It is indeed true that a Möbius strip should have one side. The best use of the mathematical idea of a Möbius strip does not involve a piece of paper you look a

It is indeed true that a Möbius strip should have one side. The best use of the mathematical idea of a Möbius strip does not involve a piece of paper you look at from one direction or the other, and see different notes; instead, you should be seeing the same notes, but see them right-side-up or upside-down depending on how many times you have gone around the strip. The Crab Canon analogy breaks down completely, because the notes are never upside-down. There are many canons that could apply to in the Musical Offering, like the ones that Bach illustrates by putting a second, upside-down clef on them. > The problem with the YouTube video is that its TWO playheads move in opposite directions. The PDF says: "To "perform" your model, one musician would start at each clef, read around the strip in the prescribed direction to the other clef, and then reverse directions." I believe the two playheads the only thing that gets you the actual structure of the Crab Canon, which is a palindrome. When you model it as a Möbius strip, then ignore the twist as "oh well the analogy doesn't quite work", and gradually change everything about it to say "oh, it's a palindrome; we just made it a Möbius strip to look cool" -- then it's not a Möbius strip. My current belief is that various people hear that the most famously nicknamed canon in the Musical Offering is a Möbius strip, and then contort their minds to believe that it is true, and tell other people the same thing. You could make the analogy work with the right canon! I think one of the canons in BWV 1072-1078 would do the trick. But they don't have catchy nicknames or references in GEB.