What the device really needs, I think, is the possibility to map the fraction buttons (1/1, 1/2, 1/4T… etc) to MIDI events separately. I’m trying to figure out how to do it with the Divisor, but if it works, it is a pain (maybe with some additional meta-device?).
The 1/2 1/4 1/8… buttons should be selectable and mappable in MIDI Learn Mode.