Again in doesn't work.
The non specificity of the definition (provided Cage did'nt come to ruin it), even wouldn't make it significative.
I could say "the one thing all trip has in common, is duration".
I'm repeating myself: Music is a statement. The difference with noise is the choice to put significance in it, even aesthetic.
My grand parents would not consider Judas Priest's Screaming for vengeance as being music.
I hear music out of the rythm noise of air disturbance when a car passes beside security rails on a highway…