Frequency Of Occurrences Of The Date Of Easter Over One Complete ...
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Christian Feast Days Dependent on Easter Sunday
The date of Easter Sunday is crucial for the sequence of the Christian liturgical year as many Christian feast days are celebrated at a fixed interval of days (or weeks) before or after Easter Sunday.
The following table lists the most important days in the Christian liturgical year and their relation with the date of Easter Sunday. Nominally, the dates are given for the current (Gregorian) calendar year, but the dates can be adjusted for any other year in the Gregorian calendar.
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| Feast day | Antiphona ad Introitum [Vulgate numbering] | Offset from Easter Sunday | Date |
| Feast of the Holy Name of Jesus (Sunday after/on 1 January) | In nomine Jesu (Philippians 2:10) | weeks | |
| Feast of the Holy Family (1st Sunday after Epiphany) | Exsultat gaudio (Proverbs 23:24-25) | weeks | |
| 2nd Sunday after Epiphany | Omnis terra (Psalms 65:4) | weeks | |
| 3rd Sunday after Epiphany | Adorate Deum (Psalms 96:7-8) | weeks | |
| 4th Sunday after Epiphany | Adorate Deum (Psalms 96:7-8) | weeks | |
| 5th Sunday after Epiphany | Adorate Deum (Psalms 96:7-8) | weeks | |
| 6th Sunday after Epiphany | Adorate Deum (Psalms 96:7-8) | weeks |
| Feast day | Antiphona ad Introitum [Vulgate numbering] | Offset from Easter Sunday | Date |
| Septuagesima Sunday | Circumdederunt me (Psalms 17:5-7) | 9 weeks | |
| Sexagesima Sunday | Exsurge (Psalms 43:23-26) | 8 weeks | |
| Quinquagesima Sunday (Shrove Sunday) | Esto mihi in Deum (Psalms 30:3-4) | 7 weeks | |
| Ash Wednesday (1st day in Lent) | Misereris omnium (Wisdom 11:24-25 & 27) | 46 days | |
| Quadragesima Sunday (1st Sunday in Lent) | Invocavit me (Psalms 90:15-16) | 6 weeks | |
| 2nd Sunday in Lent | Reminiscere miserationum (Psalms 24:6, 3 & 22) | 5 weeks | |
| Oculi Sunday (3rd Sunday in Lent) | Oculi mei (Psalms 24:15-16) | 4 weeks | |
| Mid-Lent Sunday (4th Sunday in Lent) | Laetamini (Isaiah 66:10-11) | 3 weeks | |
| Passion Sunday (1st Sunday in Passiontide) | Iudica me Deus (Psalms 42:1-2) | 2 weeks | |
| Palm Sunday/Passion Sunday [RC] (2nd Sunday in Passiontide) | Domine ne longe (Psalms 21:20 & 22) | 1 week | |
| Holy Thursday (Maundy Thursday) | Nos autem gloriari (Galatians 6:14) | 3 days | |
| Good Friday | 2 days | ||
| Holy Saturday | 1 day | ||
| Easter Sunday | Resurrexi (Psalms 138:18, 5 & 6) | 0 | |
| Low Sunday (Octave Sunday of Easter) | Quasi modo geniti infantes (I Peter 2:2) | +1 week | |
| 2nd Sunday after Easter | Misericordia Domini (Psalms 32:5-6) | +2 weeks | |
| 3rd Sunday after Easter | Jubilate Deo (Psalms 65:1-2) | +3 weeks | |
| 4th Sunday after Easter | Cantate Domino (Psalms 97:1-2) | +4 weeks | |
| Rogation Sunday | Vocem jucunditatis (Isaiah 48:20) | +5 weeks | |
| Ascension Day (Thursday) | Viri Galilaei (Psalms 138:18 & 5-6) | +39 days | |
| Octave Sunday of Ascension | Exaudi Domine (Psalms 26:7-9) | +6 weeks | |
| Pentecost (Whitsunday) | Spiritus Domini (Wisdom 1:7) | +7 weeks | |
| Trinity Sunday (1st Sunday after Pentecost) | Benedicta sit (Tobit 12:6) | +8 weeks | |
| Corpus Christi (Thursday after Trinity Sunday) | Cibavit eos (Psalms 80:17) | +60 days | |
| 2nd Sunday after Pentecost (Corpus Christi [USA]) | Factus est Dominus (Psalms 17:19-20) | +9 weeks | |
| 3rd Sunday after Pentecost | Respice in me (Psalms 24:16 & 18) | +10 weeks | |
| 4th Sunday after Pentecost | Dominus illuminatio mea (Psalms 26:1-2) | +11 weeks | |
| 5th Sunday after Pentecost | Exaudi Domine (Psalms 26:7 & 9) | +12 weeks | |
| 6th Sunday after Pentecost | Dominus fortitudo (Psalms 27:8-9) | +13 weeks | |
| 7th Sunday after Pentecost | Omnes gentes (Psalms 46:2) | +14 weeks | |
| 8th Sunday after Pentecost | Suscepimus Deus (Psalms 47:10-11) | +15 weeks | |
| 9th Sunday after Pentecost | Ecce Deus adjuvat (Psalms 53:6-7) | +16 weeks | |
| 10th Sunday after Pentecost | Cum clamarem (Psalms 54:17-18, 20 & 23) | +17 weeks | |
| 11th Sunday after Pentecost | Deus in loco sancto (Psalms 67:6-7 & 36) | +18 weeks | |
| 12th Sunday after Pentecost | Deus in adjutorium (Psalms 69:2-3) | +19 weeks | |
| 13th Sunday after Pentecost | Respice Domine (Psalms 73:20, 19 & 23) | +20 weeks | |
| 14th Sunday after Pentecost | Protector noster (Psalms 83:10-11) | +21 weeks | |
| 15th Sunday after Pentecost | Inclina Domine (Psalms 85:1-3) | +22 weeks | |
| 16th Sunday after Pentecost | Miserere mihi Domine (Psalms 85:3 & 5) | +23 weeks | |
| 17th Sunday after Pentecost | Justus es Domine (Psalms 118:137 & 124) | +24 weeks | |
| 18th Sunday after Pentecost | Da pacem Domine (Ecclesiastes 36:18) | +25 weeks | |
| 19th Sunday after Pentecost | Salus populi (non-scriptural + Psalms 77:1) | +26 weeks | |
| 20th Sunday after Pentecost | Omnia quae fecisti (Daniel 3:31, 29 & 35) | +27 weeks | |
| 21st Sunday after Pentecost | In voluntate tua (Esther 13:9-11) | +28 weeks | |
| 22nd Sunday after Pentecost | Si iniquitates observaveris (Psalms 129:3-4) | +29 weeks | |
| 23rd Sunday after Pentecost | Dicit Dominus (Jeremiah 29:11-12 & 14) | +30 weeks | |
| 24th Sunday after Pentecost | Dicit Dominus (Jeremiah 29:11-12 & 14) | +31 weeks | |
| 25th Sunday after Pentecost | Dicit Dominus (Jeremiah 29:11-12 & 14) | +32 weeks | |
| 26th Sunday after Pentecost | Dicit Dominus (Jeremiah 29:11-12 & 14) | +33 weeks | |
| 27th Sunday after Pentecost | Dicit Dominus (Jeremiah 29:11-12 & 14) | +34 weeks | |
| 28th Sunday after Pentecost | Dicit Dominus (Jeremiah 29:11-12 & 14) | +35 weeks |
| Feast day | Antiphona ad Introitum [Vulgate numbering] | Defined as | Sundays after Easter | Date |
| 1st Sunday of Advent | Ad te levavi (Psalms 24:1-3) | Nearest Sunday to 30 November | ||
| 2nd Sunday of Advent | Populus Sion (Isaiah 30:30) | Sunday after 1st Sunday of Advent | ||
| 3rd Sunday of Advent | Gaudete (Philippians 4:4-6) | 2nd Sunday after 1st Sunday of Advent | ||
| Ember Wednesday in Advent | Rorate coeli (Isaiah 45:8) | Wednesday before last Sunday of Advent | | |
| Ember Friday in Advent | Prope esto (Psalms 118:151-152) | Friday before last Sunday of Advent | | |
| Ember Saturday in Advent | Veni et ostende (Psalms 79:4 & 2) | Saturday before last Sunday of Advent | | |
| 4th Sunday of Advent | Memento nostri (Psalms 105:4) | Last Sunday of Advent | ||
| Sunday in Christmas Octave | Dum medium silentium (Wisdom 18:14-15) | First Sunday after Advent |
Easter First Advent Sunday Intervals
First Advent Sunday is defined as the fourth Sunday before Christmas and formally starts the annual cycle of Christian feast days celebrating the birth and passion of Jesus Christ. During a complete 5 700 000-year Gregorian Easter Cycle the number of weeks between Easter Sunday and First Advent Sunday are distributed as follows:
| Weeks | Frequency | % | Easter Sunday |
| 31 | 124650 | 2.187 | 24 25 April |
| 32 | 1206775 | 21.171 | 17 23 April |
| 33 | 1330000 | 23.333 | 10 16 April |
| 34 | 1330000 | 23.333 | 3 9 April |
| 35 | 1302450 | 22.850 | 27 March 2 April |
| 36 | 406125 | 7.125 | 22 26 March |
The shortest interval of 31 weeks only occurs when Easter Sunday falls on 24 or 25 April. Since the introduction of the Gregorian calendar this has occurred in 1639, 1666, 1707, 1734, 1791, 1859, 1886, 1943 and 2011. The next occurrences (up to 2500) will be in 2038, 2095, 2163, 2190, 2231, 2258, 2326, 2383, 2410, 2467 and 2478.
The longest interval of 36 weeks occurs when Easter Sunday falls on 22, 23, 24, 25 or 26 March. During the past two centuries this has occurred in 1815, 1818, 1826, 1837, 1845, 1856, 1883, 1894, 1913, 1940, 1951, 1967, 1978, 1989 and 2008. The next occurrences (up to 2100) will be in 2035, 2046, 2062, 2073 and 2084.
Leap Day Coincidences
Occasionally, one of the Christian feast days in or just before the Lenten season can fall on the leap day in February. From a liturgical point of view, this does not heighten or modify the character of the event but from a calendrical point of view it may be useful to single these out.
The following table lists these coincidences in the Dionysian/Julian reckoning (years from 532 to 1582) and in the Gregorian reckoning (years from 1583 to 5000) assuming that the leap day is reckoned as the last day in February (29 February).
| Coincidences with 29 February (a.d. pridie kal. Martias) | ||||
| Feast Day | Dionysian | Gregorian | DominicalLetter | EasterSunday |
| Sexagesima Sunday | 672, 1204 | 3784, 4088, 4156, 4224, 4376, 4528, 4680, 4748 | DC | 25 April |
| Shrove Sunday | 588, 868, 952, 1036, 1120, 1400, 1484, 1568 | 1604, 1688, 1756, 1824, 1976, 2060, 2128, 2280, 2348, 2432, 2584, 2652, 2720, 2804, 2888, 2956, 3024, 3176, 3260, 3328, 3480, 3548, 3632, 3852, 3920, 4004, 4860 | DC | 18 April |
| Ash Wednesday | 624, 708, 792, 876, 1156, 1240, 1324, 1408 | 2096, 2468, 2688, 2840, 2992, 3212, 3296, 3364, 3432, 3584, 3668, 3736, 3804, 3888, 3956, 4040, 4108, 4192, 4260, 4328, 4412, 4496, 4564, 4632, 4784, 4868, 4936 | AG | 15 April |
| Quadragesima Sunday | 532, 616, 700, 784, 980, 1064, 1148, 1232, 1316, 1512 | 1632, 1784, 1852, 2004, 2088, 2156, 2224, 2376, 2460, 2528, 2680, 2748, 2832, 2984, 3052, 3120, 3204, 3288, 3356, 3424, 3576, 3660, 3728, 3880, 3948, 4032, 4184, 4252, 4320, 4404, 4488, 4556, 4624, 4776, 4928 | DC | 11 April |
| 2nd Sunday in Lent | 644, 728, 812, 896, 1176, 1260, 1344, 1428 | 1920, 2488, 2860, 3232, 3384, 3452, 3604, 3688, 3756, 3824, 3976, 4060, 4128, 4280, 4348, 4432, 4584, 4652, 4720, 4804, 4888, 4956 | DC | 4 April |
| Oculi Sunday | 560, 756, 840, 924, 1008, 1092, 1288, 1372, 1456, 1540 | 1660, 1728, 1880, 1948, 2032, 2184, 2252, 2320, 2404, 2556, 2624, 2776, 2928, 3080, 3148, 3520, 4460, 4832, 4984 | DC | 28 March |
The following table lists these coincidences in the Dionysian/Julian reckoning (years from 532 to 1582) and in the Gregorian reckoning (years from 1583 to 5000) assuming that the leap day is reckoned as in the traditional Roman calendar (24 February).
| Coincidences with 24 February (a.d. bis VI kal. Martias) | ||||
| Feast Day | Dionysian | Gregorian | DominicalLetter | EasterSunday |
| Sexagesima Sunday | 648, 732, 816, 900, 1180, 1264, 1348, 1432 | 1924, 2864, 3236, 3388, 3456, 3608, 3692, 3760, 3828, 3980, 4064, 4132, 4284, 4352, 4436, 4504, 4588, 4656, 4724, 4808, 4892, 4960 | FE | 20 April |
| Shrove Sunday | 564, 844, 928, 1012, 1096, 1376, 1460, 1544 | 1664, 1732, 1884, 1952, 2036, 2104, 2188, 2256, 2324, 2408, 2492, 2560, 2628, 2780, 2932, 3084, 3152, 3304, 3524, 4464, 4836, 4988 | FE | 13 April |
| Ash Wednesday | 600, 684, 768, 852, 1132, 1216, 1300, 1384 | 2072, 2292, 2444, 2596, 2664, 2816, 2968, 3036, 3188, 3272, 3340, 3408, 3492, 3560, 3644, 3712, 3796, 3864, 3932, 4016, 4168, 4236, 4304, 4388, 4472, 4540, 4608, 4692, 4760, 4844, 4912, 4996 | CB | 10 April |
| Quadragesima Sunday | 592, 676, 760, 956, 1040, 1124, 1208, 1292, 1488, 1572 | 1608, 1692, 1760, 1828, 1980, 2064, 2132, 2284, 2352, 2436, 2504, 2588, 2656, 2724, 2808, 2892, 2960, 3028, 3180, 3264, 3332, 3484, 3552, 3636, 3704, 3788, 3856, 3924, 4008, 4092, 4160, 4228, 4380, 4532, 4684, 4752, 4904 | FE | 6 April |
| 2nd Sunday in Lent | 620, 704, 788, 872, 1152, 1236, 1320, 1404 | 2092, 2464, 2684, 2836, 2904, 2988, 3056, 3208, 3292, 3360, 3428, 3580, 3664, 3732, 3884, 3952, 4036, 4104, 4188, 4256, 4324, 4408, 4492, 4560, 4628, 4780, 4864, 4932 | FE | 30 March |
| Oculi Sunday | 536, 984, 1068, 1516 | 1636, 1704, 1788, 1856, 2008, 2160, 2228, 2380, 2532, 2752, 3124 | FE | 23 March |
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