[1/3/1/2] The color band of the black body where we do consider the brightness change according to Stefan-Boltzmann law
When the temperature of a black body decreases, its brightness of the emitted light decreases as well as its color becomes blue to red. Thus for example when the original temperature of the black body is 5000 deg. K its color is almost white. Then if the temperature decreases its color changes from while to dark red. Inversely if the temperature increases its color changes from while to blue and becomes brighter than its original brightness. The image shows such brightness change as well as color change. Of course any computer display has its limit of brightness. In particular the display cannot express extremely shining blue color.
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