For example, using the melody you've given us for Ionian:I'm supposed to write a second part either above or below those notes in the treble clef only?Similarly, with the other 5 modes? Just write the second part above or below the notes you posted?
can·tus fir·mus (knts fîrms, fûr-)n.A preexisting melody used as the basis of a polyphonic composition, especially in 14th- and 15th-century polyphony.