The time intervals within each main phase of the Moon (new moon, first-quarter, full-moon and last-quarter) are not identical. In fact they happen to vary pronouncedly on time. A qualitative explanation for these "anomalies" is outlined at the beginnig of this text. Additionally the problem is solved using a set of equations worked out by non-linear regression procedures. The equations allow to calculate date and hour of a main phase occurence within a standard error of 20 min. The data were extracted from lunation-tables obtained at Observatório Nacional do Brasil for the period of 1940 - 2020.
