Mechanical Musical Instuments, the First Computers?

I came across this idea that mechanical musical instruments are the first computers. This philosophy really intrigued me. It really shows the sort of historical impact that these items had on people. I take Cd's, DVD's, mp3's completely for grantage. The concept that having a song on a disk as a new idea is completely alien to me. So the organ is the computer which can interpret a program and act accordingly, and the rolls/books of holed music are the Cd's which hold the program. This new angle on street organ technology is really fascinating.