Assuming that your post type is registered as albums, you can add a custom taxonomy to the post type as follows:
add_action( 'init', 'create_album_taxonomy' );
function create_album_taxonomy() {
register_taxonomy(
'albumtype',
'albums', // content type here
array(
'label' => __( 'Album Type' ),
'rewrite' => array( 'slug' => 'albumtype' ),
'hierarchical' => true,
)
);
}
Place this in your functions.php. Hope this helps