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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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
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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.
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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
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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.
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19TH
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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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8/20/2019 Rotational Form, Teleological Genesis, And Fantasy-Projection in the Slow Movement of Mahler 6th
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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.
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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.
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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.
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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.
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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).
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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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8/20/2019 Rotational Form, Teleological Genesis, And Fantasy-Projection in the Slow Movement of Mahler 6th
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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).
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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.).
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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
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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).
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19TH
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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.
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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.
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B:5
43E(3)
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