It all comes back to the Fletcher-Munson curve. At lower listening levels, we can't perceive bass and high frequencies very well. At around 80dB SPL, the curve flattens out and our perception of the frequency spectrum becomes more balanced. Meaning you won't be trying to compensate using EQ boosts, and unintentionally muddying your mix.
Sound on Sound have a great, free article on steps for calibrating. Note the table at the end that advises SPL calibration levels depending on room size. The 83dB SPL figure is often bandied around forums, even though it only applies to larger rooms with mid to far field monitors; it originates from Dolby calibration of dubbing stages. In a small room with near fields, 83dB SPL is deafening.
The SPLnFFT app came in handy as an iPhone SPL meter, and has according to research papers, come out as one of the more accurate SPL meter apps.