Not sure if I should post this, because I don't know the Firepod. But I do know supply's. First of all, I downloaded the user manual and saw two different pictures of the supply input on the back of the unit (in the same user manual!). One looked like a proprietary type multi-pin socket and the other one like a normal DC socket. Multi-pin's are usually for AC in. You all seem to have the DC socket one.
So, how about voltage. It would be easier to tell if somebody had a service manual, or knew the type of regulator inside. Most units have the voltage regulator right behind the DC socket. Printed on it "78xx" and mounted on a little heatsink. The xx stands for the voltage, usually 12 or 15. Regulators like this need 3 volt MORE to work, so a 7812 needs 15 volts minimum. Any more than this is only heating up the regulator more and does nothing to the sound. Too hot and it will fail eventually.
Most units also have a "79xx regulator. Same, but for a negative rail. If the unit has a 79xx, it will need AC supply input, not DC!, to make both positive and negative rail voltages.
About the brick (the power adapter). The voltage of the UNREGULATED type varies a lot with the load. A brick with 12 volt written on it might give you 18volt or more when you measure it WITHOUT load. The rated voltage is under full load. These simple supply's have a big ripple under load, and the dip in the ripple could well be lower than the regulator in the unit needs, thus giving you a strong 100/120herz humm. Better to use a REGULATED supply (standard or switch-mode). These supply's have a fixed output voltage that does not change under load.
The power: If the unit has standard 78xx regulators on board, the supply need not to be bigger than 1AMP. That is the current limit of these regulators.
If the design runs on an AC brick AND the design has a flaw, like the dual grounding in tenkas's post, then the AC humm can enter the sound circuitry.
May have confused you a bit more with this post.