Chicago style is usually used in the Humanities, History, and other fields. It allows for two systems: notes (endnotes or footnotes) with bibliography OR parenthetical citations (author / date) with a reference list.
Turabian style is a simplified / adapted version of Chicago style with some modifications for the needs of student writers.
What is the difference between Chicago style and Turabian style? from Trefry Library, American Public University System