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Discipline Calendar

Instructions: How to calculate weekdays

The Gregorian calendar, which is now used worldwide (named after Pope Gregory XIII) was created at the end of the 16th century as a result of a calendar reform. Therefore the calculation of weekdays is possible from the 16th century on.

The weekday calculation is an algorithm allowing to calculate the weekday of any given date. To make this calculation, one "only" needs to learn a couple of numbers by heart: 12 and 28. Then you can make this calculation in your head.

The calculation

You need the following five numbers for the calculation:

  1. Day's digit
  2. Month's digit
  3. Century's digit
  4. Year's digit
  5. Leap-year correction (possibly)

Day's digit

7 will be substracted from the day's digit until it is no longer possible. Only the carry-over will be needed. It will always be between 0-6.

  • Example of 13: 13-7 = carry-over 6

Month's digit

These are the monthly figures that you have to remember:

January = 6
February = 2
March = 2
April = 5
May = 0
June = 3
July = 5
August = 1
September = 4
October = 6
November = 2
December = 4

  • Example of July = 5

Century's digit

The basic values ​​for the centuries are the following:

  • 0/7 for all years starting with 16, 20, 24.
  • 1 for all years starting with 19, 23, 27.
  • 3 for all years beginning starting with 18, 22, 26.
  • 5 for all years starting with 17, 21, 25.
  • Example of 19th century = 1
  • The following formula is the formula for the century digit: (3-(century mod 4)) x2 + 1.

Year's digit

28 will be substracted from the year's digit until it is no longer possible. Only the carry-over will be needed. It will always be between 0-28. Then we still need the centuries' basic values.

J0123456789101112131415
Z0123560134561234

J16171819202122232425262728
Z6012456023450

  • Beispiel 72/28 = 2 Rest 16 = 6

Optionally, you can also calculate these numbers on your own by dividing the accumulated dates by four. Only the remainder is important which you will get after having divided the total sum by 7.

  • Example 72: 72/4 = 18, 72 +18 = 90, 90/7 = 12 remainder 6

Leap year correction

Up to present, we have added the leap day to the whole year. This means that our calculation is only valid from 1 March on. If the date falls within a January or February of a leap year, a 1 must be deducted.
Leap years are all years that are divisible by 4. Century years are only considered leap years if they are divisible by 400.

Determine the day of the week

0 = Sunday
1 = Monday
2 = Tuesday
3 = Wednesday
4 = Thursday
5 = Friday
6 = Saturday
7 = Sunday

Example

We are looking for July 13th, 1972
Day's digit = 6
Month's digit = 5
Century's digit = 1
Year's digit = 6
Sum = 18.
From this sum, you have to deduct 7 as often as possible. Result: 18/7 = 2 remainder 4.
Now you have to determine the day of the week.
Therefore, July 13th, 1972 was a Thursday.

How does the number get to your brain?

To reach our goal, we are using a story based on the Number-Shape System (Association)

MonthAssociationValue/Number ImageStory
JanuaryJaguar6 - diceThe Jaguar plays dice with you.
FebruaryFeather2 - SwanThe swan is losing a feather.
MarchMercedes2 - SwanThe Mercedes Star ist replaced by a swan.
AprilApricot5 - HandThe apricots in your hand.
MayMaypole0 - EggAn egg lies on the Maypole.
JuneJune bug3 - TridentThe June Bug has been impaled by the trident
JulySecret Santa5 - HandI unwrap the gifts with my hands.
AugustEye1 - TreeThe tree pricks your eye.
SeptemberHat4 - ChairThe hat lies on the chair
OctoberOctopus6 - diceThe octopus plays dice with his eight arms.
NovemberAdvent wreath2 - SwanA swan sits on the Advent wreath
DecemberSanta Claus4 - ChairSanta Claus is sitting on the chair.

28-digit number

J0123456789101112131415
Z0123560134561234

J16171819202122232425262728
Z6012456023450

We are using a story with key words based on the Master System (Linked with the Master Code).
We take dynamite(123) to fish for salmon(560). Then we set a timer (134) to go to the Lighthouse(561). There we see how a number girl(234) is celebrating her wedding (601). We climb down the chicken ladder(245) and ride away with the bullock(602). And the lesson(345) in the story: memory training needs a lot of imagination.
The 0 and 28 are not in it, they are both 0.

Weekday

Day01234567
WertSundayMondayTuesdayWednesdayThursdayFridaySaturdaySunday
The week starts on Monday.

This is very simple, isn't it?

Enjoy the calculating.

practice mental arithmetic: Calendrical calculation - calculation of weekdays

Hier geht es darum, so schnell wie möglich den Wochentag zu einem Datum, im Kopf zu errechnen. Auf der Grundlage des weltweit angewendeten Gregorianischen Kalenders (benannt nach Papst Gregor XIII.). Dieser wurde Ende des 16. Jahrhunderts durch eine Kalenderreform eingeführt.

There are different disciplines:

  • Weekdays - these are all years beginning with 1600 - 2099.
  • Current century - as the name implies, only data from the current century.
  • Current year - as the name suggests, only data from the current year.

There are two different lengths, 1 minute and 5 minutes. The better you get, the higher will be your level.

These are the different levels:

Level5 minAdditionCenturyAdditionYearAddition1 minAddition1 min, yearAddition
11001001002020
22002002004040
33003003006060
44004003828080
5500500482100100
6600600582120120
7655655682131131
870107010764142142
980108010864162162
1090109010964182182
11115101151014010242242
12140101401019010282282
13165101901024010364364
14190102401029010464464
15240102901034010564564
16290103401039010764764
17340104401044010846846
183901049010490101101011010
194401054010590101301013010
205000590106901016001600