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Does Mach speed change depending on the altitude?

Since the speed of sound depends on the air, which changes at different altitudes, are "Mach" speeds dependent on the altitude? Or is it basically just like 100 °C is the same even at altitudes where water boils at a lower temperature (in that it is a fixed speed based on the speed of sound at sea level)?

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  • @gedaliyah yes. Mach number is defined in terms of the local speed of sound, and that varies depending on pressure and temperature. I don’t know exactly how much, but several percent at least?

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