As for other parts...it's a grey area. I'd venture to say that there's 3-parts. Others may disagree. The inside part (2 of 3) is Outsides Trade as Centers Hinge and 1/2 Circulate. Which, of course is 2 parts for the Centers.
So, if someone were to fractionalize Tally-Ho, I'd expect 3 parts:
It's okay in my opinion to have one part of the call to have multiple parts (i.e., 1/2 Circulate and Hinge considered as one part of the call).
For instance, take Percolate: