Thank you, Will. Yes, any understanding of music is good. I think it's possible that some of the flak that josepp is getting is because he's trying to dictate that there be no thread creep, and he's being sort of rude about it. Also, he lost me way up top when he drew a line across the circle and didn't know what chord went there, but did know the two on either side. Doesn't make a great deal of sense.

One thing I've noticed is that I can think about music as if it were equal tempered, making everything line up neatly, while also playing with instruments that aren't tuned that way. All the math doesn't really have anything to do with making music.

I am, however, still struggling to understand the utility of the circle of fifths. So far I've gathered that it's used to transpose. Seems like a complicated way to do it. Are there other uses?