Tornoceratidae as now understood is essentially the Tornoceratidae of Arthaber (1911) described in the American Treatise on Invertebrate Paleontology, Part L, revised to include three subfamilies, the Tornoceratinae, Aulatornoceratinae, and Falcitornoceratinae.
Miller et al. (1957) included the Tornoceratidae without subfamilies in the Cheilocerataceae, a superfaminily in the Goniatitida which also includes the Cheiloceratidae.
Tornoceratinae is based on the genus Tornoceras described by Alpheus Hyatt in 1884. Aulatornoceratinae and Falcitornoceratinae were established by Becker in 1993; Aulatornoceratinae based on Aulatornoceras, named by Schindewolf in 1922; Falcitornoceratinae on Falcitornoceras, named by House and Price in 1985.
The Tornoceratinae form the root stock of the tornoceratids and are derived from Anarcestida. Tornoceratinae in turn gave rise to Aulatornoceratinae and Falcitornoceratinae.
The Tornoceratinae includes Tornoceras, Epitornoceras, Lobotornoceras,Protornoceras, and Tornia, described in the Treatise (L 1957), along with Crassotornoceras, Linguatornoceras, Domanikoceras, Simcheiloceras, and Oxytornoceras which were added later.
Aulatornoceras, type for the Aulatornoceratinae was previously considered a subgenus of Tornoceras and is known from the Upper Devonian of North America and Europe. Aulatornoceras gave rise to Truyolsoceras and Polonoceras, which gave rise to Armatites, Kirsoceras, and Pernoceras, which gave rise to Pseudoclymenia making up the Aulotornoceratidae.
Genera making up the Falcitornoceratinae form an evolutionary series, Phoenixites, Falcitornoceras, Gundolficeras, Exotornoceras, leading up to Posttornoceras, type genus of the Posttornoceratidae.
Read more about this topic: Tornoceratidae
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