The picture below shows two lights with the same color temperature that actually produce a very different color, or tint, of white light.  Color temperature is a characteristic of visible light, defined as the temperature of an ideal black-body radiator that radiates light of the same hue as the light source.  This is represented by the dashed line in the figure below.

Tint is measured in terms of the distance of a light source from the temperature curve made by an ideal black- body radiator.  The blue boxes represent commercially available tints (from chips made in different lots, or bins) for fixture manufacturers to purchase.  Sunlite narrows the tint of its products to a very small range.