I grew up in southern Illinois--truly southern Illinois, hundreds of miles south of Chicago, about sixty miles east of St. Louis--and every winter our high school would host a Holiday Basketball Tournament. "Tournament" was pronounced "turn'-a-ment" and not "torn'-a-ment."
How do you, yourself, pronounce "tournament?" Where do you live and/or where did you learn English? What's the most common pronunciation that you hear of "tournament" in real life, as opposed to on radio or television, and where do you currently live?
I've been noticing that on national TV and radio in the US and on local TV in the Pittsburgh area, it's nearly always pronounced "torn'-a-ment."
On a related note, if you pronounce tournament as "torn'-a-ment," how do you pronounce "tourniquet?"