1 - From what i gather, every room will have several nodes, areas of low end build-up, and the goal when picking a size would be to make it so those nodes are as evenly dispersed across the (low) frequency spectrum. And the same or double, per each 1/3rd octave going up? (Bonello?) - I.e. as few holes as possible.
"Modes" not "nodes", but yes, basically. Just to confuse you more: Modes can have nodes, but nodes can't have modes!
Modes are also sometimes called "standing waves". A "mode" in this sense refers to one specific manner in which a wave can bounce around the room then get back to the spot where it started, going the same way as it did the last time, and in phase with itself. Picture a kid on a swing: each time he passes his dad, dad gives him a little extra push: that's what the speaker does to a room mode: it gives it a little extra "push" each time the wave goes by, and that push is in phase with the wave, and going in the same direction. So the wave intensity builds up and up. If Dad gave Kid a push at the wrong moment, or going in the wrong direction (eg, pushed him sideways, or backward, not forward), the kid would not swing higher and higher: he's soon stop. It's only when Dad gives Kid a shove in the right direction (forward) at the right time ("in phase" with the way Kid is already swinging), that Kid goes higher. Same with room modes: When you have one, it goes "higher and higher" each time it passes "Go" and collects $ 200. They are called "standing waves", because they have the strange characteristic that they seem to "stand still" in the room. They don't actually stand still, of course; the wave is still dashing around the room at the speed of sound. But the pressure peaks and nulls always form at the exact same locations in the room. Imagine if you are watching the Dad / Kid / Swing scenes, but you keep your eyes closed most of the time, and only open them for a fraction of a second at the exact point where Kid rushes past Dad. What you see is Kid not moving at all! Every time you blink your eyes open, he's in the exact same spot, and you never see him in any other spot, so you could assume that he is not moving. Hence, he would be a "standing wave".... (yeah, I know: weak analogy... but it might help...)
Modes occur at very specific frequencies: when the wavelength matches the path length that the wave took around the room to get back where it started. So for axial modes, that means the wavelength matches the distance between two walls on opposite sises of the room. That means that you can adjust the FREQUENCY where a mode will form by adjsuting the distance between walls! And by adjusting all three distances together, you can get your modes to happen at various frequencies and in various patterns.
2 - Once the room has been measured, adding bass traps will help bring down the "worst offenders" as far as low end bumps,
Weeellll.... yes and no. Sort of. The thing is, the absorption of a bass trap does NOT change the mode! It does not "go away". It is still there. It's a consequence of having walls around your room, so the only way to make a mode "go away" is to bring in a bulldozer and knock down the wall!

What a bass trap does is not to get rid of the mode, but rather to damp the resonance. Think of the kid on a swing: if you put a big puddle of water under the swing, and the kid has to drag his feet though the water each time he goes past Dad, then he ain't gonna swing so high no more! The drag of the water removes MORE energy than Dad can put in on each cycle, so the Kid soon stops swinging. The deeper the water (the more of the kid's legs are in it), the quicker he stops swinging. But the swing and the kid and Dad are all still there. By adding water, you didn't make them go away: you just damped their motion.
Same with a bass trap: it doesn't make the mode go away, it just reduces the "ringing". You can sort of think that the mode has "inertia", like the kid on the swing. The more energy Dad adds on each pass the higher the Kid goes, ... then when Dad STOPS pushing (and goes home, for example), the kid still carries on swinging because of his own inertia. Modes "ring" for the same reason: after the speaker stops making that note, the mode still carries on bouncing around the room for quite some time, due to its "inertia". There is energy "stored" in that mode, and it carries on for a while. But when you put a bass trap in there, that's the same as putting the puddle under the Kid. The bass trap "damps" that inertia, and stops the ringing.
Front-Back distance would create one (or more) strong nodes, and thus, a bass trap along the back of the room could help alleviate this?
For axial modes, yes.
Left-Right distance (btw walls) would present another set of nodes.. so now: Where do those bass traps go? Along the side walls? Also in the corners?
Answer: Yes!

Back to modes and nodes. All modes have peak pressure nodes in the room corners, so that's a really good place to put bass trapping. Think of this: If you put thick absorption in the middle of one wall, that will reduce the ringing of axial modes associated with that wall, but it won't do anything for modes associated with the other walls. However, if you put the same absorption in the
corner where two walls meet, it now has the same effect as before, but for modes associated with BOTH walls. And if you put it in the "tri-corner" where two walls meet the ceiling (or two walls meet the floor), then you can hit modes associated with
all three of those room axes. That's why tri-corners are the best place for bass traps: because you hit all possible modes at once. That's why you frequently see references to "all modes terminate in corners": all modes have a pressure peak (and velocity null) in the room corners.
3 - Once the largest nodes have been adressed, is it typical to design bass traps that are more specifically tuned, frequency-wise, for "that last really bad node at 145hz, that just won't go away"?
It might be necessary, yes, but usually isn't a problem. Especially with a frequency as high as you give in your example. The ones that "just wont go away" are usually the lowest ones: first order axials. It's hard to hit those with just porous absorbers, as the wavelengths are just so long, so you might need specifically tuned traps for those. But the best plan is to first go with abundant broad-band porous-absorption type traps, then deal with the stubborn left-overs (if there are any).
If you are interested in seeing how this all works out in practice, here's a thread where we are tuning the control room for one of my customers, and he really wanted to share this process on the forum:
www.johnlsayers.com/phpBB2/viewtopic.php?f=2&t=21368 You can see how it all comes together.
4 - If one is to assume (i know... don't assume ) that a standing wave is created btw. two surfaces (like L/R walls of a control room) would it be correct to assume that if the side walls are splayed out, from front to back (narrower at front of ctrl room), this would have a positive effect
Not really, no. Take into account that you are dealing with waves that are dozens of feet long: splaying a wall by a few inches is not going to have a huge effect on that. If you could splay a wall by ten feet, that might have a worthwhile effect.... but it would eat up a huge amount of space!
Besides, it's a common misconception that you should try to "get rid" of modes... Myth. That's actually a really BAD thing to do: The problem with small rooms is not that you have too many modes in the low end: the problem is that you don't have enough!!! So getting rid of them (even if it were possible) would be a bad thing.
i.e. the theory being a standing wave of freq. X is only created at that one particular point along the side wall (as opposed to all along it, from front to back)
Bad assumption! Once again, the wave is huge: tens of feet long. It affects the entire wall (not just a single point on it). In fact, it affects the entire space in between the two walls as well! a mode "fills" the room.
thus the standing waves would be of a decreasing frequency, as one moves further back in the control room?
Do the math. Let's say your walls are ten feet apart, and thus your mode is at 56.5 Hz. The wavelength is 20 feet! (twice the lowest mode, since the mode occurs at the frequency of the "there-and-back" distance). Let's say you splayed the wall so that one end is a foot different from the other. So one end is now 9'6" away from it's partner, and the other end is 10'6" away. So the frequencies are now 53.8Hz and 59.5 Hz at the ends, and still 56.5 Hz in the middle... not a lot of difference!
(in short, control rooms are designed with splayed wall primarily - or at least partially - for this purpose?)
Not really, no. control rooms have splayed walls in order to implement one of the design concepts that requires splayed walls, such as RFZ, NER, CID or other similar. The walls are splayed to reflect mids and highs away from the mix position, not to slightly adjust the modal frequencies.
Does a bass trap located in the front two corners of a control room do justice to L/R and F/B low end build-up? Or is that just a starting point?
Assuming they are large enough, then yes: if you put bass traps in the front vertical corners of a room, that will have an effect on both the lengthwise axial, and also the width-wise axial, but it will have no effect on height-wise axial. It will also have a good effect on the length-width tangential modes, and a lesser effect on the length-height and width-height tangentials. And it will have a small effect on the oblique modes.
As Greg pointed out: don't get too tied up on room modes and modal response. Yes, you can (and should) choose dimensions that help to spread the modes around evenly, but that's only one of many aspects that you need to take into account. Studio design involves juggling dozens of aspects at all once, and trying to come up with an optimal solution. It's all about trade-off: frequently in studio design, you'll need to sacrifice some aspect in order to improve another aspect. For example, if you have to choose between making a room smaller in order to get slightly better modal response, then don't! It's more important to maximize the air volume in a small room, even if that means a modal response that isn't fantastic. As long as the modal response is not terrible, then it's usually better to forget about it, and just go for more room volume. Usually, but not always....
- Stuart -