how to interconnect custom post types?

I’d like to make a site about choirs, composers, conductors and singers. And so far I decided that I need to make a custom post type for “piece” — any piece can be associated with choir[s], composer, conductor and singer[s].

I could do this with taxonomies (tags), assigned to every “piece”. But I need to be able to write about conductors, too. So, I need to create another post type?

So, now I have “piece”, “conductor”, “composer” post types. And I can use Posts 2 Posts plugin to interconnect them.

But in some cases conductor may act as a soloist — and it seems that I could create “person” type, but anyway I can not say that “piece”<–(conductor)–>”person” and “piece”<–(soloist)–>”the_same_person” with posts2posts.

Actually I think that I need these post types (should I use tags for some?): piece, conductor, composer, soloist, collection (CD or live performance) and I need for some of them to have custom fields (creation year, publication year etc) — hope this can be done too by other means. I guess I could add custom fields to piece and put “conductor_id” here.

Do I overcomplicate things?

How this could be done?

Thanks!

UPDATE: Thanks, scribu; I was wrong: it looks like posts2posts is what I need.