Another multi-branched thread - how do we get so far off topic?<P>If I do say so myself, I'm a pretty good engineer. I've taken a lot of math and physics courses, and I've worked in the field for 35 years or so. I studied my craft at school, on the job, and at home. I enjoy the technology and creating new devices.<P>I also was pretty good at English and German, which made me a decent speller (Shos, I already know I make tipos and need a preafrooder) and grammarian (I had to look that one up, though). I'm not half bad at crossword puzzles and other word games.<P>However, I sure wish I knew more about music, and I'd REALLY like to be able to play the piano. Too bad I didn't study those when they were being offered to me in school. I'd be a better rounded personality, and maybe I'd be able to solve some of the mysteries you guys keep posting up here! Just picking up little tidbits of information here and there about music, and classical music in particular, leaves me behind in a lot of conversations with people I would otherwise be able to dazzle with my brilliance.
<P>In other words, learn as much as you can, as soon as you can. There's nothing wrong with a violinist understanding the physics and math that make the thing work like it does. I personally find fact that the frequency of half-steps are related to each other by multiples of the twelfth root of two to be a very interesting concept. It took more than a little math to be able to understand exactly what that meant, though.