Tabula Noviluniorum

In the city of Rome, 1588, Christopher Clavius published a table of ecclesiastical new moons in his book NOVI CALENDARII ROMANI APOLOGIA. The rows contained all possible Gregorian epacts, while the columns displayed all of the months of the year. At each intersection one could determine the month and date where the new moon was to occur for each given epact. Of particular note was the fact that there could be up to two new moons, while in other months, such as the month of February (epact 0) there would be no new moon. As opposed to the original table used prior to this publication, there are two differences: rows with the normal epact of 25 and the special epact of 25 (i.e. Golden number greater than 11, where the ecclesiastical full moon was formerly situated) are swapped. Another change is at the intersection of the Special Epact 25 row and the July column. Here, the numbers 2 and 31 are inserted into this cell, because this epact is also written on 31 July in the original Calendarium Gregorianum table (alongside epact 26). Surprisingly, there is only the epact number 2 in the original table, so one new moon simply fell off.

Important to note are the newer new moons for the days 8 to 31, and the April new moons for days 1 to 5, which are highlighted. 13 days after these new moons, an ecclesiastical full moon occurs (i.e. between 21 March and 18 April), with the next Sunday after this full moon being Easter Sunday.

Instructions for use:

Find the Gregorian epact for a given year (e.g. by using the page Chronological Cycles).
In the line with the epact, all cyclic new moons in a given year are listed.

Calendarium Gregorianum

For example, 2015 has an epact of 10, the first ecclesiastical new moon of the year is 21 January (technically, 20 January), followed by 19 February (this is precise), and so on until the last ecclesiastical new moon of 2015 on 11 December (again, precisely). Actual and ecclesiastical new moons can vary by up to two days.

Epact	Jan	Feb	Mar	Apr	May	Jun	Jul	Aug	Sep	Oct	Nov	Dec
0	1,31		1,31	29	29	27	27	25	24	23	22	21
29	2	1	2	1,30	30	28	28	26	25	24	23	22
28	3	2	3	2	1,31	29	29	27	26	25	24	23
27	4	3	4	3	2	1,30	30	28	27	26	25	24
26	5	4	5	4	3	2	1,31	29	28	27	26	25
25	6	4	6	4	4	2	2,31	30	28	28	26	26
25	6	5	6	5	4	3	2	1,30	29	28	27	26
24	7	5	7	5	5	3	3	1,31	29	29	27	27
23	8	6	8	6	6	4	4	2	1,30	30	28	28
22	9	7	9	7	7	5	5	3	2	1,31	29	29
21	10	8	10	8	8	6	6	4	3	2	1,30	30
20	11	9	11	9	9	7	7	5	4	3	2	1,31
19	12	10	12	10	10	8	8	6	5	4	3	2,(31)
18	13	11	13	11	11	9	9	7	6	5	4	3
17	14	12	14	12	12	10	10	8	7	6	5	4
16	15	13	15	13	13	11	11	9	8	7	6	5
15	16	14	16	14	14	12	12	10	9	8	7	6
14	17	15	17	15	15	13	13	11	10	9	8	7
13	18	16	18	16	16	14	14	12	11	10	9	8
12	19	17	19	17	17	15	15	13	12	11	10	9
11	20	18	20	18	18	16	16	14	13	12	11	10
10	21	19	21	19	19	17	17	15	14	13	12	11
9	22	20	22	20	20	18	18	16	15	14	13	12
8	23	21	23	21	21	19	19	17	16	15	14	13
7	24	22	24	22	22	20	20	18	17	16	15	14
6	25	23	25	23	23	21	21	19	18	17	16	15
5	26	24	26	24	24	22	22	20	19	18	17	16
4	27	25	27	25	25	23	23	21	20	19	18	17
3	28	26	28	26	26	24	24	22	21	20	19	18
2	29	27	29	27	27	25	25	23	22	21	20	19
1	30	28	30	28	28	26	26	24	23	22	21	20

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Tabula Noviluniorum

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