I have active perfect pitch then.
Interestingly, I don't think I have relative pitch. I can recognize intervals by identifying what the two notes are. But I can't immediately recognize an interval without figuring out the notes first.
Hi chopincat,
thank you for this description, that's really interesting, because of some reasons, which I'll try to "encircle" now. But I'll have to verify it by looking into a book sometimes:
First, an "interval" is defined via the proportion of frequencies, e.g. tone with frequency 880Hz and tone with frequency 440Hz make 1 octave.
The proportion of their frequencies is 2:1.
But in different temperaments the tones, for example of a "just" third: 1:1,25, of a pythagoreian major third 1:1,265625, and of a welltemperated third 1:1,259921 , show slightly different frequency-proportions!
So it could be, that you have encountered many different temperaments of instruments until now, and that the different temperaments might have influenced the ability to at once say which interval it is?
But I don't think so, because people who are playing in competitions for Carnegie Hall, as you described in the other thread, are certainly accustomed to listening to many instruments, so it shouldn't be too harmful.
What I think is the following: Per definitionem the "at once naming" of intervals isn't a limiting factor for "active perfect pitch".
Perhaps we shouldn't forget the fact, that intervals can be played successive ( first one, then the second tone ), OR they can be played simultaneously. In the first case there should be enough time for someone with active perfect pitch to identify the 2 notes given, and then name the interval. And in the latter case there are chances, too, I think, if there are problems. First, one could train it on a given instrument. Secondly, the man who created the 3 above mentioned definitions, was a very very good piano teacher with active perfect pitch, too, who had in his classes professional pianists and teachers, and of these students even the best ones, who also had active perfect pitch, sometimes had problems. He played, for example, modern chords to them, with many tones, or even clusters, and they had to define the single tones and / or to name the chords (if possible).-
One student is reported to have said: "My brain / mind cannot do it!" But he was told to practice and train it, and not to be lazy.

Concluding one shouldn't forget: For a person with active perfect pitch in the sense of the above given definition, one plays a tone, and the other person will name the tone. After two weeks, e.g., when one asks the person: "now, please, SING a g#1 for me!" the person ought to be able to do that, at least as exactly as his experience and "listening-continuum" (temperament, other influence, etc.) provides the basis for her / his active perfect pitch.
I think if a person is living, since birth, for 20 years or more in a continuum in which all the tones are a half tone down in comparison to our "normal" world, she / he can have active perfect pitch, too. But if transported in "our" continuum, then, he / she will have to adjust very much. And, maybe, to re-learn... . People with active perfect pitch have a built-in tuning fork in their heads!

But NOBODY can sing, for example, an "a" (with approx. 440 Hz), without having heard any (musical) tones (and their names) before. It's very unlikely - and only by chance - that somebody, even with active perfect pitch, can sing an "a1", if asked, while never having heard a tone of any (musical) kind before. For example a newborn baby, assumed, fictionally, it could understand our request.
Very cordially, 8_octaves!