Thanks for the comment.

I've always thought the overlap was more temperamental than necessarily to do with aptitude (not, generally, being very big of aptitude, though recognizing the outliers in both directions). I'd always thought musician-mathematicians were united in being willing to stay at home and practice and having tolerance for drills.

After writing this, and very much aligned with your comment, I think it's deeper and has also to so with that willingness, or least acceptance, of the long limbo of polishing the atoms, letting them slowly grow and coalesce and accepting the bigger picture when it comes.

But I think you can overplay the connection, all the same. At least I think both that there's much more to music than its mathematial structure, but also that music is most beautiful and sublime when it transcends its mathematical forms.