Thanks, Ocarina Owl. I listened to your video, and I like it. My favorite part is the ocarina. I didn't know it could be so lyrical.
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abcnotation.com has four tunes for Pretty Saro, and of them all I like the third one best. It is what Ocarina Owl is playing. For whatever reason, it is in the key of B-flat, with the highest note being the G above the staff. Too high for the average singer, I think.

I believe I'll add it to my soprano recorder book.