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Revision as of 08:35, 1 September 2017
The Xhovian Calendar is the most widely used civil calendar of South Baredina. The reformed version used today was devised in 1480 by the Haldian mathematician and astronomer Ajkkën Veuttinec.
It is a solar calendar beginning on the Gregorian date of the 21st of June, in accordance with the occurrence of the summer solstice. An additional day is inserted between the Gregorian dates of the 20th and 21st of June every leap year, which in terms of the Xhovian calendar is defined as being every year divisible four, excluding any year that is also divisible by 100 and yields a remainder of 200 or 600 when divided by 900.
The Xhovian calendar does not split the year up into months, and so the date is typically written in the formats of DDD/YY, DDD/YYYY, or more rarely, YYYY/DDD.
Arithmetic
The following are Gregorian minus Xhovian date differences, calculated for the beginning of March in each century year, which is where differences arise or disappear, until 10000 AD. These are exact arithmetic calculations, not depending on any astronomy. A negative difference means that the proleptic Xhovian calendar was behind the proleptic Gregorian calendar. The Xhovian calendar is the same as the Gregorian calendar from 1 March 1600 to 28 February 2800. A positive difference means that the Xhovian calendar will be ahead of the Gregorian calendar, which will first occur on 1 March 2800:
Century Difference |
100 0 |
200 −1 |
300 −1 |
400 0 |
500 0 |
600 −1 |
700 −1 |
800 0 |
900 0 |
1000 0 |
---|---|---|---|---|---|---|---|---|---|---|
Century Difference |
1100 −1 |
1200 0 |
1300 0 |
1400 0 |
1500 −1 |
1600 0 |
1700 0 |
1800 0 |
1900 0 |
2000 0 |
Century Difference |
2100 0 |
2200 0 |
2300 0 |
2400 0 |
2500 0 |
2600 0 |
2700 0 |
2800 +1 |
2900 0 |
3000 0 |
Century Difference |
3100 0 |
3200 +1 |
3300 0 |
3400 0 |
3500 0 |
3600 +1 |
3700 +1 |
3800 0 |
3900 0 |
4000 +1 |
Century Difference |
4100 +1 |
4200 0 |
4300 0 |
4400 +1 |
4500 +1 |
4600 +1 |
4700 0 |
4800 +1 |
4900 +1 |
5000 +1 |
Century Difference |
5100 0 |
5200 +1 |
5300 +1 |
5400 +1 |
5500 +1 |
5600 +1 |
5700 +1 |
5800 +1 |
5900 +1 |
6000 +1 |
Century Difference |
6100 +1 |
6200 +1 |
6300 +1 |
6400 +2 |
6500 +1 |
6600 +1 |
6700 +1 |
6800 +2 |
6900 +1 |
7000 +1 |
Century Difference |
7100 +1 |
7200 +2 |
7300 +2 |
7400 +1 |
7500 +1 |
7600 +2 |
7700 +2 |
7800 +1 |
7900 +1 |
8000 +2 |
Century Difference |
8100 +2 |
8200 +2 |
8300 +1 |
8400 +2 |
8500 +2 |
8600 +2 |
8700 +1 |
8800 +2 |
8900 +2 |
9000 +2 |
Century Difference |
9100 +2 |
9200 +2 |
9300 +2 |
9400 +2 |
9500 +2 |
9600 +2 |
9700 +2 |
9800 +2 |
9900 +2 |
10000 +3 |
The Xhovian leap rule omits seven of nine century leap years, leaving 225−7 = 218 leap days per 900-year cycle. Thus the calendar mean year is 365+218⁄900 days, but this is actually a double-cycle that reduces to 365+109⁄450 = ~365.242 days, or exactly 365 days 5 hours 48 minutes 48 seconds, which is exactly 24 seconds shorter than the Gregorian mean year of 365.2425 days, so in the long term on average the Xhovian calendar pulls ahead of the Gregorian calendar by one day in 3600 years.
The number of days per Xhovian calendar cycle = 900 × 365 + 218 = 328,718 days. Taking mod 7 leaves a remainder of 5, so unlike the Gregorian calendar, the Xhovian calendar cycle does not contain a whole number of weeks. Therefore, a full repetition of the Xhovian leap cycle with respect to the seven-day weekly cycle is seven times the cycle length = 7 × 900 = 6300 years.
Conversion
The following is a table listing the conversion of all dates of the year from the Gregorian to the Xhovian calendar, excluding during leap years:
January | Xhovian | February | Xhovian | March | Xhovian | April | Xhovian | May | Xhovian | June | Xhovian | July | Xhovian | August | Xhovian | September | Xhovian | October | Xhovian | November | Xhovian | December | Xhovian |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 196
|
1 | 227
|
1 | 255
|
1 | 286
|
1 | 316
|
1 | 347
|
1 | 12
|
1 | 43
|
1 | 74
|
1 | 104
|
1 | 135
|
1 | 165
|
2 | 197
|
2 | 228
|
2 | 256
|
2 | 287
|
2 | 317
|
2 | 348
|
2 | 13
|
2 | 44
|
2 | 75
|
2 | 105
|
2 | 136
|
2 | 166
|
3 | 198
|
3 | 229
|
3 | 257
|
3 | 288
|
3 | 318
|
3 | 349
|
3 | 14
|
3 | 45
|
3 | 76
|
3 | 106
|
3 | 137
|
3 | 167
|
4 | 199
|
4 | 230
|
4 | 258
|
4 | 289
|
4 | 319
|
4 | 350
|
4 | 15
|
4 | 46
|
4 | 77
|
4 | 107
|
4 | 138
|
4 | 168
|
5 | 200
|
5 | 231
|
5 | 259
|
5 | 290
|
5 | 320
|
5 | 351
|
5 | 16
|
5 | 47
|
5 | 78
|
5 | 108
|
5 | 139
|
5 | 169
|
6 | 201
|
6 | 232
|
6 | 260
|
6 | 291
|
6 | 321
|
6 | 352
|
6 | 17
|
6 | 48
|
6 | 79
|
6 | 109
|
6 | 140
|
6 | 170
|
7 | 202
|
7 | 233
|
7 | 261
|
7 | 292
|
7 | 322
|
7 | 353
|
7 | 18
|
7 | 49
|
7 | 80
|
7 | 110
|
7 | 141
|
7 | 171
|
8 | 203
|
8 | 234
|
8 | 262
|
8 | 293
|
8 | 323
|
8 | 354
|
8 | 19
|
8 | 50
|
8 | 81
|
8 | 111
|
8 | 142
|
8 | 172
|
9 | 204
|
9 | 235
|
9 | 263
|
9 | 294
|
9 | 324
|
9 | 355
|
9 | 20
|
9 | 51
|
9 | 82
|
9 | 112
|
9 | 143
|
9 | 173
|
10 | 205
|
10 | 236
|
10 | 264
|
10 | 295
|
10 | 325
|
10 | 356
|
10 | 21
|
10 | 52
|
10 | 83
|
10 | 113
|
10 | 144
|
10 | 174
|
11 | 206
|
11 | 237
|
11 | 265
|
11 | 296
|
11 | 326
|
11 | 357
|
11 | 22
|
11 | 53
|
11 | 84
|
11 | 114
|
11 | 145
|
11 | 175
|
12 | 207
|
12 | 238
|
12 | 266
|
12 | 297
|
12 | 327
|
12 | 358
|
12 | 23
|
12 | 54
|
12 | 85
|
12 | 115
|
12 | 146
|
12 | 176
|
13 | 208
|
13 | 239
|
13 | 267
|
13 | 298
|
13 | 328
|
13 | 359
|
13 | 24
|
13 | 55
|
13 | 86
|
13 | 116
|
13 | 147
|
13 | 177
|
14 | 209
|
14 | 240
|
14 | 268
|
14 | 299
|
14 | 329
|
14 | 360
|
14 | 25
|
14 | 56
|
14 | 87
|
14 | 117
|
14 | 148
|
14 | 178
|
15 | 210
|
15 | 241
|
15 | 269
|
15 | 300
|
15 | 330
|
15 | 361
|
15 | 26
|
15 | 57
|
15 | 88
|
15 | 118
|
15 | 149
|
15 | 179
|
16 | 211
|
16 | 242
|
16 | 270
|
16 | 301
|
16 | 331
|
16 | 362
|
16 | 27
|
16 | 58
|
16 | 89
|
16 | 119
|
16 | 150
|
16 | 180
|
17 | 212
|
17 | 243
|
17 | 271
|
17 | 302
|
17 | 332
|
17 | 363
|
17 | 28
|
17 | 59
|
17 | 90
|
17 | 120
|
17 | 151
|
17 | 181
|
18 | 213
|
18 | 244
|
18 | 272
|
18 | 303
|
18 | 333
|
18 | 364
|
18 | 29
|
18 | 60
|
18 | 91
|
18 | 121
|
18 | 152
|
18 | 182
|
19 | 214
|
19 | 245
|
19 | 273
|
19 | 304
|
19 | 334
|
19 | 365
|
19 | 30
|
19 | 61
|
19 | 92
|
19 | 122
|
19 | 153
|
19 | 183
|
20 | 215
|
20 | 246
|
20 | 274
|
20 | 305
|
20 | 335
|
20 | 1
|
20 | 31
|
20 | 62
|
20 | 93
|
20 | 123
|
20 | 154
|
20 | 184
|
21 | 216
|
21 | 247
|
21 | 275
|
21 | 306
|
21 | 336
|
21 | 2
|
21 | 32
|
21 | 63
|
21 | 94
|
21 | 124
|
21 | 155
|
21 | 185
|
22 | 217
|
22 | 248
|
22 | 276
|
22 | 307
|
22 | 337
|
22 | 3
|
22 | 33
|
22 | 64
|
22 | 95
|
22 | 125
|
22 | 156
|
22 | 186
|
23 | 218
|
23 | 249
|
23 | 277
|
23 | 308
|
23 | 338
|
23 | 4
|
23 | 34
|
23 | 65
|
23 | 96
|
23 | 126
|
23 | 157
|
23 | 187
|
24 | 219
|
24 | 250
|
24 | 278
|
24 | 309
|
24 | 339
|
24 | 5
|
24 | 35
|
24 | 66
|
24 | 97
|
24 | 127
|
24 | 158
|
24 | 188
|
25 | 220
|
25 | 251
|
25 | 279
|
25 | 310
|
25 | 340
|
25 | 6
|
25 | 36
|
25 | 67
|
25 | 98
|
25 | 128
|
25 | 159
|
25 | 189
|
26 | 221
|
26 | 252
|
26 | 280
|
26 | 311
|
26 | 341
|
26 | 7
|
26 | 37
|
26 | 68
|
26 | 99
|
26 | 129
|
26 | 160
|
26 | 190
|
27 | 222
|
27 | 253
|
27 | 281
|
27 | 312
|
27 | 342
|
27 | 8
|
27 | 38
|
27 | 69
|
27 | 100
|
27 | 130
|
27 | 161
|
27 | 191
|
28 | 223
|
28 | 254
|
28 | 281
|
28 | 313
|
28 | 343
|
28 | 9
|
28 | 39
|
28 | 70
|
28 | 101
|
28 | 131
|
28 | 162
|
28 | 192
|
29 | 224
|
--- | ---
|
29 | 283
|
29 | 314
|
29 | 344
|
29 | 10
|
29 | 40
|
29 | 71
|
29 | 102
|
29 | 132
|
29 | 163
|
29 | 193
|
30 | 225
|
--- | ---
|
30 | 284
|
30 | 315
|
30 | 345
|
30 | 11
|
30 | 41
|
30 | 72
|
30 | 103
|
30 | 133
|
30 | 164
|
30 | 194
|
31 | 226
|
--- | ---
|
31 | 285
|
--- | ---
|
31 | 346
|
--- | ---
|
31 | 42
|
31 | 73
|
--- | ---
|
31 | 134
|
--- | ---
|
31 | 195
|