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https://physics.stackexchange.com/questions/110540/how-loud-is-the-thermal-motion-of-air-molecules
I don't know enough to check it, but sources are cited putting it at -20 to -30 dB SPL depending on assumptions, so the Microsoft anechoic chamber isn't far off. Between that and the point where the atmosphere starts clipping we have the dynamic range of the atmosphere, around 220dB.
... atmosphere starts clipping ...
Oh wow. Never thought of that. So obvious when someone points it out - there is indeed a maximum pressure air can transfer.
From Wiki:
While 1 atm (194 dB peak or 191 dB SPL)[11][12] is the largest pressure variation an undistorted sound wave can have in Earth's atmosphere (i. e., if the thermodynamic properties of the air are disregarded; in reality, the sound waves become progressively non-linear starting over 150 dB), larger sound waves can be present in other atmospheres or other media, such as underwater or through the Earth.