Someone over at FutureProducers (on an unrelated topic) also suggested relative pitch, so I'm going to turn my attention to that. JayReally appreciate taking time out of your day to provide an awesome answer. Eartest gives you aural feedback, so you know.

Even though his course doesn't require theory, I would recommend some basic theory as this would probably make it a little easier to understand. Absolute pitch is a musical ear trainer that uses a unique method to help you acquire absolute or perfect pitch.

His course is far more in depth and extensive than any ear training course I have ever seen. I've got a background of studying music at an University level. I highly recommend David's Relative Pitch ear training course. In music, chords and melody move too fast to be able to identify notes with just perfect pitch.

I know a few people that have really good perfect pitch (mine is ok, I've spent more time on relative pitch) and while it's useful and kind of 'cool' to name a note out of thin air, it is not as important as understanding the relationship between notes. Just having perfect pitch would be like only knowing the flavor of spices and foods but not knowing how they go together. Relative pitch is the basis for understanding melody, harmony, the key of a song, how chords function etc. With relative pitch training you'll learn how much higher and lower. The fact that you can tell if notes are higher or lower means you're off to a good start. In your case a F, which if it was higher would be a perfect fourth above, or if lower a perfect fifth below. Now, if you knew the first note you heard was a C, then with relative pitch you would know any other notes that followed. You wouldn't know how the two notes function in relation to each other. With only perfect pitch all you would know is, yeah, that's a C and that's a F. In your example you said you couldn't tell the difference between a C or a F. Perfect pitch doesn't tell the relationship between the notes or the distance between them. If you hear a note then you can tell if it is a C or a D etc. Perfect pitch, to put it simply, is note memorization. I would recommend that you get the Relative Pitch course instead. I have both the Perfect Pitch course and the Relative Pitch course by David Lucas Burge.

Perfect pitch ear training supercourse