To understand why Control+i inserts a Tab in your terminal you need to understand ASCII, and to understand ASCII you need know a bit about its history and the world it was developed in. Please bear with me (or just go the table).

Most teleprinters communicated using the ITA2 protocol. For the most part this would just encode the alphabet, but there are a few control codes: WRU (“Who R U”) would cause the receiving teleprinter to send back its identification, BEL would ring a bell, and it had the familiar CR (Carriage Return) and LF (Line Feed).

source: Dfly