**How did Tony Shearer calculate Harmonic
Convergence?**

**Tony Shearer, in his 1971 book, Lord of the
Dawn, says that when Quetzalcoatl departed, he left a prophecy of
"13
Heavens and 9 Hells". Each Heaven and Hell cycle was 52 years
("years" being 365-day haabs*) in
length, and he would return at the end of the 13
Heavens, then the 9 Hells would start. **

**Cortez
landed at the Yucatan
on April 21st 1519, (according to several
sources ), fought several battles, and rounded up support from
enemies of The Aztec Emperor, Moctezuma, then marched on the capital city -
Tenochtitlan (where Mexico City now stands), on August 16th 1519**. See
this page on Cortez**

** The Aztecs welcomed Cortez as
Quetzalcoatl (also bearded & white-skinned as Quetzalcoatl had been), since
scouts reported he had arrived in ships
bearing the sign of Quetzalcoatl - the Cross of 4 directions (he also arrived in
the prophesied year of 1 Reed).**

**So,
exactly 9 Calendar Rounds after the confrontation between Cortez & Moctezuma,
(a Calendar Round is 52 haabs of 365 days each), the 9 Hells would end.**

**There
are 18,980 days in a Calendar Round (52 x 365), and 9 Calendar Rounds amounts to
170,820 days. If we add 170,820 days to August 16th 1519, (Julian
date) using the free ****GEDCOM****
date calculator, then the end of the Hell cycle comes out as 21st April 1987 (Julian
date = 4 May 1987 Gregorian date).
However, Tony Shearer calculated it as 16th/17th August, 1987, which is over 100
days later, as John Major**
**Jenkins
points out**** . Jenkins says that in Shearer's book Beneath
the Moon and Under the Sun (1975), **

**"on page 115 we read that 170,937 days
after April 21st, 1519, the Fifth World will end; on the next page we
are given the date August 16th, 1987 as the end date. This
calculation is off by over 100 days, meaning that Harmonic Convergence
should have happened in early spring! The mid-August date was
probably chosen because the astrology was fortuitous".**

**So, Shearer says he added 170,937 days to the
date that Cortez landed. This is 117 days more than the required 170,820 days in
9 calendar rounds. The explanation is that there are exactly 117 days between
the date Cortez landed and the date he confronted Moctezuma. Therefore, this is
the same as saying "170,820 days after August 16th 1519, the fifth world
will end".**

**As we have already seen, 170,820 days after
August 16th 1519 (JD) is 21st April 1987 (JD),
which is 4th May 1987 in the Gregorian calendar. Likewise, 170,937 days after
April 21st 1519 (JD) is also 4th May 1987 (Greg).
This calculated date for Harmonic Convergence is 104 days before August 16th
1987...when you take into account the extra 13 days between the Julian &
(current) Gregorian dates (104 + 13 = 117), it now seems blatantly obvious how the
error was made...**

**If 170,937 days are added to 16th August 1519
(instead of April 21st), then you arrive at...August 16th 1987! (JD)
This happens to be exactly 9 x 52 (468) Julian Years, since there are 117
Julian leap days in 468 years - coincidentally, the same number of days as there
were between the landing of Cortez and his meeting with Moctezuma.**

**From Jenkins' article, it seems possible that
Shearer may have found confirmation for the miscalculation above because,
according to the count he was
using (which was only 1 day away from the True
Count), 16th August 1987
was the day 13 Ahau, which is considered by many to be the last day in the
260-day Tzolkin (although Jenkins has argued that this is just an arbitrary
arrangement). Thus, it seemed that the end of the 9 Hells was coincident with
the point between the days 13 Ahau and 1 Imix (by the 584284 correlation); 16th/17th August 1987. **

**To my surprise, the Kalachakra
prophecy, The Seneca Indian Prophecy,
and The Cherokee Calendar Wheel, (UPDATE
23/10/2002: and Steven McFadden's new essay on Mayan priest Carlos
Barios), all seem
to indicate that there is a 25-year "time of transition" before 2012,
so it seems that 1987 was an important time, and that 25 haabs
later, (after 4th May 1987), on 27th April
2012, the "Crossing" will
start. Alternatively, if Shearer's dates were right for some reason, then 25 haabs
after August 16/17 1987 will be August 9th/10th
2012. A third possibility is
that 25 haabs before winter solstice 2012, was the key date - 28th
December 1987.**

**Actual Known Calendar Rounds
in 1987 & 2012 (from Tzolkin
by John Major Jenkins, p.288)**

**In the Teotitlan Calendar Round, there was a Calendar
Round beginning on JD 13th June 1519. 9 Calendar
Rounds (Hell Cycles) later, brings us to 1st March 1987
(Greg); 25 haabs later = 23rd
February 2012.**

**In the Tikal Calendar Round, there was a Calendar
Round beginning on JD 15th July 1544. 9 Hell Cycles
later brings us to 2nd April 2012 (Greg).**

**
I use the Mayan term here, rather than the Aztec, for consistency throughout
this site.*

*UPDATE*

****However, according to this
web page , and this
one, the encounter took place on (" 8 Wind") November 8th 1519! (which would make
the end of the 9 Hells 27th July 1987; 25 haabs later =
20th July 2012);**

**The
Timelines site says Cortez landed at Vera Cruz on March 13 1519, agrees on
November 8th as the day of the Cortez/Moctezuma encounter and gives a few
more significant conquest dates. None of these work out as 8 Wind or 9
Wind either. **

**Since the recorded ( 8/9 Wind) date in 1519 was
apparently the one that allowed a correlation between Aztec and Julian/Gregorian
calendars, I thought it would be a simple matter to locate it, but all the dates
quoted, whether in Julian or Gregorian, did not correlate to a Wind day.
I was just about to give up on the problem when I discovered the Escritorio
site that says Cortes landed at Vera Cruz on April 13 1519...which (if
entered as a Gregorian date), was the day 9 Wind in the year 1
Reed, according to the Azteccalendar.com
calculator ***. This is equivalent to the Julian date 3 April 1519. **

**This means that 9 Hells after this new date for Cortes'
landing gives the date: 20th December 1986 (GD);
25 haabs later = 14th December 2011 (GD).
However, the year 1 Reed started on JD 25th
January 1519 and 9 hells after this gives 13th October
1986 (GD) 25 haabs later = 7th
October 2011 (GD). Perhaps also significant
is the "terminal day", after which the year 1 Reed is
named; JD 19th January 1520; 9 Hells after this, is
7th October 1987 (GD);
25 haabs later = 30 September 2012 (GD).**

**Summary**

**EVENT
DATE (corr# 584283)
9 Calendar Rounds (Hells)
later plus 25 haabs**

**Beginning
of year 1 Reed 25
January 1519 (JD)
13 October 1986
7 October 2011**

**Landing
of Cortes (1)
13 March 1519 (JD)
29 November 1986
23 November 2011**

**Landing of
Cortes (2) (13
April Greg) 3 April 1519 (JD)
20 December 1986
14 December 2011 **

**Landing
of Cortes (3)
21 April 1519 (JD)
7 January 1987
1 January 2012**

**Easter
calculator
:Easter Friday 1519 = 22 April (JD)
1519 (= 2 May Greg) 8 January
1987 2
January 2012**

**Easter
Calculator: Easter Friday = 22 April 1519 (JD)**

**Day 1 Reed in Year 1 Reed
Wednesday 4 May 1519 (JD)
20 January 1987
14 January 2012**

** Teotitlan Calendar
Round
13 June 1519 (JD)
1 March 1987
23 February 2012**

*Tikal* Calendar
Round
15 July 1544 (JD)
2 April 2012

**Cortes
meets Montezuma (1) 16
August 1519 ****(JD)
4 May 1987
27 April
2012**

**Cortes
meets Montezuma (2)****
22 August 1519 (JD)
10 May 1987
3 May 2012**

**Cortes
meets Montezuma (3)****
8 November 1519
(JD)
27 July 1987
20 July 2012**

**Cortes meets Montezuma (4) theoretical
9 November 1519 (JD)
28 July
1987
21 July 2012**

**Cortes
meets Montezuma (5)****
theoretical (28 November 1519) August
16/17 1987
August 9/10 2012**

*"Terminal day"*of*
1 Reed ** (=2nd *Day * 1 Reed)*
19th January 1520 (JD) 7
October 1987
30 September 2012

**Beginning
of year 1 Coatl
24 January 1521 (JD)
12 October 1988
6 October 2013**

**Fall
of Tenochtitlan
13 August 1521 (JD)
1 May
1989
25 April 2014**

*Terminal
Day of year 1 Coatl
*18 January 1522 (JD)
6 October
1989
30 September 2014

*** Go to azteccalendar.com,
- Preferences page, and set to advanced level, Alfonso Caso correlation (584283)
and Terminal kind of year-bearer.

"Mesoamerican calendars vary in their method for naming the year. Some
calendars name the year after the first day of the year. Most calendars, as the
Aztec calendar, name the year after the last day of the last month (meztli) of
the year. This is the 360th day of the year, the one just before the 5 unlucky
days. The day the gives its name to the year is called the *year-bearer*.
Note that this date always occurs twice a year". The day on which
Tenochtitlan fell to Cortes was **13th August 1521**,
which was recorded as the day **1 Coatl in the year 3
Calli**. This is the basis of the Caso correlation and agrees with the
True Count.

**SUMMARY UPDATE Nov '03**

**Harmonic
Convergence: **Tony Shearer** **first calculated Harmonic Convergence as being
nine 52-year *Hell cycles *after the arrival of Cortez, (interpreted as the
return of *Quetzalcoatl* by the Aztecs), which he took as 21^{st}
April 1519 (JD) (which was the day before Good Friday). He calculated that 9 x
(365.25 x 52) days, (or 170,937 days) after Cortez’ arrival would be August 16^{th}
1987. However, the answer should have been 21 April 1987 JD, which is 4 May 1987
in the Gregorian calendar. But this is just the first error, since *Hell
cycles* are *Calendar Rounds*, which are each 52 *haabs* in length,
and a haab is a 365-day year, not the 365.25-day Julian year. This means there
was an error of +117 days, (there are 117 leap days in 52 x 9, or 468 years),
and the end of the nine Hell cycles should have been 117 days earlier, which is
25 December 1986 (JD) or 7 January 1987 (GD). Shearer should have used 9 x 52 x
365 days, or 170,820 days. Instead of adjusting 117 days back, the date was
adjusted 117 days forward from the 21 April 1987 (JD) date to 16 Aug 1987, but
this was taken as a Gregorian date, rather than a Julian date. This seemed to be
a meaningful date, because in the correlation Shearer was using (corr#584284, or
one day away from the True Count), August 16^{th} 1987 was the day 13
Ahau, which is the “last day” in the Tzolkin. The 17^{th} August
1987 was thus (in the 584284 correlation) the day 1 Imix, or the “first day”
of the Tzolkin. So, Harmonic Convergence should have been on 25^{th}
December 1986 (JD) or 7^{th} January 1987 Gregorian. **Total error =
+221 days **or (2 x 117) – 13 (where 13 is the accumulated difference
between Julian and Gregorian dates).

Some people who
have tried to understand how Harmonic Convergence was calculated have concluded
that it must have been calculated from the day that Cortez met the Aztec emperor
Moctezuma, since, coincidentally, this happened 117 days after 21^{st}
April (when he landed), on August 16^{th} 1519 (JD). Exactly 468 Julian
years later (9 x 52 Julian years or 170,937 days), would be August 16^{th}
1987. This calculation incorporates both errors of 117 days and the
Gregorian/Julian error.

Arguelles used
Shearer’s calculation for Harmonic Convergence, but subsequently developed an
Aztec/Maya based calendar system called *Dreamspell*, that used the same **54-day
error** Tzolkin count he used on *The Mayan Factor* p.131 (see below).
This system ignores the leap-year day of February 29^{th} every four
years, and the result is that the 54-day error is reducing by one day every four
years. In March 2004, the error will be down to 49 days. In the *Dreamspell*
count, *Harmonic Convergence* 16/17 August 1987 happened on the days *3
Men* and *4 Cib*, which means that all the meaning involved in
calculation of Harmonic Convergence as *13 Ahau* and *1 Imix –*as*
*the start/end of the Tzolkin – is lost.

**Date
Calculation Errors in The Mayan Factor**

**The
54-day error cannot be explained away as an intentional correlation, since it is
inconsistent with all the other dates in The Mayan Factor:**

**1:** (p.45; p.110) *The Mayan Factor* says that the zero day of the
Long Count was in 3113 BC instead of 3114 BC; using the alternative terminology
of 3113 BCE or year –3113 would have been correct, but probably just as
confusing to those not familiar with calendrics. This was most certainly the
cause of the one-year error in Sergey Smelyakov’s *The Auric Time Scale and
The Mayan Factor*, who did use the Arguelles book as his main source of
information on Maya calendrics. **Error = +368 days**.** 2:** On p.29 *The
Mayan Factor* says that Good Friday in 1519 was the day 1 Reed in the Aztec
calendar (1 Ben in the Maya); this is an **error of +12 days**, since 1 Reed
was on 4 May Julian (JD) or 14 May in the Gregorian calendar (GD), and Good
Friday occurred on 22 April (JD) or 2 May (GD). Good Friday actually occurred on
the day 2 Imix (Alligator) according to the True Count. **3:** On p.131, The
Mayan Factor says that the 20^{th} June 1986 was the Tzolkin day 10 Ben,
whereas it was actually the day 8 Kawak in the True Count. This is an **error
of +54 days**. **4:** On p.131 the Mayan Factor says that the 20^{th}
June 1986 was the Haab day *9 Kayeb*, whereas it was actually *12 Zotz*.
This is an **error of -108 days**. **5:** On p. 131, *The Mayan Factor*
also says that 20^{th} June 1986 was the Long Count date 12.18.14.18.9
whereas it was actually 12.18.13.1.19. This is an **error of +690 days**. **6:
**On p.131, *The Mayan Factor* says that 20^{th} June 1986 was
1,862,599 days after zero-day, whereas it was actually 1,862,319 days after
zero-day. This is an **error of +280
days**. **7:** On p.148, and p.169, *The Mayan Factor* says that the
first day of Harmonic Convergence, 16^{th} August 1987, was day number
1,863,022, after the zero-day, whereas it was actually day number 1,862,741
after zero-day. This is **an error of +281 days**. Anyone using the Long
Count figures or the Day numbers above, to calculate forward to the end of the
Long Count, would calculate the end-point (day 13.0.0.0.0 or 1,872,000 days
after zero day) to be 16 March 2012, 15 March 2012, or 31 January 2011**. 8: **On
p. 196,** ***The Mayan Factor *says that 8^{th} October 1986 was
the Tzolkin day *1 Imix*, whereas in the True Count, this was the Tzolkin
day *12 Manik*. This is **an error of +52** days**. 9. **On p. 196, *The
Mayan Factor* says that 8^{th} October 1986 was the day *12 Zotz*
in the *Haab* calendar, whereas it was actually *0 Yax*. This is an **error
of -110 days**. **10. Final Katun: **On p. 161, 179 and 200, *The Mayan
Factor* says that the final (260^{th})* Katun* of the *13-baktun
cycle* will start in 1992. In *Dreamspell*, he later refines this to
July 26^{th} 1992. It actually started on April 5^{th} 1993. A *Katun*
is 7200 days – approximately 19.72 years, not 20 years! This is an **error of
-254 days.
**

**Update
Feb 05:**

**More
Detailed Error Analysis Shows Bigger Discrepancy**

Peter
Meyer compared one date in *The Mayan Factor* (Nos. 3 -6 above) to a
date in Arguelles' earlier book, *Earth Ascending *(p.166 - the Tzolkin and
Haab dates are given as 3 Cib, 2 Mac, and said to correspond to 25 March 1988).
He found that the nearest correlation to the standard GMT correlations used by
Maya scholars, that the *Earth Ascending* date could have occurred, would
have been an unknown correlation that would put the end of the 13-baktun cycle
on the 8th April 2009 (and the date itself therefore would have been 11th
July 1984). **This is an error -1353 days. **Peter Meyer found that if the
date from *The Mayan Factor* (on p.131, mentioned at Nos. 3-6 above) is
analyzed in its entirety, the combination would have been in **error by at
least -1354 days**. This is also an unknown correlation, and differs
from the one in *Earth Ascending, *by one day. **
**