Musical sound waves bouncing back in a room are more akin to " a language", a temporary living quasi-crystals, than to only a mechanical random phenomena...The sound is like a sensible equation, made visible for the eyes, like the wind on undulating grass... Imagine that if you put some 3/8 inch resonant bowls, on some critical points on the walls of a room, the pattern of the musical sound waves are now less blurred and present to the ears some clearer image where the waves are more clearly perceived, like undulating flags on a flowing river.... I guess Fourier analysis will be useful.... :)
Note: some bowl are empty some with an Herkimer diamond like 2 kind of flags on the flowing frequencies river.... But my analogy dont explain how the resonant bowl affect the flowing waves themselves and not only mark up the turbulent flows for the ears....