Carlos Garcia-Liano Research: 1998-2011 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.
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