I was playing a concert yesterday and during the concert (surprisingly) I was counting rests and thinking about number theory! I was intrigued at the possibilities of relating modular arithmetic to counting syncopations of, say, groups of three notes over a number of four note measures.

That might not be practical for the average musician, but creating a shortcut method can be useful. There have been times when I'm not sure how many measures of rest I've counted. I find my place again by looking at a repeated figure the violins might be playing and realizing it will start again on beat 1 of a measure when I've counted 3n measures, where n is an integer greater than 0.

I'm not sure how many of you have a music background (I know someone out there is a music major!) but it'd be cool to see how number theory and performing music are related and if any useful applications could come out of that.