Operads of musical phrases and generation

https://hu-berlin.zoom.us/j/61339297016

Operads can be used as a framework to represent musical phrases. A musical phrase is seen in
this way as an operation that can be composed with some others to construct bigger phrases.
We recall the T construction, a functorial construction from the category of monoids to the
category of operads which is used to build the music box operad encoding musical phrases. We
then describe how to use it to randomly generate some elements from small musical phrases.
This is based on specific generation algorithms using colored operads and bud generating
systems. The latter are generalizations of context-free grammars.