How do I stop the dripping noise from my gutters?
I'm surprised the dripping is that loud but there is a simple solution. Drop a some rope, such as heavy sash cord, down the drainpipe and attach top end in such a way that at least a couple of inches of the rope is sitting inside the gutter itself. The way this works is that the water will tend to run along the rope, which should ensure the water runs along the wall of the drainpipe instead of falling through the air.