The Foundation of Chirivella Soriano is the only privately owned large art centre in Valencia. It is also the ony one that will charge you more than 2 euros. But it may well be worth it. This independence gives the team all freedom to explore all dimensions of modern art and bring it to you. You are assured an interesting vision. You can get a taste from their website. In addition to a well-picked temporary exhibition, there is a fairly broad permanent collection of modern Spanish art from 1957 on. All this housed in a small XIV century Gothic palace.