Can you be tone-deaf, but love music?

Researchers say that tone-deafness has a physiological basis: few neural connections between ... uh ... the frammitz and whatzitz lobes.

I think I may be tone-deaf. On the other hand, I may just have been lazy in music classes (I was lazy in all my other classes). I absolutely love music but I cannot play any musical instruments (laziness again being the likely factor). I'm pretty good at Guitar Hero, but if I anticipate the upcoming buttons I'm just as likely to guess wrong about whether a riff is high-to-low as low-to-high.

I can definitely tell "high and low," at least with pure tones. But if you were to play a "C" and a "D" on a guitar or a piano, I could probably not say with certainty which was higher, much less say "that was a 'C.'"I certainly cannot match up a note played on a piano and a note played on a guitar.

But again, I absolutely love music. Am I tone-deaf, or just lazy?

[Update: [Consensus is "tone deaf but don't fret." (See what I did there?) ]{style="color: #000000;"}]{style="color: #ff0000;"}

[[I'm fascinated by new-found limitation! I've often wondered what being color blind "would be like" (I can hear Daniel Dennett say "It would be exactly like the experience of being color-blind"). But now I'm on the opposite side: here's this sensory experience I love and I find that others have a richer (Necessarily? Well, if it's like blue and green, yeah, that's a big deal.) experience. How romantic! O Cruelle Neurons!
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