Morley was able to show that Glyph X follows Glyph C and precedes Glyph B, and that Glyph B never occurs without the presence of Glyph X. One of the most mysterious components of the Lunar series is Glyph X, whose existence and placement within the sequence was pointed out by Sylvanus Morley a hundred years ago (Morley 1916). Although the significance of many of its elements has been discovered thanks to hundred years of research, there are still significant lacks of understanding. The Lunar Series of Classic Maya hieroglyphic inscriptions still presents intriguing mysteries to the scholar. In the end, the glyph could also refer to this Grand Calendar Round Cycle, for each of the twenty sub cycles correlates with an interval of three Bak'tun, and there are eleven sub cycles between the base coefficients, 0 and 13. The latter interval might be the reason for the presence of the 3-11 pih Ajaw glyph on Stele F. This cycle incorporates multiples of the Dresden Codex Venus factor (9.9.16.0.0), XultĂșn C2 (2.7.9.0.0) and of 65 Bak'tun. Furthermore, together with the Calendar Round (18,980) the 13 Bak'tun count generates a lowest common multiple, or a grander cycle of the Calendar Round, equal to 12,337 Bak'tun. The formula (Q) deducted from this method is-y = 169x / 10. The arithmetic consists of the famous 13 Bak'tun count which in sets of 13 traces the shift of 5 days of the month Wayeb' in the Haab' while maintaining the same number and day sign in the Tzolk'in. In this article, the arithmetic is explained of how to calculate these dates from their base date in the current era, respectively 1 Ajaw 3 Sip (9.16.10.0.0) and 7 Ajaw 18 Pop (9.16.15.0.0) and how they can be placed in the Grand Long Count in the form of a replica date. The far distance past Calendar Rounds 1 Ajaw 13 Mol and 1 Ajaw 13 Yax'kin (QuiriguĂĄ Stele F), and 7 Ajaw 3 Pop (Stele D) have always been a great mystery. By this means, all Lunar Series from Dos Pilas receive reasonable explanations. In this paper, I am providing a method of detecting possible intercalations needed to fit the lunar motion and a possibility of the use of a 4784-day period, derived from the Xultun Lunar Table, as a lunar correction cycle. The Lunar Series consisted of six glyphs, referred to by letters, E, D, C, X, B, and A and represented the attempts to create the cyclical calendrical structure capable of predicting the synodic period of the Moon. By quantifying the multiples of synodic revolutions along a single scale of the Calendar Round combined with the Long Count, the Maya skywatchers created relationships easily represented and compared. This practice of commensuration-of converting distinct synodic cycles into a single calendrical cycle-was a common practice in the life of the Maya day-keepers. Astronomical observations of the ancient Maya consisted of a determination of various calendar cycles commensurating with the synodic cycles of the relevant celestial bodies.
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