Which of the following is not a recognized type of phonetics?

Lingatory phonetics is not recognized as a type of phonetics. The study of phonetics is widely classified into three main branches: articulatory phonetics, acoustic phonetics, and auditory phonetics.

Articulatory phonetics focuses on how speech sounds are produced by the movement of the vocal tract, including the lips, tongue, and other articulators. Acoustic phonetics analyzes the physical properties of speech sounds as sound waves, examining how they are transmitted and perceived. Auditory phonetics deals with how sounds are heard and processed by the human ear and brain.

Since "lingatory" does not correspond to an established branch of phonetics or recognized terminology in the field, it is the answer that stands out as not fitting within the recognized categories.