Are you just looking for notation software? EasyABC would be a good choice as ABC notation is commonly used in the 'trad' music community. thessession.org and Folk Tune Finder are good resources.
There's another way to do this: the abc music notation system. You can read about it here: https://wiki.linuxaudio.org/wiki/abcmiditutorial
There are lots of programs that can use the abc music system, and one of them converts abc notation into midi files. Check this out: http://www.nilsliberg.se/ksp/easyabc/
Hope that gives you an alternative to consider...