"Allen L. Barker" <email@example.com> wrote in message <a href="news://M80cd.5918$SZ5.firstname.lastname@example.org...">news://M80cd.5918$SZ5.email@example.com...</a>
>...there are some > very nice and practical applications of group theory to > music.
Interestingly the operations of "moving by an interval from one note to another" as is being discussed at length under "query about compound intervals..." form a group. But only if you consider "directed intervals" (otherwise there is no inverse). I think this one of the things which underlies my eschewing the consideration of positive intervals only.