into mi-

    nor. As a

    generalized

    structure,

    the

    parallel pe-

    riod,

    it

    might

    be

    argued,

    was an

    Enlightenment

    product,

    an

    expression

    of balance and

    symme-

    try.

    In

    other

    words,

    it had been

    essentially

    a

    strategy

    of

    containment,

    and Mahler

    may

    have

    imposed

    it

    here

    as

    an

    artificial

    constraint,

    forc-

    ing

    into an

    ironically positive

    mold music that

    is otherwise saturated

    with

    negative

    connota-

    tions. Behind such

    contradictory impulses,

    of

    course,

    lies the

    larger question

    of how facile

    Enlightenment

    symmetries-part

    of the

    long

    tradition of art music-could

    possibly

    be

    still

    appropriate

    or

    even

    casually

    available to the

    vigorously modernizing society

    of

    the

    early

    twentieth

    century.

    Could

    anyone

    in

    1904,

    that

    is,

    still believe

    in

    good

    faith

    in

    the unforced

    simplicity

    and solace of a

    parallel period?

    The

    most telling connection of this theme with the

    first Kindertotenlieder

    song

    lies not

    in

    a mere

    similarity

    of cadence

    figure,

    but in a common

    attempt

    to

    mitigate grief by focusing

    on a fa-

    miliar

    pattern-a

    stock

    phrase

    of comfort-that

    is

    implicitly arraigned

    as false

    (a

    child died in

    the

    night,

    but the

    sun will

    still

    rise in the

    morning).

    Example 5c displays

    the

    linear/harmonic

    structure of the period: note especially how

    Mahler

    prolongs

    the

    anguished

    predominant

    (mm. 7-9)

    that

    supports

    4.

    Example

    5d shows

    how three altered chords in section Al

    may

    be

    enharmonically reinterpreted

    as

    "gateways"

    to

    the

    keys

    of the two later

    fantasy-projections.

    The dominant-seventh chord with lowered fifth

    may

    resolve to the tonic of either EU

    major

    or

    A

    major.

    The

    Neapolitan

    sixth

    chord

    plus leading

    tone in the key of Ebmay resolve as V to the

    tonic of

    A

    major.

    Finally,

    the familiar enhar-

    monic

    equivalency

    between the German

    aug-

    '8Mahler frequently

    uses a chord that combines

    the root-

    position Neapolitan

    with the

    leading

    tone as a dominant

    substitute;

    because it contains

    the

    same tritone as

    the

    dominant-seventh chord

    (4

    and i), it can resolve to the

    tonic chord.

    Here,

    however,

    the

    Neapolitan

    is

    sounded

    in

    first

    inversion,

    and the

    chord

    is

    clearly functioning

    as a

    tense

    predominant,

    not a dominant.

    59

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    19TH

    CENTURY

    MUSIC

    mented-sixth chord and the dominant seventh

    connects the

    keys

    of E1

    major

    and E

    major.

    The

    ensuing

    meditation

    (mm.

    10-20)

    first

    discourses on the four-note gapped-scale frag-

    ment of m.

    1,

    then

    (m. 14) merges

    the

    rising

    sixth of mm. 1 and 5 with the

    rhythm

    of m. 8 to

    produce

    an initial version of what Paul Bekker

    called a

    Wiegenmotif

    or

    "rocking

    motive."'19

    This

    meditation

    passage

    is

    in

    dialogue

    with an

    important generic trope

    that occurs

    frequently

    in

    late-eighteenth-

    and

    nineteenth-century lyri-

    cal slow movements: a

    specially highlighted,

    postcadential, codettalike phrase or Nachsatz

    that follows a theme that has been

    formally

    closed

    off with a structural I:

    PAC.

    Normally

    such a luminous codetta is a moment of

    height-

    ened reverence

    or

    grateful contemplation,

    a

    space

    of

    formally unnecessary, surplus

    blessed-

    ness.

    Paradigmatic examples

    may

    be found in

    the

    slow movements of Beethoven's

    Symphony

    No.

    6, "Pastoral," op.

    68

    (m.

    14),

    and Mendels-

    sohn's Violin Concerto (m. 40), as well as

    Brahms's Schicksalslied

    (m.

    23).20 Here,

    how-

    ever,

    the

    decay

    to the tonic minor

    (m. 18)

    runs

    counter to the

    generic

    model

    in

    very tragic ways.

    I

    turn now to section

    B1,

    the

    contrasting

    second thematic block

    (ex.

    6a).21

    Whereas sec-

    tion Al was

    tonal, periodic, harmonically

    closed, homophonic,

    and

    scored

    largely

    for

    strings,

    section

    B1

    is modal

    (G

    Aeolian),

    aperiodic,

    harmonically

    open, polyphonic,

    and

    scored

    entirely

    for woodwinds. To some ex-

    tent, however,

    the two share the same motivic

    material: the

    English

    horn solo of

    B1 (possibly

    an

    allusion

    to the alte

    Weise

    from Tristan und

    Isolde,

    act III: ex.

    6b) freely

    inverts the

    Kopfmotif

    of

    Al,

    and

    the four-note

    figure

    of

    mm. 24-26

    probably

    derives from the earlier

    gapped

    scale

    fragment.

    In

    these

    respects,

    the

    second

    theme functions as a

    negative image

    of

    the first. Whereas section Al

    represents

    an at-

    tempt

    to

    cope

    with the dark

    negativity

    estab-

    lished in the earlier

    movement(s),

    section

    B1

    strips away the Enlightenment veneer and la-

    ments that minor-mode

    reality

    in a

    purer

    form.

    Example

    6c shows that the

    contrasting

    theme

    is controlled not

    by

    a functional harmonic

    pro-

    gression,

    but

    by

    a

    linear succession of

    6

    parallel

    chords.

    Having completed

    its first

    rotation,

    the cen-

    tral task of what follows is to

    synthesize

    these

    dialectical

    opposites.

    As indicated

    earlier,

    in

    order to accomplish this synthesis, section A

    must be

    opened up,

    its cadences

    undermined,

    and its

    periodic

    structure

    dissolved,

    so

    that

    its

    motivic material

    may

    flow into and

    merge

    with

    the material of section B. In

    addition,

    the re-

    sultant thematic

    synthesis

    is to be led

    away

    from minor toward a

    perfect

    authentic cadence

    in E1

    major-the

    cadence that

    will

    provide

    es-

    sential closure to the movement as a

    whole.22

    This synthesis process takes place in various

    stages.

    The

    first

    step

    occurs

    during

    the medita-

    tion

    portion

    of Rotation

    2,

    section A2

    (mm.

    36ff.;

    ex.

    7a).

    Here

    the

    rising

    chromatic

    line

    leads to a new five-note

    "spotlight"

    motive

    (m.

    39,

    varied in

    m.

    40),

    which Mahler

    gives

    a

    spe-

    cial halo-like

    framing.

    This

    newly interpolated

    passage

    functions

    as

    the

    melodic/harmonic

    telos

    of section

    A2,

    and this music will

    ultimately

    grow

    into the

    grand

    telos of the entire move-

    ment. The

    analysis

    in

    ex. 7b shows

    how it uses

    g2,

    introduced

    during

    the

    consequent phrase

    of

    the

    preceding period,

    as the local

    Kopfton

    of a

    3-line. The

    spotlight passage

    thus

    looks

    to

    the

    future

    by adumbrating

    the

    large-scale

    3-line that

    will

    ultimately

    replace

    the

    5-line

    that had been

    established earlier. Its secure

    perfect

    authentic

    cadence in m.

    42

    unlocks the definitive version

    of the

    subsequent rocking

    motive

    (mm.

    42ff.).

    '9See

    Bekker,

    Gustav

    Mahlers Sinfonien, p.

    220.

    20The Brahms

    passage

    is

    remarkably

    similar

    to

    the

    Mahler:

    it follows a I:PAC

    in the

    same

    key

    and

    begins

    with the

    identical

    i-#--3 (ebl-el-fl)

    melodic ascent. It is difficult to

    believe this

    similarity

    is

    fortuitous, especially

    as an earlier

    passage

    in the Brahms

    (mm.

    1

    1ff.)

    bears a

    striking

    melodic

    similarity

    to Mahler's

    "spotlight"

    motive

    (mm. 39ff.).

    21Del Mar, Floros, and Samuels interpret this G-minor pas-

    sage

    as the

    contrasting

    middle section of the first thematic

    block. For Schmitt it is Section

    B,

    for

    JTiilg

    t is the

    Seitenthema.

    22The

    key

    in which

    a

    movement

    opens

    should be

    regarded

    as a

    provisional

    or

    proposed tonic,

    not

    a

    definitive one.

    The central musical

    process

    of

    any

    movement

    grounded

    in

    the

    major-minor

    tonal

    system may

    be understood as a

    formal

    procedure through

    which a

    given

    tonic is made

    fully present, realized,

    or called forth toward the end of its

    essential

    process.

    The

    specific

    formal

    procedure

    at work

    will

    depend

    on the

    generic

    paradigm

    with which the move-

    ment is in dialogue. Only at the point of essential struc-

    tural closure

    (ESC)

    does the tonic

    proposed

    at the outset of

    the work come into full

    presence

    and attain concrete real-

    ity.

    See

    Hepokoski

    and

    Darcy,

    Elements

    of

    Sonata

    Theory.

    60

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    a. Section

    B1,

    mm.

    21-27, plus

    return of section

    A,

    mm.

    28-29.

    Rocking

    motive

    (m3

    variant)

    sequence of 4-note figure

    I

    21 .

    .[FI.,

    C1.]

    ..

    4-note

    [C1.]l

    FP

    5th leap figure

    =

    [E.h.]

    -

    -x

    p

    espr.B. C.

    -

    "Alte

    Weise"

    (cf.

    Tristan,

    act

    III/i)

    rit.......................................-

    --..

    . .

    a tem

    p

    o

    p

    espres.

    -

    26

    dim.

    _

    [Hn

    [Cl.

    p

    ---

    f

    b. Tristan und Isolde, act

    III, sc. 1:"Die alte ernste Weise."

    ?

    Eh

    -

    - ,

    c. Section

    B1,

    mm. 21-26.

    Eb:

    5

    (=g: 3)

    22 23

    24 25 26

    6

    6 6

    4

    Example

    6

    WARREN

    DARCY

    Mahler's

    Sixth

    Symphony

    After

    a brief introduction

    based on a minor-

    mode

    version of the

    rocking

    motive

    (mm.

    56-

    59),

    section B2-the

    second

    part

    of Rotation

    2-begins by restating

    the alte Weise

    melody

    in

    A

    minor,

    the tonic of the

    symphony

    (mm.

    60ff.

    .23

    This initiates a

    suddenly urgent

    rising-

    fifth

    Steigerung

    through

    the

    keys

    of

    E

    minor

    (m.

    65)

    and B minor

    (m.

    72).

    As shown

    in ex.

    8,

    part

    2 of this section

    (mm. 65-71)-the

    E-mi-

    nor

    passage-introduces

    a new four-note "striv-

    ing"

    motive

    (m.

    66),

    and terminates in a

    plagal

    cadence whose

    final tonic

    (m. 71) collapses

    from

    E

    major

    to minor. Most

    important,

    how-

    ever,

    part

    3

    (mm. 72-83) produces

    a

    fortissimo

    statement of the

    "spotlight"

    motive from

    section

    A2

    (mm. 74ff.).

    This is the idea sin-

    gled out,

    we

    recall,

    for

    growth

    toward the

    movement's later telos and

    here,

    significantly,

    it

    brings

    ideas from both thematic

    blocks in

    3Measure

    56

    begins

    Del Mar's

    First

    Episode

    and Floros's

    Section B,

    both

    of which extend to m. 99 and

    comprise

    both my B2 and FP1. My B2 is equivalent to Samuels's

    first B section and

    Jiilg'sSeitenthemenvariante.

    Schmitt

    labels mm. 56-64 as

    B'

    and

    interprets

    mm. 65-83 as the

    first

    Entwicklungsteil.

    61

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    (new)

    Pt. 2 Striving motive

    Vln.,

    FL.] 65

    pP-

    f

    sempre

    f

    E minor

    e:

    iv

    Plagal

    resolution

    Spotlight motive (from A2)

    "Alte Weise" (from B1 and B2)

    Envisaged

    synthesis

    ,

    Striving fromB2) Sigh

    motive

    (from

    Al)

    ~iI i

    [St[Vrn.].

    1

    P

    i

    i

    i

    sf

    7[Vn.

    +

    Ob.]

    [Ob.

    +

    F1.]

    [Vln

    Bass: C B

    Dominant

    preparation

    for

    E

    Example

    8: Section

    B2,

    parts

    2 and

    3,

    mm. 65-82.

    WARREN

    DARCY

    Mahler's

    Sixth

    Symphony

    Example

    9

    reproduces

    the

    opening

    of the

    first

    fantasy-projection

    (mm. 84ff.).

    With its

    horn fanfares and

    impressionistic scoring

    (including

    cowbells,

    harp,

    and

    celesta),

    this

    pas-

    sage provides

    a classic instance of a "Durch-

    bruch" or

    "breakthrough,"

    a

    formal,

    category

    devised by Adorno to describe Mahlerian pas-

    sages

    that

    appear

    to "break into" the musical

    work from

    outside,

    sundering

    its immanent

    formal

    logic.26

    As

    an

    analytical concept,

    break-

    through

    has been treated more

    rigorously by

    Bernd

    Sponheuer

    and

    James

    Hepokoski.27

    The

    intended effect here

    certainly

    seems to be that

    of a

    suspended

    "vision of

    paradise,"

    especially

    since the

    key

    of

    E

    major

    suggests

    the similar

    "celestial visions" in the last two movements

    of the Fourth

    Symphony.

    But

    here,

    as

    a

    con-

    scious

    illusion,

    a mere

    fantasy,

    it

    is foreor-

    26See,

    for

    example, Adorno, Mahler, pp. 5-6, 10-13,

    41-44.

    The term

    Durchbruch was used earlier

    by

    Paul Bekker to

    describe

    the

    E-major

    passage

    under discussion

    here,

    as well

    as the

    E-major

    tutti

    eruption

    in the slow movement of the

    Fourth

    Symphony.

    See

    Bekker,

    Gustav

    Mahlers Sinfonien,

    p.

    221.

    27See

    Sponheuer, Logik

    des

    Zerfalls, pp.

    51-89;

    and

    James

    Hepokoski, "Fiery-Pulsed

    Libertine or Domestic Hero?

    Strauss's Don

    Juan

    Reinvestigated,"

    in

    Richard Strauss:

    New

    Perspectives

    on

    the

    Composer

    and His

    Work,

    ed.

    Bryan

    Gilliam

    (Durham, 1992),

    pp.

    135-75.

    One further treatment of the

    topic

    might

    be

    mentioned,

    if

    only

    to set it aside as

    misguided.

    In

    "'Breakthrough'

    as

    Critique

    of Form: The Finale of Mahler's First

    Symphony,"

    this

    journal

    20

    (1996), 125-43, James

    Buhler combines a

    fundamentally

    flawed

    understanding

    of the

    concept

    of

    the

    Durchbruch

    with an

    analysis

    of

    the finale of Mahler's

    First

    Symphony

    that is

    both naive and

    indefensible.

    Ac-

    cording

    to

    Buhler,

    "unless it is formulated in terms inter-

    nal to sonata

    form,

    breakthrough

    must be

    posited

    as an

    alternative,

    transcendent formal

    procedure

    intruding

    on

    sonata form from outside"

    (p. 135).

    But Buhler

    misses the

    point, namely,

    that

    breakthrough

    as

    a

    deformational tech-

    nique emphatically

    does constitute a

    transcendent

    critique

    of

    sonata form.

    In the

    finale of his First

    Symphony

    Mahler

    employs

    a

    D-major

    breakthrough

    in order to

    overthrow

    and transcend a "failed" F-minor

    sonata.

    In

    order

    to

    rescue

    breakthrough

    from the

    stigma

    of a transcendent

    critique,

    however,

    Buhler

    posits

    a

    D-major

    "breakthrough

    sonata,"

    whose

    development overlaps

    with the

    recapitulation

    of

    the F-minor sonata. It would be charitable

    to

    pass

    over

    this fictive construction in

    silence were it not that this

    interpretation

    is

    typical

    of

    analysts

    for whom

    generic

    tra-

    dition

    counts as

    nothing;

    such an ad hoc

    coupling

    of two

    sonatas would have been

    unthinkable to a late-nineteenth-

    century symphonic composer. Still,

    one

    might

    note

    that,

    although

    Mahler's

    breakthrough

    is

    transcendent

    in

    terms

    of the

    finale,

    it is immanent in

    terms of the

    symphony

    as

    a

    whole-not,

    perhaps,

    in terms of sonata form

    (why

    should

    it

    be?),

    but in terms of the

    thematic/tonal

    processes

    set in

    motion

    by

    the first movement. This is

    the

    point

    of the

    analeptic

    references in the finale: to make sure

    that the

    listener

    "gets

    it"

    (although apparently

    Buhler did

    not).

    63

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    84

    "Striving

    motive"

    E.h.

    f

    BsC.

    12

    3

    5

    Hn.

    4

    _•

    ==

    f

    b

    Bs.

    C_ _

    __

    I

    I

    7

    a3.

    y -----

    a 3

    Timp.

    p

    im

    Orchester

    v

    xvK vv •

    Cowbells

    o____

    -----a___

    _

    Trgl.

    Cym.

    P

    Example

    9:

    First

    Fantasy-Projection,

    mm.

    84-88.

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    84

    Harp

    (several)

    _ _ _ _ ______

    Pentatonicism:

    E,

    F#,

    G#, B,

    C#

    cel.

    -,.,,•,,•'3

    iI

    3:•

    1

    t•

    c.f.

    "Nature"

    motive from

    Das

    Rheingold,

    Scene

    1

    mit Damfe

    s

    r~/

    I

    I

    get.

    pizz

    mit

    Dampfer

    arto

    Vn.

    I

    #f~

    m Dm

    s

    1

    I

    1 -I J t

    I I

    "

    JI t

    I

    "

    piz

    I

    I

    --t

    n. II

    pzg

    pizz.

    dim

    V

    .ppf

    "zz

    Vca.

    -

    sempref dim. f

    ppz

    Example

    9

    (continued)

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    19TH

    CENTURY

    MUSIC

    a.

    Section

    A3,

    mm.

    100-05:

    Antecedent

    of

    period.

    I

    -_

    .

    _

    _

    _>

    _

    Vln]

    10

    .

    ....

    •.. ,

    _

    [Ww.]

    pp

    molto

    espr.

    [Hn.]

    b.

    Section

    A3,

    mm.

    108-13:

    Meditation.

    "Rheingold "

    Rising

    chromatic ine

    -

    No

    spotlight

    108

    [Vln

    +Fl

    ]

    espr.

    B

    _s

    B

    Bass:

    Bb

    Example

    10

    dained to

    collapse,

    which it does

    through

    a

    striking

    chromatic

    disintegration.

    But one

    may

    read

    the intertextual

    allusions

    even

    more

    broadly.

    For

    indeed,

    Mahler seems

    unmistakably

    to

    have

    planted

    numerous refer-

    ences to

    well-established

    passages,

    techniques,

    and

    harmonic

    effects

    in

    the

    Wagner

    canon. The

    pentatonicism

    and

    E-major

    tonality

    almost cer-

    tainly

    refer also to

    the "Forest

    Murmurs" scene

    of

    Siegfried,

    act

    II,

    while

    the

    rising

    arpeggiated

    figures

    strongly

    resemble

    the Nature

    motive

    from Das Rheingold, scene 1. Coupled with

    the

    trumpet's

    "rocking" motive,

    the

    entire tex-

    ture

    suggests

    a return

    to

    infancy,

    a

    regression

    to the

    womb of

    nature similar to

    that

    experi-

    enced

    by

    both

    Siegfried

    and

    Brtinnhilde

    in

    their

    E-major

    scenes.

    Like the child's vision

    of

    heaven

    that

    closes

    Mahler's Fourth

    Symphony,

    how-

    ever,

    this is a

    lost

    paradise

    that can now

    exist

    only

    in the

    imagination.

    Following this interpolation, the rotational

    process

    resumes with

    Rotation 3

    (m. 100)

    and

    the

    third

    appearance

    of section

    A,

    the

    opening

    of

    which

    is shown in

    ex. 10a.

    During

    the

    paral-

    lel

    period

    a

    new

    countermelody

    continues the

    large-scale

    arpeggiation by

    establishing

    bbz2

    s a

    local

    Kopfton

    (m. 100).

    The

    ensuing

    meditation

    (mm.

    108-14)

    is

    notable

    for the

    telling

    absence

    of

    the

    "spotlight" telos-even,

    one

    might say,

    its suppression-(see ex. 10b); instead, the ris-

    ing

    chromatic line

    leads to a

    prolonged

    domi-

    nant

    (mm.

    112-14),

    over

    which

    Mahler-surely

    intentionally-quotes

    the

    cry

    of

    Wagner's

    Rhinedaughters

    bewailing

    the loss

    of

    their

    gold.28

    The hermeneutic

    significance

    of

    this

    quotation seems clear: once again, a lament for

    a

    paradise lost,

    most

    immediately here,

    the

    loss of the

    delusional

    hope

    that had been

    ear-

    lier

    provided by

    the

    expanding

    "spotlight."

    This

    unresolved

    dominant-its nonreso-

    lution

    (that is,

    its crucial

    moment of

    opening-

    up,

    unlocking

    its

    closure)-effects

    the

    liquida-

    tion of the meditation

    section. In

    addition,

    the

    subsequent deceptive

    resolution

    to C

    major

    (m.

    115) unlocks the second fantasy-projection.29

    In this

    key appears

    a

    major-mode,

    "clarified"

    version of section

    B2,

    part

    2. The

    airy

    purity

    of

    this

    C-major

    passage-enhanced

    through

    its

    or-

    chestration-suggests

    a wish to

    escape

    to a

    fully

    positive, shadowless,

    and

    redemptive key;

    and

    28The idea

    first occurs in Das

    Rheingold,

    sc.

    1,

    as

    the

    Rhinedaughters praise

    the

    gold

    to the words

    "Rheingold

    Rheingold " (Schirmer vocal score p. 33, mm. 5-6). The

    motive

    comprises

    a

    half-diminished

    leading-tone

    seventh

    chord

    resolving

    to a tonic triad over

    a tonic

    pedal;

    Mahler

    places

    it over

    a dominant

    pedal

    and

    resolves it to a

    V7

    chord. In sc. 4

    (p. 216,

    mm.

    4-5)

    the

    sisters

    sing

    a

    chro-

    matically

    altered

    version of this

    motive

    as

    they

    lament

    the loss of their

    gold.

    29This second

    fantasy-projection

    is a

    separate

    section

    for

    Schmitt,

    who

    interprets

    it as

    Episode

    2,

    and

    Jiilg,

    who

    labels it

    simply

    Misterioso;

    both

    note the

    division into

    C-

    major

    and

    A-major

    subsections. For Del

    Mar, Floros,

    and

    Samuels,

    these are

    but the first two

    subsections of a

    longer

    unit, Del Mar's Episode 2 (extending to m. 172), Floros's

    Section

    Bi

    (to

    m.

    159),

    and

    Samuels's second

    B-Section

    (to

    m.

    145).

    Samuels's formal diagram, incidentally, gives

    the

    C

    major at m.

    115 as C# major

    (and

    the C# minor at m.

    146

    as C minor).

    66

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    pp

    sempre

    zart

    ----------------

    [Vln.]

    P~

    '

    -

    -

    _

    ,4n.8

    ,,

    7 7

    '-

    4

    -J-

    -

    p

    , -i i

    -

    '

    -..

    .

    t

    -

    [Hn.

    '

    Rocking

    motive

    [=

    return to

    infancy]

    ."~

    -Pp

    morendo

    131

    .

    .

    [Vln.]

    S[Vla.]

    -

    A:IV#

    I

    Wagnerian

    plagal

    cadence

    Example

    11:

    Second

    Fantasy-Projection,

    part

    2,

    mm. 124-38.

    WARREN

    DARCY

    Mahler's

    Sixth

    Symphony

    indeed this

    key

    is soon

    produced

    (ex.

    11).

    In

    m.

    124

    the music locks onto

    A

    major,

    the unat-

    tainable

    parallel major

    of

    the

    symphony.

    In

    this

    context,

    A

    major

    functions as the ultimate

    symbol

    of

    potential positivity-the sonority

    of

    a

    hoped-for

    Erlosung-but

    within this

    E5

    movement it is

    perceptible

    only

    as its tonal

    counterpole,

    subordinated a far tritone

    away

    from

    the Andante moderato's

    governing

    tonic.

    High-register

    divisi violins evoke the Grail

    realm from

    Lohengrin,

    and

    they, together

    with

    the shimmer of celesta and harp, provide a back-

    ground

    for the

    return-to-infancy

    "rocking"

    mo-

    tive

    (horns,

    mm.

    124ff.).

    The

    episode

    is sealed

    off with a

    characteristically

    Wagnerian plagal

    cadence

    (mm. 135-37),

    one in which the

    sub-

    dominant

    inflects to minor.

    Wagner

    had often

    employed

    this

    plagal

    cadence as a

    gesture

    of

    valediction

    (as

    for instance at the conclusions

    of

    G6tterdimmerung,

    Tristan

    und

    Isolde,

    and

    the revised version of Der fliegende Holldnder).

    Its semiotic

    significance

    here is

    unmistakable:

    it

    represents

    a farewell to the

    beautiful but

    illusory

    notion of

    paradise

    and

    the

    possibility

    of a

    cleansing, redemptive

    release out of the

    everyday

    world. And

    indeed,

    as

    if

    to confirm

    this vision as a mere

    illusion,

    the

    fragile

    A

    major collapses

    to minor in m. 139 as the

    alte

    Weise

    melody

    resumes Rotation 3

    in

    the tonic

    minor of the symphony, A minor.

    Example

    12a

    shows the second

    part

    of sec-

    tion B3.

    Following

    a

    jolting

    tonal

    shift from

    A

    minor to

    C#

    minor

    (m.

    146),

    the

    alte

    Weise

    appears

    in low

    strings,

    beneath an earlier

    countermelody.

    The intertextual

    significance

    of

    C#

    minor becomes clear at m.

    148,

    where

    Mahler introduces

    nothing

    less

    than the

    Gotterddmmerung

    motive from the

    Ring,

    and

    in

    precisely

    the

    same tonal context

    (Neapoli-

    tan of

    C#)

    as it had

    appeared

    in

    Das

    Rheingold,

    sc. 4-the moment when Erda

    prophesies

    the

    end of all

    things.30

    In

    addition,

    the conflation of

    Neapolitan

    (D

    major)

    and dominant

    (G#) pro-

    duces a

    transposition

    of

    Wagner's

    "Curse" har-

    mony.31 Launched by such nihilistic Wagne-

    rian

    allusions,

    Mahler's music moves

    toward

    F#

    as

    dominant of

    B

    major (mm.

    154ff.),

    em-

    ploying

    the

    parallel

    6-chord

    technique

    shown

    in ex.

    12b,

    and all the time

    evincing

    massive

    strain in its

    effort to

    regain

    the lost

    major

    mode.

    The

    ensuing

    Rotation 4

    (ex.

    13,

    mm.

    158ff.)

    30This

    occurs at p. 194, mm. 8-9 of the Schirmer vocal

    score,

    at Erda's

    words

    "Ein

    diistrer

    Tag

    dimmert

    den

    G6ttern"

    (A gloomy day

    dawns for the

    gods).

    The

    G6tterdaimmerung

    motive

    is

    a

    melodic inversion of the

    Nature/Erda

    motive that

    immediately precedes

    it

    (mm.

    4-

    7),

    and which

    accompanies

    the

    goddess's prophecy

    "Alles

    was

    ist,

    endet "

    (Everything

    that

    is,

    ends ).

    31The

    Curse

    harmony

    first

    enters

    in

    Das

    Rheingold,

    sc. 4

    as Alberich

    lays

    his curse on

    the

    ring

    of

    power (Schirmer

    vocal score

    p. 175,

    m.

    12);

    oriented around B

    minor,

    it

    superimposes

    a

    C-major Neapolitan

    triad over an

    F#

    domi-

    nant

    pedal.

    The

    harmony

    resolves to a dominant-ninth

    chord, but in Gatterdiimmerung, act II, sc. 3 (Hagen's ral-

    lying

    of the

    Gibichung vassals)

    it

    plays

    a

    nonfunctional,

    referential

    role,

    freed from all

    obligations

    to resolve

    (see

    the

    Schirmer

    vocal

    score of

    Gtterdiammerung,

    p. 151,

    mm.

    12ff.).

    67

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    19TH

    CENTURY

    MUSIC

    a. Section

    B3,

    part2,

    mm.

    146-57.

    Striving

    motive

    (augmentation)

    Gotterdidmmerung

    motive

    Countermelody from B2, Pt. 2 ("Alles was ist, endet ") Striving (aug.)

    8

    II

    I

    8

    --------------------------------------------------------------------------------

    i.f

    "

    4-note motive

    "Alte Weise" Curse

    harmony

    [G#/D

    TT]

    Striving

    8

    ------------loco

    sf

    152 >>>->

    s$ sempre

    ,Ff

    56

    > >

    '

    -

    '

    i•'

    _•..•_.

    '-

    >

    >>'

    if >

    [Timp.]

    B: V Dominant

    preparation

    b. Section

    B3, part 2,

    mm. 147-59.

    8

    147

    148 149 150 151 152

    153 154 159

    5-- 6 6

    6 6 6 6 6 6

    5ths

    c#:i

    B:

    ii

    V

    I

    Example

    12

    begins

    with a varied version of the antecedent

    phrase

    of the first theme's

    parallel period-

    now

    in

    the

    key

    of

    B

    major

    instead

    of its accus-

    tomed

    Eb.

    The familiar A

    melody begins

    in

    the

    bass and

    migrates

    to the middle

    register,

    while

    the

    countermelody

    heard earlier in section A3

    68

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    Countermelody

    from

    A3

    Antecedent

    sempre

    158

    fs

    f

    IB:

    HG

    SS

    ~~~>

    S--BH

    Theme

    begins

    in bass

    Theme in middle

    register

    Consequent

    (liquidated)

    Rocking

    Gapped

    scale Turn

    Capped

    scale

    •"

    '

    I

    -~zz~jf

    1zz

    -

    f

    >zz-

    ~

    jfl

    sem ref

    Z

    z~'f I

    II

    f

    r_ f7

    z

    Chorale

    from first movement

    (middle

    register)

    "Rheingold "

    "Rheingold "

    Liquidation

    of

    Consequent

    fC

    s u

    p

    fca

    no

    -

    fi

    j

    16

    _

    ,,_.4

    C

    cannot

    i', ,

    Consequent

    cannot

    cadence in B major fS

    Example

    13:

    Section

    A4,

    mm. 158-72:

    Liquidation

    of

    period.

    WARREN

    DARCY

    Mahler's

    Sixth

    Symphony

    now

    establishes

    f#2

    (5

    of B

    major)

    as the local

    Kopfton (m.

    158).

    The

    consequent phrase (m.

    163),

    however, proves

    unable

    to

    cadence,

    and

    the

    line descends

    only

    as far as

    c#2, effectively

    liquidating

    both

    the

    period

    and

    the

    expected

    completion

    of its related

    5-line.32

    We have

    now arrived at the

    doorstep

    of the

    central

    event of

    the movement.

    The

    existing

    B

    major

    is

    reinterpreted

    as CL

    m.

    172),

    and

    Mahler

    now

    pushes

    the music forward into the

    movement's

    tonic

    Ebmajor (m.

    173)

    where,

    at

    32As

    the voice-leading graph in ex. 15 shows, the line

    reaches B:

    3

    (d#2)

    at

    m.

    165,

    but

    proves

    unable

    to descend

    further within this

    register;

    the return

    of the

    first-move-

    ment chorale

    in the middle

    register provokes

    a

    neighbor-

    ing

    motion with e2

    rather than a descent

    to c#2. The

    A

    s

    therefore shifted

    into the bass

    (D#)

    at m.

    167,

    where

    it

    resolves

    to

    i (C#).

    This out-of-register

    resolution, however,

    is

    obviously

    unsatisfactory

    with

    regard

    to the

    5-line that

    began

    on

    f#2,

    and it

    proves

    unable to

    descend further.

    As a

    consequence,

    the

    3

    is shifted into a

    higher register (d#3)

    at

    m.

    168,

    where

    in the context of the

    Rheingold

    chords it

    resolves twice to

    2

    (c#3)before giving up the attempt to

    descend

    to

    i

    altogether.

    In mm.

    172-73

    it rises chromati-

    cally to

    g3,

    completing

    the

    long

    ascent

    to

    the

    global

    Kopfton

    (Ek:

    3).

    69

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    19TH

    CENTURY

    MUSIC

    Grand

    Telos [Thematic synthesis

    of A

    and B]

    Alte

    Weise"

    Spotlight motive

    "Alte Weise"

    Eb:

    Kopfton

    173

    iaf?

    -e

    __ - . __

    -T

    __

    sempref

    -

    ==-

    =

    m. 76

    = m. 77

    con 8

    a

    Eb: 5ths

    "Rheingold "

    Striving

    motive

    Sigh

    motive

    Rheingold

    8 --------------------------------

    =m

    m

    80

    m

    =1m.78--

    =1m.79..gIJ[

    _

    -

    f_

    i

    "o-4

    _d

    =

    mm.

    81-82 = m. 112

    -

    "--

    -o-----

    -V

    Structual dominant

    2

    1 Closure

    of

    Urlinie

    88

    =m. 113

    f

    __

    I Structural tonic

    plagally

    undermined

    Example

    14:

    Section

    A4/B4:

    Grand

    telos,

    mm.

    173-85.

    the climax of the

    movement,

    the

    arpeggiation

    to the

    global Kopfton

    g3

    is

    completed

    (m. 173)

    and the

    "grand spotlight"

    telos

    fully

    unfurled

    (ex. 14).33Above all, this peak experience brings

    with it a

    transposition

    to

    EL

    of the telos-music

    from section B2

    (m.

    176

    =

    m.

    76,

    etc.),

    thus

    effecting

    the

    long-sought synthesis

    of the two

    thematic blocks.

    Verbal

    metaphors

    seem flat

    and

    inadequate

    for such a

    moment,

    but

    they

    might

    include the observation

    that this

    synthe-

    sis on

    one level of

    understanding might repre-

    sent a more

    productive

    way

    of

    coming

    to terms

    with the

    charged

    negativity

    of Mahler's

    present-

    day experience than attempting to force its con-

    tradictions into

    outmoded structural

    symme-

    tries-the

    parallel period-or dreaming

    about

    an

    imaginary utopia

    that

    the modern world has

    rendered inaccessible. For this

    synthesis

    to suc-

    ceed,

    however-or to

    give

    at least the

    tempo-

    rary

    illusion of success-it must be led

    to a

    grand

    authentic cadence in the

    home

    key,

    thus

    bringing

    EL

    major

    into

    full tonic

    presence.

    Now

    in

    fact,

    does resolve to at m. 185, thus

    clos-

    ing

    the

    Ursatz at the

    background

    level. On the

    other

    hand,

    at the

    foreground

    level the final

    33Asn ex. 8, the metaphoricalspotlightcontinues to shine

    throughout

    mm.

    176-77,

    even

    though

    in

    those measures

    the

    spotlight

    motive

    proper

    is succeeded or

    replaced by

    the alte Weise.

    70

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    tonic is

    plagally

    undermined, seriously

    under-

    cutting

    this

    all-important

    moment of

    essential

    structural

    closure. The second half of the

    graph

    in ex. 15 shows that Mahler manipulates the

    musical narrative

    as

    if to

    seek

    a

    "second chance"

    at this

    cadence

    (m.

    187),

    but once

    again,

    unal-

    loyed

    closure is unattainable. This time the

    cadential

    6

    chord is

    reinterpreted

    as a conso-

    nant

    64

    (m.

    188);

    a

    progression by descending

    thirds

    (Eb-C-Ab)34

    eads to the minor subdomi-

    nant and a

    transposition

    to EL f the

    Wagnerian

    plagal

    cadence

    (mm.

    190ff.),

    followed

    by

    shat-

    tered fragments of the fantasy-projections. This

    crumbling-away

    of

    the

    long-awaited

    PAC as

    well as its

    replacement by

    a

    plagal

    cadence is to

    be

    understood as a final

    negative signal.

    Not

    only

    is

    a

    lasting

    redemptive space (A

    major)

    unattainable,

    but even the more limited com-

    forts of EL

    major

    are

    subject

    to

    decay.

    "Even

    this is denied

    you,"

    the music seems to

    say.

    The

    movement fades

    away

    in a mood of conso-

    lation and valediction.

    III

    In what

    precedes

    I have

    attempted

    to show

    how a formal

    analysis

    based on the

    concepts

    of

    rotational form

    and

    teleological

    genesis

    can

    pro-

    vide not

    only

    more

    supple

    models to

    perceive

    the

    underlying

    musical

    logic

    at hand but

    also a

    solid

    conceptual

    foundation

    that invites us to

    move beyond the notes to a defensible

    hermeneutic

    interpretation.

    Here

    analysis

    and

    hermeneutics

    may merge,

    and at the most en-

    gaging

    moments it

    may

    be difficult to tell

    the

    one from

    the other. Nor are these ideas

    limited

    to

    the slow

    movement of the Sixth

    Symphony.

    On

    the

    contrary,

    these new formal

    concepts

    may

    be

    productively

    applied

    to

    many

    of

    Mahler's

    other

    symphonic

    movements,

    includ-

    ing those also in dialogue with more familiar

    patterns.3s

    Many

    traditional

    analyses

    of Mahler

    have

    sought

    to

    shoehorn his

    highly

    complex

    struc-

    tures into

    preformatted

    Formenlehre

    catego-

    ries-sonata

    form, sonata-rondo,

    scherzo/trio,

    double

    variations,

    ternary, strophic,

    and so

    on-

    even while

    suggesting

    that such

    forms

    might

    have been treated freely. But this is a strategy

    that

    produces

    an immediate and inevitable

    neu-

    tralizing effect,

    one that

    simultaneously

    reduces

    the

    processes

    of

    extraordinarily

    complex

    and

    subtle

    compositions

    to all-too-familiar

    formal

    categories

    and

    suggests,

    once the

    shopworn

    la-

    bels are

    applied,

    that one need not

    inquire

    much

    further

    into

    questions

    of formal

    layout

    and

    the

    expressive

    significance

    of deviations

    from

    com-

    monly held expectations. More fruitful would

    be a

    pluralistic

    approach

    that focuses

    on

    the

    interaction

    of traditional formal schemes

    (and

    the

    ways

    they

    are

    subjected

    to various

    types

    of

    deformations)

    with rotational

    principles,

    po-

    tentially

    much enhanced

    also

    by

    the

    voice-lead-

    ing

    guidelines

    of Schenkerian

    analysis.

    For,

    certainly, understanding

    the

    flexible

    principles

    of rotational

    form, including

    their

    capacity to incorporate surprising turns and ex-

    pressive

    interpolations

    and

    their

    ability

    to en-

    courage

    creative

    adaptations

    of

    fossilized

    forms,

    takes us a

    long way

    into

    these

    pieces.

    It

    per-

    mits

    us to ask different

    formal

    questions

    of

    them,

    helping

    us to

    understand them from

    a

    fresh,

    hopefully

    more

    adequate

    perspective.

    An

    analysis

    of

    the first

    movement of the Fourth

    Symphony,

    for

    instance,

    that

    attempts

    to deal

    with the extraordinary postexpositional tonic

    return of the

    primary

    theme

    (and

    concomitant

    closure of the

    exposition

    in the tonic

    key)

    merely by

    consigning

    the

    piece

    to the

    category

    of

    sonata-rondo36

    reveals itself

    as

    resolutely

    antihistorical

    and insensitive to

    the

    generic

    tra-

    dition

    within which the

    work was

    originally

    composed.

    For

    one

    thing,

    notwithstanding

    a

    handful of

    extravagant

    claims to

    the

    contrary,

    there is no historical reason to think that so-

    nata-rondo

    form was

    ever an

    option

    for

    a

    sym-

    phonic

    first movement.

    More

    likely,

    over

    the

    years

    such claims

    have

    emerged

    from shallow

    or

    underconsidered

    reflections on these

    forms.

    This is

    hardly

    the

    place

    to

    begin

    an

    analysis

    of

    yet

    another

    movement

    by

    Mahler,

    but one

    WARREN

    DARCY

    Mahler's

    Sixth

    Symphony

    34Werecall

    that

    Mahler connects the Andante moderato

    with

    the finale

    through

    a

    similar chain of

    descending

    hirds;

    see n. 5 above.

    35The

    present

    author is

    currently

    working

    on a

    large-scale

    project

    that

    examines how rotational form

    operates

    on

    multiple

    structural evels in the

    Mahler

    symphonies.

    36This s the stance taken by Raymond Knappin his ar-

    ticle

    "Suffering

    Children:

    Perspectives

    on

    Innocence and

    Vulnerability

    in Mahler'sFourth

    Symphony,"

    this

    journal

    22

    (1999),

    233-67.

    71

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    B:5

    43E(3)

    (3)