I don't think this is possible with the JU-06.
This is how the trigger works with the TB-03 though. You can have a sequence on the TB and a trigger set on only the downbeat of the TR, and it will advance through the TB notes one per measure.
There are a lot of cool sequencing possibilities between the trigger functionality and song modes of the TR-09 and TB-03 that unfortunately are not available with the JU, JP, or JX.
You'll probably want an external sequencer (I've been using an MC-505) to sequence those other boutiques, which will allow for pattern chaining and polyphonic sequences.