There's music cognition, which is a branch of science that has to do with music.

Alan Earle Stellings has written:

'Music cognition as musical culture' -- subject(s): Music, Cognition, Psychology, Philosophy and aesthetics

'Aspects of reference in music' -- subject(s): Music, Philosophy and aesthetics

Alf Gabrielsson has written:

'Strong experiences with music' -- subject(s): Music appreciation, Cognition, Music, Musical perception, Psychological aspects

There is no such thing. Verbs have a past tense. "Cognition" is a noun.

Stephen M. Cormier has written:

'Basic processes of learning, cognition, and motivation' -- subject(s): Behavior, Cognition, Human information processing, Mammals, Motivation (Psychology), Neuropsychology, Psychology of Learning

'Modal music composition' -- subject(s): Musical intervals and scales, Composition (Music), Harmony