Rosh Hashanah 34: Anatomy of a Shofar Blast

Figuring out the order of the various shofar blasts. Which depends on biblical verses and the sounds of each blast - what makes a teruah a teruah? Also, the requirements of who blows how many shofar blasts over the course of how long. And where multiple shofar blasts may be completely fine for filling one's obligation - indeed, it is the obligation - or may contradict it and require another round. Plus, shofar vs. shofar blessings, which takes priority and why? Also, when a shaliach tzibur (chazan, prayer leader) can help another (congregant) pray, on behalf of the community, or the individual. The tractate seems to have shifted focus to the expectations of the service...