Harvey,
You are absolutely correct about the bits/bytes issue. The digital world is limited to the number of bits/bytes available, where as the analog world is Infinity. Darker colors have larger wavelengths, lighter colors have smaller wavelengths. Larger modulations require more bits/bytes, which is why the dark colors are splotchy on your screen.
Same analogy goes for wavelengths of sound - the lower you get to 20Hz, the larger the wavelength thus the larger modulation requires more bits/bytes which is one of the reasons why digital can't reproduce the great deep bass in detail as analog.
Think about this: if you break down the tones just between notes C & D (beyond half steps) in the analog world, you can keep dividing the steps between the notes C & D smaller and smaller, and keep doing so until Infinity. Our ears CAN hear those slight nuances between the steps in analog just as it can hear slight nuances in space & time. It's like trying to find the exact value of 1/2 inch on a ruler. You can't find exactly 1/2" in the analog world, because you can always go smaller - the smaller you go, the more accurate your measurement of 1/2" is. Digital can only divide those steps between notes C & D down just so far because of the bit/byte limitation - just as it's limited to how small it can calculate the exact value of 1/2 inch on a large ruler, therefore Digital can only locate the closet value number it can given the number of bits/bytes dedicated.
Big picture: not only does digital have to dedicate bit/bytes for note (sound) reproduction, but also for spatial reproduction. This is why digital can never duplicate analog. It can only provide/calculate the closest value it can (because of bit/byte limitations) and therfore it cannot provide accurate reproduction. If you're with me so far, what this means is a supercomputer cannot provide enough bits/bytes and binary code to accurately reproduce the true world of analog Infinity.
Here's another view in the words of someone from my hometown:
"The instant you digitize a signal, you destroy the phase-angle relationship between the high frequencies and the lows. That’s why you can’t make a decent chorus with a digital delay unit. Phase-angle distortion has been with us since the day 3M introduced their incredibly expensive, 15kHz digital-recording deck. I still remember the famous quote from their marketing department: “There is an introduction of phase-angle distortion, but the human ear can’t hear it".
"I find that so hysterical because the human ear can hear things we can’t measure yet. And the ear does use phase-angle information to determine the location sounds originate from, and the space within which you’re standing when you hear those sounds. Simply put, that’s what tells you, “Oh, that sound came from over there.” The end result is that digitized music destroys the spatial characteristics of the music....
"... The two advantages of digital are that it’s cheap, and it gives you lots of features. As far as sound quality goes, digital is always worse."
--Tom Scholz, - Guitar Player Magazine, May 2003