Inspired by discussion on time-nuts, here's a revised noise-colour graph. There are a few updates: The PSDs (both phase and frequency) now cross at 1 Hz (with the relation between phase-PSD and frequency-PSD explicitly stated), and the ADEV/MDEV theoretical lines now include the formula for the pre-factor (the old graph only had 'proportional to' here).

Source: example_noise_slopes2.py

Simulated time-series with power-law noise. The relation between phase-PSD, frequency-PSD, ADEV, and MDEV is shown.

It is left as an exercise to the reader to properly explain the ADEV pre-factor for flicker-phase noise :).