TIAHUANACO - GATEWAY OF THE SUN - BOLIVIA - WORKING SOLAR AND LUNAR CALENDAR - YEAR AND LONG-COUNT CYCLES - INCLUDING CORRECITONS

GATE OF THE SUN

I'll start with a quote from Wiki for those unfamiliar with the Gateway of the sun, located in Tiahuanaco, Boliva

Then, I'll give the detailed workings of my calendar system for the gateway of the sun

Which exactly counts:

The solar year
The North and South equinoxes
The 11 year solar cycle (or Schwabe cycle)
The 22 year magnetic solar cycle (or Hale cycle)
The 66 year solar half-cycle (yet unnamed half-cycle)
The 132 year full solar cycle (yet unnamed cycle. Possibly the Korn cycle?)
The 19 year lunar cycle (Metonic)
The 95 year lunar half-cycle
The 190 year lunar cycle (also, yet unnamed)
The 114 year lunar half-cycle
The 228 year lunar cycle (also, yet unnamed)
The 4,488 solar correction cycle (also, yet unnamed - 34 x 132 year cycles, with extra "leap" omitted from count for solar correction)

I'll also include some data for possible long-count cycles within the calendar related to the great-year, full procession of the astronomical ages

At the end, I'll include a detailed heuristic and phenomenological methodology, to explain my logic, reasoning and how I came up with my calendar

What works, and what parts I am still trying to resolve

Quote from wiki:

The Gate of the Sun, also known as the Gateway of the Sun (in older literature simply called "(great) monolithic Gateway of Ak-kapana"), is a monolithic gateway at the site of Tiahuanaco, built by the Tiwanaku culture, an Andean civilization of Bolivia that thrived around Lake Titicaca in the Andes of western South America around AD 500–950.

Tiwanaku is located near Lake Titicaca at about 12,549.2 ft (3,825.0 m) above sea level near La Paz, Bolivia. The Gate of the Sun is approximately 9.8 ft (3.0 m) tall and 13 ft (4.0 m) wide, and was carved from a single piece of stone. Its weight is estimated to be 10 tons. When rediscovered by European explorers in the mid-19th century, the megalith was lying horizontally and had a large crack through it. It presently stands in the location where it was found, although it is believed that this is not its original site, which remains uncertain. Antigüedades peruanas (1851) uses an engraving of the gateway as the frontispiece to its folio.

Some elements of Tiwanaku iconography spread throughout Peru and parts of Bolivia. Although there have been various modern interpretations of the inscriptions found on the object, the carvings that decorate the gate are believed to possess astronomical or astrological significance and may have served a calendrical purpose. In addition, scholars suggest that the design below the central figure is meant to represent celestial cycles. Being a later monument to the site in which it stands, the Gateway of the Sun could have also represented a transition from lunar religion to a solar religion based on its positioning to the sun to the West.

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MY SOLAR YEAR CALENDAR
6 DAY NORTHERN EQUINOX CROSSING
6 NORTHERN MONTHS OF 30 DAYS (24 + 6)
5 DAYS SOUTHERN EQUINOX CROSSING
6 SOUTHERN MONTHS OF 29 DAYS (24 + 5)
365 DAYS TOTAL
- LEAP YEAR COUNTER – EVERY 4 YEARS

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START YEAR AT THE NORTHERN CROSSING FOR THE EQUINOX

132 YEAR SOLAR CYCLE CALENDAR
6 x 11 YEAR CYCLES (LEFT-TO-RIGHT)
6 x 11 YEAR CYCLES (RIGHT-TO-LEFT)
132 YEARS TOTAL (Omit 1 leap day at end)
RESOLVES 365.24242424 DAY CALENDAR

NOTE:
While the 132-year "Korn Cycle" functions automatically, a microscopic solar drift of 0.0296 days accumulates with each cycle. To achieve near-flawless astronomical alignment over millennia, one additional normally scheduled leap day must be suppressed at the end of the 34th 132 cycle (Year 4,488). This leaves a residual error of just 0.0064 days — approximately 9 minutes 13 seconds — over nearly 45 centuries.”










190 YEAR LUNAR CALENDAR
5 x 19 YEAR METONIC CYCLE (LEFT-TO-RIGHT)
5 x 19 YEAR METONIC CYCLE (RIGHT-TO-LEFT)
190 YEARS TOTAL






228 YEAR LUNAR CALENDAR (SOLAR CORRECTION)
6 x 19 YEAR METONIC CYCLE (LEFT-TO-RIGHT)
6 x 19 YEAR METONIC CYCLE (RIGHT-TO-LEFT)

AT THE COMPLETION OF THE 228 YEAR CYCLE - A CORRECTION WOULD BE MADE TO THE 'LUNAR CALENDAR' RELATIVE TO THE SOLAR CALENDAR


The best way that I can think of to do this, against the solar calendar, would be to paint a particular "1st lunar day" on the calander, that would carry on, underneath the count of the pegs over the years

When you get to 228 years, you would simply advance the "lunar reference day" on the calendar by 1 day, painting the next "calendar day" to mark the next 228 year cycle

This is the best way that I can think of, to have the count visually aligned on one calendar, where it could be instantly read and understood, over incredibly long periods of time

HEURISTIC AND PHENOMENOLOGICAL METHODOLOGY

A few weeks ago, I started looking at the Bolivian “Gateway of the sun”

Nearly immediately, I recognised it to be some form of calendar, as many in the past have

What caught my attention first, were the 11 glyph across the bottom that appeared to be arranged as 6 suns coming down from the top, and 5 suns coming up from the bottom

It seemed to me, that the uneven “up and down” 6/11 and 5/11 count could somehow be related to the uneven processes of equinoxes and solstices. A theory supported by the large deity holding two staffs/snakes, which seemed as though they could be a physical representation of the solstices, with the deity standing in the middle, as the equator and equinoxes

Within the Eleusinian mysteries I was explicitly taught the Greek equivalent to the equinoxes and solstices, which is the Goddess “Hecate”. A name which they teach us very literally means “Equator”

In the common depiction of Hecate holding two torches, one at each side, these torches represent the Northern and Southern Solstices. Which Hecate holds at either side, as the equator (see image below)

The deity on the Bolivian gateway of the sun, appears to be a near identical symbolic representation of the solstices either side of the equator and the crossing of the equinoxes

If this was the case, then I theorised that the intention of the archway of the gate, would be to track the sun as it moved north-to-south and back, across the sky throughout the year

My theory was, that if you stood about 0.92 of a meter (calculated by the ancho de la luz (clear aperture) figure found online of 0.84m) and looked through the gate, you would see the Northern and Southern solstices align just within the opening of the gateway

But what was the significance of the 6 upper and 5 lower to the equinoxes?

And what was the significance of the two sets of 3 glyph on either side of this line on 11 glyph on the bottom?

At first, I thought these could be months. But I'll come back to this later

Here, I should say, that I initially expected the gateway to be orientated so that anyone standing in front of it, looking through the opening of the gateway, would be facing East. As it made sense to me that the gate would be facing the rising sun

I was a little confused at first, when I found out that the gateway actually faces West. So that you would see the setting sun

This does not seem right to me

Within my research, I discovered that the location and positioning of the gateway today, is not where it was originally found. Which is a shame

It seems however, from all that I could find in my research, that the gateway was originally facing West. Which is why they faced it West, when they stood it back up

This still does not seem right to me, as I feel this gateway should be facing East, not only for the rising sun, but also for the rising of Altair at night (thanks Colin)

However, it does not really matter, as mathematically, the calendar functions of the gate should still works exactly the same, even if it is facing West

So the most obvious part of this calendar (or any calendar for that matter) has to be the day count

On the sungate, this could only be the 2 sections of 24 figures (called “attendants”) on each side of the gateway

24 facing North
24 facing South

What was immediately interesting to me, examining these as days, is that there appeared to be a division within the 24 on both sides, which lined up with the two divisions of 3 glyph on the left (South) and right (North) side of the gate. Dividing a neat 3 x 3 block of 9, within the design of the group of 24 on either side of the gateway (marked in orange, inside the 24 red days, in all the diagrams)

The fact that these 3 lined up with a section of their relative 24 count above, is what originally lead me to believe that the 3 on either side of the bottom could represent month counters

But why only 3 on each side and not 6?

The answer to which, seemed to be directional. Like most things on this gate

The important part of me establishing a working calendar for this gate, was understanding that nearly everything on this gate was perfectly balanced around a point of centre, represented by the deity

If you could stand in front of the opening of the gateway and physically see the sun moving South for half the year, and North the other half of the year, then it made sense that every counting mechanism within the design of the gateway would follow this same structure of movement

So …

The 24 glyph facing North, would be for counting days moving North

The 24 glyph facing South, would be for counting days moving South

But how to count the days of the year, when there was no neat division of 365 for 24 (or 48)?

Ignoring the deity in the middle for now, we have:

* Two groups of 24 (48 total)
** 24 Facing North
** 24 Facing South
*11 Glyph along the bottom
** 6 coming from the top downwards
** 5 coming from the bottom upwards
*Two sets of 3 glyph either side of the 11 glyph
** 2 (4) coming from the top downwards
** 1 (2) coming from the bottom upwards

I start with 12 month, because this seemed like the most logical division for months to test first

So I assumed that the sets of 3 either side down the bottom were month counters, that were supposed to be counted as 6, either side, following the suns movement

If the sun was moving North from equinox, you would start with the right (North set of 3 glyph)

You would count the inside (left) of the 3 of the right set first. Then move to the the middle of the same set of 3, the move to the outside of the 3, following the sun as it moved North into solstice

Then, as the sun started moving back from solstice, you would count the same 3 glyph, but this time back in the other direction, moving back towards the middle of the gateway, mimicking the movement of the sun also heading back

This would effectively turn the 3 glyph each side into 6 (count 3 out, then count the same 3 back in)

And it made sense, because this is exactly what the sun was doing, as it moved through the solstice. It would move out, then it would move back in

So now I had 12 months, that seemed logical

But how to count the days?

It seemed to have something to do with the uneven symmetry of the 11 glyph, between the two sets of 3 I was counting as 12 months

So lets try

24 days plus 6 – 30 days
24 days plus 5 – 29 days

For the North, we would count the 6 suns coming from above. Because this seems logical for the North

For the South, we would count the 5 suns coming from below. Because this seems logical for the South

6 months of 30 days = 180
6 Months of 29 days = 174

180 days and 174 days = 354

Exactly 11 days short of a calendar year. Interesting

Especially when there just so happens to be 11 glyph in the middle

These 11 tell us, very specifically, that they are both “in the middle” and “6 North” and “5 South”

So, what if it is telling us, that for the “middle” equinoxes, we need to add 6 days going North, and 5 days going south

North - 6 months of 30 days, plus 6 days crossing the North equinox = 186 days

South - 6 months of 29 days, plus 5 days crossing the South equinox = 179 days

186 days and 179 days = 365 days

These are very specific and well established numbers in accepted astronomy, that are hard to ignore

March equinox → September equinox:

186.4 days

September equinox → next March equinox:

178.8 days
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365.2 days

So I knew this was definitely a calendar, and that it counted not only the year, but also the exact uneven legnths of the two equinox halves

But how to count it on the gateway itself?

Logic would have it, that there would need be two methods for exactly marking counts on this calendar

Short count
Long count

Short count, would need to be something easily applied and moved. It could not be anything that took time to apply, or was hard to move/remove

Long count, would need something that lasts, and could not be easily moved/removed, or altered. Such as paint, which would be perfect for marking long count, and easy to reapply or change from year to year

The most logical solution for the short count for me, would be a peg system

This is how I would do it, if I were designing a gateway calendar

I would have some type of peg (possibly painted similar to an eye-ball, to fit with the peg-hole it is going into) that would be inserted into the eye of one of the 24 glyph, on either side of the calendar to signify the specific day

But I immediately saw a problem with what I thought to be the month count

Months would qualify as short count

But the two sets of 3 glyph either side of the bottom, did not have a large peg hole in them, like all of the 48 day glyph above …

There was, however, 6 peg holes (marked in purple on the diagrams) across the bottom of the gate that could clearly be seen, that were almost identical in size to the eye-holes on the 48 glyph

Two pairs between the 3 and 11 glyph on either side of the bottom

And and extra pair up in the middle, below the central deity. All very similar, and all exactly big enough to be peg marker holes

Looking at these pegs holes, it quickly became clear to me that this would actually be a much cleaner way of counting the months. Because unlike the two sets of 3 on the bottom, these three sets of 2 glyph actually moved across the calendar, more like the suns movement

So for the first month of the year, if you were moving North from the middle, you would peg the North of the two middle pegs. Then next month, move to the left of the right (North) pair of pegs. Then to the right of that same pair (North-most) as you reached the equinox

Then you would count that same peg, as you start moving South. All the way across to the other side of the calendar

I noticed here, that this works beautifully with my theory that you count:

North-moving months, with the North-facing glyph
South-moving months, with the South-facing glyph

What this means for the three sets of 2 pegs (6 total) making up the months …

Is that even though you are counting the outside pegs twice, for two consecutive months, you would not get confused

Because when you move to the North-most month selector peg, you would be counting the upper left set of 24 day glyph, which are facing North. The direction the sun is moving

At the end of this month is the solstice, meaning the sun now begins to move south

So even though you are counting the North-most month selector peg for a second month in a row, you are now counting the upper right set of 24 glyph which face South. Because the sun has now began to move South

So there is no confusion

You can look at exactly which of the 6 month selector pegs are selected, and which day is selected, and know not only exactly what day of the year it is. But also which direction the calendar is moving

No one day on the calendar, could be confused with any other day

The direction is built in, so there can be no mistaking, or counting the next day in the wrong direction

So we have the most logical method for counting both the months and days. Which exactly follows the passage and direction of the sun from North to South throughout the year

But how do we count the extra days for each month?

5 extra days for each Southern month
6 extra days for each Northern month

If it were my calendar, and I was designing the count?

I would use the square set of 9 days (3 x 3) built into each sides set of 24 glyph, that seem to exactly align with the 3 counts on either side of the 11 at the bottom, that I originally believed were months

I believe this is why the calender was designed to align in such a way

The extra 5 or 6 days need to be counted within these sections, because they would still need to be part of the peg system. And this is the only section which makes sense, if you need to retain the month marker relative to the days of the month being counted (the month the extra days to be added to)

So how would I do it?

For 6 days? The most logical way I can think of to count, which would be unique to each month (to avoid confusion) would be to put 3 pegs in one row of the 3 x 3 section, relating to the month being counted ...

Then count the remaining 6 days, in the same direction and flow that you counted the 24 days for that month

For 5 days? The most logical way I can think of to count, which would be unique to each month (again, to avoid confusion) would be to put 3 pegs in one row of the 3x3 section, relating to the month being counted …

Then count the remaining 5 days, in the row horizontal to those 3 pegs

This means that every month, the counts of 5 or 6 would be uniformed, but also unique

You could not mistake any day within their count, for any other day on the calendar. As just like the rest of the days counted in that month, the direction the glyph face would tell you exactly which way the sun, and the calendar, were moving. And the month peg and row of 3 pegged, would tell you exactly which month of 5 or 6 were being counted

So what about the extra counts of 5 days and 6 days (11 extra days) which are not tied to any month? The days which logically, seem to represent the “crossing” of the equinox in each direction, between each 6 month traversal of the solstices?

My idea for this is fairly simple

Because there is no months attached to these extra 5 and 6, use the three pairs of month selectors

For the 6 days. Peg all 6 holes

Then countdown, removing 1 peg per day, from left to right, as sun crosses the middle and moves into the Northern hemisphere

I would suggest that counting these days, would use a different, specific type of peg, which is different to the pegs used to mark the normal days, or months

But you wouldn't even really need this. As it should be clear to any reading the calendar, exactly what these days are, if there are no days pegged in the upper sets of 24 glyph

Likewise, when you come to the South set of 5 days, you would also use this same method, except, you would only peg 5 holes from the left, leaving the right-most peg hole empty

For the 5 days, peg 5 holes, leaving the far right peg empty

The beauty of this empty peg, is that there is no possible way, that this day can be confused for any day going in the opposite direction

If there is 6 pegs, in 6 holes. You know that you are moving North, and need to take the left-most peg out the next day

If there is a peg missing on the right, you know that this is the 5 count, moving south

Likewise, this solves the “Leap year” count

Every leap year, you would add a day, with no pegs in the calendar whatsoever

The leap-year day, would be the only day where you would ever see no pegs in the calendar. No day pegs. No month pegs

Ideally, I believe this would be the first day of the year

There are two option I can see here, which both make logical sense to me

1) You would add the leap year day, to the start of the 6 day count. No pegs. Then 6 pegs in the month selectors. This would make the leap year day, both the last day of the old year, and the first day of the new year

2) You would add the leap year day, to the end of the 6 day count. At the start of the year. Only because it would mean that you would count down to 1, followed by no pegs in the calendar at all

Both work. But my preference for neatness would be 1

So now we have the 365 days of the year

NEW YEAR:
(1 leap year day where applicable)
1 set of 6 days, crossing equinox to North
3 North sets of 24+6 days, heading North (left counter)
3 North sets of 24+6 days, heading South (right counter)
1 set of 5 days, crossing equinox to South
3 South sets of 24+5 days, heading South (right counter)
3 South sets of 24+5 days, heading North (left counter)

186 North equinox days
179 South equinox days
365 days total

But what about the solar cycles? Solar maximum and minimum, and long-count correction of calendar drift?

This is where it seems the two sets of 3 glyph on the bottom actually come into play. Along with the 11 lower middle glyph, which did not end up being used at all in the final version of the yearly calendar, beyond a reference as to how it is read

11 years (the Schwabe cycle) is a very particular number when it comes to solar cycles
22 years (the Hale cycle) is an even better number

So 6 sets of 11, relative to these cycles, for a total of 66 years, would make a lot of sense

But if every other counter on this calendar is designed directionally, in the sense that it moves backwards and forwards, back to where it started (to continue on with, and start the next cycle), then it made sense that this bottom section would be a long-count solar calendar. 12 cycles of 11 years each (3 + 3 across, 3 + 3 back)

For a total of 132 years

But why would they specifically use a solar count of 12 cycles of 11 years?

Because something very interesting happens to the solar alignment after 132 years

Over 132 years, the solar calendar counts 33 leap years. Which would accumulate a total of 33 extra days

But if omit the 33^rd leap year day, and only count 32, it aligns the solar calendar. Incredibly precisely

(Supreme Council of 33? Where only 32 are conventionally used or counted? Anyone?)

32 leap days every 132 years:

365 + (32 / 132)
= 365.2424242424 days

Difference from 365.2422:
= +0.0002242424 days per year

Over 132 years:
= +0.0296 days
= +42 minutes 37.44 seconds

32/132 gateway calendar:
Average = 365.24242424 days → error = 0.00022424 day/year
Gregorian:
Average = 365.2425 days → error = 0.00030000 day/year
Julian:
Average = 365.25 days → error = 0.00780000 day/year

Error:
Gregorian

0.000224240.00030000​=1.34​

The gateway calendar is about 1.34× as accurate

Julian

0.000224240.0078​=34.8​

The gateway calendar is about 35× as accurate

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I am currently expanding this into exact counts of the “great year” astronomical procession of the ages

I have not yet resolved everything 100% correctly

But I will include the basics of this, at the end, to show what I am still currently working on

Now we have a working calendar, including:

365.24242424.. day solar cycle
186/179 day equinox cycles
132 year solar cycle - With solar cycle correction

But we still need the leap year counter

This one was fairly simple, once I worked out why it would be where it is, and why it was drawn differently to the other cycle counts. The belt

A belt is a tool for adjustment. Just like the leap year

Count the 3 year bands across one way, then paint the leap year head on one end. Then count the 3 year bands back across the other way, then paint the opposite head

A simple, by very effective leap year counter

Unlike the other cycle counters on the calendar, this one needed to have two distinct “head” counter on each end, which could only be counted and coloured in one direction

This is because the three years of before the leap years, are not being coloured or counted against any other cycle

If you simply had 4 sections to be coloured back and forth, it would become possible to confuse which direction you are counting, and which year is next to be painted

If all 4 were coloured, you could forget which end you are to begin counting from for the next cycle

If for example, 1 was orange, and 3 were red. Would it mean you paint the 1 red next, so all 4 are red next year? Or would you paint 1 of the red orange? So you have 2 and 2?

It would introduce ambiguity into the calendar, which is very specifically designed to be unambiguous

A coloured head on either end, means that the cycle of leap years for that colour is completed. So as long as more than 2 colour paints are used, there should never be any confusion as to what year you are in, and what direction the leap year count is moving

So we have a leap year counter, tied directly to the 12 x 11 year solar cycle count down the bottom of the calendar

Every leap year, you would add and extra “empty peg” calendar day

Except when you get to the conclusion of the 132 year cycle, where you would omit the 33rd extra leap year day

When you have completed a full cycle of:

6 x 11 years left-to-right
6 x 11 years right-to-left

You would skip the leap day (which would usually be the 33^rd leap year, on the extact day after the 132 year cycle concludes)

This makes the solar count of the calendar incredibly precise for an ancient mechanical arithmetic calendar

So now we have the solar cycles calculated. What about the lunar cycles?

Looking to the central deity now, I immediately recognised the headdress was surrounded by 19 ornate sections

12 normal ornate sections
7 ornate head sections

I immediately started looking at the possibility that these related to the Metonic cycle

12 regular years of 12 lunar cycles
7 leap years with 13 lunar cycles

I believe this is what was intended by the grouping 19, containing 12 and 7

But I am yet to work out how exactly, this would be counted on the gate against the solar cycles

It seems to me that they are aware of this arrangement of lunar cycles. But I do not think that it is specifically counted on this gateway. Other than to have the 19 ornate sections of the headdress acknowledge the division of 12 and 7, relative to 12 lunar years of 12 cycles, and 7 lunar years of 13 cycles

It seems that it is simply acknowledged within the design of the overall 19 year Metonic cycle, illustrated by the 19 sections of the headdress

What seemed more important to me, as that there seemed to be two cycle counts relative to these 19 sections depicted on the deity

5 cycles of 19 (under the chin of the deity)
6 cycles of 19 (below the leap year count on the belt)

The proposed 5 cycle of 19 years, for a 95-year interpretation is not numerically unprecedented. The Vedic Indian calendrical tradition associated with Yājñavalkya and the Śatapatha Brāhmaṇa, particularly the Agnicayana fire-altar system, preserves a 95-year lunisolar reconciliation cycle. The 95-year period can be understood as five 19-year periods, with approximately 7 intercalary lunar months required per 19 years, giving thirty-five intercalations across the complete 95-year cycle

And again, on the 19 headdress years, we find 7 uniquely ornate, compared to the other 12 positions

I feel I need to look deeper into this later, in order to resolve exactly why those 7 would appear, exactly where they do within the sequence of 19 sections of the headdress

I would guess that there is a very specific reason they are dividing in the manner that they are

Although the cycle of 19, with division of 12 and 7 is clearly defined across these traditions, as well as the modern understanding of lunar cycles (such as Metonic), the ordering of the 12 and 7 on this calendar does not appear to follow the logical sequence for adding months as they are calculated within the Metonic cycle

At least not in a way that I am currently able to resolve

But the pattern is there

Related Indian calendrical traditions represented by the Vedāṅga Jyotiṣa also employ a five-year yuga as a fundamental lunisolar counting unit, making the recurrence of both 5 and 19 within ancient Indian calendrical computation particularly noteworthy

I will look into this again at a later time, to see if I can revise and improve the resolution of the gateways design, to know lunar cycles

Or perhaps this opens the door for someone else to better resolve this particular aspect of the design and count of the gateway

For now, I will settle for establishing possible interpretations of the 19 count, relating to cycles of 5 and 6

Both would be counted simultaneously

Starting from the left of the headdress, you would count up and from year 1, ending on year 19. For a full Metonic lunar cycle

Painting 1 section per year, a particular colour. Related to the colour of the active cycle painted in the 5 and 6 cycle sections below

(Note: I realised after I made the detailed graphs for these particular cycles and their colours, that I should have used the same sequence of unique colours carrying across both of the diagrams. That would save you from needing to paint two separate colours in the 19 year count at the top. It would not matter what colours were used, as long as they were consistently unique to the prior cycles, and followed the exact direction and hierarchy of their relative cycles. Both cycle counters change at the end of a 19 year count, so as long as the same colour was picked that did not conflict with colouring from the previous cycles, it would work perfectly using the same colour on both cycle counters)

For the 5 and 6 count cycles below the chin and near the belt, you would also start on the left, painting the first ornate counter

At the end of the first sequence of 19 years, you would move the cycle counters one across, painted the new colour, and start the 19 year cycle again. This time counting the 19 years from the opposite site, back across to where you started the cycle previously

In the same way, with the cycle counts. When you came to the end the cycle counters (5 or 6) you would paint the last again, in the new colour, and start counting back the other way

Ideally, you would use some type of developed colour hierarchy, similar to the “red, orange, yellow, green, blue, indigo, violet” that we use today

This would make it very easy to tell just be looking at the calendar and the colouring of the cycles (and previous cycles) exactly where you are in the count, and which way the calendar, the headdresss, and the specific cycles are all currently being counted

I am also looking into the possibility that the 5 and 6 “cycles” within these counts, could actually relate to some type of counting system for the lunar cycles and years, similar to how the 5 and 6 are using to great effect in the uneven symmetry of the solar calendar

I have been running some numbers on this, but so far nothing has popped

It seems logical, and even possible, that there is a system I'm overlooking, very similar to the system I have established for counting the days of the solar year

Again, this is something that I need to develop. Or possibly someone else can resolve from what I've established

The reason I believe that the 5 and 6 counts could possibly be relevant to some type of mechanical arithmetic system similar to the solar year structure, is it also seems like their could possibly be a similar system, linking the 132 year cycle ("Korn cycle", or “Supreme Council” cycle) to the full procession of the ages referred to as “the great-year”

I am currently working on this, so I will say that this is just a theory

But there are some very interesting numbers, that seem to make this work

I just need to work out if there are any significant patterns in these numbers

I'm working on it ...

What I am currently look at is is basically:

We take the 132 year cycle ...

We divide this into two halves, similar to the Northern and Southern equinoxes of the solar year calendar

Using the balance of 5 vs 6, we add these to 11, to get our cycle lengths

So
132 years x 16 (11 + 5) = 2112 years
132 years x 17 (11 + 6) = 2244 years

Times the total by 6 for 12 “Constellation” divisions” (or 13, for alignment with Ophiuchus)
26,136 years

The interesting part of this is, if we subtract the length NASA gives us for the great year (25,771)

We get 365 years, as the difference

A very literal “Great year”

Except it is 365 days that needs to be removed from the calculated count

This is the part I am still looking into, to see if these figures can be resolved correctly. Or even be programmed into another way in which the gateway can be counted and/or painted

Current data (still being worked on) is this:

Great Year calculation

Start with the 132-year solar cycle.

The two proposed Age types are:

Short Age:

(11+5)×132=16×132=2,112 years​

Long Age:

(11+6)×132=17×132=2,244 years​

There are six of each, forming the two halves.

First half

Apply the 29-year equivalent to each of the six short Ages:

2,112−29=2,083​

Six of them:

6×2,083=12,498

Then subtract the 5-year crossing:

12,498−5=12,493 years​

So:

6[(11+5)×132−29]−5=12,493​

Second half

Apply the 30-year equivalent to each of the six long Ages:

2,244−30=2,214​

Six:

6×2,214=13,284

Then subtract the 6-year crossing:

13,284−6=13,278 years​

So:

6[(11+6)×132−30]−6=13,278​

Complete Great Year

Now combine the two halves:

12,493+13,278=25,771 years​

Or as one equation:

6[(11+5)×132−29]−5+6[(11+6)×132−30]−6=25,771​


Predicted Great-Year division:

12,493 / 13,278 years

= approximately

174.52° / 185.48°

The closest actual constellation-boundary division is:

176.10° / 183.90°

running between:

90.140° → 266.238°

Those points are:

• 90.140° — extremely close to the Galactic/ecliptic crossing at ~90°: difference only 0.14°

• 266.238° — the Ophiuchus/Sagittarius boundary, close to the opposite Galactic/ecliptic crossing at ~270°

And the actual 176.10° division was only:

1.58° away from your independently calculated 174.52° division.

Model boundary	Predicted longitude	Nearest actual constellation boundary	Difference
Start	91.72°	Taurus/Gemini — 90.14°	1.58°
Age 1	120.82°	Gemini/Cancer — 117.99°	2.83°
Age 2	149.92°	Cancer/Leo — 138.04°	11.88°
Age 3	179.01°	Leo/Virgo — 173.85°	5.16°
Age 4	208.11°	Virgo/Libra — 217.81°	9.70°
Age 5	237.21°	Libra/Scorpius — 241.05°	3.84°
Half transition / anchor	266.24°	Ophiuchus/Sagittarius — 266.24°	0° — ANCHOR
Age 7	297.31°	Sagittarius/Capricornus — 299.66°	2.35°
Age 8	328.23°	Capricornus/Aquarius — 327.49°	0.75°
Age 9	359.16°	Aquarius/Pisces — 351.65°	7.51°
Age 10	30.09°	Pisces/Aries — 28.69°	1.40°
Age 11	61.02°	Aries/Taurus — 53.42°	7.60°
Return	91.94°	Taurus/Gemini — 90.14°	1.80°

The model intervals used were:

First six Ages: 2,083 years ≈ 29.10° each
Crossing: 5 years
Second six Ages: 2,214 years ≈ 30.93° each
Crossing: 6 years

And the fixed astronomical anchor was:

Ophiuchus/Sagittarius boundary=266.238∘​

I'm providing these, in the chance that anyone reading and following this, may see something I am overlooking, using these base counts

Maths was never my strong suit. I'm doing my best

Decoding symbol sets, and puzzles like this however, is exactly my specialty

I'll update later, if/when I find anything worth updating about

For now, at least, I have a functional solar calendar model for this gateway

Something it appears that I am the first to do (with the obvious exception of those who designed the calendar originally)

It also appears, I have established what appears to be a very significant 132 year solar count cycle

Please be aware, that I've only been working on this for less than 2 weeks. A few hours a day here and there

So you need to forgive me if there are any errors in the presentation, or if I've overlooked anything obvious, or worse, messed something up

I've spent about as much time as I can afford to expend on this at the moment

I hope someone finds something in what I have worked out useful, or at the very least those who read this have found it interesting

SK

EDIT - 22nd August 2026

I had someone fairly expressing doubt that the numbers and layout of the gateway would necessarily constitute a calender

So I have made a small update 

I thought the numbers and grouping of counts would be fairly self-explanatory. But I should have explained why the very particular number of the sets of glyph is so significant to a calender

In a way that that makes it highly probable this is a calender, because of the fundamental nature of those specific numbers

----

If you were building a calender logically by observation of the sun

You would observe the following: 

1) The Solar Year

A solar year measures to roughly 365.25 days

Because over 4 years, there seems to be 1 extra day which needs to be added for correction

This is not an imagined or arbitrary figure. It is the observable length, from relatively simple observation of the solar cycle

2) The uneven halves of the year (the equinoxes) 

You could observe that the Northern and Southern halves of the year are uneven

Their observable legenth are roughly

186 days for the North

179 days for the South

Again, these are not imagined or arbitrary figures. These are the the observable and measurable lengths

The 1 day correction over 4 years is important. But only as a correction. It cannot be evenly distributed into an observable solar year cycle, as a whole increment, in any number less than 4 cycles

Which means, it cannot be factored into a logical "balanced" calender based on whole precise units (day / year) except as a correction

So we have 3 real numbers here: 

365 days

186 day North half

179 day South half

For the logical base count of the calender cycle needs to be balanced and symmetrical to whole units (365 days) ...

Which also factors in the imbalance of the both the odd count, and the halves within the cycle (186 days and 179 days) ...

There are exactly four positive-integer solutions:

24 days, with 5/6 (11) gives the largest possible common base, with the smallest possible uniform correction of the odd count across the base

There is Mathematically no better way, that I can find to count a balanced division of 186 and 179 whole days, within 365 days

This makes it very unlikely that symmetrical units of 24, and an odd count of 11 divided into 6 and 5, would appear on this gateway, it it were not a calender

It's too precise

Add the precise 132 year count, across and back (to start the next count cycle) within the odd correction band, being exactly how how many years needed for a long-count solar correction? (skip a leap year)

Given the exact numbers of glyph and their layout, Ithink it would be fair to say it is a calender

Especially considering it is literally called "gate of the sun" and the setting of the sun and solstices can be physically viewed through the gateway

If it's not a calender. It just so happens to work precisely as one, with exact precise optimal units, and be named after the precise instrument for measuring a calender (the sun)

I'm going to look into the other comparable Andean calendars soon

I'll update this thread, if I find anything that can be resolved more accurately

SK

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