Saut majeur

The saut is a leap in the air.

Petit saut

This describes a repositing of the feet via a small jump, which makes the next step easier. Arbeau gives the example of moving from pieds joints (feet flat, heels together) to grève droite (high kick right). You could shift your weight to the left foot and then kick, but it is more elegant (and slightly easier to balance) to momentarily lift the left foot and reposition it as you begin to kick with the right foot, that is a very small jump. The 'petit saut is assumed to occur when ever you need to make such a movement, and is not notated in dance descriptions

Saut majeur

The saut majeur is a larger version of the petit saut, in which one jumps higher. This is more noticeable, takes more time, and is notated as a dance step, for example in the galliard.