You would have to write your own software, unless someone in the Korg community has already done so.
The format of the Monologue's SysEx dump is not publicly available, but the manual says: "Consult your local Korg distributor for more information on MIDI implementation."
Once you have that information, you could read the tuning tables from the SysEx dumps. Then you just need the formats for your other gear/software.
It's only a handful of numbers to enter, so it's probably just as easy to do it by hand.