The Frequency Range Applicable to Pitch Identification Based upon the Auto-Correlation Function Model

Abstract Pitch identification experiments were conducted to determine the upper boundary of the frequency range within which the autocorrelation function (ACF) model described by Ando (see Reference [16]) is applicable to the phenomenon of the missing fundamental of a complex tone. Pitch-matching tests were conducted using: (1) complex tones consisting of 2 f , 3 f , and 4 f (where f denotes the fundamental frequencies of 0·5, 1·0, 1·2, 1·6, 2·0, or 3·0 kHz) and (2) complex tones consisting of 2 f and 3 f . These tests showed that, for both kinds of complex tones, the ACF model can account for the perception of pitch when the fundamental frequency is below 1200 Hz.

[1]  W A Yost,et al.  A time domain description for the pitch strength of iterated rippled noise. , 1996, The Journal of the Acoustical Society of America.

[2]  K Ohgushi On the role of spatial and temporal cues in the perception of the pitch of complex tones. , 1978, The Journal of the Acoustical Society of America.

[3]  A. Cheveigné Cancellation model of pitch perception. , 1998 .

[4]  P. E. Stopp Frequency analysis and periodicity detection in hearing 1971, Plomp and Smoorenburg (Editors). Leiden, Netherlands: Sijthoff Leiden. Cloth, Fl. 60 , 1971 .

[5]  Ray Meddis,et al.  Virtual pitch and phase sensitivity of a computer model of the auditory periphery , 1991 .

[6]  F. Wightman Pitch and stimulus fine structure. , 1973, The Journal of the Acoustical Society of America.

[7]  A. Small,et al.  The influence of temporal cues on the strength of periodicity pitches. , 1984, The Journal of the Acoustical Society of America.

[8]  Yoichi Ando Architectural Acoustics: Blending Sound Sources, Sound Fields, and Listeners , 1998 .

[9]  F. Wightman The pattern-transformation model of pitch. , 1973, The Journal of the Acoustical Society of America.

[10]  R. Ritsma Frequencies dominant in the perception of the pitch of complex sounds. , 1966, The Journal of the Acoustical Society of America.

[11]  E. Terhardt Pitch, consonance, and harmony. , 1974, The Journal of the Acoustical Society of America.

[12]  R. Meddis,et al.  Virtual pitch and phase sensitivity of a computer model of the auditory periphery. II: Phase sensitivity , 1991 .

[13]  W. Yost Pitch of iterated rippled noise. , 1996, The Journal of the Acoustical Society of America.

[14]  J. L. Goldstein An optimum processor theory for the central formation of the pitch of complex tones. , 1973, The Journal of the Acoustical Society of America.

[15]  S. S. Stevens The Relation of Pitch to Intensity , 1935 .

[16]  W. Yost Pitch and pitch discrimination of broadband signals with rippled power spectra. , 1978, The Journal of the Acoustical Society of America.