May be this thread on Reddit might have the explanation you are looking for?? The difference in FPS may be contributing to increases in Pitch by semitone?
*www.reddit.com/r/ELI5Music/comments/2s3c4v/why_is_popular_music_in_films_always_pitched_up/
I notice that the song ‘Kaun Tuje’ from MS Dhoni movie is in D-minor but the downloaded MP4 (may be DVD rip) that I have of the entire movie, it’s half step up in E-flat minor. I just after a long time watched that MP4 file today and realized this difference.