Birdsong and language
In the Indian state of Kerala, the Brahmin priests apparently chant their prayers in something that sounds utterly unlike language but quite like birdsong, according to a post on this blog. The prayers have been passed on from generation to generation for thousands of years and might even pre-date language, according to this article.
Birdsong is perhaps the nearest thing to human language and music in non-human creatures. Maybe language and/or music first developed partly as a result of our distant ancestors imitating the birds.