It's called an "IDC cable" or sometimes a "Socket cable assembly" -
- but it isn't going to work. Those two connectors don't even have the same number of pins, let alone the connections in the right place.
You are going to need to get a 30 and a 32 pin dual-row IDC connectors, like this one -
Digi-Key - MSD30K-ND (3M - 3419-7600)
- and a length of .050" pitch ribbon cable.
The connectors are usually .1"x.1", but measure yours to make sure.
You will have to cut and twist the cable to get the right pins to wind up in the right places - but on a positive note, you may not have to solder anything. The IDC connectors can be set with a pair of slip-joint pliers.