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> Is it still possible to reproduce everything accurately?

Sound is linear, so yes. Any signal can be represented correctly as a sum of frequencies.

> wouldn't higher bit depth increase the fidelity in the range the audio does fill?

When you do the maths quantisation turns into the original sound + quantization noise. The bit range determines the noise (dither helps here). So it's a question of whether the noise is loud enough to hear. There are samples on the internet you can try to determine yourself at which stage you can notice the noise. It's shocking how few bits are actually required.

For a sloppy recording or repeated processing the quantisation noise goes up, so more bits are required.




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