It's been a while since I studied music theory but I think 2PM's two JYP-penned Japanese singles fit neatly into your intervals hypothesis: there's "I'm Your Man" (http://www.youtube.com/watch?v=jGlJia9H9d8), where you can hear it right away, and "Take Off" (http://www.youtube.com/watch?v=twN_c_Q8n6s), where the chorus is built around a bunch of intervals. Not sure if that's a do or a mi, though.
Re: Rundown of almost every JYP -written single in the past three years