### The CORRELATION

 Maya CalendarsCalendar and CyclesNAHUATL VARIANTThe CORRELATIONCalendario y ciclosLA CORRELACIONVariante NAHUATLCalendrier et CyclesLA CORRELATIONVariante NAHUATL

Research:  1998-2012

Gregorian and MesoAmerican dates can not be correlated

The Gregorian calendar calculates the years;   The MesoAmericans record the days.

The solar year is more exactly measured by the Tropical year of  365.24218967 days.  It creates a 128 year cycle formed by 4 groups:  29, 33, 33 and 33 years;

The leap days not always happen every 4 years;  at the beginning of each group it happens during the 5th year.

29                            33                              33                              33                           =   128 years

(5-4-4-4-4-4-4)     (5-4-4-4-4-4-4-4)     (5-4-4-4-4-4-4-4)    (5-4-4-4-4-4-4-4)

7                         8                           8                         8                         31 are leap years

There are 31 extra days in 128 years.

The Julian calendar added 1 leap day every 4 years, accumulating 32 extra days in 128 years.

The Gregorian calendar adds 1 leap day every  4 years, and ommits 1 day every 100 years except every 400 years :  400, 800, 1200, 1600, 2000, etc.  This formula adds 1 non existent day every 3200 years, starting from the year 400.

The Gregorian calendar  is  rarely synchronized  to the tropical solar cycle;

- Permanently unsinchronized (by 1 day) from year  400 to 3599;       (by 2 days) from 3600 to 6799,  etc., etc. :

(400 years * 365)  +  (100 extra days -3)  =  146097 days;      Tropical cycle: 146096 days for the first period of 400 years.

- Constantly unsynchronized (by 1 day) and resynchronized during every 128 years cycle:

Tropical and Gregorian years compared;       128 year cycle.

Leap Years                        Unsynchronized years

1- 2- 3- 4- 5- 6- 7- 8- 9-10-11-12-13-14-15-16-17-18-19-20-21-22-23-24-25-26-27-28-29

1- 2- 3- 4- 5- 6- 7- 8- 9-10-11-12-13-14-15-16-17-18-19-20-21-22-23-24-25-26-27-28-29

30-31-32-33-34-35-36-37-38-39-40-41-42-43-44-45-46-47-48-49-50-51-52-53-54-55-56-57-58-59-60-61-62

30-31-32-33-34-35-36-37-38-39-40-41-42-43-44-45-46-47-48-49-50-51-52-53-54-55-56-57-58-59-60-61-62

63-64-65-66-67-68-69-70-71-72-73-74-75-76-77-78-79-80-81-82-83-84-85-86-87-88-89-90-91-92-93-94-95

63-64-65-66-67-68-69-70-71-72-73-74-75-76-77-78-79-80-81-82-83-84-85-86-87-88-89-90-91-92-93-94-95

96-97-98-99-100-101-102-103-104-105-106-107-108-109-110-111-112-113-114-115-116-117-118-119-120-121-122-123-124-125-126-127-128

96-97-98-99-100-101-102-103-104-105-106-107-108-109-110-111-112-113-114-115-116-117-118-119-120-121-122-123-124-125-126-127-128

From year 100 to 128:  synchronized.