| The difference in tone pitch affects the perception of time,called the auditory pitch kappa effect.The greater the gap between the two auditory stimuli,the greater the time interval between the two auditory stimuli,and vice versa.Currently used to explain the auditory pitch kappa effect is a constant velocity model,which is perceived by the individual perceived by the two stimuli have been presented in the objective time interval and individual psychological on the stage of the expected time of the weighted average Value,where the expected time is equal to the spatial distance between the stimuli and the estimated velocity of the individual’s movement of the object at a constant speed.But this model does not consider how the objective time is converted to psychological time,and it cannot explain how to determine the weighting factor.The Bayesian behavior model provides an ideal solution to the above problem.In the previous study,the Bayesian model was used to reinterpret the constant velocity model.In this study,we think that the physical time is the same as the Weber-Fechner law,that is,the physical time is converted to the psychological time according to the logarithmic function.Therefore,the Fischer’s law is integrated with the classical Bayesian model,and designed to test the linearity of the classical model with the logarithmic improved model for the auditory pitch kappa effect.In experiment 1,two short pure tone stimuli were used to investigate whether the individual was distorted by the time of the auditory stimulus pitch.The temporal comparison paradigm was used.By manipulating the pitch difference level of standard time interval and the length of compared time interval,asked the subjects to compare the length of the two time interval.The results showed that the subjects were overestimated at two standard time level when there was no difference between the pitch of auditory stimuli.At the same standard time interval,the subjects tend to perceive the standard time as longer as the pitch of the auditory stimulus increases.This suggests that the auditory pitch kappa effect is produced in paradigm Exp1 used.Experiment 2,used the same experimental paradigm as Experiment 1,select a wider range of auditory stimulus pitch levels to experiment.To test how the time perception of subjects changed when the pitch difference is gradually increased。 Data were collected for model fitting and model validation,which used to verify the two constant velocity Bayesian models proposed in this study(linear model and logarithmic model)which can better explain the auditory pitch kappa effect.The results of experiment 2 show that as the auditory stimulus interval increases gradually to a certain extent,the length of time that the subject is perceived does not increase linearly with the increase of pitch difference.This shows that in the auditory pitch kappa effect,the process of converting physical time into psychological time is followed by Webb-Fischer’s law for logarithmic transformation.The constant velocity Bayesian logarithmic model can better explain and predict the behavioral response of the individual in the auditory pitch kappa effect. |