If it's a typical one, the thickness will be pretty uniform regardless of weight (more weight just means it's longer.) So, I find the timing doesn't vary much. I'd base it on your usual cooking time for the degree of 'done-ness' you like and just check the internal temp with an instant read thermometer a bit earlier than you would with a larger one. Hope that makes sense.
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Here's a yummy sounding Gourmet recipe, for example: http://www.epicurious.com/recipes/food/views/Black-Pepper-Spice-Rubbed-Beef-Tenderloin-354976
Have a happy Christmas Liz!