MIDI (short for Musical Instrument Digital Interface) is an audio format that is widely used in programs for writing music and mixing. Through this format, various musical instruments can interact with each other. Users can use the MIDI format to facilitate the compatibility of different applications and devices among themselves.
There are a lot of audio editors for editing MIDI, which allow you to cut such files, glue several files into one, combine their sections, insert new sounds into a MIDI file, and remove noise.
As already mentioned above, many of the programs that work with MIDI are powerful professional audio editors.