Actually, as an Orchestral player myself, I can say the full sound comes from getting closer than the ear can tell to a perfect pitch - as in, the harmonies come from playing the octaves and fifths, and whatever the chords are - in perfect tune with each other. The full sound comes from hearing not just the same note being played, but the harmonies of the pitches played in perfect relation to each other.
Now, another part is the differences in sound - pitch needs to stay constant. In the violins, you get a full sound, as each violin has a slightly different tone - and the combination produces a sound that meshes the different tones - and the only way these mesh is with a perfect pitch. However, not all instruments work this way. I play the flute - and there is a reason they limit other instruments to single and two players. Trying to get the sounds to combine properly with the different instruments and players is nearly impossible unless you limit it to just a few. This is probably the closest comparison - such as the tuba section. You only have one or two, as they can't blend with each other excellently.
I'm guessing you could draw comparisons with this in several ways. If you get two subs with a certain sound that can mesh with the others, it will get you a full sound - but otherwise, it's not going to combine.
It's an interesting set of thoughts.