I haven't read it yet, but you have to integrate the floor noise throughout the entire band. Calculating SNR against the noise floor is wrong. Will read and come back 
This is all *without* shaped dither. Shaped dither *further* increases dynamic range by taking advantage of the frequency-dependent response of the human ear, to lower the noise floor in the bands where it most matters.
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This is all graphically easy to see on a spectrum analyzer, which is a good visual tool to look at audio the way our ears perceive it. That's why the noise spectrum of dithered silence at 44.1kHz/16 is not -96dB, but significantly lower (depending on FFT parameters).
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@xiphmont has a footnote in the article I linked that notes how with an infinite window size, the dynamic range is effectively infinite; of course our ears don't have an effectively infinite window size. We can come up with a representative approximation for perceptual purposes. - Show replies
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