I haven't yet looked much into the baliset, but I didn't even need to do research for the main instrument that pops up again and again in DM - the rebaba. Knowing FH's love of slightly mutating words, this is clearly the same instrument (or very closely related to) as the middle eastern/asian rebab, or it is closely related to another similar instrument, the rubab. These two instuments are actually fairly different dispite the closeness of their names, and the fact that rubabs are sometimes called rebabs. Gets a little confusing!
According to the more common definitions I've run across, the name rebab more commonly refers to the instrument I've linked to a video of below. It is similar to other asian "violins", and is an upright bowed instrument without frets (and commonly without a fingerboard at all).
http://www.youtube.com/watch?v=LcaOk1DF3Fw

The rubab is a much more interesting instrument in my opinion. It is of the lute family and is played in the same positon as a guitar. It has a fretless metal fingerboard (EDIT: it actually has a wooden freboard, often heavily inlayed, I was thinking of a sarod), usually around 6 "played" strings (3 melody and 3 drone) and 11 or 12 sympathetic strings. It is one of my all time favourite instruments, I can't wait to get my hands on one.
http://www.youtube.com/watch?v=cPhPqUKdLWw

I haven't yet noticed FH mentioning the rebaba being bowed or plucked so I'll have to check for that, which should tell me which instrument he meant it to be closer to.