Mayan Math
Dividing both the Tzolkin [260/20] and Tun [360/20] we get the common cycle for both 13 x 18 = 234 days.
• Three [3] day-counts of 13, 18, 20 synchronize interlocking 234, 260, 360 day cycles.
• The Tzolkin = 26 days x 10 = 260 day calendar.
• The Tun = 36 x 10 = 360 day calendar.
10 x 26 = 260 = 1 Tzolkin = 10 Solar Rotations [each 26 Earth days]
20 x 18 = 360 = 1 Tun = 1 Earth Solar Orbit [= 360 degrees]
13 x 18 = 234 = Tun & Tzolkin synchronization
117 x 2 = 234 = Mercury Orbit
Earth Orbit = 18 x 20 = 360 days = 1 Tun
Sun Rotation = 26 x 10 = 260 days = 1 Tzolkin
260 days x 18 Tzolkin = 4,680 days
360 days x 13 Tun = 4,680 days
It takes 26 x 10 x 18 = 4,680 days or 13 Tun [360 day] years for the Sun [26 day rotation] to align with the Earth [360 day orbital] year.
Sun and Moon | 7 days per week
28 x 13 = 364 [moon orbit]
14 x 26 = 364 [sun rotation]
52 x 7 = 364 [7 ÷ evenly into 364]
52 x 5 = 260 [5 day "work week"]
52 x 2 = 104 [2 day "weekend"]
364 Sun/Moon Cycles
= 10,192 days / 28 day Moon orbit = 9,464 days/ 26 day Sun Rotation
= 28 day Moon/Earth Orbit [10,192 days ÷ 28]
= 26 day Sun Rotation [9,464 days ÷ 26]
Fractal Invert/Recursion
[10192 / 28 / 360] = 91 / 90
[9464 / 26 / 360] = 91 / 90
Dividing both by 20
Tzolkin [260 / 20] = 13
Tun [360 / 20] = 18
[13 x 18] = 234 days
Tun [360]: [[18 x 20] x [20^[n=0...7]] x 13]
Tzolkin [260]: [[13 x 20] x [20^[n=0...7]] x 18]
1. Start dates for each new level are far apart;
2. Previous levels continue as each new level is added;
3. All 9 levels coterminous.
Level 1:
1. 260 ÷ 20 = 13 x 18 = 234 days
2. 360 ÷ 20 = 18 x 13 = 234 days
Level 2:
1. 260 x 18 = 4,680 days
2. 360 x 13 = 4,680 days
3. 234 x 20 = 4,680 days
Level 3:
1. 260 x 20 x 18 = 93,600 days
2. 360 x 20 x 13 = 93,600 days
3. 234 x 20 x 20 = 93,600 days
Level 4:
1. 260 x [20^2] x 18 = 1,872,000 days
2. 360 x [20^2] x 13 = 1,872,000 days
3. 234 x [20^2] x 20 = 1,872,000 days
Level 5:
1. 260 x [20^3] x 18 = 37,440,000 days
2. 360 x [20^3] x 13 = 37,440,000 days
3. 234 x [20^3] x 20 = 37,440,000 days
Level 6:
1. 260 x [20^4] x 18 = 748,800,000 days
2. 360 x [20^4] x 13 = 748,800,000 days
3. 234 x [20^4] x 20 = 748,800,000 days
Level 7:
1. 260 x [20^5] x 18 = 14,976,000,000 days
2. 360 x [20^5] x 13 = 14,976,000,000 days
3. 234 x [20^5] x 20 = 14,976,000,000 days
Level 8:
1. 260 x [20^6] x 18 = 299,520,000,000 days
2. 360 x [20^6] x 13 = 299,520,000,000 days
3. 234 x [20^6] x 20 = 299,520,000,000 days
Level 9:
1. 260 x [20^7] x 18 = 5,990,400,000,000 days
2. 360 x [20^7] x 13 = 5,990,400,000,000 days
3. 234 x [20^7] x 20 = 5,990,400,000,000 days
Cellular Days = Tun & Tzolkin Years:
1. 5,990,400,000,000 ÷ 260 = 23,040,000,000 [of 260 Day] Cycles
2. 5,990,400,000,000 ÷ 360 = 16,640,000,000 [of 360 Day] Cycles
3. 5,990,400,000,000 ÷ 234 = 25,600,000,000 [of 234 Day] Cycles
234 Relevant Factors:
234 x 1 = 234;
117 x 2 = 234;
78 x 3 = 234;
39 x 6 = 234;
26 x 9 = 234;
13 x 18 = 234;
18 x 13 = 234;
260 Relevant Factors:
260 x 1 = 260;
130 x 2 = 260;
65 x 4 = 260
52 x 5 = 260
26 x 10 =260
13 x 20 = 260;
20 x 13 = 260;
360 Relevant Factors:
360 x 1 = 360;
180 x 2 = 360;
120 x 3 = 360;
90 x 4 = 360;
72 x 5 = 360
60 x 6 = 360;
45 x 8 = 360
40 x 9 = 360;
36 x 10 = 360;
30 x 12 = 360;
20 x 18 = 360;
18 x 20 = 360;
Notes on [234 - 260 - 360]:
• None ÷ by 7;
• All ÷ by 2;
• Only 260 & 360 both ÷ by 4, 5;
• Only 360 ÷ by 8;
• 260 does not ÷ by 3, 6, or 9;
• Of the numbers [13-18-20] none divide evenly into the others;
• There are no common denominators.
Level 1:
1. 260 / 20 = 13 x 18 = 234 days
2. 360 / 20 = 18 x 13 = 234 days
Level 2:
1. 260 x 18 = 4,680 days
2. 360 x 13 = 4,680 days
3. 234 x 20 = 4,680 days
Level 3:
1. 260 x 20 x 18 = 93,600 days
2. 360 x 20 x 13 = 93,600 days
3. 234 x 20 x 20 = 93,600 days
Level 4:
1. 260 x 20 x 20 x 18 = 1,872,000 days
2. 360 x 20 x 20 x 13 = 1,872,000 days
3. 234 x 20 x 20 x 20 = 1,872,000 days
Level 5:
1. 260 x 20 x 20 x 20 x 18 = 37,440,000 days
2. 360 x 20 x 20 x 20 x 13 = 37,440,000 days
3. 234 x 20 x 20 x 20 x 20 = 37,440,000 days
Level 6:
1. 260 x 20 x 20 x 20 x 20 x 18 = 748,800,000 days
2. 360 x 20 x 20 x 20 x 20 x 13 = 748,800,000 days
3. 234 x 20 x 20 x 20 x 20 x 20 = 748,800,000 days
Level 7:
1. 260 x 20 x 20 x 20 x 20 x 20 x 18 = 14,976,000,000 days
2. 360 x 20 x 20 x 20 x 20 x 20 x 13 = 14,976,000,000 days
3. 234 x 20 x 20 x 20 x 20 x 20 x 20 = 14,976,000,000 days
Level 8:
1. 260 x 20 x 20 x 20 x 20 x 20 x 20 x 18 = 299,520,000,000 days
2. 360 x 20 x 20 x 20 x 20 x 20 x 20 x 13 = 299,520,000,000 days
3. 234 x 20 x 20 x 20 x 20 x 20 x 20 x 20 = 299,520,000,000 days
Level 9:
1. 260 x 20 x 20 x 20 x 20 x 20 x 20 x 20 x 18 = 5,990,400,000,000
2. 360 x 20 x 20 x 20 x 20 x 20 x 20 x 20 x 13 = 5,990,400,000,000
3. 234 x 20 x 20 x 20 x 20 x 20 x 20 x 20 x 20 = 5,990,400,000,000
Each Level forms a perfect 3-sided pyramid:
1. 20
2. 234
3. 4,680
4. 93,600
5. 1,872,000
6. 37,440,000
7. 748,800,000
8. 14,976,000,000
1. 13
2. 260
3. 5,200
4. 104,000
5. 2,080,000
6. 41,600,000
7. 832,000,000
8. 16,640,000,000
1. 18
2. 360
3. 7,200
4. 144,000
5. 2,880,00
6. 57,600,000
7. 1,152,000,000
8. 23,040,000,000
Each Level forms a perfect 3-sided pyramid:
1. 20 x 234 = 4,680
2. 234 x 400 = 93,600
3. 4,680 x 400 = 1,872,000
4. 93,600 x 400 = 37,440,000
5. 1,872,000 x 400 = 748,800,000
6. 37,440,000 x 400 = 14,976,000,000
7. 748,800,000 x 400 = 299,520,000,000
8. 14,976,000,000 x 400 = 5,990,400,000,000
1. 13 x 360 = 4,680
2. 260 x 360 = 93,600
3. 5,200 x 360 = 1,872,000
4. 104,000 x 360 = 37,440,000
5. 2,080,000 x 360 = 748,800,000
6. 41,600,000 x 360 = 14,976,000,000
7. 832,000,000 x 360 = 299,520,000,000
8. 16,640,000,000 x 360 = 5,990,400,000,000
1. 18 x 260 = 4,680
2. 360 x 260 = 93,600
3. 7,200 x 260 = 1,872,000
4. 144,000 x 260 = 37,440,000
5. 2,880,000 x 260 = 748,800,000
6. 57,600,000 x 260 = 14,976,000,000
7. 1,152,000,000 x 260 = 299,520,000,000
8. 23,040,000,000 x 260 = 5,990,400,000,000
ü Dr. Carl Johann Callemans books "Solving the Greatest Mystery of our Time: The Mayan Calendar" [1999] and "Transformation of Consciousness" [2004] are the sources of the integrated calendrical system shown above.
ü “The Prophet’s Manual” by Daniel Orr is the original source of the fractal math
ü The mayan calendar masters thesis with the orbital analysis and comparison here in PDF is the source of the astronomical tables (not shown):
Download a 65 page PDF file which shows exactly how all of the cycles and counts of days were all counting days as they tracked orbits of the earth, sun, moon, mercury, venus, mars, saturn, transits, and many other of the movements in motion in the solar system in the Milky Way Galaxy in the universe.
http://www.mayaexploration.org/pdf/A%20New%20View%20on%20Maya%20Astronomy.pdf
The World Tree
It is obvious that we are talking about something entirely different from a "calendar" in the common meaning of the word. It seems that the source of this divine creation is an all-encompasing Creative Principle, the Cosmic World Tree, or what the Maya would call Hunab-Ku, the Vikings Yggdrasil and the Jews the Tree of Life.
Through holographic resonance at the galactic, planetary and human levels this Creative Principle conditions the evolution of consciousness all over the universe, including on our own planet. It does so by creating alternating fields of energy "vibration" that is the schedule of evolution in all aspects of creation.
The Mayan calendar is a way to combine and contrast the similarities and differences of the various energies that change day by day through the light vibrations sent by the World Tree. Its glyphs and numbers symbolize these energies.
To many modern people the existence of a "World Tree" having a role shaping our lives may be too much to swallow...or too much to ignore? Yet, are we not the designers? As the designers of our self and as co-creators in consciousness of our own lives?
I think however that we should be reminded that the idea of a World Tree is one of the most widespread ”Universal Myths” in the ancient world. In the Biblical story of Adam and Eve, the World Tree provides the very stage of divine creation. In the Icelandic Sagas Yggdrasil plays a similar role and among the Maya, one of their best known long-term calendars, the so-called Long Count that started in 3114 BC, was activated by the First Father his raising of the World Tree.
Maybe then there is something here that is important for us to understand. If the World Tree set the stage with divine creation, in several different ancient cultures, widely separated in space and time, maybe we should understand what there is to know? After all, it is hard to fathom that it does not serve an important purpose. With so much interest in the topic, and myths of the World Tree in unrelated cultures and time periods, there must be information that is important for it to be so obscured.
If the Mayan calendar charts the vibrations of the World Tree and this World Tree is all-encompassing and universal in nature then this has a very significant consequence: This is that the cycles of the Mayan calendar are not subordinated to the astronomical cycles of our local planet.
Planetary Pulses
The pulses emitted from the World Tree influence not only our own planet, but also all planetary systems in our galaxy as well as in all other galaxies. If we are to resonate with the pulse energy emanating from the World Tree, there is little to base our notion of time on as the period of our own planet revolution about the Sun.
Calendar Unique?
Unlike all other calendrical systems, it is not based on or subordinated to astronomical cycles. Just like consciousness, it is primary to the movement of matter in motion in the universe, necessary for any system that we believe has prophetic energy. Since the evolution of consciousness is propelled by pulses emanating from the World Tree a prophetic calendar system must be based on these pulses rather than the relative mechanical movements of the Earth, Moon and Sun.
Evolution of Consciousness is Primary to the cycles of celestial bodies in the sky.
Please see Mayan Math - Part 3 to continue.