So. If I have done my maths right, the seedings will look like this:
Seeds: Celtic, Aberdeen, Rangers, St Johnstone, Ayr, Falkirk, Motherwell, Dundee/Dundee Utd.
Non-seeds: Dunfermline, Livingston, Hamilton, Dundee/Dundee Utd, Hibs, Ross County, Partick, Kilmarnock.