The thing you need to take into account, is that everybody has relative pitch. Having perfect pitch doesn't give you an excuse to have poor relative pitch. In my opinion, having perfect pitch means that you should have BETTER relative pitch than an ordinary musician who has decent relative pitch, but no actual ability to recognize pitch without a reference note in the first place. Of course, if you have perfect pitch, then transposing at sight will cause you to experience a near painful level of cognitive dissonance. Other musicians without pitch recognition will be able to transpose at sight without experiencing this painful effect. Does this really mean you would trade your perfect pitch for their relative pitch? Or does it actually just mean that you need to improve your ability to transpose (i.e. improve your relative pitch)? Have you ever played a harpsichord tuned to Baroque pitch?
You would know that due to temperaments etc., notes are actually tuned in relation to each other rather than their 'absolute' pitch. This problem is actually quite annoying when one is, for example, singing in an a cappella group. The one with perfect pitch may be singing the correct note, but it will be out of tune in relation to the other notes in terms of chordal harmony.
So in the context of that a cappella group, the person with perfect pitch is NOT singing the 'correct' note if he or she is out of tune with the rest of the choir. Just because one is proficient on the piano does NOT give that person the excuse to be UNAWARE of what is called 'just intonation', or 'true intonation'. A string quartet or an a cappella choir tune to each other, not to some stupid piano. If there is a pianist in the choir who insists THEIR pitch is correct and everyone else is INCORRECT....well.... that pianist certainly wouldn't be welcome in MY choir This is why I recommend pianists study secondary and even tertiary instruments (mine are cello, recorder, and singing), so that they can know more about being in tune than just calling their piano technician and paying him $100!
. I'd imagine that if you were born way 'bach' (can't resist, sorry, but I mean around that period),
you may have A=415 Hz, although the non-standard tunings would be an absolute pain in the behind.
Next time try harder. But how could they be? You'd have never heard anything else? Are you suggesting that there were a stack of perfect pitch enabled people who simply suffered in an out of tune world? Wouldn't they have complained/done something?
I did play Clarinet and Alto Sax for 5-6 years throughout middle-high school, and do play the guitar (and can understand 'fine' tunings that the piano doesn't really experience).
For non-PP people, maybe it's like when we see the words for a color in the wrong color. Like so...That starts messing with you after a while.
Now I wonder what's wrong with my brain because that doesn't bother me at all...I don't have perfect colour? In fact now that I think of it I often perceive colours slightly differently than others...I think I have good relative colour though, if I have something to compare to I can easily tell them apart
I took a test on a computer where they flashed words in colors (random short lengths of time, random space between) like that and you identified either the word for one part or the actual color in another part. It got really annoying and I had to focus on blocking out one element.