Due to differences in air pressure, temperature, and other factors, the speed of sound varies with altitude on Earth. Does this affect the pitch of the sound in any meaningful way?
For example, if I had a tuning fork that vibrates at around 262 Hz, would I hear the same "Middle C" from it while standing on the shores of the Dead Sea as I would while standing at the peak of Mount Everest - an altitude difference of 9,271 meters or 30,417 feet?
Would there be any difference at all, and would it be perceptible to the human ear at close range? Would the altitude difference affect how the sound is heard more at a distance than it would nearby? Or, am I not quite understanding properly how sound works?