so in my case, bam200 @16ohms vs 4ohms into the exact same 2x8, I'm getting at most a 6dB total change.Assuming the cabs are as close as possible, the sensitivity goes up 3dB theoretically. Real world will probably be a bit less. If the usable power increases, you get additional SPL.
Normally when you add a cab, it's connected in parallel with first cab. Assuming both cabs are the same:
1. Combined impedance = 1/2
2. Combined power handling = 2X
3. Combined sensitivity = +3dB
Tube amps put out the same power as long as they see the expected loud. So if you have an 100W tube amp with 4 and 8 ohm outputs, you get 100W with one or two 8 ohms cabs. Since the power stays the same, adding a matching cab gets you +3dB.
Solid state amps typically produce more power as the impedance goes lower. This is not always the case, so check the specs. When the impedance is cut in half, the power may double, increase by something like 70%, or stay the same. In some rare examples, the power may also decrease.
If the power doubles you get another +3dB. So total increase is 3dB from increased sensitivity and 3dB from increased power. 3 + 3 = 6dB total
If the power increases by 70% you get ~+2.3dB. So total increase is 3dB from increased sensitivity and 2.3dB from increased power. 3 + 2.3 = 5.3dB total.
If the power stays the same you only get +3dB from increased sensitivity.
my ears agree.