I had to figure this out for our Nuke artist a few months back. I don't remember the numbers I came up with. What I DO remember, is how I got the answer.
First, look at this chart:
http://www.reduser.net/forum/showthr...t-X-Data-Sheet
Second, read up on sensor sizes on Wikipedia if you're lacking any general knowledge:
http://en.wikipedia.org/wiki/Image_sensor_format
Using the numbers posted in the first chart, know the full Scarlet sensor is APS-H. Which is a 1.3 crop factor of full 35mm. So APS-H size times 1.3 = Full frame, or a crop factor of 1 (AKA no crop factor).
As you notch down in resolution, to 4K, 3K, or below, you are changing how much of the sensor you are using (refer to the Scarlet chart linked above). Which changes your useable sensor size. AKA your "filmback".
I forget if Filmback was looking for the vertical size of the sensor, or the diagonal. Whichever it is, this is all the knowledge I had when I helped our Nuke artist figure out the Filmback of Red-1 MX footage a few months back. This and some 7th grade math.