You meet people who are born with it due to genetics and people who claim to have developed it. I was born with perfect pitch for genetic reasons and a friend of mine claimed to develop it for years. Another friend played random notes for us on the piano to see which one of us did better.
I did far better than my friend not only in accuracy for naming the notes but also the speed of recalling them. I've done this with other people like that too and every time, I scored that much better. Admittedly, these people who "developed" it were close to having perfect pitch but they had to stop and think about the notes and they weren't as accurate in recalling the pitches.
I never trained for my perfect pitch as this sense has been innate all my life. I can't explain to you how I got it. It's for this that I believe you can't learn true perfect pitch unless you are born with the genes that make it happen.
As for relative pitch, anyone can learn it and teach it to themselves. If you are interested, enroll for music theory at your school. Relative Pitch is essential (moreso than Perfect Pitch otherwise it wouldn't be so rare) to your music training.
A strong sense of Relative Pitch alone could get you somewhere as a music theorist at least and will help you keep your instrument in tune because you'll know if it's out of tune or not. A strong sense of Perfect Pitch only is honestly only helpful if you want to brag about it with your pals at parties. My high school's bell rang an F (actual tone in case you were curious) but Beethoven used many I-IV-V chord progressions in his music.
Which is more important to your music training do you think?
I do not think perfect pitch can be learned, but I play "by ear" without it. You can learn relative pitch by playing intervals and chord changes repeatedly. A lot of classical is very difficult if not impossible to play by ear.
Learning to read music is really not hard. Very young children do it and it is a definite advantage. Sometimes I learn to play pieces I have never heard.
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