1.Hyper-Calvinism: Beliefs: God is the author of sin and man has no responsibility before God. The Gospel should only preached to the elect. i.e. duty faith. and anti-missionary Belief in the five points is a prerequisite for true salvation, also known as Neo-Gnostic Calvinism. Proponents: Joseph Hussey John Skepp and some English primitive Baptists.
2.Ultra High Calvinism: Beliefs: That the elect are in some sense eternally justified. A denial of: The Well– Meant Offer; Common Grace; and God having any love for the non-elect. Proponents: John Gill, some ministers in the Protestant Reformed Church of America
3.High Calvinism: Beliefs: That God in no sense desires to save the reprobate, Most deny the Well-Meant Offer. Supralapsarian viewing God’s decrees. All hold to limited atonement. Most believe in particular grace and see the atonement as sufficient only for the elect. Proponents: Theodore Beza, Gordon Clark, Arthur Pink
4.Moderate Calvinism: Beliefs: That God does in some sense desires to save the reprobate, Infralapsarian in viewing God’s decrees. Affirms Common Grace. Proponents: John Calvin (some argue that he was a High-Calvinist), John Murray, RL Dabney
5.Low Calvinism: Beliefs: That Christ died for all in a legal sense, so one can speak of Christ dying for the non-elect. That God has two distinct wills. Affirms the Well-Meant Offer and Common Grace, Proponents: Amyraldrians , RT Kendal
6.Lutheranism: Beliefs: That Calvinist over emphasize God Sovereignty over man’s responsibility. That Christ died for all in legal sense, that some are predestined on to life but none are predestined onto death. That the sacraments are means of grace regardless of one’s faith. Proponents: Martin Luther, Philipp Melanchthon, Rod Rosenbladt
Note: Gordon Clark holds to God being the "author" of sin. Many in #2 would hold to that as well. United Reformed Church of North America would be closer to #4.