Verified Answer :

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).