IMHO the exact ratio of BMPCC to Full Frame is 2.88
Full Frame Active sensor area for full HD video is 36 x 20.25mm
diagonal = sqr(36)+sqr(20.25)=sqrt(1706.0625) = 41.30
BMPCC active sensor area 12,48 x 7,02 mm
diagonal = sqr(12.48) + sqr(7.02) = sqrt(205.0308) = 14.3189
41.30/14.3189 ~ 2.88
Which is the same if you simple divide the long sides - 36/12.48 ~ 2.88
Most C-Mount lenses cover 2/3'', 1/3'' and 1/2'' inch sensor sizes. Probably only 10 to 15% of all C Mount lenses cover the 1'' sensor size needed for BMPCC. So most will vignette heavily on BMPCC and among those which do cover correctly the 1'' sensor size there may be still problems. Like:
1. Will the lens work without modification on a C- Mount to m43 adapter. Some don't. Can't focus on infinity and need some rework.
2. Is the image quality good enough. Most of those are surveillance camera lenses not optimized for high quality photo/video/film work. From what I've seen image quality on GH2 (tele converter mode) doesn't look good. It doesn't make sense to buy BMPCC which is supposed to give great image quality and stick a poor soft lens in front of it.
My hopes are in Metabone Speedbooster for m43.