What would I need to create a MIDI converter for custom tunings, just intonation etc.?

I’m new to Arduino and am wanting to make a device that one would be able to code in a custom scale be it just intonation, Bohlen Pierce, or any other custom harmonic or inharmonic scale for use as a translator between a MIDI controller and a synthesizer module.

What would be the best set up for beginning this project? Would a MIDI shield and an Arduino be enough? I’m at ground one beginner level on coding an Arduino