Standard dead-hang pull up is grasped with an overhand/underhand/alternative-hand grip. Then the body is pulled up until the chin clears the bar, and finished by lowering the body until arms and shoulders are fully extended. Stricter standards would only consider a full repetition to be one in which the elbows pass behind the coronal plane.
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Behind-the-neck pull-up
The chin is dropped forward through cervical flexion. The goal of the pull-up is to touch the bar with the back of the neck
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Muscle-up
A pull-up with a maximal range of motion, transitioning to a DIP. Generally the initial pull-up uses an overhand grip to make the switch easier and is more explosive in order to take advantage of MOMENTUM from the first half of the exercise to aid in the second half.
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Chin up
if you want to do muscle pull up doing this pull ups!