apple tv continues to go offline whith strong wireless signal

The "strong signal" indicator means nothing. All that is showing is the strength of the WiFi radios. That does not tell you anything about the actual quality of the data connection, interference, dropped packets, or really anything useful at all. You are losing the connection so clearly there is a connection quality issue.

So, same problem, yet EVERYTHING, and I mean everything else works. So, CLEARLY it's not with the signal from the router.

when in Appletv go into settings/general and scroll down to Sleep after...you can choose the amount of time. there is the option of never

That worked for 6 minutes. Then as soon as I went to check my email on my iPad, it dropped the signal. I'm guessing now it's interference. This is becoming more then just a little frustrating.

Sorry, there should have been a ? after interference.

Yeah now it's worse for me, 2 songs...I wonder if it's because the internet has glitches but why only music...I don't have this problem watching movies over netflix