We gush over the most expensive homes, and examine affordable housing all over the United States, but what about the economically diverse areas?

These are neighborhoods where home prices and home sizes are vastly different, but families share safe parks and sidewalks. And it turns out, these areas are good for society, Redfin reports.

The Pew Charitable Trusts found that neighborhoods with a wide range of incomes saw greater economic mobility than neighborhoods where the incomes were similar.

So where should you look if you want to live in an economically integrated city? Boston tops the charts with 51% of the city boasting a healthy mix of home prices with Seattle coming in second at 31%. Denver and San Jose tie for fourth at 24%.

But the similarities end there; 53% of San Jose is high-end compared to 24% affordable. For Denver, 7% is high-end and 69% affordable. Similarly, Baltimore and San Francisco are near the back of the pack with 11% and 10% respectively. Yet, Baltimore has only 3% high-end and 86% affordable, while San Fran is 88% high-end and just 2% affordable.

It's also interesting to see the breakdown of which neighborhoods were most diverse within the cities. For instance, Queen Anne, seemingly one of Seattle's swankiest neighborhoods, is actually 61% balanced. [Redfin]