Like Gherardi, Villeneuve simply provides a list of the steps to be used for the dances in his A Collection of Cotillons.
The Rigadoon Step
The Double Chasse forwards and backwards
Contretems forwards, backwards, and in turning
The Glissades to the Right and Left
The Sissoons forwards and backwards
Four of Villeneuve’s steps are among those described by Gallini: the balance; the pirouette; the rigaudon; and the contretems. Gherardi includes glissades within his step sequences. Villeneuve’s double chasse is presumably Gherardi’s chassé double included among the figures in his Second Book of Cotillons. By ‘Sissoons’, Villeneuve must mean pas de sissonne. These are not mentioned by either Gallini or Gherardi.
Between them, Gallini, Gherardi and Villeneuve suggest around a dozen steps to be used in cotillons. All are familiar from the early 18th-century treatises that set out the style, technique and step vocabulary of ‘French’ dancing or la belle danse. However, it was for the dancing masters (and perhaps the dancers as well) to decide how and when to use these steps in individual cotillons.