ok so if i understood this right, the color temp usually corresponds to light emitted by thermal radiation of something very hot. LEDs dont emit light this way, so a "cct" was made for LEDs just to match the 'normal' light sources from heating?https://en.wikipedia.org/wiki/Color_temperature
To the extent that a hot surface emits thermal radiation but is not an ideal black-body radiator, the color temperature of the light is not the actual temperature of the surface. An incandescent lamp's light is thermal radiation, and the bulb approximates an ideal black-body radiator, so its color temperature is essentially the temperature of the filament. Thus a relatively low temperature emits a dull red and a high temperature emits the almost white of the traditional incandescent light bulb. Metal workers are able to judge the temperature of hot metals by their color, from dark red to orange-white and then white (see red heat).
Many other light sources, such as fluorescent lamps, or LEDs (light emitting diodes) emit light primarily by processes other than thermal radiation. This means that 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 comparison to a black-body radiator.
also, does this mean that 5000k cct for LED is exactly hte same as something burning at 5000k emitting light? does this imply that LED's are made just to match it? and theoretically i could have a completely random spetctrum made from LEDs that dont follow any color temp? (ex: extremely uniform across all wavelengths, something i presume is unnatural)