spacealf
Then you get into Sound System Engineering - like football stadiums and such and line voltages and other factors to consider or with extra-large concerts and places like Carnegie Hall and other sound system venues.
All different and engineered with respect to that.
Hmmm... not at all actually! The fundamentals for a proper sound system design change very little from critical listening system to small club to large arena.
1) Clean power and a cleaner ground system
2) Proper interconnection - and at the risk of being run out of town, there is only one proper interconnection scheme - a balanced source (does not have to be symmetrical) driving a balanced input, with the shield properly terminated on both ends.
3) Quality cable - not esoteric cable, quality cable, meaning sized properly, and without a drain wire. There are debates about Reussen vs braided shields, but both work well.
4) Proper gain structure - as pointed out earlier, 60 dB of gain is not uncommon in a microphone preamplifier. That's a 1000:1 ratio, so every little noise is going to be boosted 1000 times - that's a challenge! Proper equipment design plays a large role, but even the best design can be brought to its knees if gain is not applied well.
It really is that simple... but of course the devil is in the details.
Specific Answers:
davdud101I know that every connection in the signal chain add a little bit of noise to the signal...
That's mostly an old wives tale - passive components do not have a noise figure, and do not add noise to a system. Really bad interconnections, however, can do all sorts of bad things, from adding noise to rectifying the signal. Use good connectors and this is a non-issue.
davdud101But I've heard that longer cables tend to [do something malevolent that don't remember and am not quite sure of
Another old wives tale - sorta! For a high Z source, especially driving a high Z input, cable capacitance can be a factor. For modern, voltage transfer designs you have a source Z of very nearly zero, driving an input impedance of no more than 20 times that. Long cables are not a problem.
davdud101 So with that in mind, is it better to use longer cables (in the case that they're needed, for space and stuff) with fewer splits in the chain, or... what?
It depends! There is no right answer.
davdud101Why are my preamps so noisy?
Can't answer that. Some preamplifiers, even well thought of models, can be noisy.
davdud101what difference does a preamp make?
Noise, distortion, timbre, you name it. No two preamplifier designs will sound identical.
davdud101Why are some preferred over others (mostly in high-end pres)?
A lot of it, ok, well to be fair some of it is pure snobbishness. The truth is, an API preamplifier sounds different than a Neve, or a Urei or a Millenia Media or a Grace or a Hardy or a Great River or a...
It is largely a matter of taste, and experience. In general, I think I can hear the difference between a low cost preamplifier and one that commands a higher price.
Real world differences do exist, chief amongst them are headroom, quality of the power supply, and of course topology.
davdud101I know that last question is pretty stupid
Geez I am such a buzz-kill... but again, no, there are really no stupid questions!
All that said - it is quite possible to make a really good recording with modest gear. It is all about learning to use what you have to the best of its capabilities. And you learn that by asking (dumb??) questions here.