And it's in tune, and it's played on real instruments, and it doesn't include kazoos or fart noises!
Here's the story in a nutshell. Alfred Reed was a professor of music at the University of Miami when the Hurricanes joined the league. Reed might be a familiar name to any high school band nerd; he has a list of compositions for band and orchestra from here to Boise State and back. The Big East's band directors, seeing the need to fill a void no one knew existed, commissioned Reed to come up with a march, and so he did. It was completed in 1996, although it sounds like it's straight out of about 1938.
I couldn't find the song on YouTube (stunning, I know), but it's available on iTunes and a few other sites. You can also listen to it on Spotify.
Yeah, that's right, "The Big East March." These are the kinds of posts you come up with when it's the end of May and football is still just a speck on the horizon. Don't even ask how I found this song.