I feel pretty dumb, but I realized something obvious this morning. I've owned, but not actively played, an ocarina since 2009... This morning I realized I'm not locked to its default key of G. I can pick any key, and while I won't have a full octave of the key, I'm almost guaranteed a major scale, even if it starts and ends on a note that isn't the tonic. Wow, do I feel like an idiot.

Are there any other technical aspects of the range I'm still not seeing?