Doubling of distance does not reduce output by 6dB, that’s if you were in free space (so more applicable for live sound setups); For residential setups, the loss is 3dB to 4dB, almost the inverse of doubling wattage.Note that I stated several times that I was ignoring the effects of room reflections.
Also, combing it both speaker outputs nets 3dB. 6dB is never gained. You may be confusing that with crossover design, where they have them intersect at -6dB to sum to zero, but that’s due to vector addition.I was not thinking of crossover design, and I believe that my reference to a 6 db gain under the specific conditions I stated was correct. My statement was:
... two speakers will be in use, which will add 3 to 6 db to the maximum SPL produced by one of them. The 6 db figure would apply if the listener is equidistant from the two speakers, and they are both reproducing the same signal.At various points in the room, if the two speakers are reproducing identical signals and again putting aside the effects of room reflections, the addition of a second speaker will cause SPL to increase by amounts ranging from minus infinity (i.e., no sound) to 6 db, depending on whether the phase relation of the two outputs at a particular vantage point causes them to sum constructively, destructively, or somewhere in between. Averaged throughout the entire room the increase will be 3 db, of course, corresponding to the doubled amount of power that is supplied to the speakers.
Some years ago I read a particularly excellent paper written by some folks in Australia which explained exactly this, in greater detail. I can’t find the link, though.
Regards,
-- Al