Hello,
All of the presets are stored on the pedal. When you use EDM or H90 Control, you are viewing everything that is saved to the pedal and this allows you to edit and manage the presets.
Using the onboard footswitches, you can select the first 5 presets saved to the pedal. If you use a MIDI controller, you can access the additional presets.
Let me know if that clears it up for you or if you need additional help.
More info can be found here: https://downloads.eventide.com/audio/manuals/MicroPitch_QRG-V12.pdf
By the way, I would suggest using H90 Control instead of EDM to accomplish this: https://www.eventideaudio.com/downloads/?product=H90+Control