Well, I wouldn't say it's dischordant at all - it's quite an intriguing chord, with promise of something good to follow it.

At the time, when the Beatles were young and influential, the beginning chord to "A Hard Day's Night" was unusual in pop music and has become a classic opening. Nothing wrong in that and, with lots of theories over the years as to how it really was played, it's fun to hear it broken down into its constituent parts. We're never too old to learn.