Perpetual Julian and Gregorian Calendar Table
For Julian dates before 1300 and after 1999 the year in the table which differs by an exact multiple of 700 years should be used. For Gregorian dates after 2299,the year in the table which differs by an exact multiple of 400 years should be used. The values "" through "" indicate the remainder when the Hundreds value is divided by 7 and 4 respectively, indicating how the series extend in either direction. Both Julian and Gregorian values are shown 1500-1999 for convenience.
For each component of the date (the hundreds, remaining digits and month), the corresponding numbers in the far right hand column on the same line are added to each other and the day of the month. This total is then divided by 7 and the remainder from this division located in the far right hand column. The day of the week is beside it. Bold figures (e.g. 04) denote leap year. If a year ends in 00 and its hundreds are in bold it is a leap year. Thus 19 indicates that 1900 is not a Gregorian leap year, (but 19 in the Julian column indicates that it is a Julian leap year, as are all Julian x00 years). 20 indicates that 2000 is a leap year. Use Jan and Feb only in leap years.
| Remaining Year Digits | Month | # | ||||||
|---|---|---|---|---|---|---|---|---|
| 19 | 16 20 | 00 06 17 23 | 28 34 45 51 | 56 62 73 79 | 84 90 | Jan Oct | Sa | 0 |
| 18 | 15 19 | 01 07 12 18 | 29 35 40 46 | 57 63 68 74 | 85 91 96 | May | Su | 1 |
| 17 |
|
02 13 19 24 | 30 41 47 52 | 58 69 75 80 | 86 97 | Feb Aug | M | 2 |
| 16 | 18 22 | 03 08 14 25 | 31 36 42 53 | 59 64 70 81 | 87 92 98 | Feb Mar Nov | Tu | 3 |
| 15 |
|
09 15 20 26 | 37 43 48 54 | 65 71 76 82 | 93 99 | Jun | W | 4 |
| 14 | 17 21 | 04 10 21 27 | 32 38 49 55 | 60 66 77 83 | 88 94 | Sep Dec | Th | 5 |
| 13 |
|
05 11 16 22 | 33 39 44 50 | 61 67 72 78 | 89 95 | Jan Apr Jul | F | 6 |
Example: On what day does Feb 3, 4567 (Gregorian) fall?
1) The remainder of 45 / 4 is 1, so use the entry: 5.
2) The remaining digits 67 give 6.
3) Feb (not Feb for leap years) gives 3.
4) Finally, add the day of the month: 3.
5) Adding 5 + 6 + 3 + 3 = 17. Dividing by 7 leaves a remainder of 3, so the day of the week is Tuesday.
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