NRG = mc² said:
Do you not agree that an analog waveform is theoretically a better representation of a soundwave than a digital one?
No.
If you take poorly-executed examples of each, you get distortion. The analogue waveform has insufficent dynamic range, poor ability to represent sudden variations in SPL (i.e., poor slew rate) and above all, random noise. The digital waveform (again, if poorly executed) merely approximates the actual waveform with a series of discrete steps. The question then becomes "which one of these particular two waveforms happens to have the worst distortions?" and the answer depends on which of the two is the most flawed. For every example showing one answer, there is another showing the opposite, and it's impossible to draw any sensible conclusion.
So let's take well-executed examples of each and compare. The analogue waveform will
still have limited dynamic range, restricted slew-rate, and some amount of noise - though in a really good analogue system these factors will be so well attended to that the untrained ear can't tell the difference, and it's quite possible that even a really well-trained musician couldn't either.
On the other hand,
provided that the digital waveform has a sufficient degree of granularity, it will be perfect. The secret to this is simple: once the smallest single unit in the digital representation is smaller than the smallest human-detectable variation in air pressure (which is what sound is, after all) the difference between the digital waveform and the original waveform cannot be noticed by the human being.
Notice the subtle difference: a good analogue system can produce a waveform which is indistinguisable from the original
in practice, even though there is a throretical difference. Wheras a good digital system can produce a waveform which is indistinguishable from the original in practice
and even in theory.
In reality, of course, we must consider two other factors:
(a) It's much easier to produce a tolerably good digital system.
(b) No matter how perfect the electronic side of things becomes (and even a consumer-level digital system is pretty close to perfect), the end result (the sound you hear) is limited by your transducers. We have reached perfection (or close enough not to matter) in the all-electronic parts of our sound systems, but transducers remain today what they have always been: the Achillies heel of sound quality. No transducer yet invented (microphone, record stylus, analogue tape head, speaker system) is perfect. They are pretty damn good, but it is probably not possible to manufacture a perfect transducer. If you could have a digital transducer, then you could make the thing perfect. (In fact you can do this with certain classes of transducers - the tape head on a DAT machine is an example.) But a digital primary transducer (microphone, guitar pick-up, speaker) is a logical impossibility.
(Unless you have digital ears, of course.)
(And even they wouldn't work unless you had a digital brain.)