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“Verschmelzung”, tonal fusion, and consonance: Carl Stumpf revisited

  • II. From Pitch to Harmony
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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1317))

Abstract

This article discusses C. Stumpf's concept of “Verschmelzung”, as part of his philosophical and psychological theories including consonance since these are not generally known today. In particular, it is shown how Stumpf had elaborated his concept in certain respects from the Tonpsychologie (Stumpf, 1883, 1890) to his final writings. To allow a more adequate understanding of Stumpf, also his ideas on concordance and discordance are briefly summarized. Further, it is argued that “Verschmelzung” is related to, yet not identical with modern views of tonal fusion. In connection with Stumpf's criteria for integral hearing (“einheitliches Hören”), issues and experimental findings on tonal fusion are surveyed, and are interpreted also with respect to neurophysiological mechanisms that are possibly relevant to perception of fusion. It can be hypothesized that fusion — as being prerequisite to the experience of consonance — is a natural rather than a cultural phenomenon. Finally, Stumpf's assertion according to which the sensational attribute of roughness, and the perceptual quality of dissonance, can be separated from each other, is reexamined on the basis of experimental data.

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References

  • Aures, W. (1985). Der sensorische Wohlklang als Funktion psychoakustischer Empfindungsgrössen. Acustica, 58, 282–290.

    Google Scholar 

  • Berlyne, D. (1971). Aesthetics and psychobiology. New York: Appleton-Century-Crofts.

    Google Scholar 

  • Boring, E. (1950). A history of experimental psychology (2nd ed.). Englewood Cliffs, NJ: Prentice-Hall.

    Google Scholar 

  • Bregman, A. (1990). Auditory scene analysis. Cambridge, MA: The MIT Press.

    Google Scholar 

  • Brentano, F. (1924/28). Psychologie vom empirischen Standpunkt, Vols.1–3. Leipzig: F. Meiner. (Vol.1 was first published in 1874)

    Google Scholar 

  • Cohen, E. (1984). Some effects of inharmonic partials on interval perception. Music Perception, 1, 323–349.

    Google Scholar 

  • Coninx, F. (1977). On the perception of changes in amplitude and frequency of acoustic signals.

    Google Scholar 

  • de Boer, E. (1976). On the “residue” and auditory pitch perception. In W. Keidel & W. Neff (Eds.), Handbook of sensory physiology, Vol. V,3. Berlin, Heidelberg: Springer-Verlag.

    Google Scholar 

  • Delgutte, B. (1996). Physiological models for basic auditory percepts. In H. Hawkins, T. McMullen, A. Popper, & R. Fay (Eds.), Auditory computation. New York, Berlin, Heidelberg: Springer-Verlag.

    Google Scholar 

  • DeWitt, L., & Crowder, R. (1987). Tonal fusion of consonant musical intervals: The oomph in Stumpf. Perception and Psychophysics, 41, 73–84.

    Google Scholar 

  • Duifhuis, H. (1970). Audibility of high harmonics in a periodic pulse. The Journal of the Acoustical Society of America, 48, 888–893.

    Google Scholar 

  • Duifhuis, H. (1971). Audibility of high harmonics in a periodic pulse II. The Journal of the Acoustical Society of America, 49, 1155–1162.

    Google Scholar 

  • Ehret, G. (1988). Frequency resolution, spectral filtering, and integration on the neuronal level. In G. Edelman, W. Gall, & W. Maxwell (Eds.), Auditory function: Neurobiological bases of hearing. New York, Chichester: Wiley.

    Google Scholar 

  • Evans, E. (1992). Auditory processing of complex sounds: An overview. Phil. Trans. R. Soc. London Series B, 336, 295–306.

    Google Scholar 

  • Faist, A. (1897). Versuche über Tonverschmelzung. Zeitschrift für Psychologie, 15, 102–131.

    Google Scholar 

  • Gurvitch, A. (1975). Das Bewußtseinsfeld. Berlin, New York: de Gruyter. (Ed. from the original typescript by W. Fröhlich)

    Google Scholar 

  • Hall, D., & Hess, J. (1984). Perception of musical interval tuning. Music Perception, 2, 166–195.

    Google Scholar 

  • Hesse, H. (1972). Die Wahrnehmung von Tonhöhe und Klangfarbe als Problem der Hörtheorie. Köln: A. Volk.

    Google Scholar 

  • Houtsma, A., & Smurzynski, J. (1990). Pitch identification and discrimination for complex tones with many harmonics. The Journal of the Acoustical Society of America, 87, 304–310.

    Google Scholar 

  • Huron, D. (1991). Tonal consonance versus tonal fusion in polyphonic sonorities. Music Perception, 9, 135–154.

    Google Scholar 

  • Husserl, E. (Ed.). (1913/1980). Logische Untersuchungen, Vol.II, I. Halle: M. Niemeyer. (1913, reprinted as 6th edition in Tübingen: M. Niemeyer 1980)

    Google Scholar 

  • Husserl, E. (1976). Erfahrung und Urteil. Untersuchungen zur Genealogie der Logik. Hamburg: F. Meiner. (Ed. by L. Landgrebe, 4th Edition)

    Google Scholar 

  • Hutchinson, W., & Knopoff, L. (1978). The acoustic component of western consonance. Interface, 7, 1–29.

    Google Scholar 

  • Kameoka, A., & Kuriyagawa, M. (1969). Consonance theory part 1: Consonance of dyads. The Journal of the Acoustical Society of America, 45, 1451–1459.

    Google Scholar 

  • Keidel, W. (1975). Physiologie des Gehörs. Akustische Informationsverarbeitung. Stuttgart: G. Thieme.

    Google Scholar 

  • Keidel, W. (1989). Biokybernetik des Menschen. Darmstadt: Wiss. Buchges.

    Google Scholar 

  • Keidel, W. (1992). Das Phänomen des Hörens: Ein interdisziplinärer Diskurs. Naturwissenschaften, 79, 300–310; 347–357.

    Google Scholar 

  • Khanna, S., Ulfendahl, M., & Flock, Å. (1989a). Modes of cellular vibration in the organ of corti. Acta otolaryng. Stockholm, Suppl. 467, 183–188.

    Google Scholar 

  • Khanna, S., Ulfendahl, M., & Flock, Å. (1989b). Waveforms and spectra of cellular vibrations in the organ of corti. Acta otolaryngol. Stockholm, Suppl. 467, 189–193.

    Google Scholar 

  • Kohlrausch, A., & Houtsma, A. (1992). Pitch related to spectral edges of broadbent signals. Phil. Trans. R. Soc. London B, 336, 375–382.

    Google Scholar 

  • Külpe, O. (1893). Grundriss der Psychologie. Leipzig: Engelmann.

    Google Scholar 

  • Langner, G., Schreiner, C., & Albert, M. (1992). Tonotopy and periodotopy in the auditory midbrain of cat and guinea fowl. Advances in the Biosciences, 83, 241–247.

    Google Scholar 

  • Lyon, R., & Shamma, S. (1996). Auditory representations of timbre and pitch. In H. Hawkins, T. McMullen, A. Popper, & R. Fay (Eds.), Auditory computation. New York, Berlin, Heidelberg: Springer-Verlag.

    Google Scholar 

  • Mathews, M., & Pierce, J. (1980). Harmony and nonharmonic partials. The Journal of the Acoustical Society of America, 68, 1252–1257.

    Google Scholar 

  • McAdams, S. (1982). Spectral fusion and the creation of auditory images. In M. Clynes (Ed.), Music, mind, and brain. New York: Plenum Press.

    Google Scholar 

  • Meyer, J. (1979). Zur Tonhöhenempfindung bei musikalischen Klängen in Abhängigkeit vom Grad der Gehörschulung. Acustica, 42, 189–204.

    Google Scholar 

  • Moore, B. (1993). Frequency analysis and pitch perception. In W. Yost, A. Popper, & R. Fay (Eds.), Human psychophysics. New York, Berlin, Heidelberg: Springer-Verlag.

    Google Scholar 

  • Moore, B., Peters, R., & Glasberg, B. (1985). Thresholds for the detection of inharmonicity in complex tones. The Journal of the Acoustical Society of America, 77, 1861–1867.

    Google Scholar 

  • Parncutt, R. (1989). Harmony: A psychoacoustic approach. Berlin, Heidelberg: Springer-Verlag.

    Google Scholar 

  • Patterson, R. (1990). The tone height of multi-harmonic tones. Music Perception, 8, 203–214.

    Google Scholar 

  • Plomp, R. (1976). Aspects of tone sensation. London, New York: Academic Press.

    Google Scholar 

  • Plomp, R., & Levelt, W. (1965). Tonal consonance and critical bandwidth. The Journal of the Acoustical Society of America, 38, 548–560.

    Google Scholar 

  • Pongratz, L. (1967). Problemgeschichte der Psychologie. Bern, München: Francke.

    Google Scholar 

  • Rasch, R. (1984). Theory of Helmholtz-beat frequencies. Music Perception, 1, 308–322.

    Google Scholar 

  • Reinecke, H. (1964). Experimentelle Beiträge zur Psychologie des musikalischen Hörens. Hamburg: Sikorski.

    Google Scholar 

  • Scharf, B. (1970). Critical bands. In J. Tobias (Ed.), Foundations of modern auditory theory, Vol. 1. New York, London: Academic Press.

    Google Scholar 

  • Schmidt, L. (1996). Natürliche und unnatürliche Skalen? Systematische Musikwissenschaft, 3, 59–70.

    Google Scholar 

  • Schneider, A. (1991). On concepts of “tonal space” and the dimensions of sound. In R. Spintge & R. Droh (Eds.), Musicmedicine. St. Louis: MMB.

    Google Scholar 

  • Schneider, A. (1994). Tone system, intonation, aesthetic experience: Theoretical norms and empirical findings. Systematische Musikwissenschaft, 2, 221–254.

    Google Scholar 

  • Schneider, A. (1996). Perception of inharmonic sounds: Theoretical implications, empirical findings. In R. Pratt & R. Spintge (Eds.), Musicmedicine 2. St. Louis: MMB.

    Google Scholar 

  • Schneider, A. (1997a). On categorical perception of pitch and the recognition of intonation variants. In P. Pylkkänen (Ed.), Mind, brain and physics. Amsterdam: I.O.S. Press.

    Google Scholar 

  • Schneider, A. (1997b). Skala-Tonhöhe-Sound. Bonn: Verlag für Systematische Musikwissenschaft. (Forthcoming)

    Google Scholar 

  • Schneider, A., & Beurmann, A. (1991). Tonsystem, Frequenzdistanz, Klangformen und die Bedeutung experimenteller Forschung für die Vergleichende Musikwissenschaft. Hamburger Jahrbuch der Musikwissenschaft, 11, 179–223.

    Google Scholar 

  • Schneider, A., & Beurmann, A. (1994). Tonhöhe-Intervall-Distanz: Zur Wahrnehmung von Klängen mit inharmonischen Spektren. Systematische Musikwissenschaft, 2, 113–143.

    Google Scholar 

  • Sethares, W. (1993). Local consonance and the relationship between timbre and scale. The Journal of the Acoustical Society of America, 94, 1218–1228.

    Google Scholar 

  • Srulovicz, P., & Goldstein, J. (1983). A central spectrum model: A synthesis of auditory nerve timing and place cues in monaural communication of frequency spectrum. The Journal of the Acoustical Society of America, 73, 1266–1276.

    Google Scholar 

  • Stumpf, C. (1873). Über den psychologischen Ursprung der Raumvorstellung. Leipzig: S. Hirzel. (Reprinted in Amsterdam by Bonset 1965)

    Google Scholar 

  • Stumpf, C. (1883). Tonpsychologie, Vol. I. Leipzig: S. Hirzel.

    Google Scholar 

  • Stumpf, C. (1890). Tonpsychologie, Vol. II. Leipzig: S. Hirzel.

    Google Scholar 

  • Stumpf, C. (1897). Neueres über Tonverschmelzung. Zeitschrift für Psychologie, 15, 280–303.

    Google Scholar 

  • Stumpf, C. (1898). Konsonanz und Dissonanz. Leipzig: J.A. Barth. (Beiträge zur Akustik und Musikwissenschaft, Heft 1)

    Google Scholar 

  • Stumpf, C. (1907). Erscheinungen und psychische Funktionen. Berlin: Akad. d. Wiss. and D. Reimer. (Abhandl. Königl. Preuss. Akad. der Wiss., Jg. 1906 4. Abhdl.)

    Google Scholar 

  • Stumpf, C. (1911). Konsonanz und Konkordanz. Zeitschrift für Psychologie, 58, 321–355.

    Google Scholar 

  • Stumpf, C. (1914/15). Über neuere Untersuchungen zur Tonlehre. In Bericht über den 6. Kongress für exp. Psychol. 1914 (p. 305–344). Leipzig: J.A. Barth. (Reprinted in Beiträge zur Akustik und Musikwissenschaft, Heft 8, 1915, pages 17–56)

    Google Scholar 

  • Stumpf, C. (1919). Empfindung und Vorstellung. Berlin: Akad. d. Wiss./d. Reimer. (Abhandl. Preuss. Akad. der Wiss., Jg. 1918, Phil.-hist. Kl.)

    Google Scholar 

  • Stumpf, C. (1924). Carl Stumpf. In R. Schmidt (Ed.), Philosophie in Selbstdarstellungen, Vol. 5. Leipzig: F. Meiner.

    Google Scholar 

  • Stumpf, C. (1926). Die Sprachlaute. Berlin: J. Springer.

    Google Scholar 

  • Stumpf, C. (1939). Erkenntnislehre (Vol. 1). Leipzig: J.A. Barth.

    Google Scholar 

  • Tembrock, G. (1978). Bioakustik, Musik und Sprache. Berlin: Akademie-Verlag. (Sitzungsber. Akad. Wiss. DDR, Mathemathik-Naturwiss.-Technik, Jg. 1978, 1/N)

    Google Scholar 

  • Terhardt, E. (1974). Pitch, consonance, and harmony. The Journal of the Acoustical Society of America, 55, 1061–1069.

    Google Scholar 

  • Terhardt, E. (1976). Ein psychoakustisch begründetes Konzept der musikalischen Konsonanz. Acustica, 86, 121–137.

    Google Scholar 

  • v.Helmholtz, H. (1870). Die Lehre von den Tonempfindungen als physiologische Grundlage. Braunschweig: Fr. Vieweg. (Original work published in 1863)

    Google Scholar 

  • Vogel, M. (1993). On the relations of tone. Bonn: Verlag für System. Musikwiss.

    Google Scholar 

  • Wundt, W. (1896/1928). Grundriss der Psychologie. Leipzig: Engelmann. (1st ed. 1896, 15th ed. 1928)

    Google Scholar 

  • Zenner, H. (1993). Hören. In R. Schmidt (Ed.), Neuro-und Sinnesphysiologie. Berlin, Heidelberg: Springer-Verlag.

    Google Scholar 

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Marc Leman

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Schneider, A. (1997). “Verschmelzung”, tonal fusion, and consonance: Carl Stumpf revisited. In: Leman, M. (eds) Music, Gestalt, and Computing. JIC 1996. Lecture Notes in Computer Science, vol 1317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0034111

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  • DOI: https://doi.org/10.1007/BFb0034111

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