One solution for this can be found with find.
$ mkdir foo bar
$ touch foo/a.txt foo/Music.txt
$ find foo -type f ! -name '*Music*' -exec cp {} bar \;
$ ls bar
a.txt
Find has quite a few options, you can get pretty specific on what you include and exclude.
Edit: Adam in the comments noted that this is recursive. find options mindepth and maxdepth can be useful in controlling this.