Common year

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A common year is any year that has exactly 365 days, and so is not a leap year. For example, the years 2021, 2022, and 2023 are common years. Also, century years like 1800, 1900, 2100, and 2200 that are not divisible by 400 are common years in the Gregorian calendar.

Types of common years[edit source]

There are 7 types of common years, one for each day of the week.

Starting on Sunday[edit source]

Common year with dominical letter A
January February March April
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 4 5 6 7 1 2 3 4 1 2 3 4 1
8 9 10 11 12 13 14 5 6 7 8 9 10 11 5 6 7 8 9 10 11 2 3 4 5 6 7 8
15 16 17 18 19 20 21 12 13 14 15 16 17 18 12 13 14 15 16 17 18 9 10 11 12 13 14 15
22 23 24 25 26 27 28 19 20 21 22 23 24 25 19 20 21 22 23 24 25 16 17 18 19 20 21 22
29 30 31 26 27 28 26 27 28 29 30 31 23 24 25 26 27 28 29
30
May June July August
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 4 5 6 1 2 3 1 1 2 3 4 5
7 8 9 10 11 12 13 4 5 6 7 8 9 10 2 3 4 5 6 7 8 6 7 8 9 10 11 12
14 15 16 17 18 19 20 11 12 13 14 15 16 17 9 10 11 12 13 14 15 13 14 15 16 17 18 19
21 22 23 24 25 26 27 18 19 20 21 22 23 24 16 17 18 19 20 21 22 20 21 22 23 24 25 26
28 29 30 31 25 26 27 28 29 30 23 24 25 26 27 28 29 27 28 29 30 31
30 31
September October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 1 2 3 4 5 6 7 1 2 3 4 1 2
3 4 5 6 7 8 9 8 9 10 11 12 13 14 5 6 7 8 9 10 11 3 4 5 6 7 8 9
10 11 12 13 14 15 16 15 16 17 18 19 20 21 12 13 14 15 16 17 18 10 11 12 13 14 15 16
17 18 19 20 21 22 23 22 23 24 25 26 27 28 19 20 21 22 23 24 25 17 18 19 20 21 22 23
24 25 26 27 28 29 30 29 30 31 26 27 28 29 30 24 25 26 27 28 29 30
31

For such a year, the dominical letter is A and Friday the 13ths occur on January 13 and October 13. Such years occur 43 times in the 400-year cycle of the Gregorian calendar and 3 times in the 28-year cycle of the Julian calendar.

Occurrences in the Gregorian cycle (mod 400)
Year mod 4=1 Year mod 4=2 Year mod 4=3
17 6 23
45 34 51
73 62 79
90
113 102 119
141 130 147
169 158 175
197 186
209 215
237 226 243
265 254 271
293 282 299
305 311
333 322 339
361 350 367
389 378 395

In the Julian calendar, such years occur when the year reduces to 2, 13, or 19 mod 28.

Starting on Monday[edit source]

Common year with dominical letter G
January February March April
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 4 5 6 1 2 3 1 2 3 1 2 3 4 5 6 7
7 8 9 10 11 12 13 4 5 6 7 8 9 10 4 5 6 7 8 9 10 8 9 10 11 12 13 14
14 15 16 17 18 19 20 11 12 13 14 15 16 17 11 12 13 14 15 16 17 15 16 17 18 19 20 21
21 22 23 24 25 26 27 18 19 20 21 22 23 24 18 19 20 21 22 23 24 22 23 24 25 26 27 28
28 29 30 31 25 26 27 28 25 26 27 28 29 30 31 29 30
May June July August
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 4 5 1 2 1 2 3 4 5 6 7 1 2 3 4
6 7 8 9 10 11 12 3 4 5 6 7 8 9 8 9 10 11 12 13 14 5 6 7 8 9 10 11
13 14 15 16 17 18 19 10 11 12 13 14 15 16 15 16 17 18 19 20 21 12 13 14 15 16 17 18
20 21 22 23 24 25 26 17 18 19 20 21 22 23 22 23 24 25 26 27 28 19 20 21 22 23 24 25
27 28 29 30 31 24 25 26 27 28 29 30 29 30 31 26 27 28 29 30 31
September October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 1 2 3 4 5 6 1 2 3 1
2 3 4 5 6 7 8 7 8 9 10 11 12 13 4 5 6 7 8 9 10 2 3 4 5 6 7 8
9 10 11 12 13 14 15 14 15 16 17 18 19 20 11 12 13 14 15 16 17 9 10 11 12 13 14 15
16 17 18 19 20 21 22 21 22 23 24 25 26 27 18 19 20 21 22 23 24 16 17 18 19 20 21 22
23 24 25 26 27 28 29 28 29 30 31 25 26 27 28 29 30 23 24 25 26 27 28 29
30 30 31

For such a year, the dominical letter is G and Friday the 13ths occur on April 13 and July 13. Such years occur 43 times in the 400-year cycle of the Gregorian calendar and 3 times in the 28-year cycle of the Julian calendar.

Occurrences in the Gregorian cycle (mod 400)
Year 300 (exceptional) Year mod 4=1 Year mod 4=2 Year mod 4=3
1 18 7
29 46 35
57 74 63
85 91
114 103
125 142 131
153 170 159
181 198 187
210
221 238 227
249 266 255
277 294 283
300 306
317 334 323
345 362 351
373 390 379

In the Julian calendar, such years occur when the year reduces to 3, 14, or 25 mod 28.

Starting on Tuesday[edit source]

Common year with dominical letter F
January February March April
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 4 5 1 2 1 2 1 2 3 4 5 6
6 7 8 9 10 11 12 3 4 5 6 7 8 9 3 4 5 6 7 8 9 7 8 9 10 11 12 13
13 14 15 16 17 18 19 10 11 12 13 14 15 16 10 11 12 13 14 15 16 14 15 16 17 18 19 20
20 21 22 23 24 25 26 17 18 19 20 21 22 23 17 18 19 20 21 22 23 21 22 23 24 25 26 27
27 28 29 30 31 24 25 26 27 28 24 25 26 27 28 29 30 28 29 30
31
May June July August
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 4 1 1 2 3 4 5 6 1 2 3
5 6 7 8 9 10 11 2 3 4 5 6 7 8 7 8 9 10 11 12 13 4 5 6 7 8 9 10
12 13 14 15 16 17 18 9 10 11 12 13 14 15 14 15 16 17 18 19 20 11 12 13 14 15 16 17
19 20 21 22 23 24 25 16 17 18 19 20 21 22 21 22 23 24 25 26 27 18 19 20 21 22 23 24
26 27 28 29 30 31 23 24 25 26 27 28 29 28 29 30 31 25 26 27 28 29 30 31
30
September October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 4 5 6 7 1 2 3 4 5 1 2 1 2 3 4 5 6 7
8 9 10 11 12 13 14 6 7 8 9 10 11 12 3 4 5 6 7 8 9 8 9 10 11 12 13 14
15 16 17 18 19 20 21 13 14 15 16 17 18 19 10 11 12 13 14 15 16 15 16 17 18 19 20 21
22 23 24 25 26 27 28 20 21 22 23 24 25 26 17 18 19 20 21 22 23 22 23 24 25 26 27 28
29 30 27 28 29 30 31 24 25 26 27 28 29 30 29 30 31

For such a year, the dominical letter is F and Friday the 13ths occur on September 13 and December 13. Such years occur 44 times in the 400-year cycle of the Gregorian calendar and 3 times in the 28-year cycle of the Julian calendar.

Occurrences in the Gregorian cycle (mod 400)
Year mod 4=1 Year mod 4=2 Year mod 4=3
13 2 19
41 30 47
69 58 75
97 86
109 115
137 126 143
165 154 171
193 182 199
205 211
233 222 239
261 250 267
289 278 295
301 307
329 318 335
357 346 363
385 374 391

In the Julian calendar, such years occur when the year reduces to 9, 15, or 26 mod 28.

Starting on Wednesday[edit source]

Common year with dominical letter E
January February March April
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 4 1 1 1 2 3 4 5
5 6 7 8 9 10 11 2 3 4 5 6 7 8 2 3 4 5 6 7 8 6 7 8 9 10 11 12
12 13 14 15 16 17 18 9 10 11 12 13 14 15 9 10 11 12 13 14 15 13 14 15 16 17 18 19
19 20 21 22 23 24 25 16 17 18 19 20 21 22 16 17 18 19 20 21 22 20 21 22 23 24 25 26
26 27 28 29 30 31 23 24 25 26 27 28 23 24 25 26 27 28 29 27 28 29 30
30 31
May June July August
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 1 2 3 4 5 6 7 1 2 3 4 5 1 2
4 5 6 7 8 9 10 8 9 10 11 12 13 14 6 7 8 9 10 11 12 3 4 5 6 7 8 9
11 12 13 14 15 16 17 15 16 17 18 19 20 21 13 14 15 16 17 18 19 10 11 12 13 14 15 16
18 19 20 21 22 23 24 22 23 24 25 26 27 28 20 21 22 23 24 25 26 17 18 19 20 21 22 23
25 26 27 28 29 30 31 29 30 27 28 29 30 31 24 25 26 27 28 29 30
31
September October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 4 5 6 1 2 3 4 1 1 2 3 4 5 6
7 8 9 10 11 12 13 5 6 7 8 9 10 11 2 3 4 5 6 7 8 7 8 9 10 11 12 13
14 15 16 17 18 19 20 12 13 14 15 16 17 18 9 10 11 12 13 14 15 14 15 16 17 18 19 20
21 22 23 24 25 26 27 19 20 21 22 23 24 25 16 17 18 19 20 21 22 21 22 23 24 25 26 27
28 29 30 26 27 28 29 30 31 23 24 25 26 27 28 29 28 29 30 31
30

For such a year, the dominical letter is E and a Friday the 13th occurs on June 13. Such years occur 43 times in the 400-year cycle of the Gregorian calendar and 3 times in the 28-year cycle of the Julian calendar.

Occurrences in the Gregorian cycle (mod 400)
Year 200 (exceptional) Year mod 4=1 Year mod 4=2 Year mod 4=3
25 14 3
53 42 31
81 70 59
98 87
121 110
149 138 127
177 166 155
194 183
200 217 206
245 234 223
273 262 251
290 279
313 302
341 330 319
369 358 347
397 386 375

In the Julian calendar, such years occur when the year reduces to 10, 21, or 27 mod 28.

Starting on Thursday[edit source]

Common year with dominical letter D
January February March April
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4
4 5 6 7 8 9 10 8 9 10 11 12 13 14 8 9 10 11 12 13 14 5 6 7 8 9 10 11
11 12 13 14 15 16 17 15 16 17 18 19 20 21 15 16 17 18 19 20 21 12 13 14 15 16 17 18
18 19 20 21 22 23 24 22 23 24 25 26 27 28 22 23 24 25 26 27 28 19 20 21 22 23 24 25
25 26 27 28 29 30 31 29 30 31 26 27 28 29 30
May June July August
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 1 2 3 4 5 6 1 2 3 4 1
3 4 5 6 7 8 9 7 8 9 10 11 12 13 5 6 7 8 9 10 11 2 3 4 5 6 7 8
10 11 12 13 14 15 16 14 15 16 17 18 19 20 12 13 14 15 16 17 18 9 10 11 12 13 14 15
17 18 19 20 21 22 23 21 22 23 24 25 26 27 19 20 21 22 23 24 25 16 17 18 19 20 21 22
24 25 26 27 28 29 30 28 29 30 26 27 28 29 30 31 23 24 25 26 27 28 29
31 30 31
September October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 4 5 1 2 3 1 2 3 4 5 6 7 1 2 3 4 5
6 7 8 9 10 11 12 4 5 6 7 8 9 10 8 9 10 11 12 13 14 6 7 8 9 10 11 12
13 14 15 16 17 18 19 11 12 13 14 15 16 17 15 16 17 18 19 20 21 13 14 15 16 17 18 19
20 21 22 23 24 25 26 18 19 20 21 22 23 24 22 23 24 25 26 27 28 20 21 22 23 24 25 26
27 28 29 30 25 26 27 28 29 30 31 29 30 27 28 29 30 31

For such a year, the dominical letter is D and Friday the 13ths occur on February 13, March 13, and November 13. Such years occur 44 times in the 400-year cycle of the Gregorian calendar and 3 times in the 28-year cycle of the Julian calendar.

Occurrences in the Gregorian cycle (mod 400)
Year mod 4=1 Year mod 4=2 Year mod 4=3
9 26 15
37 54 43
65 82 71
93 99
105 122 111
133 150 139
161 178 167
189 195
201 218 207
229 246 235
257 274 263
285 291
314 303
325 342 331
353 370 359
381 398 387

In the Julian calendar, such years occur when the year reduces to 5, 11, or 22 mod 28.

Starting on Friday[edit source]

Common year with dominical letter C
January February March April
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3
3 4 5 6 7 8 9 7 8 9 10 11 12 13 7 8 9 10 11 12 13 4 5 6 7 8 9 10
10 11 12 13 14 15 16 14 15 16 17 18 19 20 14 15 16 17 18 19 20 11 12 13 14 15 16 17
17 18 19 20 21 22 23 21 22 23 24 25 26 27 21 22 23 24 25 26 27 18 19 20 21 22 23 24
24 25 26 27 28 29 30 28 28 29 30 31 25 26 27 28 29 30
31
May June July August
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 1 2 3 4 5 1 2 3 1 2 3 4 5 6 7
2 3 4 5 6 7 8 6 7 8 9 10 11 12 4 5 6 7 8 9 10 8 9 10 11 12 13 14
9 10 11 12 13 14 15 13 14 15 16 17 18 19 11 12 13 14 15 16 17 15 16 17 18 19 20 21
16 17 18 19 20 21 22 20 21 22 23 24 25 26 18 19 20 21 22 23 24 22 23 24 25 26 27 28
23 24 25 26 27 28 29 27 28 29 30 25 26 27 28 29 30 31 29 30 31
30 31
September October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 4 1 2 1 2 3 4 5 6 1 2 3 4
5 6 7 8 9 10 11 3 4 5 6 7 8 9 7 8 9 10 11 12 13 5 6 7 8 9 10 11
12 13 14 15 16 17 18 10 11 12 13 14 15 16 14 15 16 17 18 19 20 12 13 14 15 16 17 18
19 20 21 22 23 24 25 17 18 19 20 21 22 23 21 22 23 24 25 26 27 19 20 21 22 23 24 25
26 27 28 29 30 24 25 26 27 28 29 30 28 29 30 26 27 28 29 30 31
31

For such a year, the dominical letter is C and a Friday the 13th occurs on August 13. Such years occur 43 times in the 400-year cycle of the Gregorian calendar and 3 times in the 28-year cycle of the Julian calendar.

Occurrences in the Gregorian cycle (mod 400)
Year 100 (exceptional) Year mod 4=1 Year mod 4=2 Year mod 4=3
21 10 27
49 38 55
77 66 83
94
100 117 106 123
145 134 151
173 162 179
190
213 202 219
241 230 247
269 258 275
297 286
309 315
337 326 343
365 354 371
393 382 399

In the Julian calendar, such years occur when the year reduces to 6, 17, or 23 mod 28.

Starting on Saturday[edit source]

Common year with dominical letter B
January February March April
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 1 2 3 4 5 1 2 3 4 5 1 2
2 3 4 5 6 7 8 6 7 8 9 10 11 12 6 7 8 9 10 11 12 3 4 5 6 7 8 9
9 10 11 12 13 14 15 13 14 15 16 17 18 19 13 14 15 16 17 18 19 10 11 12 13 14 15 16
16 17 18 19 20 21 22 20 21 22 23 24 25 26 20 21 22 23 24 25 26 17 18 19 20 21 22 23
23 24 25 26 27 28 29 27 28 27 28 29 30 31 24 25 26 27 28 29 30
30 31
May June July August
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 4 5 6 7 1 2 3 4 1 2 1 2 3 4 5 6
8 9 10 11 12 13 14 5 6 7 8 9 10 11 3 4 5 6 7 8 9 7 8 9 10 11 12 13
15 16 17 18 19 20 21 12 13 14 15 16 17 18 10 11 12 13 14 15 16 14 15 16 17 18 19 20
22 23 24 25 26 27 28 19 20 21 22 23 24 25 17 18 19 20 21 22 23 21 22 23 24 25 26 27
29 30 31 26 27 28 29 30 24 25 26 27 28 29 30 28 29 30 31
31
September October November December
Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat
1 2 3 1 1 2 3 4 5 1 2 3
4 5 6 7 8 9 10 2 3 4 5 6 7 8 6 7 8 9 10 11 12 4 5 6 7 8 9 10
11 12 13 14 15 16 17 9 10 11 12 13 14 15 13 14 15 16 17 18 19 11 12 13 14 15 16 17
18 19 20 21 22 23 24 16 17 18 19 20 21 22 20 21 22 23 24 25 26 18 19 20 21 22 23 24
25 26 27 28 29 30 23 24 25 26 27 28 29 27 28 29 30 25 26 27 28 29 30 31
30 31

For such a year, the dominical letter is B and a Friday the 13th occurs on May 13. Such years occur 43 times in the 400-year cycle of the Gregorian calendar and 3 times in the 28-year cycle of the Julian calendar.

Occurrences in the Gregorian cycle (mod 400)
Year mod 4=1 Year mod 4=2 Year mod 4=3
5 22 11
33 50 39
61 78 67
89 95
101 118 107
129 146 135
157 174 163
185 191
214 203
225 242 231
253 270 259
281 298 287
310
321 338 327
349 366 355
377 394 383

In the Julian calendar, such years occur when the year reduces to 1, 7, or 18 mod 28.