How each color is generated
White noise is produced from independent random values on every sample, giving roughly equal energy at every audible frequency. Pink noise filters that signal so energy falls off by about 3 dB per octave, weighting it toward lower frequencies. Brown (red) noise integrates the random signal further, a random-walk process, so energy falls off by about 6 dB per octave, producing a deeper, rumbling sound with almost no high-frequency content.