This period is also in a very good synchronicity with five Venusian visibility cycles (the Venusian synodic period) and thirteen Venusian revolutions around the sun (Venusian sidereal period). This means, that if Venus is visible beside the moon, after eight years the two will be again close together near the same date of the calendar.
|Astronomical period||Number in an Octaeteris||Overall duration (Earth days)|
|Synodic lunar month||99||2923.528230|
|Sidereal lunar month||107||2923.417787|
|Venusian synodic period||5||2919.6|
|Venusian sidereal period||13||2921.07595|
The Octaeteris, also known as Oktaeteris, was noted by Cleostratus in ancient Greece as a 2923.5 day cycle. The 8 year short lunisolar cycle was probably known to many ancient cultures. The mathematical proportions of the Octaeteris cycles were noted in Classic Vernal rock art in northeastern Utah by J. Q. Jacobs in 1990. The Three Kings panel also contains more accurate ratios, ratios related to other planets, and apparent astronomic symbolism.
See also 
- Mathematical Astronomy Morsels, Jean Meeus, Willmann-Bell, Inc., 1997 (Chapter 9, p. 51, Table 9.A Some eclipse Periodicities)