How to display genre of music content from one page to another page in wordpress

If I’m understanding your approach correctly, you seem to have hard coded music items?

I’m suggesting that you create custom post type, which whould be Music. You should also add custom taxonomy for the post type Music.

After this you can add music items under Music post type and set music items’ genres as taxonomy. When this is done, you can add category url to menu.

Creating custom post type and custom taxonomy will help you to maintain your music items.