Published online by Cambridge University Press: 01 January 2020
A model is presented which aims to show how, for listeners familiar with a given style, aesthetic response to music may be related to its ‘structure’ (as defined in relation to ‘zygonic’ theory) and ‘content’ (the particular perceived qualities of sound that pertain to a given musical event). The model combines recent empirical findings from music psychology with other approaches adapted from music theory and philosophy. Intramusical considerations, which form the core of the model, are positioned within a broader socio-cultural, cognitive and physical context. The new framework is used to inform an analysis of Beethoven's Piano Sonata op.110, which examines in particular the notions of teleology in music and narrative metaphor.
1 William Kinderman, ‘Integration and Narrative Design in Beethoven's Piano Sonata in A♭ Major, Opus 110‘, Beethoven Forum, 1, ed. Christopher Reynolds, Lewis Lockwood and James Webster (Lincoln, NE, and London, 1992), 111–45 (p. 111).Google Scholar
2 Robert Hatten, Musical Meaning in Beethoven: Markedness, Correlation and Interpretation (Bloomington and Indianapolis, 1994).Google Scholar
3 See, for example, Adam Ockelford, ‘The Role of Repetition in Perceived Musical Structures’, Representing Musical Structure, ed. Peter Howell, Robert West and Ian Cross (London, 1991), 129–60; ‘A Theory Concerning the Cognition of Order in Music’ (Ph.D. dissertation, University of London, 1993); The Cognition of Order in Music: A Metacognitive Study (London, 1999); ‘The Magical Number Two, Plus or Minus One: Some Limits on our Capacity for Processing Musical Information’, Musicae scientiae, 6 (2002), 177–215; ‘On Similarity, Derivation, and the Cognition of Musical Structure’, Psychology of Music, 32 (2004), 23–74.Google Scholar
4 Music and Emotion: Theory and Research, ed. Patrik Juslin and John Sloboda (Oxford, 2001).Google Scholar
5 David Temperley, personal communication, 2003.Google Scholar
6 Robert Gjerdingen, ‘An Experimental Music Theory?‘, Rethinking Music, ed. Nicholas Cook and Mark Everist (Oxford, 1999), 161–70 (p. 166).Google Scholar
7 From the Greek ‘zygon’ for ‘yoke’, implying the presence or union of two similar things.Google Scholar
8 Francis Sparshott, ‘Music and Feeling’, Journal of Aesthetics and Art Criticism, 52 (1994), 23–36 (p. 28).Google Scholar
9 Since, as Philip Johnson-Laird and Keith Oatley observe, survival often requires that, as sentient creatures interacting with highly complex environments that are ultimately irreducible to logical analysis, we gauge sensory input intuitively. Johnson-Laird and Oatley, ‘Basic Emotions, Rationality, and Folk Theory’, Cognition and Emotion, 6 (1992), 201–23 (p. 201).Google Scholar
10 Patrik Juslin and John Sloboda, ‘Music and Emotion: Introduction’, Music and Emotion, ed. Juslin and Sloboda, 3–20 (p. 3).Google Scholar
11 See Robinson, Jenefer, ‘Introduction: New Ways of Thinking about Musical Meaning’, Music and Meaning, ed. Jenefer Robinson (Ithaca, NY, and London, 1997), 1–20 (pp. 2–3).Google Scholar
12 Fred Lerdahl and Ray Jackendoff, A Generative Theory of Tonal Music (Cambridge, MA, 1983), 8.Google Scholar
13 Nicholas Cook and Nicola Dibben, ‘Musicological Approaches to Emotion’, Music and Emotion, ed. Juslin and Sloboda, 45–70 (p. 50).Google Scholar
14 Hatten, Musical Meaning in Beethoven.Google Scholar
15 See Adrian North and David Hargreaves, ‘Experimental Aesthetics and Everyday Music Listening’, The Social Psychology of Music, ed. David Hargreaves and Adrian North (Oxford, 1997), 84–103 (p. 84); John Sloboda, ‘Does Music Mean Anything?‘, Musicae scientiae, 2 (1998), 21–32 (p. 26).Google Scholar
16 John Sloboda and Patrik Juslin, ‘Psychological Perspectives on Music and Emotion’, Music and Emotion, ed. Juslin and Sloboda, 71–104 (p. 81).Google Scholar
17 For example, Daniel Berlyne, Aesthetics and Psychobiology (New York, 1971); Studies in the New Experimental Aesthetics, ed. Daniel Berlyne (Washington, DC, 1974).Google Scholar
18 See Patrik Juslin and Marcel Zentner, ‘Current Trends in the Study of Music and Emotion: Overture’, Musicae scientiae, special issue 2001/02, 3–21 (p. 3).CrossRefGoogle Scholar
19 John Sloboda and Patrik Juslin, ‘Music and Emotion: Commentary’, Music and Emotion, ed. Juslin and Sloboda, 453–62.Google Scholar
20 See, for instance, Marco Costa, Pio Bitti and Luisa Bonfiglio, ‘Psychological Connotations of Harmonic Musical Intervals’, Psychology of Music, 28 (2000), 4–22; Glenn Schellenberg, Ania Krysciak and Jane Campbell, ‘Perceiving Emotion in Melody: Interactive Effects of Pitch and Rhythm’, Music Perception, 18 (2000), 155–71; and Alf Gabrielsson and Erik Lindström, ‘The Influence of Musical Structure on Musical Expression’, Music and Emotion, ed. Juslin and Sloboda, 223–48.Google Scholar
21 Tia DeNora, ‘Aesthetic Agency and Musical Practice: New Directions in the Sociology of Music and Emotion’, Music and Emotion, ed. Juslin and Sloboda, 161–80.Google Scholar
22 Isabelle Peretz, Lise Gagnon and Bernard Bouchard, ‘Music and Emotion: Perceptual Determinants, Immediacy, and Isolation after Brain Damage’, Cognition, 68 (1998), 111–41; Isabelle Peretz, ‘Listen to the Brain: A Biological Perspective on Music and Emotion’, Music and Emotion, ed. Juslin and Sloboda, 105–34.Google Scholar
23 Judith Becker, ‘Anthropological Perspectives on Music and Emotion’, Music and Emotion, ed. Juslin and Sloboda, 135–60.Google Scholar
24 Klaus Scherer and Marcel Zentner, ‘Emotional Effects of Music: Production Rules’, Music and Emotion, ed. Juslin and Sloboda, 361–92 (p. 380); Daniel Västfjäll, ‘A Review of the Musical Mood Induction Procedure’, Musicae scientiae, special issue 2001/02, 173–211.Google Scholar
25 Sloboda and Juslin, ‘Music and Emotion: Commentary’, 459.Google Scholar
26 Mitch Waterman, ‘Emotional Responses to Music: Implicit and Explicit Effects in Listeners and Performers’, Psychology of Music, 24 (1996), 53–67 (p. 66).Google Scholar
27 Sparshott, ‘Music and Feeling’, 24.Google Scholar
28 Malcolm Budd, Music and the Emotions: The Philosophical Theories (London, 1985).Google Scholar
29 Justin London, ‘Some Theories of Emotion in Music and their Implications for Research in Music Psychology’, Musicae scientiae, special issue 2001/02, 23–36 (p. 25).Google Scholar
30 David Hargreaves, Dorothy Miell and Raymond MacDonald, ‘What are Musical Identities, and Why are They Important?‘, Musical Identities, ed. Raymond MacDonald, David Hargreaves and Dorothy Miell (Oxford, 2002), 1–20 (p. 11).Google Scholar
31 Deryck Cooke, The Language of Music (Oxford, 1959).Google Scholar
32 See, for example, Clive Gabriel, ‘An Experimental Study of Deryck Cooke's Theory of Music and Meaning’, Psychology of Music, 6 (1978), 13–20; and Peter Hampson, ‘A Naturalistic Empirical Investigation of Deryck Cooke's Theory of Music and Meaning’, Sixth International Conference on Music Perception and Cognition, ed. Chris Woods, Geoff Luck, Renaud Brochard, Fred Seddon and John Sloboda (CD, Keele, 2000).Google Scholar
33 Summarized in Alf Gabrielsson and Erik Lindström, ‘The Influence of Musical Structure on Musical Expression’, Music and Emotion, ed. Juslin and Sloboda, 223–48.Google Scholar
34 Karl Watson, ‘The Nature and Measurement of Musical Meanings’, Psychological Monographs, 54 (1942), 1–43.Google Scholar
35 Klaus Scherer and James Oshinsky, ‘Cue Utilization in Emotion Attribution from Auditory Stimuli’, Motivation and Emotion, 1 (1977), 331–46.Google Scholar
36 Watson, ‘The Nature and Measurement of Musical Meanings’; Lage Wedin, ‘Multidimensional Study of Perceptual-Emotional Qualities in Music’, Scandinavian Journal of Psychology, 13 (1972), 241–57.Google Scholar
37 William Thompson and Brent Robitaille, ‘Can Composers Express Emotions through Music?‘, Empirical Studies of the Arts, 10 (1992), 79–89.Google Scholar
38 Ralph Gundlach, ‘Factors Determining the Characterization of Musical Phrases’, American Journal of Psychology, 47 (1935), 624–44.Google Scholar
39 Laura-Lee Balkwill and William Thompson, ‘A Cross-Cultural Investigation of the Perception of Emotion in Music: Psychology and Cultural Cues’, Music Perception, 17 (1999), 43–64.Google Scholar
40 Watson, ‘The Nature and Measurement of Musical Meanings’.Google Scholar
41 Gundlach, ‘Factors Determining the Characterization of Musical Phrases’.Google Scholar
42 Sören Nielzén and Zvonimir Cesarec, ‘Emotional Experience of Music as a Function of Musical Structure’, Psychology of Music, 10 (1982), 7–17.Google Scholar
43 Patrik Juslin, ‘Perceived Emotional Expression in Synthesized Performances of a Short Melody: Capturing the Listener's Judgement Policy’, Musicae scientiae, 1 (1997), 225–56.Google Scholar
44 Leonard Meyer, ‘Music and Emotion: Distinctions and Uncertainties’, Music and Emotion, ed. Juslin and Sloboda, 341–60 (p. 342).Google Scholar
45 Justin London, ‘Musical Expression and Musical Meaning in Context’, Sixth International Conference on Music Perception and Cognition, ed. Woods, Luck, Brochard, Seddon and Sloboda.Google Scholar
46 Patrik Juslin, Anders Friberg and Roberto Bresin, ‘Toward a Computational Model of Expression in Music Performance: The GERM Model’, Musicae scientiae, special issue 2001/02, 63–122.Google Scholar
47 Klaus Scherer, Rainer Banse and Harad Wallbott, ‘Emotion Inferences from Vocal Expression Correlate Across Languages and Cultures’, Journal of Cross-Cultural Psychology, 32 (2001), 76–92.CrossRefGoogle Scholar
48 Klaus Scherer, ‘Emotion Expression in Speech and Music’, Music, Language, Speech and Brain, ed. Johan Sundberg, Lennart Nord and Rolf Carlson (London, 1991), 146–56; ‘Affect Bursts’, Emotions: Essays on Emotion Theory, ed. Stephanie van Goozen, Nanne van de Poll and Joseph Sergeant (Hillsdale, NJ, 1994), 161–96; ‘Expression of Emotion in Voice and Music’, Journal of Voice, 9 (1995), 235–48.Google Scholar
49 Stephen Malloch, ‘Mothers and Infants and Communicative Musicality’, Musicae scientiae, special issue 1999/2000, 29–54; Sandra Trehub and Takayuki Nakata, ‘Emotion and Music in Infancy’, Musicae scientiae, special issue 2001/02, 37–61; Colwyn Trevarthen, ‘Origins of Musical Identity: Evidence from Infancy for Musical Social Awareness’, Musical Identities, ed. MacDonald, Hargreaves and Miell, 21–38.Google Scholar
50 Meyer, ‘Music and Emotion’, 342.Google Scholar
51 See London, ‘Some Theories of Emotion in Music and their Implications for Research in Music Psychology’, 24.Google Scholar
52 Carol Krumhansl, ‘An Exploratory Study of Musical Emotions and Psychophysiology’, Canadian Journal of Experimental Psychology, 51 (1997), 336–52; Peretz, Gagnon and Bouchard, ‘Music and Emotion’.Google Scholar
53 Nazir Jairazbhoy, The Rags of North Indian Music: Their Structure and Evolution (London, 1971), 28.Google Scholar
54 Kate Hevner, ‘Experimental Studies of the Elements of Expression in Music’, American Journal of Psychology, 48 (1936), 246–68; Robert Crowder, ‘Perception of the Major/Minor Distinction: III. Hedonic, Musical and Affective Discriminations’, Bulletin of the Psychonomic Society, 23 (1985), 314–16; Krumhansl, ‘An Exploratory Study of Musical Emotions and Psychophysiology’; Peretz, Gagnon and Bouchard, ‘Music and Emotion’.Google Scholar
55 Edmund Husserl, The Phenomenology of Internal Time-Consciousness (The Hague, 1905–10; repr. 1964); summarized in Izchak Miller, Husserl, Perception, and Temporal Awareness (Cambridge, MA, 1984), 120ff.; revisited in David Lewin, ‘Music Theory, Phenomenology, and Modes of Perception’, Music Perception, 3 (1986), 327–92 (pp. 329ff.).Google Scholar
56 Peretz, Gagnon and Bouchard, ‘Music and Emotion’, 124.Google Scholar
57 See Dan Sperber and Deirdre Wilson, Relevance: Cognition and Communication (Oxford, 1995), 118; Emery Schubert, ‘Correlation Analysis of Continuous Emotional Response to Music: Correcting for the Effects of Serial Correlation’, Musicae scientiae, special issue 2001/02, 213–36.Google Scholar
58 On the basis of listeners' retrospective accounts, John Sloboda confirmed musicians' intuitive notion that melodic appoggiaturas are one of the features of Western classical music capable of triggering a marked emotional response. See Sloboda, ‘Music Structure and Emotional Response: Some Empirical Findings’, Psychology of Music, 19 (1991), 111–20.Google Scholar
59 Hence this view is opposed to that famously (though not uncontroversially) espoused by Leonard Meyer, who most recently concludes that states of feeling become emotional experiences ‘when they are at least tinged by uncertainty’ (‘Music and Emotion’, 353), something which music achieves through the physical-somatic conditions created by the statistical parameters being qualified through the action of syntactic and native processes which uniquely characterize the art form (p. 346). These generate arousal, so directing attention to what is still to come, thereby giving rise to implication. Since what is implied can never be more than probable, meaningful attention to music is necessarily characterized by uncertainty as to how past and present patterns will be continued and, ultimately, resolved (p. 354). Yet here – on the contrary – we are saying that informed anticipation is a key element in one's aesthetic response to music. See Ockelford, ‘Implication and Expectation in Music: A Zygonic Model’ (forthcoming, Psychology of Music, 2005).Google Scholar
60 Suzanne Langer, Philosophy in a New Key: A Study in the Symbolism of Reason, Rite and Art (Cambridge, MA, 1942; repr. 1957), 226ff.Google Scholar
61 Ibid.Google Scholar
62 Thomas Stearns Eliot, The Sacred Wood: Essays on Poetry and Criticism (London, 1920; repr. 1997), 54.Google Scholar
63 Ibid., 85.Google Scholar
64 See Eliot, Thomas Stearns, The Use of Poetry and the Use of Criticism (London, 1933), 118–19.Google Scholar
65 Reflecting further on the comparison with language, while it is the meanings of words that tend to elicit an emotional response, it is their syntactical structure and sonic qualities that induce the aesthetic component of our reaction to a text (beauty, felicity of expression and so forth). Repetition (the foundation of structure in music) sometimes plays a part: through rhyme, assonance, alliteration, anaphora and metre, for example. See Carlos Chavéz, Musical Thought (Cambridge, MA, 1961), 39, 40; Leonard Bernstein, The Unanswered Question (Cambridge, MA, 1976), 147–8; Ockelford, ‘A Theory Concerning the Cognition of Order in Music’, 168.Google Scholar
66 See London, ‘Some Theories of Emotion in Music’, 25.Google Scholar
67 See Dempster, Douglas, ‘Is There Even a Grammar of Music?‘, Musicae scientiae, 2 (1998), 55–65 (p. 58).CrossRefGoogle Scholar
68 See Rothgeb, John, ‘Thematic Content: A Schenkerian View’, Aspects of Schenkerian Theory, ed. David Beach (New Haven and London, 1983), 39–60 (p. 39): ‘Music, lacking access to the kinds of direct association with the phenomenal world central to most other art forms, was able to satisfy the universal requirement of association only through the “likeness of itself” – through self-repetition.’ Also Basil de Selincourt, ‘Music and Duration’, Reflections on Art, ed. Suzanne Langer (London, 1958), 152–60 (p. 156): ‘The value of repetition in music belongs of course to the peculiar inwardness of the art. A musical composition must be content to be itself. The reference and relations into which analysis resolves its life-current need point to no object, no event; they take the form of the creative impulse which is their unity and they repeat one another because iteration is the only outward sign of identity which is available to them.‘Google Scholar
69 Edward Cone, ‘On Derivation: Syntax and Rhetoric’, Music Analysis, 6 (1987), 237–55 (p. 237).Google Scholar
70 Ockelford, ‘The Role of Repetition in Perceived Musical Structures’, 141.Google Scholar
71 See Ockelford, The Cognition of Order in Music.Google Scholar
72 See Zbikowski, Lawrence, ‘Metaphor and Music Theory’, Music Theory Online, 4 (1998), vol. 1; and Conceptualizing Music: Cognitive Structure, Theory, and Analysis (New York, 2002). Building on the work of George Lakoff, Zbikowski shows how such notions are underpinned by culture-specific conceptual metaphors, mapped onto the domain of music-space from our perception of the physical world.Google Scholar
73 Ockelford, ‘The Magical Number Two, Plus or Minus One’.Google Scholar
74 See Narmour, Eugene, ‘Music Expectations by Cognitive Rule-Mapping’, Music Perception, 17 (2000), 329–98 (p. 364).Google Scholar
75 Observe that relationships (whether or not they are zygonic) which link different values use half-arrowheads (in contradistinction to full arrowheads, which are indicative of identity). Note also that some arrowheads are open and some are filled – the former showing a link between single values, and the latter indicating a compound connection within or between ‘constants’ (typically, values extended in time) – implying a network of relationships the same. For fuller explanations, see Ockelford, The Cognition of Order in Music.Google Scholar
76 A fuller discussion of key issues in zygonic theory, including what counts as sameness and similarity, and how these interact with the notions of salience, categorization and derivation, is to be found elsewhere. See Ockelford, ‘On Similarity, Derivation, and the Cognition of Musical Structure’.Google Scholar
77 See Garnham, Alan, Jane Oakhill and Philip Johnson-Laird, ‘Referential Continuity and the Coherence of Discourse’, Cognition, 11 (1982), 29–46.Google ScholarPubMed
78 See Sloboda, John, ‘Does Music Mean Anything?‘Google Scholar
79 Cf. Meyer's reason for preferring the notion of implication to that of causation in music theory and analysis: that the former makes more sense in the context of uncertainty, which he holds to be the catalyst of emotional response to music (see, for example, Meyer, Style and Music: Theory, History, and Ideology, Philadelphia, 1989, 84ff.; ‘Music and Emotion, Distinctions and Uncertainties’, 346–7). However, as I argue above, since informed anticipation appears to play a central role in musical affect, uncertainty cannot, and it is because relationships between objects in music are only metaphorical that the concept of implication is preferable to that of causation. See also Sperber and Wilson, Relevance, 72, who contend that ‘for a representation to be amenable to logical processing, all that is necessary is for it to be well-formed’ (rather than semantically complete – that is, representative of a state of affairs in a possible or actual world). In Sperber and Wilson's terms, logic in language (that is semantically complete, and therefore capable of being true or false) can be described as propositional, whereas logic in music would be considered non-propositional (see also Dempster, ‘Is There Even a Grammar of Music?’, 61). In language, Sperber and Wilson contend (p. 84), ‘logical implication’ is a syntactic relation which holds purely by virtue of the formal properties of assumptions, involving no reference to their semantic properties. This supports the notion that logical implication – the keystone of zygonic theory – is applicable to music too. A comparable line of argument is advanced by Bob Snyder, Music and Memory (Cambridge, MA, 2000), 230: ‘By causing musical events to “point to” other musical events, it connects those events in a relation of implication… . Musical linearity is like a metaphor of physical causation, and indeed linearity is an attempt to make musical events seem to cause each other. (Note that much of the linearity in verbal narrative structures is based on causation – events are connected to other events through earlier events causing the later events.)’ See also Fred Maus, ‘Narrative, Drama and Emotion in Instrumental Music’, Journal of Aesthetics and Art Criticism, 55 (1997), 293–303.Google Scholar
80 See Raffman, Diana, Language, Music, and Mind (Cambridge, MA, 1993).Google Scholar
81 Tim Horton, ‘The Compositionality of Tonal Structures: A Generative Approach to the Notion of Musical Meaning’, Musicae scientiae, 5 (2001), 131–56 (p. 143).Google Scholar
82 Leonard Meyer, Emotion and Meaning in Music (Chicago, 1956), 49.Google Scholar
83 Arnold Schoenberg, Fundamentals of Musical Composition (London, 1967), 1.Google Scholar
84 Ibid., 8.Google Scholar
85 Thus creating an effect in some ways comparable to that produced by the technique of photomontage when it is used to form the image of a human face from many smaller pictures of faces. The expressions (happy, sad, etc.) on these individual physiognomies need not correspond to those evinced by the single, larger face. Hence there could be a number of smaller, sad images coming together to make a happy whole. So it is with minor chords in a major context and vice versa: by focusing one's attention on the detail, a particular aesthetic response may come to the fore; by attending more globally, a different reaction may be engendered. In fact, it is likely there will be an interaction between the two: the effect of a major tonality will be coloured by the minor elements within it (and vice versa). In his Auditory Scene Analysis (Cambridge, MA, 1990), Albert Bregman makes a similar observation in relation to the perception of Webern's arrangement of the Ricercar from Bach's The Musical Offering (p. 471). John Sloboda observes in ‘Music Structure and Emotional Response’ (p. 115) that sequences based on the cycle of fifths often underlie passages that listeners describe as being particularly laden with emotion. The current theory suggests that this may occur through the predictable transformation of motives from major to minor (and back) that repeated transposition within the framework of the diatonic major scale necessarily engenders.Google Scholar
86 Ockelford, Repetition in Music: Theoretical and Metatheoretical Perspectives, RMA Monographs, 13 (London, 2005).Google Scholar
87 See Schubert, ‘Correlation Analysis of Continuous Emotional Response to Music’, 216.Google Scholar
88 Sperber and Wilson, Relevance, 38ff.Google Scholar
89 Richard Davidson, ‘On Emotion, Mood, and Related Affective Constructs’, The Nature of Emotion: Fundamental Questions, ed. Paul Ekman and Richard Davidson (Oxford, 1994), 51–5 (p. 52).Google Scholar
90 Klaus Scherer and Marcel Zentner, ‘Emotional Effects of Music: Production Rules’, Music and Emotion, ed. Juslin and Sloboda, 361–92 (p. 370).Google Scholar
91 Ibid., 364–5.Google Scholar
92 Cook and Dibben, ‘Musicological Approaches to Emotion’, 67.Google Scholar
93 Note that these form a subset of the domain of ‘musical experience/knowledge’ identified in Figure 2.Google Scholar
94 See Schenker, Heinrich, Beethoven: Die letzten Sonaten: Sonate in As Dur Op. 110 (Vienna, 1972), 17.Google Scholar
95 Summarized in Gabrielsson and Lindström, ‘The Influence of Musical Structure on Musical Expression’.Google Scholar
96 For example, Eric Blom, Beethoven's Piano Sonatas Discussed (London, 1938), 230.Google Scholar
97 Other Beethoven sonatas that open with chords with the mediant at the top have spacing that conforms more immediately to that of the harmonic series. For example: op. 2 no. 3; op. 7; op. 10 no. 2; op. 90; op. 101.Google Scholar
98 However, this is a typical feature of Beethoven's late style – see Cooper, Martin, Beethoven: The Last Decade 1817–1827 (Oxford, 1985), 425 – and the opening sonority foreshadows greater extremes of register later in the movement; see, for example, bars 25–8.Google Scholar
99 See Hatten, Musical Meaning in Beethoven.Google Scholar
100 Including the great majority of Beethoven's other piano sonatas.Google Scholar
101 See Timothy Maher and Daniel Berlyne, ‘Verbal and Exploratory Responses to Melodic Musical Intervals’, Psychology of Music, 10 (1982), 11–27.Google Scholar
102 See Ockelford, ‘On Similarity, Derivation, and the Cognition of Musical Structure’.Google Scholar
103 See Cooper, Beethoven, 190.Google Scholar
104 Kinderman, ‘Integration and Narrative Design in Beethoven's Piano Sonata in A♭ Major, Opus 110‘, 117.Google Scholar
105 With the possible exception of the harmony constituting the fourth quaver of bar 3, which can be interpreted as B♭ minor7 or D♭ major6.Google Scholar
106 Cooper, Beethoven, 188.Google Scholar
107 Kinderman, ‘Integration and Narrative Design in Beethoven's Piano Sonata in A♭ Major, Opus 110‘, 117.Google Scholar
108 Ibid.Google Scholar
109 Ibid., 121.Google Scholar
110 See Cooper, Beethoven, 190–1.Google Scholar
111 Kinderman, ‘Integration and Narrative Design in Beethoven's Piano Sonata in A♭ Major, Opus 110‘, 120.Google Scholar
112 Through a zygonic relationship that combines imitation in the domains of relative pitch and perceived time – a so-called ‘syzygy’ (see Ockelford, The Cognition of Order in Music).Google Scholar
113 Ockelford, Repetition in Music; Rudolph Réti, The Thematic Process in Music (Westport, 1951).Google Scholar
114 Ockelford, Repetition in Music, 121.Google Scholar
115 English translations taken from Kinderman, ‘Integration and Narrative Design in Beethoven's Piano Sonata in A♭ Major, Opus 110‘, 121.Google Scholar
116 Christopher Ballantine, Music and its Social Meanings (Johannesburg, 1984), 74.Google Scholar
117 Cooper, Beethoven, 190.Google Scholar
118 Compare Bach's use of two folksongs in Variation 30 of the Goldberg Variations.Google Scholar
119 See, for example, Kinderman, ‘Integration and Narrative Design in Beethoven's Piano Sonata in A♭ Major, Opus 110'; Maus, ‘Narrative, Drama and Emotion in Instrumental Music'.Google Scholar
120 Ockelford, Repetition in Music, 111ff.Google Scholar
121 That is, transformational configurations can (and often do) sustain zygonic links in addition to their principal structural connection (see Figure 5).Google Scholar
122 ‘Profile’ is a term I coin in The Cognition of Order in Music to mean a series of relative values of pitch (thus being equivalent to ‘rhythm’ in the domain of perceived time) – see Figure 4.Google Scholar
123 Although, as is the case throughout op. 110, this classification identifies only the principal connections among a multiplicity of links; see above, note 108.Google Scholar
124 See Kinderman, ‘Integration and Narrative Design in Beethoven's Piano Sonata in A♭ Major, Opus 110‘, 117.Google Scholar
125 See Kinderman, ‘Integration and Narrative Design in Beethoven's Piano Sonata in A♭ Major, Opus 110‘, 140.Google Scholar
126 Cook and Dibben, ‘Musicological Approaches to Emotion’, 67.Google Scholar