live recording and playing midi sequences?

is there a mpc that can record a midi sequence to a new track while playing other recorded midi sequences at the same time and then include the new track with the other sequences in the playback? (like a live multitrack looper, but with midi data instead of sound samples recording)

All MPC's do that.

Hope I answered your question.

thanks. I finally got a mpc500 and it can really do that, but often during simultaneous midi playback and recording (overdubbing) to a new track some of the already recorded tracks mute for a few seconds and when I punch out the playback resumes