My understanding is that by emotion, Jesse is referring to music which touches and moves your heart. The sort of music that sort of blows your mind in wonderment or makes the hair on the back of your neck stand up because you can really "feel" what the artist was going for deep down and can maybe relate.
In general, "emotional" music is classified, by most I would think, to typically be music which isn't too quick paced in the tempo department and probably usually not too happy sounding either, as it's this sort of music that will usually elicit the strongest response from a listener.
Whenever you hear someone say they like a song and how emotional the song was and they "understood" how the artist was feeling, it's almost always a sad or angry song versus a happy or love based one. Why? I'm not sure, the amount of sad or melancholy music ABOUT losing love vs actually having it is surprisingly lopsided. Love and Sadness are perhaps the two strongest emotions a human can experience, yet sadness is more often written about and sung about (look at poetry as another example). Maybe artists use art in general as a means of therapy which explains why theres so much more of it? After all, not much need usually to "vent" as it were if you're happy.. I don't know, i'm just rambling now..
Anyways.. very happy music or high energy up tempo trance/rock does not usually accomplish these strong emotions, they DO evoke emotion, but it's of the different kind, the sort that makes you wanna rock out, jump around, dance.. whatever, which from my understanding is the sort of submissions he's trying to exclude from this contest.
That's my take on it! Maybe i'm looking too much in to it, hahaha.