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if it sounds fine in the headphones then its most likely either an output problem from the A4 or a problem with that line in the mixer. The sound being described does sound like something is out of phase but how that would happen is beyond me unless all the club equipment is synced together and technically out of phase but in phase with each other. It also sounds like you have a filter on.
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Please don't jump to conclusions like that. Any competent DJ technician would try at least two or three inputs before blaming the guy's equipment.