I think the name of the rhythm you are playing is Chiftitelli--which is one of the main rhythms used for bellydancing--The other main one is oten called Baladi by Bellydancers, but Middle Eastern musicians tend to call it Masmoudi or Maqsoum, but it starts with two strong Dum beats--
The official sounds that are used to describe the drum patterns are Dum, Te and Ka, as in "Dum teka teka teka Dum Teka Dum".   

There are lots of websites with Middle Eastern rhythms written out this way, with the idea that it is a great way to break them down--but they always seem a bit ambiguous--meaning that you can't figure out the beat unless you know it to begin with--