Yes, your are right, there is some lexical ambiguity. Some people call it a doumbek and some a tabla or Egyptian tabla, but it is not the same thing as the Indian tabla -- it is a funnel shaped drum, usually metal, with a rounded rim and bolted head. More specifically I am looking for loops of traditional middle eastern beats like baladi, taksim. PS I can't answer for the spelling of those.
Did you check out the Apple Loops that are already installed with Logic? The Jam Pack World Music Apple Loops have loads percussion material. Not sure how much is specifically doumbek/tabla, but if memory serves, there is a lot of variety there.
Hi we have two sets of Darbuka Loops. Both sample packs contain authentic rhythms.
Darbuka Loops Pack 1 is all 4/4 timing and contain rhythms as: maqsuum, baladii, sayyidii, waahida and sombati
Darbuka Loops Pack 2 is all 3/4 and 6/8 timing and contains the following middle eastern rhythms: Abwanii, Daarij, Darj, Ghiita, Hazaj, Khalaas al awwal, Makhluf, Qantara, Quddaam, Shiishtosh, Tsamiko and Yuruk as-Samaa'ii.
(not sure about the spelling either ).
All files are available in wav and aiff format. Good luck!