The purpose of this study was to provide evidence for the perceptual component of an analysis of pitch relationships in tonal music that includes consideration of both formal analytic systems and musical listeners' responses to tonal relationships in musical contexts. It was hypothesized (1) that perception of tonal centers in music develops from listeners' interpretations of time-dependent contextual (functional) relationships among pitches, rather than primarily through knowledge of psychoacoustical or structural characteristics of the pitch content of sets or scales and (2) that critical perceptual cues to functional relationships among pitches are provided by the manner in which particular intervallic relationships are expressed in musical time. Excerpts of tonal music were chosen to represent familiar harmonic relationships across a spectrum of tonal ambiguity/specificity. The pitch-class sets derived from these excerpts were ordered: (1) to evoke the same tonic response as the corresponding musical excerpt, 2) to evoke another tonal center, and (3) to be tonally ambiguous. The effect of the intervallic contents of musical excerpts and strings of pitches in determining listeners' choices of tonic and the effect of contextual manipulations of tones in the strings in directing subjects' responses were measured and compared. Results showed that the musically trained listeners in the study were very sensitive to tonal implications of temporal orderings of pitches in determining tonal centers. Temporal manipulations of intervallic relationships in stimuli had significant effects on concurrences of tonic responses and on tonal clarity ratings reported by listeners. The interval rarest in the diatonic set, the tritone, was the interval most effective in guiding tonal choices. These data indicate that perception of tonality is too complex a phenomenon to be explained in the time-independent terms of psychoacoustics or pitch- class collections, that perceived tonal relationships are too flexible to be forced into static structural representations, and that a functional interpretation of rare intervals in optimal temporal orderings in musical contexts is a critical feature of tonal listening strategy.

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References

References
Attneave, F., ÔC Olson, R. Pitch as a medium: A new approach to psych ophysical scaling. American journal of Psychology y 1971, 84, 147-166.
Babbitt, M. Twelve-tone invariants as compositional determinants. The Musical Quarterly, 1960, 46(2), 246-259.
Babbitt, M. The structure and function of musical theory. College Music Symposium, 1965, 5 (Fall). Reprinted in B. Boretz and E. Cone (Eds.), Perspectives on contemporary music theory. New York: W. W. Norton and Company, 1972, pp. 10-21.
Balzano, G. The structural uniqueness of the diatonic order. Paper presented at the Western Psychological Association Symposium: Cognitive structure of musical pitch, San Fran- cisco, April 20, 1978.
Bharucha, J. Anchoring effects in music: The resolution of dissonance. Cognitive Psychol- ogy, 1984, 16, 485- 518.
Bharucha, J., & Krumhansl, C. The representation of harmonic structure in music: Hierar- chies of stability as a function of context. Cognition, 1983, 13, 63-102.
Brown, H., &c Butler, D. Diatonic trichords as minimal tonal cue-cells. In Theory Only, 1981, 5(6,7), 39-55.
Browne, R. Tonal implications of the diatonic set. In Theory Only, 1981, 5(6, 7), 3-21.
Bruner, C. The perception of contemporary pitch structures. Music Perception, 1984, 2(1), 25-39.
Butler, D. The initial identification of tonal centers in music. Paper presented at the NATO Conference on the Acquisition of Symbolic Skills, Keele, England, July 5-10, 1982.
Cazden, N. Tonal function and sonority in the study of harmony. Journal of Research in Music Education, 1954, 2(1), 21-34.
Cazden, N. The definition of consonance and dissonance. International Review of Aesthet- ics and Sociology of Music, 1980, 11(2), 123-168.
Cuddy, L., Cohen, A., & Mewhort, D. J. K. Perception of structure in short melodic se- quences. Journal of Experimental Psychology: Human Perception and Performance, 1981,7,869-882.
Deutsch, D. Octave generalization and tune recognition. Perception and Fsychophysics, 1972,11,411-412.
Deutsch, D. The processing of structured and unstructured tonal sequences. Perception and Psychophysics, 1980, 28(5), 381-389.
Deutsch, D. The processing of pitch combinations. Chapter 9 in D. Deutsch (Ed.), The psy- chology of music. New York: Academic Press, 1982, 266-316.
Deutsch, D. Two issues concerning tonal hierarchies: Comment on Castellano, Bharucha, and Krumhansl. Journal of Experimental Psychology: General, 1984, 3, 412-416.
Dowling, W. J. Recognition of inversions of melodies and melodic contours. Perception and Psychophysics, 1971, £(3B), 348-349.
Farnsworth, P. Atonic endings in melodies. American Journal of Psychology, 1925, 36, 394-400.
Fechner, G. Elemente der Psychophysik. Leipzig: Breitkopf und Haertel, 1860.
Fechner, G. Vorschule der Aesthetic. Leipzig: Breitkopt und Haertel, 1876.
Ferris, J. The evolution of Rameau's harmonic theories. Journal of Music Theory, 1959, 3(2), 240-259.
Fétis, F. Traité complet de la théorie et de la pratique de l harmonie. Bruxelle: Au Conserva- toire, 1844.
Forte, A. The structure of atonal music. New Haven: Yale University Press, 1973.
Frances, R. La perception de la musique. Paris: Librairie Philosophique J. Vnn, 1958. Sec- ond Edition, with an English summary, 1972.
Gabrielsson, A. Music psychology: A survey of problems and current research activities. In Basic musical functions and musical ability, 1981. Swedish Royal Academy Publications #32.
Gibson, D. The aural perception of nontraditional chords in selected theoretical relation- ships: A computer-generated experiment. Journal of Research in Music Education, 1986, 34(1), 5-23.
Helmholtz, H. von. [ On the sensations of tone as a physiological basis for the theory of music] A. Ellis (Ed., Trans.), Second English Edition. New York: Dover reprint, 1954. (Originally published, 1863.)
Jones, M. R. Time, our lost dimension: Toward a new theory of perception, attention, and memory. Psychological Review, 1976, 83, 323-355.
Jones, M. R. Only time can tell: On the topology of mental space and time. Critical Inquiry, 1981,7,557-576.
Keiler, A. Music as metalanguage: Rameau's fundamental bass. Chapter 4 in Richmond Browne (Ed.), Music theory special topics. New York: Academic Press, 1981, 83-100.
Keppel, G. Design and analysis: A researcher's handbook. Englewood Cliffs: Prentice Hall, 1973.
Kramer, J. Studies of time and music: A bibliography. Music Theory Spectrum, 1985, 7, 72- 106.
Krumhansl, C. The psychological representation of musical pitch in a tonal context. Cogni- tive Psychology, 1979, 11,346-374.
Krumhansl, C, Bharucha, J., & Kessler, E. Perceived harmonic structure of chords in three related musical keys. Journal of Experimental Psychology: Human Perception and Per- formance, 1982, 8, 24-36.
Krumhansl, C, & Kessler, E. Tracing the dynamic changes in perceived tonal organization in a spatial representation of musical keys. Psychological Review, 1982, 89, 334-368.
Krumhansl, C, & Shepard, R. Quantification of the hierarchy of tonal functions within a diatonic context. Journal of Experimental Psychology: Human Perception and Perform- ance, 1979, 5, 579-594.
Laske, O. On problems of verification in music theory. College Music Symposium, 1979, 19(2), 129-139.
Lerdahl, F., & Jackendoff, R. A generative theory of tonal music. Cambridge: MIT Press, 1983.
Longuet-Higgins, H. C. The perception of music. Proceedings of the Royal Society of Lon- don, B205, 1979, 307-322.
Mathews, M., & Pierce, J. Harmony and nonharmonic partials. Journal of the Acoustical Society of America, 1980, 68(5), 1252-1257.
Panion, H. An experimental study of relationships among selected musical abilities. Masters thesis, The Ohio State University, 1983.
Poland, W. Theories of music and musical behavior. Journal of Music Theory, 1963, 7(2), 150-173.
Poland, W. The perception of sound as music. Paper presented at the Meeting of the Ameri- can Association for the Advancement of Science, Philadelphia, Pennsylvania, December 26-31, 1971.
Proctor, G. Technical bases of nineteenth century chromatic tonality: A study in chromati- cism. Doctoral dissertation, Princeton University, 1977.
Rameau, J. P. Traité de l'harmonie, 1722. Volume 1 of Erwin Jacobi (Ed.), Jean-Philippe Rameau: Complete Theoretical Writings. Rome: American Institute of Musicology, 1967-1972. Philip Gossett (Ed., Trans.), Treatise on Harmony. New York: Dover Publi- cations, Incorporated, 1971.
Rameau, J. P. Generation harmonique, 1737. Volume 3 of Erwin Jacobi (Ed.), Jean- Philippe Rameau: Complete theoretical writings. Rome: American Institute of Musicol- ogy, 1967-1972. Deborah Hayes (Ed., Trans.), Rameau's Generation harmonique. Un- published Doctoral dissertation, Stanford University, 1974.
Randall, J. K. Two lectures to scientists. In B. Boretz & E. Cone (Eds.), Perspectives on con- temporary music theory. New York: W. W. Norton and Company, 1972, 116-126.
Roberts, L., & Shaw, M. Perceived structure of musical triads. Music Perception, 1984, 2(1), 95-124.
Sachs, C. The rise of music in the Ancient World, East and West. New York: W. W. Norton & Company, 1943.
Schenker, H. [Free composition: Volume HI of New musical theories and fantasies. ] E. Os- ter (Ed., Trans.). New York: Longman, 1979. (Originally published, 1935.)
Seranne, M. L. Review of The psychology of music, D. Deutsch, (Ed.). Journal of Music Theory, 1984, 25(2), 134-141.
Shepard, R. Structural representations of musical pitch. In D. Deutsch (Ed.), The psychology of music. New York: Academic Press, 1982, 344-390.
Smith, C. J. The functional extravagance of chromatic chords. Music Theory Spectrum, 1986, 8, 94-139.
Taylor, J. The perception of tonality in short melodies. Journal of Research in Music Educa- tion, 1976, 24(4), 197-208.
Terhardt, E. The two-component theory of musical consonance. In E. Evans and J. Wilson (Eds.), Psychophysics and physiology of hearing. London: Academic Press, 1977, 381- 390.
Terhardt, E. Psychoacoustical evaluation of musical sounds. Perception and Psychophysics, 1978, 23(6), 483-492.
Terhardt, E. The impact of computers on music: An outline. Chapter 18 in M. Clynes (Ed.), Music, mind, and brain. New York: Plenum Press, 1982, 353-369.
Thomson, W. A clarification of the tonality concept. Doctoral dissertation, Indiana Univer- sity, 1952.
Walsh, S. Musical analysis: Hearing is believing? Music Perception, 1984, 2(2), 237-244.
White, B. Recognition of distorted melodies. American journal of Psychology, 1960, 73, 100-107.
Williams, D. B. A study of tonal strength and its influence on melodic memory. Paper pre- sented at the Research Symposium on the Psychology and Acoustics of Music, Lawrence, Kansas, February 22-23, 1979.
Zappa, r. Is new music relevant in an industrial society? Faper presented at trie Nineteenth Annual Festival-Conference of the American Society of University Composers, Colum- bus, Ohio, April 5, 1984.
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