Calendarium gregorianum

This table shows a medieval chronological aid, published in the book Explicatio, under the title of “CALENDARIUM GREGORIANUM”. The values of the epacts (which reflect the phases of the moon) are progressively written throughout the year, with an epact of 0 written for the 1st of January (technically, the concept of “zero” was not yet widespread during the Middle Ages, so the character * was used instead). On the very next day of 2 January, the epact 29 was written, followed by epact 28 on the day after that, and so on in this order. Since all the phases of the moon alternate in a cycle of approximately 29.5 days, the epacts (which were designed to correspond to moon phases) were likewise recorded in an alternating fashion, with their durations being either 30 or 29 days long. In this way, all 30 epacts span the 1st of January to the 30th of January, followed by a new cycle from the 31st of January to the 28th of February (i.e. for only 29 days). Epacts of 30 days are also inserted into the cycle where the 25th epact needed to go between where the epacts 26 and 24 actually exist. Thus, they were to take on this alternating pattern until the end of the year. Below you can see that the second column in the table is listed as let.day. These are the "letters of the day" (Latin: literae calendarum).

Take particular note of how the calendar dates from 8 March to 5 April are highlighted. On these days there must be a new moon, after which the first ecclesiastical full moon must occur within the next 13 days. Because of this, the ecclesiastical full moon can occur no earlier than on the 21st of March, or on the 18th of April at the latest. This makes for an important detail in the calculation of Easter Sunday.

An exceptionally rare situation occurs if a given year has a Golden Number of 19 and a Gregorian epact of 19 at the same time. For these years, we find a new moon for epact 19 on the 2nd of December. Since the nineteen-year long cycle of the Golden Number ends, we need to add the number 12 (Latin: saltus lunae) to this epact, in order to make the epact for the next year work itself out as 1. For this epact, the new moon is not until 30 January - in effect, one new moon fell off! To remedy this anomaly, another new moon is to be inserted on 31 December for epact 19. The last time this happened was in 1690, and it won’t happen again until 8511.

If necessary, on this table an epact with an earlier date of the cyclic full moon (i.e. a Golden Number greater than 11) will be written in (such as 25).

January
daylet.dayepact
1A0
2B29
3C28
4D27
5E26
6F25,25
7G24
8A23
9B22
10C21
11D20
12E19
13F18
14G17
15A16
16B15
17C14
18D13
19E12
20F11
21G10
22A9
23B8
24C7
25D6
26E5
27F4
28G3
29A2
30B1
31C0
February
daylet.dayepact
1D29
2E28
3F27
4G25,26
5A25,24
6B23
7C22
8D21
9E20
10F19
11G18
12A17
13B16
14C15
15D14
16E13
17F12
18G11
19A10
20B9
21C8
22D7
23E6
24F5
25G4
26A3
27B2
28C1
 
 
 
March
daylet.dayepact
1D0
2E29
3F28
4G27
5A26
6B25,25
7C24
8D23
9E22
10F21
11G20
12A19
13B18
14C17
15D16
16E15
17F14
18G13
19A12
20B11
21C10
22D9
23E8
24F7
25G6
26A5
27B4
28C3
29D2
30E1
31F0
April
daylet.dayepact
1G29
2A28
3B27
4C25,26
5D25,24
6E23
7F22
8G21
9A20
10B19
11C18
12D17
13E16
14F15
15G14
16A13
17B12
18C11
19D10
20E9
21F8
22G7
23A6
24B5
25C4
26D3
27E2
28F1
29G0
30A29
 
May
daylet.dayepact
1B28
2C27
3D26
4E25,25
5F24
6G23
7A22
8B21
9C20
10D19
11E18
12F17
13G16
14A15
15B14
16C13
17D12
18E11
19F10
20G9
21A8
22B7
23C6
24D5
25E4
26F3
27G2
28A1
29B0
30C29
31D28
June
daylet.dayepact
1E27
2F25,26
3G25,24
4A23
5B22
6C21
7D20
8E19
9F18
10G17
11A16
12B15
13C14
14D13
15E12
16F11
17G10
18A9
19B8
20C7
21D6
22E5
23F4
24G3
25A2
26B1
27C0
28D29
29E28
30F27
 
July
daylet.dayepact
1G26
2A25,25
3B24
4C23
5D22
6E21
7F20
8G19
9A18
10B17
11C16
12D15
13E14
14F13
15G12
16A11
17B10
18C9
19D8
20E7
21F6
22G5
23A4
24B3
25C2
26D1
27E0
28F29
29G28
30A27
31B25,26
August
daylet.dayepact
1C25,24
2D23
3E22
4F21
5G20
6A19
7B18
8C17
9D16
10E15
11F14
12G13
13A12
14B11
15C10
16D9
17E8
18F7
19G6
20A5
21B4
22C3
23D2
24E1
25F0
26G29
27A28
28B27
29C26
30D25,25
31E24
September
daylet.dayepact
1F23
2G22
3A21
4B20
5C19
6D18
7E17
8F16
9G15
10A14
11B13
12C12
13D11
14E10
15F9
16G8
17A7
18B6
19C5
20D4
21E3
22F2
23G1
24A0
25B29
26C28
27D27
28E25,26
29F25,24
30G23
 
October
daylet.dayepact
1A22
2B21
3C20
4D19
5E18
6F17
7G16
8A15
9B14
10C13
11D12
12E11
13F10
14G9
15A8
16B7
17C6
18D5
19E4
20F3
21G2
22A1
23B0
24C29
25D28
26E27
27F26
28G25,25
29A24
30B23
31C22
November
daylet.dayepact
1D21
2E20
3F19
4G18
5A17
6B16
7C15
8D14
9E13
10F12
11G11
12A10
13B9
14C8
15D7
16E6
17F5
18G4
19A3
20B2
21C1
22D0
23E29
24F28
25G27
26A25,26
27B25,24
28C23
29D22
30E21
 
December
daylet.dayepact
1F20
2G19
3A18
4B17
5C16
6D15
7E14
8F13
9G12
10A11
11B10
12C9
13D8
14E7
15F6
16G5
17A4
18B3
19C2
20D1
21E0
22F29
23G28
24A27
25B26
26C25,25
27D24
28E23
29F22
30G21
31A20,19