Table II

The Day of the Week.

Month.

Dominical Letter.

Jan. Oct.

A

B

C

D

E

F

G

Feb. Mar. Nov.

D

E

F

G

A

B

C

April July

G

A

B

C

D

E

F

May

B

C

D

E

F

G

A

June

E

F

G

A

B

C

D

August

C

D

E

F

G

A

B

Sept. Dec.

F

G

A

B

C

D

E

1

8

15

22

29

Sun.

Sat

Frid.

Thur.

Wed.

Tues

Mon.

2

9

16

23

30

Mon.

Sun.

Sat.

Frid.

Thur.

Wed.

Tues.

3

10

17

24

31

Tues.

Mon.

Sun.

Sat.

Frid.

Thur.

Wed.

4

11

18

25

Wed.

Tues.

Mon.

Sun.

Sat.

Frid.

Thur.

5

12

19

26

Thur.

Wed.

Tues.

Mon.

Sun.

Sat.

Frid.

6

13

20

27

Frid.

Thur.

Wed.

Tues.

Mon.

Sun.

Sat.

7

14

21

28

Sat.

Frid.

Thur.

Wed.

Tues.

Mon.

Sun.

By means of the lunar cycle the new moons of the calendar were indicated before the Reformation. As the cycle restores these phenomena to the same days of the civil month, they will fall on the same days in any two years which occupy the same place in the cycle; consequently a table of the moon's phases for 19 years will serve for any year whatever when we know its number in the cycle. This number is called the Golden Number, either because it was so termed by the Greeks, or because it was usual to mark it with red letters in the calendar. The Golden Numbers were introduced into the calendar about the year 530, but disposed as they would have been if they had been inserted at the time of the council of Nicaea. The cycle is supposed to commence with the year in which the new moon falls on the 1st of January, which took place the year preceding the commencement of our era. Hence, to find the Golden Number N, for any year x, we have N = ((x + 1) / 19), which gives the following rule: Add 1 to the date, divide the sum by 19; the quotient is the number of cycles elapsed, and the remainder is the Golden Number. When the remainder is 0, the proposed year is of course the last or 19th of the cycle.

It ought to be remarked that the new moons, determined in this manner, may differ from the astronomical new moons sometimes as much as two days. The reason is that the sum of the solar and lunar inequalities, which are compensated in the whole period, may amount in certain cases to 10°, and thereby cause the new moon to arrive on the second day before or after its mean time.