I have found that you can use the tilt feature of a tilt shift lens to do some pretty neat things with depth of field. I can throw it 8° to the right and everything on the left side of the image drops out of focus, along with a narrow band on the far right side. I also understand that a large aperture will narrow the range of areas in an image that are in focus. So do the two relate? If I have a larger aperture tilt shift lens, will that multiple the effect of a 8° tilt?
I am sorry for noting this, but I am not a math person and would prefer any simplified version of the science portion if at all possible, but feel free to include any equations if that will help others.