For some values of dramatic. Idle Friday afternoon sums follow:Don't forget outside air pressure and temperature has dramatic effect on your tyre pressure. That why daily checks of tyre pressure are advised in all manuals before your first ride. I usually just feel firmness of the tyre, and look down at the bulging during a ride in between checks to get a ball park estimate of pressure. I don't need to ride bang on my ideal pressure, but if I were riding at the upper or lower limit of the tyre's capability I might be more inclined to check often too.
The highest road in the UK is 670m above sea level. Atmospheric pressure is 93% of the sea level value, so down from 14.7psi to 13.7psi - ie you've got about 1 pound per square inch less pressing against the tyre. The highest atmospheric pressure recorded in the UK is 1053.6 hPa, which is about 4% up on the standard value of 1013.25 hPa. Or about just over half a pound per square inch. Looking at temperature, assuming your tyres a filled with an ideal gas, the pressure is proportional to the absolute temperature. Let's take a cold day, at 0 degrees C. That's 273K. The tyre pressure is a nominal 100psi. Double the temperature and we double the pressure, so at 546K we double the pressure. We also melt the tyre and die. A more reasonable example is to take a hot summer day, say 35 deg C. That's 273+35 = 308K. The pressure will increase by 308/273 = 1.12 or 12%. So a 100psi tyre will go up to 112psi. But who pumps their tyre up at 0 deg C and goes out in 35 deg sunshine? Is it more reasonable to go from, say 15 deg C to 30 deg C? That 288K to 303K, giving a pressure rise of 303/278= 1.08 or 8%. So a 100psi tyre will go up to 108 psi.
(Can you tell I'm bored?)