Have been trying to wrap my head around chaos theory for years, and came across an article by Douglas Hofstadter in Metamagical Themas (an anagram of Mathematical Games, which Hofstadter used in his tenure with Scientific American) on “Sparking and Slipping” that gave some insight into how the trumpet works. (I know, a horribly long sentence, which I blame on my time spent living in Germany—sorry!)
Anyway, in talking about Strange Attractors he used the analogy of a marble in a bowl. At rest, it will be in the same place (depending on the shape of the bowl), but when disturbed, it will take time to go back to that “attractive” place. Seems to me that notching on the trumpet is related to that—the time it takes for the note to “come to rest” has implications for response and security. Weird thing is, there are trumpets that respond well but aren’t all that stable, and there are horns that are stable that don’t respond well.
Am hoping some of the more savvy minds amongst us can shed some more insight on this. (I know that practice can counteract this—I’m not interested in fixing the problem, but rather understanding it.)
A turbulent thing, the trumpet. Chaotic too.