GrimSurfer
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So, that was with a noise floor ~50dB down, now imagine 16Bit which is ~100dB down. With audible differences getting exponentially more difficult as bit-depth increases, the answer to OP’s question should be clear.
Now, one case Amir made in other threads is that “music” thresholds vary as the music varies, so we should instead aim for absolute thresholds, which is ~116dB. I agree that this is good form, but is indeed overkill.
I like overkill, if for no other reason that it takes away any rational reason to second guess the outcome afterwards.
This is important in audio, which is so riddled with subjectivity and pockmarked with pseudoscience that finding the truth can be like untying a Gordian knot.