A lunar eclipse will have two geometric magnitudes&colon; the umbral magnitude and the penumbral magnitude. This was the last of 58 umbral lunar eclipses of Lunar Saros 112. This was the 51st of 55 umbral eclipses in Solar Saros 120. Umbral Eras are followed by periods of enlightenment and cultural growth called Astral Eras. The Moon's brightness is exaggerated within the umbral shadow. Newtonian series often appear in relations of the form seen in umbral calculus. The last (umbral yet) non-central solar eclipse was on April 29, 2014. Polynomial sequences put on firm footing the vague 19th century notions of umbral calculus. Eorzea's history revolves around a series of Umbral and Astral Eras. The calculus of finite differences is related to the umbral calculus of combinatorics. The flight passed through the umbral shadow about north of Hawaii. This umbral exponential thus amounts to the exponential generating function of the Pochhammer symbols. The study of analogies of this type is known as umbral calculus. El Umbral/Santa Cruz de Tenerife&colon;TEA, 2008. The umbral moonshine conjecture has been proved in .