Cohn 2004
Cohn 2004
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S
       omething is wrong with Figure 1:1
                                          Š ² ÐÐÐ −¦ ÐÐÐ
                                          Ý Ð             Ð
Figure 1
This paper develops an argument first sketched on pages 21 and 22 of my article “Maximally
Smooth Cycles, Hexatonic Systems, and the Analysis of Late-Romantic Triadic Music,” Music
Analysis 15 (1996): 9–40. Between 1998 and 2003, versions of “Uncanny Resemblances” were
presented at Harvard, Yale, Ohio State, Louisiana State, and the universities of Cincinnati,
Connecticut, Wisconsin, Illiniois, and California at Santa Barbara. Questions and comments from
Alain Frogley and Nicholas Temperley, as well as from Berthold Hoeckner and Yonatan Malin of
my home department, were particularly useful.
    1. Figure 1 should not be interpreted as pitch- or order-specific. It represents a harmonic rela-
tionship that can occur in either order, and at any of twelve transpositions and with any enhar-
monic substitutions.
    2. Adolf Bernhard Marx, Die Lehre von der Musikalische Komposition, Praktisch Theoretisch,
9th ed., rev. and ed. Hugo Riemann (Leipzig: Breitkopf und Härtel, 1887), 1:525; Lee A. Roth-
farb, ed. and trans., Ernst Kurth: Selected Writings (Cambridge: Cambridge University Press,
1991), 124; Susan Youens, Retracing a Winter’s Journey: Schubert’s “Winterreise” (Ithaca, N.Y.:
Cornell University Press, 1991), 161; Carl Dahlhaus, “Zur chromatischen Technik Carlo
Gesualdos,” Analecta musicologica 4 (1967): 79; Theodor Adorno, Moments musicaux: Neu
gedruckte Aufsätze 1926–1962 (Frankfurt am Main: Suhrkamp, 1964), 32; and Ernö Lendvai, The
    Something else is wrong: the progression lacks a name. The only histori-
cally plausible candidate, Riemann’s Gegenkleinterzwechsel, rests on an obsolete
theoretical basis;3 moreover, both the term and its English translation, antino-
mic minor third exchange, are cumbersome. No other label, whether gener-
ated systematically or ad hoc, has achieved anything close to standardization.
    This essay explores the relationship between the discursive and affective
problems: the difficulty of talking about the progression and of conceptualiz-
ing it, the sense of spontaneous disorientation that the progression engenders
and the nameless sensations stimulated by that sense. The harmonic pairing
represented in Figure 1 is shown to acquire its signifying power not only by
convention, but also in part from a homology between the properties of un-
canniness (as a reaction to expectations of how the world works) and those of
the harmonic progression (as a reaction to expectations of how triadic music
goes). The title of this essay, then, refers to resemblances that both co-relate
individual musical representations of the uncanny, and bind those representa-
tions to the uncanny (as a unitary phenomenon or sensation).
    Although the triadic pairing has no name, we need to provide it with a
John Doe for consistency of reference. In more systematic writings about
chromatic harmony under the “neo-Riemannian” rubric, I have referred to the
type of progression exemplified in Figure 1 as a hexatonic pole.4 For the pur-
poses of this essay, this label may be regarded as arbitrary, or theoretically neu-
tral. The paper is intended not as a contribution to neo-Riemannian theory
per se, but rather as a historical and psychological study of a harmonic phe-
nomenon that has elsewhere engaged me from a more systematic perspective.
    Few documents from the early decades of the twentieth century have
drawn as much scholarly attention as Sigmund Freud’s essay on the uncanny,
Workshop of Bartók and Kodály (Budapest: Editio Musica, 1983), 707. The Adorno quote in this
context is perhaps not quite sanctioned: he is referring to the more general phenomenon of sud-
den third-related modulations from a major to a minor key. Yet two of the three examples that he
offers, from Schubert’s B  Sonata and E  Trio, contain the progression represented in Figure 1.
    3. On this term and its position in Riemann’s conceptual world, see David Kopp, Chromatic
Transformations in Nineteenth-Century Music (Cambridge and New York: Cambridge University
Press, 2002), 72–73.
    4. I introduced the term in “Maximally Smooth Cycles.” The cycles of the title are derived by
arranging the twenty-four major and minor triads such that two triads are adjacent if they are re-
lated by semitonal displacement of a single pitch class. This arrangement yields four cycles, each
containing three major and three minor triads. The triads of Figure 1 are included in a cyclic or-
dering of E major, E minor, C major, C minor, A  major, and G  minor. The cycles are hexatonic
because their constituent triads draw from a fund of six pitch classes; the source hexachord for the
Figure 1 cycle is {C, D /E , E, G, G  /A , B/C }. E major and C minor are hexatonic poles
because they lack common pitches, partitioning the source hexachord into two complementary
triads. E minor is likewise the hexatonic pole of A  major, and C major of A  minor. See also my
“As Wonderful as Star Clusters: Instruments for Gazing at Tonality in Schubert,” 19th-Century
Music 22 (1999): 213–32.
    5. Sigmund Freud, “The ‘Uncanny,’ ” in An Infantile Neurosis and Other Works, vol. 17
(1917–1919) of The Standard Edition of the Complete Psychological Works of Sigmund Freud, ed.
James Strachey (London: Hogarth, 1955), 217–52.
    6. Nicholas Royle, The Uncanny (New York: Routledge, 2003), 12–13.
    7. Terry Castle, The Female Thermometer: Eighteenth-Century Culture and the Invention of the
Uncanny (New York: Oxford University Press, 1995), 4.
    8. Royle, The Uncanny, 13.
    9. Carolyn Abbate, Unsung Voices: Opera and Musical Narrative in the Nineteenth Century
(Princeton: Princeton University Press, 1991), 56; Lawrence Kramer, Music as Cultural Practice,
1800–1900 (Berkeley and Los Angeles: University of California Press, 1990), 203–9; and David
Schwarz, Listening Subjects: Music, Psychoanalysis, Culture (Durham, N.C.: Duke University Press,
1997), 66–72.
    10. Michael Cherlin, “Schoenberg and Das Unheimliche: Spectres of Tonality,” Journal of
Musicology 11 (1993): 357–73; and Nicholas Marston, “Schubert’s Homecoming,” Journal of the
Royal Musical Association 125 (2000): 248–70.
death’s head, skeletons, and similar things” (p. 15). These phenomena induce
“thoughts of latent animatedness”: they literally “embody” human forms that
lack the potential for human action.
    Freud imports Jentsch’s roster of stimuli and symptoms wholesale, includ-
ing some items that Freud accuses his predecessor of overemphasizing.
Specifically, the explanatory power that Jentsch attributes to undecidability
makes Freud particularly uncomfortable.13 Freud nonetheless declares near
the end of his essay that “an uncanny effect is often and easily produced when
the distinction between imagination and reality is effaced, as when something
that we have hitherto regarded as imaginary appears before us in reality.”14
Wax figures, epileptics, and automata find their way into Freud’s roster of un-
canny stimuli. So, too, does Jentsch’s prototypical case: “Many people experi-
ence the feeling in the highest degree in relation to death and dead bodies, to
the return of the dead, and to spirits and ghosts.”15 Freud embellishes this
idea with some supplementary examples of his own: “Dismembered limbs,
a severed head, a hand cut off at the wrist, . . . feet which dance by themselves
. . . —all these have something peculiarly uncanny about them, especially
when, as in the last instance, they prove capable of independent activity in
addition.”16
    Freud ultimately judges those themes that he appropriates from Jentsch to
be more symptomatic than central. Disorientation and undecidability may be
common components of the uncanny, but Freud argues that these and similar
qualities are not sufficient in themselves.17 Similarly, uncanniness is often iden-
tified with the gruesome, frightful, and terrible. For Freud, these qualities
“overlay” more fundamental characteristics.18 Nor does uncanniness reduce
(in the words of Anthony Vidler) to “the parapsychological—the magical, the
hallucinatory, the mystical, and the supernatural . . . ; nor was it present in
everything that appeared strange, weird, grotesque, or fantastic,” although it
shares qualities with all of these phenomena.19
    Freud identifies the component that is central to his own account through
an etymological tour de force that runs rings around the meager observations
with which Jentsch began his more modest essay. Jentsch believes that unheim-
lich denotes the unfamiliar, tout court, because he only noticed its antonymic
relation to heimlich. What he misses is that heimlich also refers to that which is
private, secret, clandestine. In regard to this latter set of meanings, unheimlich
is an intensification: the clandestine is transformed into something so interior,
so familiar, that it is hidden from the viewing eye and the inquiring mind.
Freud’s essay famously formulates the uncanny as “that class of the frightening
which leads back to what is known of old and long familiar.”20
    The coincidence of the alien and the hyper-familiar, in this single word, re-
flects the psychological proximity between the apparent comfort and orienta-
tion afforded by the bourgeois home, and the terrifying, disorienting, and
grotesque, which lie close at hand, if just out of sight. Vidler refers to “a dis-
quieting slippage between what seems homely and what is definitively un-
homely,”21 highlighting the continuum on which the heimlich and unheimlich
coexist, and the difficulty of discerning the moment when the border that sep-
arates them is traversed. Here is where Jentsch’s notions of undecidability,
doubt, and paradox have a very particular role to play in Freud’s vision of the
psychological uncanny. They will come to play a quite similar role in the vision
that we will develop of the musical uncanny.
    We will return to these themes quite explicitly in the final part of this paper;
in the interim it will be sufficient to rest them on a nail on the wall, and experi-
ence an occasional shivering anxiety as their strings sound sympathetically
when touched by the breeze or by the wings of a bee.
Example 1 Carlo Gesualdo, “Moro Lasso,” opening and closing measures (Sämtliche madri-
gale für fünf stimmen, bk. 6 [Hamburg: Ugrino, 1957], 74, 77)
(a) (b)
$
    Š              ô                                   ½ ð        ¼
                                                                          ð ²Ł Ð                     ²Ð
                                                            ahi,          mi       dà   mor     -   te!
    Š  ²Ð    ¦Ð                                     −ð Ł Ł ² ð                ð             ð ²ð Ð
                        ²Ð        ¦ Ðý
         Mo - ro,       las   -   so, al                    mi dà mor                   -           te!
    Š  ²Ð                                              ð
               Ð        Ð          ð                        Ł Ł Ð                            Ð       Ð
         Mo - ro,       las   -   so, al             ahi, mi dà mor                     -           te!
    Š  ²Ð              ²Ð        ¦ð                    Ð          ¦ð          Ł Ł Ð                 Ð
               Ð
    +    Mo - ro,       las   -   so, al            - te,          ahi,        mi dà    mor     -   te!
 Ý                                                   −ð ð ¦ Ð                                Ð
%  ²Ð        ¦Ð        Ð          Ð                                                                 Ð
         Mo - ro,       las   -   so, al             mi     dà    mor                   -           te!
Freud associate with the uncanny, and that they spontaneously evoke the same
in knowledgeable listeners.
    We begin with the depiction of “proto-uncanny” phenomena in music of
the seventeenth and eighteenth centuries. Example 1 presents the opening
and closing of the Gesualdo death madrigal “Moro lasso.” The opening
(Ex. 1a) famously juxtaposes C major with its A-minor pole; the progression
is transposed and reversed, as C minor to E major, just prior to the final
A-major cadence (Ex. 1b). Example 2, from Gesualdo’s “Languisce al fin,”
joins two phrases whose texts refer to death’s affliction. The cadence of the
first phrase juxtaposes C minor and E major; the echoing pole in the following
phrase, B  minor to D major, transposes the cadential progression down a
whole step. The four chords together exhaust the stock of available pitch
classes under equal temperament, a feature also found in some of the chrono-
logically later excerpts treated below. Example 3 presents the moment when
Orfeo banishes Euridice netherward with a backward glance. Monteverdi sets
this moment by juxtaposing C minor and E major across a long silence.22
    22. Daniel Chua writes of this passage that “magic, monody, and vision collide with such
force that they repel each other as a kind of epistemic fissure between the ancient and modern
world” (Absolute Music and the Construction of Meaning [New York: Cambridge University Press,
1999], 48–49).
Example 2 Carlo Gesualdo, “Languisce al fin,” mm. 13–15 (Sämtliche madrigale für fünf
stimmen, bk. 5 [Hamburg: Ugrino, 1958], 45–46)
                      14
$                  Ł −ðý               Ł ¦Ð                              ô
    Š
               L’af - flig      -    ge sı̀
    Š              Ł ðý                Ł Ð                ¼ Ł −ðý                 Ł ¦ð
               L’af - flig      -    ge sı̀,                   l’af-flig   -       ge sı̀
    ŠŁ ð                   ð ð ²Ð                         ¼
                                                               Ł − ðý             Ł ð
        L’af-flig      -        ge        sı̀,                 l’af-flig   -       ge sı̀
                           ÿ             ½
% Š+                                             ð        Ð              ð ²ð
                                                L’af - flig        -      ge            sı̀
Example 3 Claudio Monteverdi, Orfeo, act 4, mm. 131–34 (from ex. 6 in Chua, Absolute Music
and the Construction of Meaning, 49)
 Ý                                                                                               ð               ð                   ð
% − Ð                             Ð                                             ð
                                                                                                                                     −
                                                                                                 ²
          Qui canta Orfeo al suono del clavic[embono]
          Viola da braccio basso, e un chitar[one].
$133 ½                ¹ ² Ł Ł Ł ¦ Ł                           ð                           Ł Ł                                    ½
  Š−                                                                                                        Ł             Ł
                               ma qual          E - clissi      ohi          -           mè v’os - cu               -    ra?
 Ý ½                  ð                               ð                      ð
% −                    ²
                                                                                                             Ð
                                                                                                             ²
                                        [O sweetest eyes, I see you now, I see . . .
                                        but what eclipse obscures your light?]
    It is difficult to make the case that any of these instances are uncanny. In
Gesualdo’s madrigals, death is experienced rather than witnessed; its uncanny
potential is masked by anguish. And even with the Monteverdi, with its magi-
cal actions and animate dead, there yawn two vast chasms that must be negoti-
ated before we arrive at the properly unheimlich. One is epistemic: literary
historians have suggested that uncanniness was an eighteenth-century “inven-
tion” that responded to both the shedding of theological certitudes and the
Example 4 Joseph Haydn, The Creation, “2. Arie (Uriel) mit Chor. Nun schwanden vor dem
heiligen Strahle,” mm. 48–56 ([Frankfurt: C. F. Peters, n.d.], 11)
$48 ²²² ý                  Ł ²Ł ð                    ½                                       ÿ                           ÿ
  Š ð
           keimt           em - por.
                                                Łl Łl l         Łl ¦ Łl Łl Łl Łl l ¦ Łl Łl Łl
 ݲ²                                    Ł ¼ ¹         Ł  Ł ¼ ¹             Łl     Ł Łl
% ² Ł ¼ Ł ¼                                    [_              [_             [_       [[
$52 ²²²                    ÿ
                                           Allegro moderato
                                            ½ ¼ ¦ Ł ¦ ðý −Ł ¦ Ł −Ł ¦ Ł ¦ Ł ý 
  Š                                                                              −Ł Ł ¦ ð
                                                                        Er - starrt       ent - flieht der Höl-len - gei - ster Schaar,
Example 5 Richard Wagner, Tristan und Isolde, Death motive, mm. 318–24 (vocal score [New
York: G. Schirmer, 1906, 1934], 16)
318
I.
            − [ð                   Ł ý                     \
                                                                                                    ¦ð Ł 
         Š −−                      Ł ð Ł                    ¦ ðý              Ł ¼ ¼
                                                                                                        Ł ¦ð Ł Ł ð
                     Tod       -    ge - weih-tes              Haupt!                                Tod - ge - weih-tes      Herz!
the dying Scarpia over a G -major triad, then ushers him to the burning fires
with its hexatonic pole, D minor.
    We now survey five examples that feature Jentsch’s prototypical uncanny
stimuli in full bloom. In all of these examples, agents pass from life to death, or
from death to life, or hover in between. The dead behave as living subjects or
are treated as living objects.
    Example 9, from act 1 of Parsifal, marks the moment when Titurel,
“bowed down with age and stricken,” first sings “from a vaulted niche . . . , as
if from a tomb.” Thus perched between life and death, Titurel asks two ques-
tions, separated by a long silence. “Shall I still see the Grail once again and
Example 6 Richard Wagner, Die Walküre, act 2, scene 2, mm. 942–46 (vocal score [New York:
G. Schirmer, 1904], 127)
    942      [              ¦Ð                      \          Ð
    Ý −− ½ ¼ ¦ Ł
        −                                   ¦ ð ¼q ¹ Ł                   ð ½
                                                     
                    das     En      -       de         das     En    -   de!
                             ¦ Łl
       −       ÿ          ²¦ ¦ ŁŁŁ ½             ÿq    Ý
                                                                 Ð
                                                             −¦ ÐÐ
                                                                         ÐÐ
                                                                          Ð
    Š −−                          ¼
!                            [[l                              \\
                             ¦Ł
    Ý −−
        −      ÿ          ²¦ ¦ ŁŁŁ ½
                                  ¼               ÿq
                                                               Ð         Ð
                                                                     Ð          Ð
Example 7 Edvard Grieg, Peer Gynt Suite: Åse’s death, mm. 25–28 (Samlede verker, vol. 18
[Frankfurt: C. F. Peters, 1988], 138)
           A
    $25 ²² Ł − Ł ð          ¦ Ł −Ł ð         ¦ Ł −Ł ð       Ł Ł Łý
                                                                   ¹
      Š
!            \                               \\
        ²² ² ð    ð         ²ð          ð    ²ð     ð      ²ð   Łý ¹
      Š
             \                               \\
              Ł Ł ð          Ł Ł ð             Ł Ł Ł Ł ¦ Ł ð ² Łý
      š ²²                                                         ¹
             \                               \\
              ð   ð          ð          ð      ð    ð       ð   Łý
      Ý ²²                                                         ¹
    %        \                               \\
live? Must I die, unguided by the savior?” Wagner has arranged the syntax chi-
astically: life and death directly flank the caesura; light and darkness stand at
one degree removed from the center. The E-major triad is life and light, its
C -minor pole death and darkness.27
    Example 10, the final chromatic event of Parsifal, marks the moment of
Kundry’s death, the opera’s final stage action. Wagner’s stage direction asks
something impossible from the actress portraying Kundry: that she gaze in-
tensely at Parsifal while simultaneously projecting to the audience that her soul
   27. For a compelling discussion of the grotesque aspects of this scene, see Carolyn Abbate, In
Search of Opera (Princeton: Princeton University Press, 2001), 131–34.
Example 8 Giacomo Puccini, Tosca, act 2, Scarpia’s death, mm. 1030–35 ([Frankfurt: Ricordi,
1966], 219)
T.       Š             ¼        ¹ ²Ł Ł Ł Ł                               Ł Ł ¼ ½                                    ½
                                                                                                                               Ł Ł Ł
                                      Ti sof - fo - ca il                san-gue?                                             Muo-ri dan -
3 rantolando 3
S.
         Ý                        ¼         ½                            ½                               ¼
                
                a - iu - to!                                                           Muo-io!
            −Ð
         Ý −− ÐÐ
                                                                      ¦ Ððýý                                 Ł − ð ðð ýý       ð         Ł
                                            −Ð                        ¦ ÐÐ                                           ðý                   ŁŁ ¹
                                                                                                                                           
     !                                poco
                                                               \\
         Ý
                                            −Ð                           Ð                                          Ð
                      −Ð                                            ¦Ł
                                                               ¦Ł
has departed from her body. “Gazing up at Parsifal, Kundry sinks slowly to the
ground in front of him, de-souled.” (De-souled is a neologism; in Wagner’s ar-
chaic term, entseelt, the first syllable is a prefix that denotes an externalization,
a removal, perhaps a “leaching away.”) Wagner imagines her as a dead woman
with the hypnotic gaze of the hyper-living. Initially, Wagner envisioned this
event with a more explicitly uncanny component: in the 1877 poem, Titurel,
having just attended his own funeral, raises himself up from his coffin and
performs a blessing.28
   28. Martin Geck and Egon Voss, eds., Dokumente zur Entstehung und ersten Aufführung des
Bühnenweihfestspiels Parsifal, vol. 30 of Richard Wagner Sämtliche Werke (Mainz: B. Schott,
1970), 134.
    Example 9 Richard Wagner, Parsifal, act 1, mm. 1250–57 (vocal score [New York:
    G. Schirmer, 1962], 76)
    1250
    Ý −− − ¼ Ł Ł Ł
        −                                                                ð                      Ł Ł −Ł Ł ¹ Ł
                                                                                                              Ł Ł ¹                                                                                                      ÿq
                                                                                                                                                                                                  (Langes Schweigen.)
                        Soll ich den                                Gral                    heut’ noch er - schau’n                                 und le - ben?
                                                                                                                                                                                                     [Timp.]
    Ý −− −
        −                             ÿ                                                         ÿ                                                      ÿ                                             Ł ¹ ŁŁŁŁ ¼q
                                                                                                                                                                                                                         3
    1254
    Ý −− − ¼ −ð −−Ł                                                                                        −Ł ý Ł Ł ¦Ł
        −                                                      −ð                               Ł ¹ Ł −Ł Ł            ½
                                                                                                    
                        Muss              ich                   ster - ben,                                            vom Ret - ter                      un - ge - lei - tet?
    Ý −− −                           ÿ                                                          ÿ                                                     ÿ                                   ½                             Ł ¹ ŁŁŁ
        −
                                                                                                                                                                                                                                                          3
    Example 10 Richard Wagner, Parsifal, act 3, mm. 1123–27 (vocal score [New York:
    G. Schirmer, 1962], 276–77)
    1123       n
      −− −− ÐÐÐÐ ýýýý                                                                                                                                      ¦ ¦¦ ÐÐÐÐ ýýýý
                                                                                                                                      77777
                                                                                                                                                                                                                                              7777
                                                                                                                                              ŁŁ                                                                                                     ŁŁ
                                                                                                                7777
                                                                                                                       ŁŁŁ                                                                                               777   ŁŁ
                                                                             7777
                                                                                    ŁŁ                                                         ŁŁ
                                                                                                                                                                                                            7777
                                                                                                                                                                                                                   ŁŁ                                 Ł
                                                  777
7777
    Š                                                   ŁŁŁ                                                                                                                                          ŁŁ                         Ł
                              7777
                                     ŁŁ                                              Ł
                                                                                                                                                                            777
                                                                                                                                                                                  ¦ ŁŁ                Ł             Ł
                 ¼                    Ł                                                                                                                          ¼                ¦Ł
!                       3
                        Ł   ŁŁ
                                     cresc.
                                          3
                                                                                                                                                               [                                     dim.
    Ý −− −   Ł   Ł ŁŁŁŁŁ ŁŁ    ¼
        − ŁŁŁ ŁŁ                                                                                                                                               ý                                             ¦ Ðý
                                                                                                                                                       ¦¦ ÐÐÐ ýý
                                                                                                                                                                                                                                          Ł
                                                                                                                                                                                                                                7777777
    1125                                                                                                                                            Ł        Ł                           Ł                                                Ł
                 − ÐÐÐ ýýý                                                                                                        Ł                                                      ŁŁ
                                                                                                                             00 ŁŁŁ                          ŁŁ
                             7777
       −                             ŁŁ                                                                                                             ŁŁ                                                                                    Ł
    Š − −−
                                          7777
                 −Ð ý                            ŁŁ
                                                              777
                                      Ł                             ŁŁ
                                                                                    7777
                                                  Ł                                        ŁŁ
                                                                                                    7777
                     ¼                                               Ł                      Ł              ŁŁ
                                                                                                            Ł
!                \                                                                                                               più
                                                                                                                                    \
                                                                                                                                   ŁŁ ŁŁŁ
                                                                                                                                        777
                                                                                                                                      7777
                                                              −Ð ý
                                                                                                                                                                   7777
                                                                                                                                                                                                                                          Łð ý
                                                                                                                                                                                                                                77777
                                                                                                                                                                                                                        ŁŠ
                                                                                                                                                                  7777
        − −−ÐÐÐ ýýý                                                                                                                             Ł
                                                                                                                                 Ł                                                                                 Ł                       ðý
    Example 11 Richard Wagner, Götterdämmerung, act 3, scene 3, mm. 1158–64 (vocal score
    [New York : G. Schirmer, 1904], 314)
            Bedeutend langsamer.
       − ŁŁ ¹ ¼
    1158                                         
          ð           ²ð            ² ððð     ŁŁŁ                                 Łl ² ð ý
    Š                      ¼ ¹ Ł                Ł                       ²
                                                                         Ł lŁ  Łý
             dim.              marcato
!      − ðð         ²²² ðððð
                                     \
                                        Ł
                                                                              [
    Ý − ðð                          ² ŁŁŁ          ð ýý                                          Ð
                                         ðýý                                     Ð
    1161
            BRÜNNH.
    Š                 ÿ                      ÿ                       ÿ                       ÿ
           8va
                                                  3
                                             Ł                                                       3
      ² ðð ýý             ² ŁŁ    ² ŁŁ ýý Ł Ł ² ŁŁ ² ŁŁ ² ŁŁ ýý ² ŁŁ ŁŁ ýý Ł Ł ý 
    Š Ð                               Ł Ł                                  Ł ² Ł ý ŁŁ ŁŁ Ł Ł
!     \\                                                                                 Ł ²Ł
    Ý                 Ð                      Ð                         Ð                Ð
      ² ÐÐÐ                       ² ÐÐÐ                  ² ÐÐ                 ² ÐÐ
    Example 12 Richard Strauss, Salome, final scene, R349 through four measures after R350
    (vocal score [London: Boosey and Hawkes, 1943], 197–98)
                  349
      ²² ²                                   ¦Ł ¦Ł ý ¦Ł ¦Ł       Ð
    Š ² ²² ² ¼ ŁŁ Ł ¦ Ł ² Ł                                      ¼ ¹ ¦Ł ¦Ł ð                  ðŁ          ¼ ¦Ł
                Ł                                     
!                       Und
                 Ł ¦ ¦ ŁŁ ¦ Ł
                              das Ge - heim-nis        der Lie              -                 be                  ist
    Ý ²²²² ²² ðð Ł ¦ Ł ² ŁŁ ¦ ¦ ÐÐ                               ÐÐ                           ŁŁ ² Ł ¦ Ł ¦ ² ŁŁ
                                                                                                ¦ ¦ ŁŁ ² ŁŁ ¦ ¦ ŁŁ
          ² ð        ¦Ł Ł ¦Ð                                      Ð                            Ł ²Ł
                                   350
      ² ² ² ¦Ð
    Š ² ²² ²                         ¦Ł ¦Ł Ł ¦Ł          ²Ð           Ł ¼ ¼ −Ł                                   ¼ ½
                                                                                        −Ð             −Ł
!                    grö      -         sser als das Ge - heim - nis           des     To         -    des
        29. Charles Rosen, Arnold Schoenberg (New York: Viking, 1975; reprint, Chicago: University
    of Chicago Press, 1996), 94. For more on this episode, see Walter Bailey, Programmatic Elements
    in the Works of Schoenberg (Ann Arbor, Mich.: UMI Research Press, 1984), 151–57. The uncanny
    qualities of the String Trio are treated by Michael Cherlin, from a slightly different perspective, in
    “Memory and Rhetorical Trope in Schoenberg’s String Trio,” this Journal 51 (1998): 559–602.
Example 13 Arnold Schoenberg, String Trio, Op. 45, opening measures (Arnold Schönberg
Sämtliche Werke [Mainz: B. Schott’s Söhnes; Vienna: Universal Edition AG, 1982])
Teil 1
                     ä = 60
                         quasi Triller
              $                                                 simile
  Geige           Š 00 ¦ ð                   ²ð
                       \\                                      ¦ð          ²ð
                         quasi Triller
                                                               ^[\\
                                                                simile
 Bratsche         š 00
                       ¦ð                ¦ð  −ð          −ð
                       \\                ^[\\ }
                         }           }       ¦ žn         ž}                     ž}
Violoncello
               Ý0 ¾    ¾ ž (Š Ł) ¾ Ł ž Ł ¾ (Š ) l ¦ Ł
              % 0 ²Ł               l n l              ¦Ł     Ł
                    \\
    Example 14 Gustav Mahler, Second Symphony (“Resurrection”), first movement, mm. 43–49
    (reduction prepared from Sämtliche Werke [Vienna: Internationalen Gustav Mahler Gesellschaft
    and Universal Edition, 1970], 7–8)
    43
       − ðý                 Ł           Ł        Ł ¼      Ł Ł Ł Ł Ł Ł Ł Ł Ł Ł ŁŁ ŁŁ
    Š − − ÐÐ                            ÐÐ                    ÐÐ              ŁŁ Ð
!          Ð                             Ð                     Ð
                   3     3
    Ý −− Ł ¦ Ł Ł Ł Ł Ł Ł ¹ ¼                                             
                                        Ł ¦ Ł Ł Ł Ł Ł Ł ¹ ¼ Ł ¦ Ł Ł Ł Ł Ł Ł ¹ ¼ −Ł −Ł Ł −Ł Ł Ł
        −
    (46)                                                                                    ²Ł ²Ł
       −               Ł ŁŁ         Ł
                                      ¹ Ł Ł Ł                       ¦ Ł ²Ł ²Ł ¦ Ł ¦ Ł
    Š −− ¼             Ł Ð          Ł   Ł Ł Ł ²¦¦ ððð ýý                ²¦ ŁŁ ¦ Ł ²¦ ŁŁ ² ŁŁ ŁŁ
!                                                                              ²Ł
    Ý −− −Ł ¹ ¼ −Ł −Ł Ł −Ł Ł Ł Ł ¹ ¼                 ¦ Ł ²Ł Ł ²Ł Ł Ł Ł ¼        ¦ Ł ²Ł Ł ²Ł Ł Ł Ł ¼
        −
    Example 15 Franz Schubert, Piano Sonata D. 960, first movement, mm. 115–17b (Neue aus-
    gabe Sämtlicher Werke [Kassel: Bärenreiter, 1996])
        115                                                 rit.            q
            −                                                    ŁŁ ¹ ¦ ŁŁ ¼
         Š − ¦ Łðð Ł ý ² Ł ŁŁŁ ¹    ŁŁ ¹ ðð ýý
                                     Ł             ¼ ²¦² ŁŁŁl ¹     Łl Ł
    !         \\ð                        ný               l       ŁŁl ŁŁq
         Ý −− ð              ŁŁ ¹    ŁŁ ¹ ðð ý     ¼
                                                     ²¦² ŁŁŁ ¹       Ł ¹ ²Ł ¼
                                                                  
Example 16 Jean Sibelius, Seventh Symphony, opening measures (reduction prepared from
Copenhagen and Leipzig: Wilhelm Hansen, 1925)
       Adagio
    Š ./                 ÿ                                ÿ                 ÿ
!                                   Ł Ł −−− ÐÐÐ
    Ý/         ¹ Ł Ł Ł Ł Ł ŁŁ Ł Ł Ł    
     .     ŁŁŁ            
            \                         \ [_
      Allegretto äý = 96
     ²2                  ný
    Š 4 Ł ý ²Ł Ł ²Ł              Ł ý ²Ł ²Ł Ł ý ¦ Ł           Łm
                                                     ²Ł
!          \             n
         ²¦ ŁŁŁ ýýý ²² ŁŁŁ ýýý   ŁŁ ýý    ²² ŁŁŁ ýýý    ²² ŁŁŁm
    ݲ2                           Łð ýý
      4                            ðý
                                   m
music.”33 Breath and soul are related constructs; in Greek, they are united in a
single word, pneuma. Kramer hears this moment perhaps as an Entatmung to
parallel Kundry’s Entseelung.
   Example 16 is from the opening of Sibelius’s Seventh Symphony, which
also lacks a program. The conductor Colin Davis “described the opening
C-major scale. . . . ‘It’s what happens at the end of the scale that’s so horrible,’
he continued. ‘It hits a chord of A flat minor, which is really horrifying. . . . It’s
as though something has been born. It opens its eyes on that chord, and it
experiences a shock.’ ”34
   Example 17 opens the Forlane from Ravel’s Tombeau de Couperin. Abbate
writes that “tombeaux are uncanny . . . because they summon a more nebu-
lous object that is heard despite having been entombed. There is a dead
Forlane within Ravel’s Forlane; its hand moves the piece from within, but it is
not Couperin’s Forlane.”35 Abbate attributes the grotesquerie of the Forlane
to “the obliviousness with which a dance rhythm wears its harmonic distor-
tion,”36 citing the dissonances that besmirch the triads in the opening phrase.
This section lays the groundwork for the claim that the association of hexa-
tonic poles with uncanny phenomena is not an arbitrary system of significa-
tion. Hexatonic poles in some sense embody the very features that they are
called upon by composers to depict, and that they spontaneously evoke in
knowledgeable listeners. The constituents of hexatonic poles both are and are
not triads; they both are and are not consonant. In terms of music-theoretic
writings of Freud’s contemporaries, their status as entities is both real and
imaginary, both alive and dead. Their secure status as perceptually fused uni-
ties, tonverschmelzt Zusammenhängen, is chimerical: these harmonic entities
are disquietingly susceptible to disintegration.
    One might initially think that such equivocation could only be prompted
by an anxiety disorder. After all, both of the harmonies in Figure 1 manifestly
are consonant triads, one major, the other minor; gauged by the traditional
metric of root-distance, they exemplify a species of third (or mediant) rela-
tion.37 True; but this is how they practice their deceptive art. Their putative
consonance is compromised in their juxtaposition. To establish this claim,
we will explore it now in three distinct contexts, which together exhaust the
possibilities.
    First, consider a situation where E major is established as a tonic. The most
popular approach in recent American harmony textbooks derives the C-minor
triad via double modal mixture.38 The interchangeability of modes sharing a
tonic, long an element of musical practice, was first theorized in terms of
modal mixture in Schenker’s Harmonielehre (1906). In the case at hand, the
C-minor triad is diatonic to neither mode that takes E as tonic, and so mixture
    37. For a recent treatment in this vein, see Kopp, Chromatic Transformations.
    38. The term originates with Felix Salzer’s Structural Hearing: Tonal Coherence in Music
([New York: Dover, 1962], 1:180), but the process was described much earlier in Arnold
Schoenberg’s Harmonielehre (1922). Schoenberg writes that, to derive A  minor from C major,
“the tones . . . e  and a  were introduced through the minor subdominant,” and then the C  is
derived via “minor-for-major substitution” (Theory of Harmony, trans. Roy E. Carter [Berkeley
and Los Angeles: University of California Press, 1978], 386).
must be applied twice. Figure 2 summarizes the derivation. The E-major triad
(a) is initially integrated into a diatonic scale (b) for which that triad is
presumed to serve as tonic. A first stage of mixture converts that scale to its
parallel minor (c), from which a C-major triad is extracted (d) and labeled as
VI (although some symbol systems will use  VI in this particular case). That
triad is temporarily reinterpreted as a tonic (e) that sprouts its own diatonic
scale (f). A second stage of mixture converts that scale to its parallel minor (g),
from which the target C-minor triad (h) is extracted and labeled as  vi  (or
 vi ), with the two flanking accidentals representing the two stages of modal
mixture.39
     The label is descriptively adequate, in the sense that it uniquely specifies the
target object. But as Figure 2 shows, the derivation freely interchanges triads
and scales as if they were unproblematically identical, and thus partly relies on
a sleight of hand. Accordingly, it should not be a surprise to discover that the
label implies problematic claims about the phenomenological status and dis-
positional behavior of the individual pitch classes. Flatward mixtures character-
istically resolve downward or, more weakly, neutralize the pressure on their
constituent pitches to discharge upward. The first stage of mixture accurately
captures the disposition of C as it presses downward toward B. But the second
stage of mixture falsely suggests that the E , rather than behaving as a D lead-
ing tone, is similarly disposed toward a flatward fate. Figure 3 captures these
dual dispositions by enharmonically renotating the “C-minor” chord. If we
hear both of the individual voices as diatonic semitones, then we are hearing
the notated major sixth {E , C} as a diminished seventh {D, C}. That is, we
are hearing it as a dissonance, not as a consonance.
     If C minor is heard as tonic, as in Figure 4, the above analysis is replicated
inversely. The C-minor triad (a) is initially integrated into a diatonic scale (b)
for which that triad is presumed to serve as tonic. A first stage of mixture
converts that scale to its parallel major (c), from which an E-minor triad is
extracted (d) and labeled as  iii (or  iii). That triad is temporarily reinterpreted
as a tonic (e) that sprouts its own diatonic scale (f ). A second stage of mixture
converts that scale to its parallel major (g), from which the target E-major
triad (h) is extracted and labeled as  III (or  III ). The problematic pitch class
here is G . Its notation as a 5̂ degree implies a sharpward pressure, yet it is dis-
posed to discharge flatward, hence an A  representing the flattened sixth de-
gree. Again what is notated as a consonant major sixth, {B, G }, is perceived as
a dissonant diminished seventh, {B, A }, as in Figure 5.
                                                             Š ² ÐÐÐ           Ð
                                                                           ²× ÐÐ
                                                             Figure 3 Enharmonic renotation of C minor
Example 18 Richard Strauss, Salome, opening measures (vocal score [London: Boosey and
Hawkes, 1943])
  ²²         ²Ł                           ² Ł ¦ Łý ¦ Ł ¦ ð                     ¦Ð
Š ² ² ² ¼ÐÐÐ     ð      Ł Ł ² Ł ² Ł Łý                 
                                                                          ð −Łý Ł
             Wie schön
                                   
                          ist die Prin-zess - in Sa - lo - me                 heu - te   Nacht
    A single paradox underlies both cases. In general, tonal listeners process in-
tervals, where possible, by accommodating their components to a single dia-
tonic collection. The general principle dictates that, by default, a semitone is
heard as a change of degree (minor second), while at the same time dictating,
again by default, that a span of nine semitones expresses a major sixth rather
than a diminished seventh.40 The juxtaposition of a C-minor triad and an
E-major one, in either direction, causes these two defaults to conflict, and the
listener is forced to relinquish one of them.
    Syllogistic reasoning in the face of music is often suspected of mere scholas-
ticism. A consideration of Example 18, the opening phrase of Strauss’s Salome,
is intended to counteract such suspicions. A C -major triad in the orchestra
supports Narraboth’s entry, and will orient him at both the beginning and the
ending of the phrase. But consider how the tenor might conceive the pitches
that set Salome’s name. He could fix on the E  of the first syllable and obliter-
ate the memory of the C-major environment. Imagining an unrelated tonal
universe, a minor one in which E serves as the fifth scale degree, he arpeggiates
down through its tonic triad. The singer who does so will hear the C  as the
third of the A-minor triad, but will have difficulty conceiving it as the leading
tone of the initial C tonic, which has been deliberately banished from mem-
ory. Employing a quite different strategy, the tenor could maintain an “auxil-
iary mental image” (Riemann) of C and G, slotting in the pitch of “-lo-” as
the leading tone (B), and the pitch of “-me” as the upper leading tone (A)
of 5̂.41 This singer will be singing dissonant intervals and will have difficulty
fusing the pitches of “Salome” into a single harmonic entity. The first singer,
like the character that he is portraying, will recognize the royal beauty of
the extent that mixture operations on seven-tone scales are translatable to neo-Riemannian opera-
tions on three-tone triads without loss of significant information, the four nontriadic tones of the
scales are dead cargo.
    40. This principle is stated in Eytan Agmon, “Diatonicism, Chromaticism, and Enharmoni-
cism: A Study in Cognition and Perception” (Ph.D. diss, City University of New York, 1986),
185; and preliminary empirical confirmation is provided in David Temperley, The Cognition of
Basic Musical Structures (Cambridge: MIT Press, 2001), 128–36.
    41. “A large number of intervals become easily singable (imaginable) through the auxiliary
mental image of a succeeding leading tone (even when it does not follow in reality).” Hugo
Riemann, “Riemann’s ‘Ideen zu einer “Lehre von den Tonvorstellungen’ ”: An Annotated
Translation,” trans. Robert W. Wason and Elizabeth West Marvin, Journal of Music Theory 36
(1992): 108; Riemann’s essay was originally published in 1915.
the named princess only by neglecting her context; the second, like the omni-
scient viewer of the opera, will recognize the power of the offstage incestuous
stepfather to split the consciousness of that adolescent persona into frag-
mented particles.42
   Consider now the third and final case, where the two triads are juxtaposed
in a tonally indeterminate environment. How might we discern which one of
the two triads is more intrinsically stable? Our impulse is to seek out leading
tones, which channel the energy of one of the triads into the other. But here
we encounter a problem: each triad contains the other’s leading tone. B dis-
charges into C; E  (qua D ) discharges into E. The reciprocity of the two tri-
ads is magnified, moreover, if we adopt an expanded conception of leading
tone. German theorists around 1900 recognized that the downward pressure
of the flatted sixth degree toward 5̂ echoes and balances the upward pressure
of the leading tone toward the tonic.43 Both of the triads in Figure 1 bear each
other’s flatted sixth degree as well: C discharges onto B, G  (qua A ) onto G.
This double leading-tone reciprocity is unique to hexatonic poles.44
   Figure 6 captures this double reciprocity as it applies to the components of
Figure 1, illustrating how each triad of the pair powerfully “summons” the
other. Their relationship constitutes an exceptionally potent instance of a
Wechselwirkung, a reciprocal exchange. Each triad destabilizes the other;
Lendvai writes that they tonally “neutralize” each other.45 Such relationships
are among “the weirdest cases that arise”: they are the musical equivalent of
Escher’s hands, which draw each other’s cuffs.46
     42. On Salome as incest victim and hysteric, see Sander L. Gilman, “Strauss and the Pervert,”
in Reading Opera, ed. Arthur Groos and Roger Parker (Princeton: Princeton University Press,
1988), 316. At the time of Salome’s composition, Freud held that hysteria was caused by sexual
trauma and resulted in split consciousness. The view of the result he held in common with Breuer
and with several French theorists. In the view of the cause he was quite alone, and indeed he re-
scinded it in 1905. See Josef Breuer and Sigmund Freud, Studies on Hysteria (1893–95), trans.
and ed. James Strachey (New York: Basic Books, 2000), 12; and Jeffrey Moussaieff Masson, The
Assault on Truth: Freud’s Suppression of the Seduction Theory (New York: Farrar, Straus and Giroux,
1984).
     43. This insight is central to dualists in the Oettingen/Riemann lineage, but also was main-
tained by harmonic thinkers with a more empirical grounding, among them Carl Friedrich
Weitzmann, Rudolf Louis and Ludwig Thuille, and Kurth. For a compelling case for the continu-
ing relevance of this viewpoint, see Daniel Harrison, Harmonic Function in Chromatic Music: A
Renewed Dualist Theory and an Account of Its Precedents (Chicago: University of Chicago Press,
1994), 26–34 and passim. Harrison’s metaphor of a “double-barrel discharge” (p. 105) is partic-
ularly appropriate to the situation depicted in Figure 6 below; one imagines two warriors
(duelists?) simultaneously aiming double-barreled firearms at each other.
     44. For more on the double reciprocity of hexatonic poles, see my “Maximally Smooth
Cycles,” 21; and Richard Kurth, “Suspended Tonalities in Schönberg’s Twelve-Tone Compo-
sitions,” Journal of the Arnold Schonberg Center 3 (2001): 239–65.
     45. Lendvai, Workshop, 235–36, 378.
     46. Riemann, in his rev. ed. of Marx, Die Lehre (1887), 1:525. More to the psychological
point, they reflect the Lacanian gaze, which “often bears an uncanny sense of looking and being
looked at; subject/object relations are confused” (Schwarz, Listening Subjects, 64; his italics).
            −6–5                 −6–5
Š ² ÐÐÐ             Ð      −Ð
                   ²Ð       Ð           − ÐÐÐ
            ²7–1                 ²7–1
Figure 6 Double leading-tone reciprocity between C minor and E major
Music theorists of the second half of the nineteenth century were aware that
hexatonic poles were a problem. In the fourth edition of his Kompositionslehre
(1852), Adolf Bernhard Marx’s attention fell upon the juxtaposition of a
B-major triad and a G-minor one, reproduced here as Figure 7a. Marx enter-
tained, but ultimately rejected, the possibility that the G-minor triad might be
a notational stand-in for a dissonant formation.
   If one wants to explain the progression by transforming the third B  into an A ,
   as at [Fig. 7]b, then an entity comes into being which is not a chord at all, or is
   a wrongly named chord. Thereby, one would have just made a bigger enigma
   out of a smaller one. Or does one want to give weight to the fact that A  points
   upward as a sharped tone? Then at [Fig. 7]c, the fifth D would have to become
   a C  , and the incomprehensibility would be exacerbated.47
    47. Adolf Bernhard Marx, Die Lehre von der Musikalischen Komposition, 7th ed. (Leipzig:
Breitkopf und Härtel, 1868), 1:519; my translation.
    48. Marx, Die Lehre, 9th ed. (rev. and ed. Riemann [1887]), 1:525; my translation.
    49. Initially advanced by Jean Laurent de Béthizy (Exposition de la théorie et de la pratique de
la musique: Suivant les nouvelles découvertes [Paris: M. Lambert, 1754], 88), this notion was trans-
mitted to German theory via Johann Philipp Kirnberger (The Art of Strict Musical Composition
    Š −ÐÐÐ ¦ ²² ÐÐÐ          −ÐÐÐ     ² ŁŁŁ ²² ÐÐÐ         −ÐÐÐ ²× ŁŁŁ ²² ÐÐÐ           ²× ŁŁŁ ²² ŁŁŁ
!                                                                                         Ł       ²Ł
    Ý                                                                                    ²Ł        Ł
                                                                                           −9
                                                                                       B: V²7       I
                                                                                            5
    [1771–79], trans. David Beach and Jürgen Thym [New Haven: Yale University Press, 1982],
    146–47). For discussion, see Charles Jay Moomaw, “Augmented Mediant Chords in French
    Baroque Music” (Ph.D. diss., University of Cincinnati, 1985), 180.
        50. Indeed, Fétis’s Traité includes a progression identical to the one that Riemann proposes,
    transposed to C, with the fifth added in the bass, as one of several cadential intensifications of the 43
    chord on the seventh degree (François-Joseph Fétis, Traité complet de la théorie et de la pratique
    de l’harmonie, 4th ed. [Paris: Brandus, 1849], 99). For a passage that conforms closely to Fétis’s
    synthetic example, see Bach’s Die Kunst der Fuge, Contrapunctus 4, measure 61, where the D
    arises as part of a diminished-third turn figure in the countersubject.
                                                                 1643             BRÜNNH.                                 Ð
                                                                    −                               ÿ                                                            −ðý                               −Ł           ð                              
                                                                 Š −−                                                                                                                                                              Łý         Ł ð
                                                                                                                           All                   -               rau               -               ner          rä    -        chen      -   der   Gott!
                                                                                  GUNTH.                                                                         −ð                     −Ł ý              Ł           ð
                                                                 Ý −−
                                                                     −                              ÿ                                       ÿ                                                                  ¼                         Ł Ł ð
                                                                                                                                                                                                                                           
                                                                                                                                                                 All           -        rau        -     ner          rä      -         chen-der   Gott!
                                                                                  HAG.
                                                                                                               Ł           Ł                                     −Ł ý                  Ł Łý                        Ł ý
                                                                 Ý −− ðý
                                                                     −                                                                Ł ½                                                               −Ł     ¼ ¹  Ł                       Ł ð
                                                                                                                                                                                                                                              
                                                                                                              ent    -     ris   -   sen!                        Al        -       ben -va         -     ter                ge - fall’    -   ner   Fürst!
                                                                                                                                p                            3
                                                                                                                                                                  p                            3
                                                                                                                                                                                                   p              p
                                                                                              stacc.
                                                                    −                                  ¦ Ł ¦ Ł Ł Ł Ł ¦ Ł Ł ¦ ððð                ŁŁŁ Łl Łl     −− ðð                      ŁŁ Ł −Ł                                               
                                                                 Š −−                  Ł             Ł                         ð                                                                                 ðð                Łý
                                                                         77777
                                                                                 ¦ ŁŁŁŁ Ł Ł Ł ² Ł                                                                                                                                  Łý
                                                                                                                                                                                                                                              Ł ¦ ŁŁŁŁŁ
                                                                                                                                                     3          [
Example 20 Richard Wagner, Das Rheingold, scene 4, mm. 3835–37 (vocal score [London
and Mainz: B. Schott’s Söhne, n.d.], 216)
3834
   −           Ł Łý Ł ¹                        Ł −Ł Ł ý Ł ¹              Ł Ł ý Ł Łý ý
Š − −− ¼ ¦ Ł Ł                                                             ..     ¼
           
              Um   dich, du kla - res,        wir   nun kla - gen:       gebt uns das Gold,
   −      
Š − −− ¼ Ł Ł ¦ Ł Ł ý Ł ¹                       Ł ¦Ł Ł ý Ł ¹               Ł Łý  ý ¼ ý
                                                                             Ł Ł
              Um   dich, du kla - res,        wir   nun kla - gen:       gebt uns das Gold,
   −                                                                      
Š − −− ¼ Ł Ł Ł Ł ý Ł ¹                        Ł Ł Ł ý Ł ¹               Ł Łý Ł ý ¼ ý
                                                                                    Ł
              Um   dich, du kla - res,        wir   nun kla - gen:       gebt uns das Gold,
    51. Georg Capellen, Die “Musikalische” Akustik als Grundlage der Harmonik und Melodik
(Leipzig: Kahnt, 1903), 93; according to Rothfarb (Selected Writings, 107), Capellen initially dis-
cussed this progression in “Harmonik und Melodik bei Richard Wagner,” Bayreuther Blätter 25
(1902): 22.
    52. Heinrich Schenker, Counterpoint (1910), trans. John Rothgeb and Jürgen Thym (New
York: Schirmer, 1987), 1:192–93. The juxtaposition of the prescriptive and empirical modes is of
interest—if one grasps the correct hearing immediately, why does one need to be warned off from
the incorrect one?—but not pursuable here.
    53. Ibid., 193.
              Łý
       − ððð  Łý Ł          ð − Ł ²Ł Ł Ł Ł Ł
    Š −− ð       
!         ÐÐ               ððÐð ý − ðð ² Ł   ŁŁ
    Ý −− ÐŁ ¹ ½ Ł                              ŁŁ
                                                    ¼ ½
        − ¼
           
under-third is sustained in the bass (Ex. 21). Schenker writes that the doubly
diminished fifth {F , C } “is in truth no interval at all” (“in Wahrheit also
überhaupt kein Intervall”), and is to be explained rather as an encounter
between the harmonic tone C (in D–F–A –C) and the chromatic passing
tone F .54
    Just as significant as the substance of Schenker’s analysis are its ontological
claims, which turn out to be of central importance to our investigation of how
hexatonic poles signify the uncanny. When Schenker writes that the {F  , C } is
“in truth no interval at all,” he edges toward a preoccupation of his postwar
writings, where consonance and dissonance are explicitly entangled with the
metaphysics of reality and appearance. In his “mature” theory (now known as
“Schenkerian theory” tout court), simultaneously sounding pitches do not
qualify as real harmonies unless they attain the status of a scale-step (Stufe) at
some level. Once their components are understood as executing a linear func-
tion at a given structural level, these putative harmonic entities lose their uni-
tary status, fragmenting into components that bear no direct relation to one
another. Their reality becomes invested in the Zug rather than the local
Zusammenhang. The latter entities are not real; they are consigned to the bin
of “mere appearance” (Erscheinung), a category that Schenker assigns pejora-
tive value as a type of false cognition that weighs down the listener and pre-
vents the exercise of Fernhören. In Free Composition, Schenker writes of
“deceptive, inauthentic [scheinbare, uneigentliche] intervals which displace and
obscure the actual [eigentlichen] intervals which originate in the middle-
ground,” and devotes a subsection to distinguishing genuine (wirkliche) from
illusory (scheinbaren) (elsewhere: erroneous [ falsche]) entities (Einheit).55
    It is not particularly surprising to find that the categorical dualism of reality
and appearance should preoccupy both Schenker and Freud: the enduring in-
    54. Translation adapted from ibid., 61. Compare Schenker’s reading of the Till Eulenspiegel
chord, pp. 187–88. Schenker’s interpretation of both passages is surprisingly close to that of Fétis,
for whom he cultivated a profound distaste.
    55. Heinrich Schenker, Free Composition, trans. Ernst Oster (New York: Longman, 1979),
55, 74, 133, at 55. In German, Der Freie Satz (1935), 2d ed., ed. Oswald Jonas (Vienna:
Universal, 1956), 95, 120, 205.
The progressions that are the topic of our study are among the formations
that Kurth has in mind, as becomes clear when he considers the analysis of the
Fate motive from Die Walküre (Ex. 22a). The famously apparent D-minor
chord sounds in a context that indicates, but rarely realizes, an F  tonic. When
that tonic sounds in its major form, the “D-minor triad” sounds as its hexa-
tonic pole, invoking the specific nexus of relations that has occupied us in
this paper. Example 22b is one such instance; here the complex is transposed
up by major third, an “F -minor triad” leading through an F dominant to a
B -major cadence.
    56. On Schenker’s relations to Kant’s writings, see Kevin Korsyn, “Schenker and Kantian
Epistemology,” Theoria 3 (1988): 1–58.
    57. It is tempting to go a step further and hypothesize that Schenker’s disposition symp-
tomizes a compulsion to repress any potential emanations of the uncanny, to stuff them under the
rug or heave them into the darkest corner. This hypothesis helps us to overcome revulsion and
cultivate sympathy for the Tourette-like reflux that erupts across Schenker’s palate at the slightest
provocation. Little is known of Schenker’s early life, but the basic facts are suggestive: it is easy to
imagine that, for a Jewish physician’s son in Galicia, the comforts of the bourgeois home may
have felt fragile and tenuous.
    58. Ernst Kurth, Romantische Harmonik und ihre Krise in Wagner’s “Tristan,” 3d ed. (Berlin:
Max Hesse, 1923), 205; translation adapted from Rothfarb, Selected Writings, 116.
    Example 22 Richard Wagner, Die Walküre, mm. 1462–63 and 1506–9: (a) Fate motive;
    (b) linked to Valhalla music in act 2, scene 4 (vocal score [New York: G. Schirmer, 1904], 152,
    154)
    (a)
              Sehr feierlich und gemessen.
    1462
    Ý ²²²  ² ðÐý                   Ł             ² ÐÐÐ                                                  ² ŁŁŁ
!           \\                                    \\
    Ý ²²²  Ð                                      Ł            ¹   Ł Ł Ł              ¹      Ł Ł          Ł
               Ð                                   Ð                                                       Ł
(b)
    1506         BRÜNNH.
       −                                                           
    Š − −−− ¼ ¦ Ł Łý Ł ¦ ð                                 ¦ Ł Ł Ł Łý Ł ð
                                                          ¼ Ł                                          ½
                                                                      
                    wer mich       er - schaut,       der  schei-det vom Le - bens Licht.
             ðý
    Ý −− − ¦ Ð                 Ł        ¦ ÐÐÐ             ¦ ŁŁŁ          ½               ŁŁ ýý ¦ ŁŁŁ ŁŁŁ ¦ ŁŁŁ ŁŁŁ
        −−                                                        ¼                 ¼
!           \\                          \\                                             \\
    Ý −− − −Ð                               Ð                 Ł          ¼ ¹  ¦ ŁŁ ýý ŁŁ ŁŁ Ł Ł 
                                                                                                                  
        − − −Ð                              Ł ¹   ŁŁŁ ¹ ŁŁ Ł ¼
                                                                               Łl Łl                         ŁŁŁ
                                                                                                                    l
       59. Kurth, Romantische Harmonik, 210; translation adapted from Rothfarb, Selected
    Writings, 117–18.
   longer duration, these actually dissonant structures eventually seem to the ear
   to be consonant. The psychological effect of the procedure is magical; for dur-
   ing the lingering on the tempered notes that are initially understood as disso-
   nant, the Klang is purified [reinigt sich], without any motion, into the most
   radiant beauty.63
Lorenz now turns to the music of Example 23, which presents two chromati-
cized versions of the Grail theme, the second of which is identical to the music
that accompanies Kundry’s Entseelung at the opera’s end (cf. Ex. 10):
   When . . . an A-minor triad is placed between D -major triads, it is actually a
   dissonance, for the A stands in for B  as a neighbor tone to A  , while the E/C
   third is understood as lower leading tones to F/D  . . . . But no sooner are the
   neighbor tones reached, when the Klang is covered over by the appearance of
   a consonance, which acts like a beam of light. Although here the neighbor
   tones again correctly return to the womb from which they were conceived,
   three measures earlier, what is initially taken to be the same progression leads
   away in a different manner: from G major follows the dissonance {F  , A , E },
   sounding as E  minor, which then is established as scheinkonsonant and leads
   to D  major as the ii-chord. . . . The reverse path can also occur: an originally
   pure triad becomes transformed, through its progression to an actually unfa-
   miliar chord, into a structure whose consonance is merely apparent, hence
   dissonant.64
   What this quote makes evident is that, for Lorenz as for Kurth, there is no
firm boundary between dissonance and consonance. One cannot point to a
moment when the dissonant becomes consonant. Or vice versa. The process
    63. Alfred Lorenz, Der musikalische Aufbau von Richard Wagners “Parsifal” (1933), vol. 4 of
Das Geheimnis der Form bei Richard Wagner (Tutzing: Hans Schneider, 1966), 89; my transla-
tion. The idea of growing a consonant (alive) structure out a dissonant (dead) one seems particu-
larly apt for this opera, which has, as a central image, a lush garden blooming in a desert
wasteland.
    64. Ibid., 89–90; my translation. There are some confusing aspects to this passage. The
penultimate sentence suggests that scheinkonsonant is an intermediate state between dissonance
and consonance; but the final sentence (“scheinkonsonantes also dissonantes”) suggests that
Scheinkonsonanzen are inherently dissonant. I believe that Lorenz is using scheinkonsonant in two
distinct ways. For nineteenth-century just-intonationists such as Simon Sechter and Moritz
Hauptmann, a minor chord on the second degree was mistuned by a syntonic comma, and hence
its consonance impure, only apparent. This sense of Scheinkonsonanz was then adapted by
Riemann to refer to all “secondary” diatonic triads. Throughout Lorenz’s Sonderbetrachtung,
Scheinkonsonanz refers to the misidentification of enharmonic distinctions, a much more acute
case of mistuning. When Lorenz refers to the E  -minor triad as a Scheinkonsonanz, he is employ-
ing a dead metaphor, whose identity with the topic of his excursus is occluded from his view. The
linguistic situation can be compared to an utterance (say, by a voice teacher) such as: “sing that
D natural with a less natural tone.” The first italicized term is a dead musical metaphor con-
verted to technical language through overuse, while the second corresponds to more general ap-
plication. Where an outsider would be struck by the paradoxical qualities of the utterance, a
member of the linguistic subculture of musicians would be unlikely to recognize, much less be
disturbed by, the homonymous status of these terms.
    Example 23 Richard Wagner, Parsifal, act 1, mm. 1480–87 (vocal score [New York:
    G. Schirmer, 1962], 90–91)
    1484
       −                         ð                                                                       ð
    Š − −− ¦ ðð          ¦ð      ð                   ð
                                                               ¦ ðð
                                                                                    ¦ð                  −ð              ð
!                                                                                                        n
            \
    Ý −− − ¦ Ł Ł ¦ Ł Ł Ł ¹ −Ł Ł −Ł Ł Ł ¹                          ¦ Ł Ł ¦Ł Ł Ł ¹
                                                                                                          − Ł Ł −Ł Łý Ł ý
        − Ł                Ł                                    Ł                                       Ł
    1486
       − Ł         Ł −ŁŁ                  Ł              ððð                                  ¦ ¦ ððð
    Š − −− −Ł      ŁŁ Ł                   ŁŁ                               ð                                       ¦ð
!                  ð
                                                         \
                                                           Ł Ł Ł Ł ¹  ¦ ŁŁ ¦ Ł ŁŁ Ł ¹
    Ý −− − ð
        −
                              −Ł Ł Ł Ł Ł ¹               Ł Ł Ł      ¦ Ł
                          Ł                              Ł           ¦Ł
                                                                               Sehr allmählich das
                                                                               Zeitmass etwas bewegter.
    1488                                       Ł         Ł            Ł                 ÐÐÐ
       − ðð                          Ł                                ŁŁ
    Š − −− ð            −ð           ŁŁ        ŁŁ        ŁŁ                                                   Ð
!           più\Ł Ł                                                           \\
                Ł Ł          Ł Ł Ł                                                                  poco marcato
                         ŁŁ ŁŁ ŁŁ Ł Ł Ł Ł ¹                                   ŁŁ
                                                                               777777
    Ý −− − Ł −Ł Ł  ¹ Ł                                                         ŁŁ
        − Ł                                                                                         Łý Ł Ł              Ł
                       Ł                                                                            Łý Ł Ł              Ł
    Recall Freud’s formulation of Jentsch’s view: “an uncanny effect is often and
    easily produced when the distinction between imagination and reality is ef-
    faced, as when something that we have hitherto regarded as imaginary appears
    before us in reality.” For Lorenz, as for Kurth and Schenker, musical reality is
    consonance, musical appearance is dissonance. Accordingly, a simple substitu-
    tion of terms will lead us to the musically uncanny: “an uncanny effect is often
    and easily produced when the distinction between dissonance and consonance
    65. Brian Hyer “Tonality,” in The New Grove Dictionary of Music and Musicians, 2d ed.
(2001), 25:585; revised in The Cambridge History of Western Music Theory, ed. Thomas
Christensen (Cambridge: Cambridge University Press, 2002), 732.
    66. Cherlin, “Schoenberg and Das Unheimliche,” 362.
    67. Marston, “Schubert’s Homecoming,” 248.
    68. In both musical and psychoanalytic theory, the metaphor of home has an organic equiva-
lent in the form of the womb. On the musical side, see the Lorenz quote above (“the neighbor
tones again correctly return to the womb from which they were conceived”), and also Schenker,
The Masterwork in Music: A Year Book, vol. 2 (1926), ed. William Drabkin, trans. Ian Bent (Cam-
bridge: Cambridge University Press, 1996), 22. On the psychoanalytic side, see Freud, “Un-
canny,” 244–45; and Royle, The Uncanny, 143–44.
    69. Gottfried Weber, Theory of Musical Composition (1817), trans. James F. Warner (Boston:
Wilkins, Carter, 1846), 1:336; I have modernized the translation slightly. For a recent restatement
of this view, see Fred Lerdahl, Tonal Pitch Space (Oxford: Oxford University Press, 2001), 174.
moment at risk of being cast out on a vast sea of tonal indeterminacy, without
compass or anchor. Each triad seems to be a port, yet each rests on naught but
its own corrodible bottom. The lines between good and evil, life and death,
truth and appearance are cast into doubt. Severed heads are so beautiful one
cannot but kiss them. The energy of a dying woman is transferred into a fixate
gaze. A dissonant harmony bursts into a consonant but bleached-out Gesang.
Superannuated wraiths sing from their crypts, dead heroes animatedly guard
their treasure, and spirits scamper back down their infernal holes. A great com-
poser survives his own death to compose it in tones. What enables music to
portray effectively each of these uncanny events is the consonant triad’s im-
plicit potential to turn dissonant. This potential is realized, made explicit, the
moment the triad is mated with its hexatonic pole.
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Abstract