Colour temp is not the only consideration. A lamps CRI , Colour Rendition Index, will tell you more about it's ability to display colour correctly, than colour temp. Natural sunlight has a CRI of 100, and the closer to that a lamp is the more naturally it will reproduce colour. Different brands and even within a manufacturer, of a specific colour temp can have vastly different CRI. As an example, Philips has lamps with a colour temp of 5000K and a CRI of around 94. They also have some with the same colour temp that have a CRI of only 82. while the two will appear basically the same, they will not render colour the same, so some things will look different under the two lamps.