Hrmph.
1. a, b, c
2. a, c, b
3. b, c, a
4. b, a, c
5. c, a, b
6. c, b, a
7. a, b, c
8. a, c, b
9. b, c, a
10. b, a, c
11. c, a, b
12. c, b, a
YEEEHAWWWWW!! Got it.
I still don't get 1, 5, and 9 playing each other at any time. Of course, you still have one round to work with.