Yes, time dilation can indeed affect the overall frequency of waves, including sound waves, due to changes in the perception of time caused by gravity or motion.
According to the theory of relativity, as an object moves at speeds approaching the speed of light or experiences strong gravitational fields, time dilation occurs. Time dilation means that time appears to pass more slowly for the moving object or in regions with stronger gravity.
When it comes to sound waves, the perceived frequency of the waves is related to the perceived pitch or tone. If an observer is in a region where time is dilated due to motion or gravity, they would perceive time as passing more slowly compared to a stationary observer in a different reference frame.
As a result, the observer experiencing time dilation would perceive the frequency of sound waves as being lower than what a stationary observer would measure. This would correspond to a deeper voice or a decrease in pitch.
It's important to note that the effect of time dilation on sound waves would be relatively small in most everyday scenarios, as the speeds and gravitational fields required for noticeable time dilation are extreme and not typically encountered in our daily lives.
However, in extreme cases such as near black holes or in scenarios involving high speeds, the effects of time dilation on the perception of sound waves could potentially become significant.