Is there a program that can select a set of 5 to 10 colors based on a few main colors?

Say I want a color scheme to be 'vintage' and I know that, at least to me, that means a lighter sea green and a faded orange color.

I know the art students will understand color theory enough to do this from memory, but for the rest of us ...

how can I choose colors for a website that will look good together and not clash or annoy everyone. Is there a program or website that can do this quickly and easily?