Cj. Darwin et al., EFFECTS OF FREQUENCY AND AMPLITUDE-MODULATION ON THE PITCH OF A COMPLEX TONE WITH A MISTUNED HARMONIC, The Journal of the Acoustical Society of America, 95(5), 1994, pp. 2631-2636
It has previously been found that when a single low-numbered harmonic
of a complex tone is progressively mistuned, for mistunings up to abou
t 3%, the pitch of the complex changes in the direction of the mistuni
ng but for larger mistunings (by about 8%) the pitch returns to its or
iginal value. This result is compatible with the operation of a mechan
ism such as a graded harmonic sieve, which can reject from the calcula
tion of pitch those frequency components that are implausibly distant
from a harmonic frequency. The first experiment shows that the toleran
ce of such a sieve is increased when all the components of the complex
tone (including the mistuned component) share a common pattern of fre
quency modulation at a rate of 6 Hz. The second experiment shows that
the tolerance of the sieve is not increased when the components share
a common pattern of amplitude modulation at 17 Hz. The third experimen
t replicates these findings and further shows that the increase in sie
ve tolerance for FM, but not for AM, occurs at both 6 and at 17 Hz.