As the Wikipedia article explains the Pythagorean Comma, there are actually many possible commas caused by equal temperament when traversing the lattice in various ways. Most traditional harmonic theory exploits our psychological response to these gaps caused by equal temperament. Music theory based on the circle of fifths is a small subset of that.
Some people love it, though if you have extensive experience with a keyboard then it may actually be counter-intuitive (I learned music on a piano and I still get hopelessly lost on the frets of my bass guitar whenever I try to play something new).
I might as well mention that Robert Fripp's New Standard tuning for guitar is entirely in fifths:
Same side effect of turning seasoned guitarists into beginners, as the tuning is substantially different from other alternate tunings for guitar.
I wonder if one permuted the color wheel to be more like the CoF if it would make the basis of an interesting music visualizer, such that the harmonic relationships between tones correspond to the harmonic relationships to colors shown.
Here's an old visualizer that attempted something like this, but they didn't permute the color wheel in the manner I'm suggesting: http://www.musanim.com/mam/circle.html
As a result, buttons for all the (non-chromatic) intervals are within 2 buttons of the tonic ... for every tonic. Once you've got the pattern, it's the same for every key, no matter how remote.
For information/reference, it wasn't taught to me, or my sister, or my nieces, or my wife, or any of my colleagues at work. I've checked. Or at least, to be more accurate, none of them knew of it when I mentioned it to them recently. Perhaps it was taught - it certainly didn't stick.
YMMV. I don't claim that people weren't taught it, I only say that it isn't taught to every primary school student. I know the claim was "This stuff is taught in primary school." and that may be true, that it is taught in some primary schools. I'm saying it's not taught in every primary school. Maybe it's an American thing.
I thought it was interesting, and that there would be Hackers here who didn't know it and would be something that "... gratifies one's intellectual curiosity."
Hence the submission.
> just surprised it makes it here as "news".
As always, this raises interest in, and discussion of, separating "stuff that's interesting/useful" from "news." Personally, I'm not here for "news" so much as "interesting stuff".
It's an interesting issue.