The Mayan 260-day sacred year, structured on 13 and 20-day periods, aligns with solar and Venus calendars. Robert D. Peden emphasizes its accuracy in syncing with tropical years over cycles, suggesting a profound astronomical foundation for Mesoamerican calendars. This reveals ancestral knowledge of cosmic time systems integral to their culture.
diagram: the interaction of two types of week creating a sacred calendar of 260 days. text: from Sacred Number blog, Saturday, November 8, 2008
In 2008, William Sullivan sent me an explanation for why the Mayan time system used 260 days as a sacred or ritual year, counting 13 and 20 day periods (that divide into this), to characterize days of one’s birth.
Continue reading “Exploring the Astronomical Basis of the 260-Day Almanac”image: The Gothic cathedral of Cologne by night, by Robert Breuer CC-SA 3.0
On the matter of facades of Gothic cathedrals, I hark back to previous work (February 2018) on Cologne cathedral. This was published in a past website that was destroyed by its RAID backup system!
As we have seen with Chartres, some excellent lithographs with scales can often exist online from which one can interpret their sacred geometrical form and even the possible measures used to build that form. The Gothic norm for a facade seem more closely followed at Cologne facade which has two towers of (nearly) equal height.
We saw at Chartres that an underlying geometry using multiple squares may have been used to define a facade and bend it towards a suitable presentation of astronomical time, in a hidden world view that God’s heaven for the Earth is actually to be found in the sky as a pattern of time. This knowledge emerged with the megaliths and, in the medieval, it appeared again in monumental religious buildings built by masons who had inherited a passed-down but secret tradition.
I asked the chatbot a series of questions which homed in on a key problem with the chatbot. The problem was that the chatbot thinks that an 819-day period can equal the 260-day period of the Maya calendar period of 260 days.
The 819-day period is the length of a full cycle of the Tzolkin, which is a 260-day sacred and divinatory cycle in the Maya calendar system.
The Tzolkin is formed by the combination of two smaller cycles: a 13-day cycle and a 20-day cycle. Each day in the Tzolkin is represented by a unique pair of glyphs, resulting in a total of 260 possible combinations. The Tzolkin was used for divination, determining the best times for planting crops, making decisions, and performing rituals.
The interaction between the 819-day period and the 260-day Tzolkin is that every 819 days, the Tzolkin cycle completes a full cycle of 260 days, which means that the same combination of the 13-day and 20-day cycles repeats. In other words, every 819 days, the Maya believed that the energies and personalities associated with each of the 260 possible combinations of glyphs would repeat.
This repetition was seen as a symbol of the cyclical nature of time and the universe by the ancient Maya. The Tzolkin was also used to calculate longer periods of time, such as the Haab’ (365-day) calendar and the Calendar Round (a 52-year cycle), which were used for agricultural and religious purposes.
ChatCPT is an artificial intelligence (AI) system which is language based, so that it apparently does not apparently check any mathematical consistency, and this makes it possible for such an error impossible to humans who know that one number never equals another, by definition.
Continue reading “OpenAI: Problems for Research using ChatGPT”above: a 28 square grid with double, triple (top), and four-square rectangles (red),
plus (gray again) the triple rectangles within class B
1. Problems with Thom’s Stone Circle Geometries.
2. Egyptian Grids of Multiple Squares.
3. Generating Flattened Circles using a Grid of Squares.
This paper reviews the geometries proposed by Alexander Thom for a shape called a flattened circle, survivors of these being quite commonly found in the British Isles. Thom’s proposals appear to have been rejected through (a) disbelief that the Neolithic builders of megalithic monuments could have generated such sophistication using only ropes and stakes and (b) through assertions that real structures do not obey the geometry he overlaid upon his surveys.
Continue reading “Multiple Squares to form Flattened Circle Megaliths”Seventeen colossal carved heads are known, each made out of large basalt boulders. The heads shown here, from the city of San Lorenzo [1200-900 BCE], are a distinctive feature of the Olmec civilization of ancient Mesoamerica. In the absence of any evidence, they are thought to be portraits of individual Olmec rulers but here I propose the heads represented musical ratios connected to the ancient Dorian heptachord, natural to tuning by perfect fifths and fourths. In the small Olmec city of Chalcatzingo [900-500BCE] , Olmec knowledge of tuning theory is made clear in Monument 1, of La Reina the Queen (though called El Rey, the King, despite female attire), whose symbolism portrays musical harmony and its relationship to the geocentric planetary world *(see picture at end).
* These mysteries were visible using the ancient tuning theories of Ernest G. McClain, who believed the Maya had received many things from the ancient near east. Chapter Eight of Harmonic Origins of the World was devoted to harmonic culture of the Olmec, the parent culture of later Toltec, Maya, and Aztec civilizations of Mexico.
Continue reading “Music of the Olmec Heads”image: Ricardo David Sánchez for Wikipedia
This article is from June 2012 on my past Matrix of Creation site where it was read 548 times at the time of last backup. It led to another article and so I repeat it here.
The late Hugh Harleston Jr revealed the famous Mexican pyramids at Teotihuacan as being the manifestation of a very advanced megalithic culture, the Olmec as a root culture for New World Megalithism of Mexico and South America (that led to the Maya nearly a millennium later, the Aztec and the Inca) . The Teoti city-building culture started around 200 BCE but it is not exactly clear when the great city started to be built or what it represented. However, Carnac’s megalithic geometries, its day-inch counting within monuments and evident use of circumpolar astronomy suggests important new clues in the interpretation of this sacred city’s design.
Continue reading “A Mexican Triple Square at Teotihuacan”
