continually, continuously

Continually or continually means very often, or at frequent intervals--
He continually mutters to himself; I don't know what's wrong.
He continually makes smart remarks; we just don't know what to do about it.
The foghorn rang continually throughout the night, about once every five minutes.

Continuously or continuously means uninterrupted, without ceasing--
Ths alarm rang continuously for more than four hours.
The bird chirps continuously, unless you cover his cage.
The alarm sounds continuously, until someone shuts it off.

Now that you know that, you can say--
"We bicker continually whenever that noise goes on continuously."