I haven't really considered color temperatures since my broadcasting and post-production days. There, you really want all your monitors setup the same way. If you already have to buy a light meter, you might be able to determine color temperature using filters: 1st reading, no filter. 2nd reading, red filter. 3rd reading, blue filter. I think that the transmissivities would shift from red towards blue with increasing color temperature. I don't know if there are convenient charts out there for specific density filters or not. You could probably check light sources of known color temperature, note the percentages, and develope your own reference.
Joe