Is there another term, or even a single word, for "tonal recognition"?
Consider Music-evoked Autobiographical Memory (MEAM). It appears to be an established term in the literature to refer to associative memory that is triggered by music. Here are some examples:
The neural architecture of music-evoked autobiographical memories. - Janata P, Cereb Cortex. 2009 Nov;19(11):2579-94. doi: 10.1093/cercor/bhp008.
Music-evoked autobiographical memories, emotion regulation, time perspective, and mental health - Camille Blais-Rochette, Dave Miranda, Musicae Scientiae, volume 20, issue 1, pp 26-52, DOI: https://doi.org/10.1177/1029864915626967