No, your morse-code type of tinnitus would not be considered pulsatile. Pulsatile tinnitus usually has a vascular cause, and is very regular, in tune with one's heartbeat. Pulsatile tinnitus may be curable if a cause is found.
There is a condition called "tensor tympani syndrome", in which the sufferer experiences an irregular pulsating feeling, sort of like a spasm. Here is some more information on that condition;