CrazyNeutrino said:
hearing range from 20 to 20,000 Hz, but what about how soft a noise is heard at, in db level?
Hearing is interesting. Ohm, who first established the range of frequencies the ear is sensitive to, did some experiments to determine whether it’s sensitive to the sound’s phase; he concluded it’s not. Some experiments* I’ve done suggest that it’s sensitive to gross phase changes, but not to shorter changes. As to the sensitivity of the eardrum to pressure changes, it can detect a half bee’s wing dropped from 1cm onto it. The accepted standard pressure limits for the ears are about 20 μPa to about 17kPa (which can rupture the eardrum).
* One experiment: take 100 seconds of speech, fft it, extract the frequency and phase components, randomise the phase, inverse fft the result, and listen to the result. If the fft is done over the whole 100 seconds, the result is unintelligible; if the 100 seconds is broken into short (about 10ms) segments, then the above performed on each segment, the result is easily intelligible.