Machine vibration baselines are synthesized without averaging historical vibration data. Instead machinery configuration information is used, including data about the machine train, the machine's rotating components, and the machine speeds. For each component being considered, a plurality of parameters is identified for deriving baseline portions. The parameters for one component are used to identify baseline vibration amplitude floor values, vibration amplitudes at frequencies corresponding to various harmonics of a rotational speed, and vibration amplitudes corresponding to forcing frequencies and their harmonics/sidebands. Parameters for other components also may be used to identify amplitudes at harmonic frequencies and forcing frequencies.