In terms of 'popular' music, there is no modern music, and hasn't been since the 1990's.
In the 1950's there was modern music that would have been out of place in the 1940's. In the 1960's there was modern music that would have been out of place in the 1950's, and so on until the 2000's where for some reason popular music reached its current state of stagnation.
I'm open to suggestion for any music from the last 20 years that sounds like it couldn't have been released before the 2000's.