Term for describing auditory memory similar to 'eidetic' (for visual memory)
Echoic memory , or auditory sensory memory
is a type of memory that stores audio information (sound). ...
The purpose of echoic memory is to store audio information as the brain processes the sound. It also holds bits of audio information, which gives meaning to the overall sound.
(healthline.com)
Collins Dictionary defines echoic memory as:
(psychology)
the ability to recapture the exact impression of a sound shortly after the sound has finished