Lunar calendar average length of the synodic month is days. Thus it is convenient if months generally alternate between 29 and 30 days (sometimes termed respectively “"hollow"” and “"full"”). The distribution of "hollow" and "full" months can be determined using continued fractions, and examining successive approximations for the length of the month in terms of fractions of a day. In the list below, after the number of days listed in the numerator, an integer number of months as listed in the denominator have been completed: These fractions can be used to construct a lunar calendar, or in combination with a solar calendar
Lunar Saros 126 Greatest Eclipse of the Lunar Saros 126: 1859 Aug 13, lasting 106 minutes. Last Central Lunar Eclipse: 1931 Sep 26 Last Total Lunar Eclipse: 2003 Nov 09 Last Partial Lunar Eclipse: 2346 Jun 05 Last Penumbral Lunar Eclipse: 2472 Aug 19 1901-2100 1913 Sep 15 1931 Sep 26 1949 Oct 07 1967 Oct 18 1985 Oct 28 2003 Nov 09 2021 Nov 19 2039 Nov 30 2057 Dec 11 2075 Dec 22 2094 Jan 01 Lunar Saros 126 Saros cycle series 126 for lunar eclipses occurs at the moon's ascending node, 18 years 11 and 1/3 days. It contains 70