SAWS's are acoustic stimuli in which an impulse response of vocal tract and its scaled version are alternately placed in the time domain at a constant periodic rate. When the scale factor is close to unity (1.0), the perceived pitch corresponded to the original periodicity. As the difference in the scaling became large, the pitch tended to be matched to what corresponds to be lower than the original by an octave. One of the characteristics of this pitch shift was that the pitch chroma did not change. This sort of pitch continuum could not be realized by changing the fundamental frequency of harmonic complex tones, but could be realized by attenuating the odd harmonics of them. Two auditory models were used to predict this pitch shift phenomenon, i.e., AIM by Patterson's group; STRF by Shmma's group. Both models could predict the pitch shift by an octave, but AIM predicted the pitch ambiguity better than STRF. While it is easy to find the secondary local peak of periodicity besides the primary peak, the peak activity in STRF was singular in most cases. The results suggested that AIM could preserve the temporal fine structure better than STRF.