What are all the types of music genres?

if u r referring to the nine muses, then they are:

1. Calliope, epic poetry

2. Euterpe, song

3. Clio, history

4. Erato, love poetry

5. Melpomene, tragedy

6. Polyhymnia, hymns

7. Terpsichore, dance

8. Thalia, comedy

9. Urania, astronomy