There are many words that one can use as synonyms for the phrase "more tripartite." Tripartite itself means consisting of three parts, and synonyms for this word could be division into three sections or three-way. Other synonyms could include trifurcated, triadic, and trichotomy. These words allude to the concept of three equal and separate parts. Additionally, the words ternary, treble, and triple can also be used to describe something that is split into three parts. It's important to consider context when searching for synonyms, as certain words may fit better depending on the sentence or topic at hand.