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I can identify a pitch without any external reference, making it look like I have absolute pitch, but I don't. I'm just super fast at inferring pitches from memory. It was a real, useful, tangible talent/merit when I used to teach the shamisen and Western music theory, but now it just adds a little depth to when I listen to music.
iirc this is typically called quasi-perfect pitch; essentially it's relative pitch but a few reference pitches are memorized
How would you differentiate your skill from perfect pitch? I just replied to a different comment they might gave perfect pitch. Identifying a pitch without reference is one of the things identified on the wikipedia page. https://en.wikipedia.org/wiki/Absolute_pitch
Good question. I've always thought people with absolute pitch can immediately "feel" the pitch, as in, "that's a C!" Meanwhile, I still need to infer through internal reference points, as in "that's a C, because the soundtrack of Bob-omb Battlefield from Super Mario 64 begins with the same note, which is a C!" My way takes 2-3 seconds, while those with absolute pitch don't need to extrapolate/infer.
I feel like the important part is just to be able to remember sounds well enough to do that. You just haven't memorized them directly. The notes and even the entire scale are ultimately arbitrary, so matching the remembered pitches to notes is just some additional memorization.
That's such a healthy take on the matter! Incidentally, there was a short period during which I tried to memorize the equally tempered twelve note chromatic scale, but that soon lost its joy. I'm fine with "just" being good at it rather than perfect. 😄