There is the area of aeroacoustics in which we look at the noise contributions due to aerodynamic influences. It is a relatively new area but a fair amount is known. In this case, it was mentioned that loading of the blades is a factor, as is relative mach number of each blade and blade tip. The spreding/attenuation over distances is very custom for each application in that the speeds and frequencies are always different. Plus, since this is unshrouded you don't have issues arising from waveguides, i.e. ducts. Things are different when a blade tip is sonic or supersonic. I can only assume they would be sonic, which means they will naturally attenuate/decay with increasing radius from the source.