The phrase "a turn of mind" is correct and usable in written English.
It can be used to describe someone's way of thinking or their mental disposition, often in relation to their interests or inclinations.
Example: "Her artistic talents reflect a turn of mind that is both creative and analytical."
Alternatives: "a way of thinking" or "a mindset".
"Humor is just a turn of the mind," says Calvin Trillin.
"There could be no belonging for a creature such as myself, anywhere," Wash says, "a black boy with a scientific turn of mind and a talent on canvas, running, always running, from the dimmest of shadows". But that's hardly the final word in this thoughtful and terrifically exciting adventure.
The spread of Bill James's ideas on baseball, from mimeographed sheets to the front offices of the Red Sox, is a nice instance of how a scientific turn of mind spread to a place where science hadn't usually gone.
The central character is a young woman named Cora, enslaved on a Georgia cotton plantation owned by Mr. Randall, a wealthy twin with a gruesome turn of mind.
The first was written with his adviser, George Gamow, a Russian-born physicist with a puckish turn of mind who obtained permission to include as a co-author Hans Bethe, an authority on the origin of cosmic elements.
He was a languid aristocrat with a philosophical turn of mind.
His tools (less often hers) consisted of a way with patients, an ability to teach and a distinctive turn of mind.
If we lived in the Arab world right now, this would all seem as familiar as apple pie, or perhaps I mean hummus: a family-oriented government ruled by a man with an authoritarian turn of mind around whom are gathered the crème de la crème of the country's predatory capitalists, many of them with their own severe conflicts of interest.
But it was doubtless a sincere conversion, for Constantine had a religious turn of mind.
Not a possibility to ignore, if you have a lion turn of mind.
