Depends on what website you look at, you'll get different answers at each. There's too much conflicting data on the wiki article you posted alone:
"Color temperatures over 5,000K are called cool colors (blueish white), while lower color temperatures (2,700–3,000 K) are called warm colors (yellowish white through red)."
"4,100–4,150 K Moonlight,[2] xenon arc lamp" --> "A xenon arc lamp is a specialized type of gas discharge lamp, an electric light that produces light by passing electricity through ionized xenon gas at high pressure to produce a bright white light that closely mimics natural sunlight."
Then you have this...
"Many other light sources, such as fluorescent lamps, emit light primarily by processes other than thermal radiation. This means the emitted radiation does not follow the form of a black-body spectrum. These sources are assigned what is known as a correlated color temperature (CCT). CCT is the color temperature of a black body radiator which to human color perception most closely matches the light from the lamp. Because such an approximation is not required for incandescent light, the CCT for an incandescent light is simply its unadjusted temperature, derived from the comparison to a black body radiator."
HID bulbs follow the same rules as fluorescent bulbs (as they are gas-arc type bulbs and not incandescent) meaning they don't follow the typical light scale, including the ones you linked.