Which branch of musicology approaches music from a scientific or philosophical perspective
1.music theory
2.systematic musicology
3.historical musicology
4.ethnomusicology

Option (2)

Explanation:

Systematic musicology can be defined as a large scale inter-disciplinary research area that primarily focuses on the music, rather than the detailed demonstration of the music. This term is commonly used in the central portion of Europe, and is one of the basic branches of musicology.

Thus, systematic musicology is that branch of musicology that approaches music from a scientific perspective or from a philosophical perspective.

Therefore, the correct answer is option (2).