is there any way to embed Midi Clock information into either an mp3 or mp4 file?

[chimney chop]

in my band we play to a backing track from my iphone5 fed into the external input of my TI2 and then out of the TI2 into a Korg KP3+

i don't like the auto bpm of the KP3+ (or the tap tempo for that matter) and would love it if i could somehow stamp the tracks with Midi Clock information.

any ideas?

i'd like to do this even if i have to eschew the whole mp3/mp4 format altogether and feed the tracks into some other app/program.

any help appreciated