Well, here's the locrian idea. It really wants to resolve to another chord in the key but the first chord is suprisingly workable as a tonic, somehow. In all the years of playing, I have played only one tune that was locrian in nature and it was so bad I don't remember the name. Here goes nothin'.
I won't include a melody for this one, it's really too bizarre, but I've enjoyed playing some lines through it. Give it a shot!