Assuming a yearly rotation of who gets 8 games...
If everyone has 1 perm then you play the other 15 schools 9x over 17 seasons. Which is just over every other year (8.5x).
If everyone has 2 perms then you play the other 14 schools 8.43x over 17 seasons. Which is as close to every other year as you can get (8.5x).
If everyone has 3 perms then you play the other 13 schools 7.77x over 17 seasons. Which is a decent gap from every other year (8.5x).
If they keep what they had before where some teams have perms and others do not, then it is a mess.
Edit
Like I said in the other thread if one team always plays 8 and the other schools all go 2+7, then everyone plays each other every other year.