 Quote by f95toli
You are missing the point: The 5000K refers to the colour of the light; it does not imply anything about how the light was generated. It is simply a measure of how we perceive the colour of light.
Colour temperature is usual way of specifying this and is used not only for light bulbs but also in cameras; when you are changing the while balance of the camera you are actually telling the camera the colour temperature of the light you are using (e.g. 5600K for Flash photoraphy or 3000K for incandescent light); DSLRs will often allow you to enter the colour temperature directly.
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The problem is that you can't really specify the subjective effect of a line spectrum illuminant in a single figure. You can project the CFL light onto a screen and 'match it' to a hot tungsten filament. BUT that doesn't tell you at all, what coloured objects will actually look like under that illumination. There are many different combinations of lines that can 'match' a tungsten filament but the gaps between the lines mean that there is no information about the reflectivity of a pigment in those gaps.
The use of Colour temperature in photography is a rather different matter. The analysis of the three colour sensors is essentially, broad band and is matched fairly well to the eye's analysis. Hence you can do a fair job of colour correcting for different lighting conditions when the illuminant is a basic black body spectrum. If you try it with fluorescent lighting it tends to fall to pieces and, at least on cameras I have used, doesn't commit itself to a 'temperature'. It just gives you a set of options for the least worst result. (Which sort of proves my original point, actually)