Varieties of Tone Presence: Process, Gesture, and the Excessive Polyvalence of Pitch in Post-Tonal Music

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1 Harcus, Varieties of Tone Presence 1 Varieties of Tone Presence: Process, Gesture, and the Excessive Polyvalence of Pitch in Post-Tonal Music Aaron Harcus The Graduate Center, CUNY aaronharcus@gmail.com Annual Meeting of the Society for Music Theory November 6, 2014 Milwaukee, WI Outline of Talk I. Introduction: Perceptual Presence II. Traditional Approaches to Tone Presence ( Chunk and Match ) III. Phenomenology of Now and the Embedded Character of Temporal Experience IV. A Comparison of the same chord in Bartók and Schoenberg I. Perceptual Presence Phenomenon of Presence: How the world shows up ; online (as opposed to offline) processing in the various sensory modalities. Main Thesis: The question of how tones show up for experience (their presence) is dependent on getting an accurate description of the structure of temporal experience. Secondary Thesis: The focus on principles of segmentation in music analysis, theory, and cognition has virtually ruled out the possibility of a theory of tone presence because it begins with a faulty conception of temporal experience. Minimal requirement for an adequate description of tone presence: Perceptual experience is (Noë 2012) transactional in nature: Our perceptual experience registers both how things are and our relation to how things are. Included in my conception of relation to how things are is understanding. Take either one of these aspects of perceptual experience away and you no longer have perceptual experience.

2 Harcus, Varieties of Tone Presence 2 Example 1. Bartók, String Quartet no. 5, second movement, mm

3 Harcus, Varieties of Tone Presence 3 Filled-in note-heads: More vivid tone presence Tones are less present in texture Profiled Tone Object Immediate Scope endowing profiled object with conceptual content Focally Prominent Tone Relationship Key to Symbols Used in Examples 1.b-f b. Interpretation 1 of mm c. Interpretation 2 D M scale degrees 1ˆ 2ˆ 3ˆ 4ˆ 7ˆ Major scale degrees 1ˆ 2ˆ 3ˆ 4ˆ 7ˆ m9 cseg <01> aa Tonic: CM Triad Assuming absolute pitch, you hear two layers with distinct tonal relations/functions in D and C Major. Root, third, and Fifth of CM triad are all equally present. The relation of minor ninth between the two layers is equally present. Visual Analogy: An abundance of pitch relationships all in sharp focus from the center out to the periphery. Tonic: Root of Major Triad Two distinct tonal layers in an ambiguous relation to one another (thus the arrow labeled cseg <01>). Root of tonic triad and scale degree 1 more prominent than other pitches within their respective layers. The tonal relations, particularly scale degree 1, in Violin 1 is much more focally prominent than the pitch relations in other layers. Example 1. Continued.

4 Harcus, Varieties of Tone Presence 4 d. Interpretation 3 e. Interpretation 4 m9 elaborated by cseg <0123> P8 M: 5ˆ 6ˆ 7ˆ 1ˆ m9 P8 Tonic: Major Triad Root Tonic: M triad The motion from m9 between layers to the octave is focally prominent. Slightly less prominent is the experience of two distinct layers converging into one layer, the Major tonic triad. The m9 above the tonic root is elaborated in Violin 1 by a stepwise ascending figure without any tonal or set-class implications. Root of Major Triad Major Triad Similar to Interpretation 3, but with two differences: 1) cseg <0123> is heard as scale degrees 5, 6, 7, 1 in major, and 2) The root of the major triad is NOT heard as a tonic chord. f. Interpretation 5, mm Convergence of two layers into a single major chord. M: sol-la-ti-do Growing isolation between the two layers Two layers retain their own distinct M: do-re-me-fa-ti Root of Major Triad Up P5 Root of Minor Triad Two chords lack tonal focus and the roots of the chords are still focally prominent. The motion up a perfect between the two chords is focally prominent. Greater isolation between layers, as the second instance of the prominent descending m2 in Violin 1 (E-D ) does not resolve into the chordal layer. Example 1. Continued.

5 Harcus, Varieties of Tone Presence 5 II. Traditional Approaches to Tone Presence ( Chunk and Match ) 3) Tone Presence: A match is found, a structural description assigned (the propositional light bulb is turned on), and the object is experienced now. Formal Models Representational Models: Schemata (Prototype or Exemplar-based) Location (or relative distance between two chords) in some quality space Grammar (primitives + rules of combination) Open-Ended/Subjectively Autonomous models: Associative Set GIS/Transformational Network 2) Match : Identity or Best fit between musical object and formal model. Principles of Segmentation Sonic (S 1 and S 2) or Contextual Criteria (given two+ segments) Well- Formedness (WFR) and Preference Rules (PRs) 1) Chunk : Break stream up into objects Continuous stream of music Example 2. Schematic Outline of Traditional Approach to Tone Presence ( Chunk and Match ). III. Phenomenology of Now and the Embedded Character of Temporal Experience How should we characterize Now? Quote 1 (Noë 2012, 77-78): What you hear when you experience the temporal extent of the note are not the sounds that have already passed out of existence What you experience, rather, is the rising of the current sounds out of the past; you hear the current sounds as surging forth from the past. You hear them as a continuation. This is to say, moving on to a better approximation, you hear them as having a certain trajectory or arc, as unfolding in accordance with a definite law or pattern. It is not the past that is present in the current experience; rather, it is the trajectory or arc that is present now, and of course the arc describes the relation of what is now to what has already happened (and to what may still happen). (italics in original, bold my own).

6 Harcus, Varieties of Tone Presence 6 Quote 2 (Hasty 1997, 76): I suggest that now might be regarded as a continually changing perspective on becoming. Now is continually changing and ever new, because becoming is ever new and never fixed or arrested. What has become is fixed and past, but what is past becomes past only with a new becoming and is past only for what is becoming or will become. By calling now a perspective I mean that it is a view taken on present becoming from the standpoint of the particular opportunities offered by what has become and what might become. In this way, now might be considered most generally as a condition for freedom of action and more specifically as a condition for feeling rhythm (emphasis my own). Larger, ongoing situation (e.g., phrase formation, topic, gesture, etc.) that impinges on the immediate scope Immediate Scope Arc or trajectory of sound ( Now ) (beginning) Past Aspect* tone object (traditional segment ) \ (continuation) Present Aspect indeterminate tone object *The use of the word aspect in past and present aspect refers to a suggestion from Hasty 2010 that past, present and future represent three aspects (or faces ) of one unified time. Example 3. Schematic Representation of the Embedded Character of Temporal Experience. Two main points regarding Example 3 with respect to tone presence: 1) The past aspect corresponds to what is traditionally identified as the segment; HOWEVER, it is not the segment (or past aspect) itself that is present to experience; instead what we hear is the trajectory of the tone object arising out of this segment ( past aspect ). 2) It is this process of the segment coming into being by virtue of being made past and relevant for present becoming that helps determine the relevant immediate scope of the tone object.

7 Harcus, Varieties of Tone Presence 7 A. Measures (024579) [143250] B. Analytical Reduction of measures 1-6. \ Major diatonic: do-ti ti (only realized at this durational level) \ la mi (?) \(re?) \ (do?) (la?) \(re) \ Example 4. String Quartet no. 4, third movement. \ 6-32 (024579): stacked fourths Example 5. Schoenberg, Chamber Symphony no. 1, op. 9, Figure 77.

8 Harcus, Varieties of Tone Presence 8 Select Bibliography Barsalou, Lawrence. Grounded Cognition. Annual Review of Psychology 59 (2008): Gallagher, Shaun, and Dan Zahavi. The Phenomenological Mind: An Introduction to Philosophy of Mind and Cognitive Science. New York: Routledge, Gjerdingen, Robert. Music in the Galant Style. New York: Oxford University Press, Guck, Marion. Analysis as Interpretation: Interaction, Intentionality, Invention. Music Theory Spectrum 28 (Fall, 2006): Hanninen, Dora. A Theory of Music Analysis: On Segmentation and Associative Organization. Rochester: University of Rochester Press, Hasty, Christopher. Meter as Rhythm. New York: Oxford University Press, If Music is Ongoing Experience, What Might Music Theory Be?: A Suggestion from the Drastic. Zeitschrift der Gesellschaft für Musiktheorie (2010): Huron, David. Sweet Anticipation: Music and the Psychology of Expectation. Cambridge, MA: MIT Press, Ismael, Jenann. Temporal Experience. In The Oxford Handbook of Philosophy of Time, edited by Clifton Callender, New York: Oxford University Press, Kelly, Sean D. The Relevance of Phenomenology to the Philosophy of Language and Mind. New York: Garland Publications, The Puzzle of Temporal Experience. In Cognition and the Brain: The Philosophy and Neuroscience Movements, edited by Andrew Brook and Kathleen Akins, New York: Oxford University Press. Krumhansl, Carol. Cognitive Foundations of Pitch. New York: Oxford University Press, Lakoff, George. Women, Fire, and Dangerous Things: What Categories Reveal About the Mind. Chicago: University of Chicago Press, Langacker, Ronald. Cognitive Grammar: A Basic Introduction. New York: Oxford University Press, Lerdahl, Fred, and Ray Jackendoff. Generative Theory of Tonal Music. Cambridge, Mass: MIT Press, Lewin, David. Music Theory, Phenomenology, and Modes of Perception. Music Perception 3 (Summer, 1986): Generalized Musical Intervals and Transformations. New Haven: Yale University Press, Lochhead, Judith. The Metaphor of Musical motion: Is There an Alternative. Theory and Practice 14/15 (1989/1990); Malt, Barbara C. Category Coherence in Cross-Cultural Perspective. Cognitive Psychology 29 (1995): Why We Should Do Without Concepts. Mind and Language 25 (2010): Marvin, Elizabeth West. Tonal/Atonal : Cognitive Strategies for Recognizing Transposed Melodies. In Music Theory in Concept and Practice, edited by James M. Baker, David W. Beach, and Jonathan W. Bernard. Rochester, NY: University of Rochester Press, Noë, Alva. Varieties of Presence. Cambridge: Harvard University Press, Quinn, Ian. Generalized Equal-Tempered Harmony (II and III). Perspectives of New Music 45 (Winter, 2007): Rings, Steven. Tonality and Transformation. New York: Oxford University Press, Straus, Joseph N. Voice Leading in Set-Class Space. Journal of Music Theory 49/1 (Spring, 2005): The Pitch Language of the Bartók Quartets. In Intimate Voices: The Twentieth-Century String Quartets, edited by Evan Jones, Rochester, NY: University of Rochsester Press, Yeh, Wenchi, and Lawrence Barsalou. The Situated Nature of Concepts. American Journal of Psychology 119 (Fall, 2006):

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