Originally Posted by: CSchlegel
C ionian is D dorian is E phrygian is F lydian is G mixolydian is A locrian. They all have the exact same collection of notes. They have different mode names depending upon which note letter you designate as the 1, the root note.

I think you made a mistake there CSchlegel.
A Locrian is not realative to C Ionian, it is relative to Bb Major.