Our new apartment has the peculiar problem that even light rain drops falling on the tinned/metallic roof of the balcony (pictured below) make a terrible popping noise. I normally love to keep the balcony door open and hear the sound of rain, but this is actually bothersome; I would liken it to the sound of popcorn popping (only 10x amplified), or (in heavy rain) even a machine gun!

I know there are ways to fix this if one can invest some time&money in retiling the roof etc (example). But is there an easy/creative solution to this? Perhaps some material/coating that I can apply to the roof-top, that will make the rain not sound so terribly loud? The balcony roof isn't accesible particularly easily, although one can have a go through the apartment above:
