What are the four main branches of musicology?

The branches of Musicology are Historical Musicology (includes Musical Theory and can be devided in classical music and comparative music), Western Art Music Theory EthnoMusicology (also called Comparative Musicology, often from a eurocentric point of view) and Systematic Musicology (highly interdisciplinary, including the fields of Music Philosophy, Music Psychology, Cognitive Music Psychology, Neuroscience, Robotics and AI and so on).

Contemporary jazz is sometimes called smooth jazz

Well, in the music industry during the 80s  cyndi lauper took a risk in changing a certain type of music art into something creative with her hair dye and wild hairstyles that were bold, her style was entice and screeching that she actually did her get a lot of hate for it because at that time hair dye and crazy patterns wasn't the norm girl's just wanna have fun for example that changed the work of her genre and a lot of people were influenced by her ways. there was other people who took the dare but not a lot. that itself refers to change in art style, because modern times changed.