Thanks chrisw_63 for your answers
Anyway, I guess that if I only connect the FCB1010 to my computer, which will do the postprocess and send the notes to the keyboard, then I shouldn't have any problem with the compatibility. I have an Emagic Unitor 8, so, I can route the devices easily.
Regarding Bome Translator: yes, that's the setup I'm testing now. The closest I got without using anything was sending "Note" messages; the keyboard detected the chords, but unfortunately this will only work for Mayor chords :-(