be carefull...I had the same problem with my 95 corolla. turned out it was the belt making the noise, but no amount of belt tension (adding or removing it) would fix it. Turns out my little 1.6 ltr was too small for a true harmonic dampener on the crank. Instead the crank pulley was 3 parts:
-the hub that bolted to the crank itself
-a rubber bushing
-the outer flange that the belt actually ran on
The idea was the bushing was pushed on the hub and then the flange was pushed on over that. The bushing was just there to keep vibrations to a minimum. That was all well and good for the first decade of her life, but after 10 years, that rubber band that sat between the hub and the outer flange shrank a bit, and allowed the flange to slide laterally to its rotation...essentially allowing the belts to come off kinda like a chain coming off your kids bike. happened everyday for a week Didnt figure it out till I had the wife start the car while I looked in the engine bay and watched the thing slide all over before popping off and nearly taking some of my face with it
. New crank pulley ? yeah $250 from the dealership, or 180 from autonapazone with a leadtime of 3 weeks. Hopefully your situation isnt as bad