newey - Wave math is the same no matter the medium - be it an elecromagnetic field or your favorite fishing pond. Whether we're talking about an electron, an air molecule, or a weight hanging from a spring, if it's being pushed in one direction and pulled in the opposite direction with exactly the same force, it ain't gonna move.
My thought is that the proximity of the speakers one to another in this cabinet is much closer than what you'd find in most home stereos, and so the frequency where phase cancellation starts (or stops, in this case) to become apparent will be much higher up than what sg is talking about. I'm pretty sure that's part of the point of having all these speakers in one cabinet like this.
We'll see what Dave thinks about my experimenting with his antique. I hope he lets me. In the meantime, I decided to fake it with Sound Forge. Just for fun, and to try to illustrate a point re: phase relationships.
Let's start by ignoring the contribution of the room. This theoretical experiment takes place either in a completely dead space or hanging in the middle of the air somewhere.
Next, we'll take 4 perfect point source speakers and place them on a plane together in a square configuration where the non-diagonal pairs are 12" on center. This should be pretty close to a Super, with 10" speakers and about 2" in between. We'll call the speakers A, B, C, and D as per my pretty picture below.
Now we'll take a perfect omnidirectional microphone and place it on a line a perpendicular to the plane of the speakers, going through the center of speaker A, and 3' out. This is 3' from speaker A, 3.16' from speakers B and C, and 3.32' from speaker D.
We play white noise through them, gradually adding more speakers, then finally reversing the polarity on speaker D and capture the frequency spectrum analysis of each configuration.
Here's what it looks like:
The first thing I notice here is that the A+B+C+D trace is significantly louder than the A+B+C-D trace across most of the frequency range. In fact, it looks like about 5db difference, which is pretty darn close to the half volume I had talked about.
Then, I notice that the curve with the -D is actually alot flatter, closer to the curve of A alone than with any other combination.
The next thing I notice is that the area where these two curves devaite is centered around 4KHz. Most speakers of this type are going to have a pretty steep rolloff right around this area, which may tend to mask the differences here.
I find it interesting to note that the biggest dip comes with the even numbered "in-phase" speakers.
Now, moving around the cabinet will change this a bit, by changing the difference in distance between each speaker and the microphone, which will move the center of that phase-cancellation dip. Moving toward the cabinet (or around to the side of it) will increase the difference (ask Pythagoras), and lower the frequency of cancellation. Moving away from the cabinet (or toward the center of it) will decrease the difference, quickly raising the frequency to a point where it becomes meaningless.
That is, the further from the amp you are, the more closely the shape of the -D will resemble that of the +D. Or, more correctly, the more
all of the traces will resemble A alone.
Of course, as mentioned above, the real world is far more interesting with all its variables and dependencies.
I'm encouraged by the fact that sg didn't come in waving his arms and screaming "FOR THE LOVE OF [expletive deleted] NO!!!" Leads me to believe it ain't gonna explode the amp.