Charles Ellicott Commentary Psalms 76:1

"In Judah is God known: His name is great in Israel." — Psalms 76:1 (ASV)

Judah ... Israel. —A comparison with Psalms 114:1-2 leads to the conclusion that these names are introduced here in this order, simply for the rhythm. (Compare “Salem” and “Sion” in the next verse, and notice that the four names offer an instance of introversion, the more restricted terms, Judah and Sion, occupying the first and last clauses, and the more general terms, Israel and Salem, the middle ones.)