Yeah, Mr. Softee in San Francisco uses the same music. I don’t recognize it from anywhere else. It sounds like a music box, especially because many of the notes don’t hit the beats.
They have them in San Francisco? I didn't know they existed until I moved up to the East Coast. I assume that Mr. Softee is where the Pete and Pete character Mr. Tastee comes from.
It reminds me of O Du Lieber Augustin. And it took me a really long time to figure out that title… I thought it was some well-known nursery rhyme melody, but it’s a 224 year old Viennese tune.
tangentially related: the football chant Who ate all the Pies? and the Mary Poppin's song Step in Time! both share the same origin of an old Cockney song Knees Up Mother Brown