Once in a Blue Moon

In the following list, m is the month of first Blue Moon and n month of second Blue Moon. If m = 12, then the year refers to the second Blue Moon with the first Blue Moon occurring in December of the previous year.

Columns A to S show the Metonic cycle to which the year (modulo 19) belongs. Hence, E 05 means that (year mod 19) = 4, and this is the fifth Metonic cycle (5*19 = 95 years) since the first Double-Blue-Moon year with that letter.

```                                       Year modulo 19
----------------------------------------------------------------------------
YEAR  m n A   B   C   D   E   F   G   H   I   J   K   L   M   N   O   P   Q   R   S
--------------------------------------------------------------------------------------
1608  1 3                                                 M 00
1627  1 3                                                 M 01
1646  1 3                                                 M 02
1665  1 3                                                 M 03
1695 12 3                 E 00
1714 12 3                 E 01
1741  1 4                                                 M 07
1771  1 3                 E 04
1790  1 3                 E 05
1809  1 3                 E 06
1847  1 3                 E 08
1866  1 3                 E 09
1885  1 3                 E 10
1915  1 3                                                             P 00
1934 12 3                                                             P 01
1961  1 4                 E 14
1999  1 3                 E 16
2018  1 3                 E 17
2037  1 3                 E 18
2067 12 3                                                             P 08
2094  1 4                 E 21
2113  1 5                 E 22
2143  1 3                                                             P 12
2162  1 3                                                             P 13
2181  1 3                                                             P 14
2200  1 3                                                             P 15
2219  1 4                                                             P 16
2238  1 3                                                             P 17
2257  1 3                                                             P 18
2287 12 3                             H 00
2295  1 3                                                             P 20
2306 12 3                             H 01
2333  1 5                                                             P 22
2363  1 3                             H 04
2371  1 4                                                             P 24
2382  1 3                             H 05
2390  1 3                                                             P 25
2401 12 3                             H 06
2409  1 3                                                             P 26
2439 12 3                             H 08
2466  1 4                                                             P 29
2485  1 3                                                             P 30
2515  1 3                             H 12
2534  1 3                             H 13
2553  1 3                             H 14
2572  1 3                             H 15
2591  1 3                             H 16
2610  1 3                             H 17
2629  1 3                             H 18
2659 12 3                                                                         S 00
2686  1 4                             H 21
2705  1 5                             H 22
2735  1 3                                                                         S 04
2754  1 3                                                                         S 05
2773  1 3                                                                         S 06
2792  1 3                                                                         S 07
2811 12 3                                                                         S 08
2838  1 4                             H 29
2857  1 3                             H 30
2887  1 3                                                                         S 12
2906  1 3                                                                         S 13
2925  1 3                                                                         S 14
2944  1 3                                                                         S 15
2963  1 3                                                                         S 16
2982  1 3                                                                         S 17
3001  1 3                                                                         S 18
3031 12 3                                         K 00
3058  1 4                                                                         S 21
3077  1 3                                                                         S 22
3096  1 3                                                                         S 23
3107  1 3                                         K 04
3126  1 3                                         K 05
3145  1 3                                         K 06
3164  1 3                                         K 07
3183  1 3                                         K 08
3210  1 5                                                                         S 29
3229  1 3                                                                         S 30
3259  1 3                                         K 12
3278  1 3                                         K 13
3316  1 3                                         K 15
3335  1 3                                         K 16
3354  1 3                                         K 17
3373  1 3                                         K 18
3392  1 3                                         K 19
3403  1 3         C 00
3430  1 5                                         K 21
3449  1 3                                         K 22
3468  1 3                                         K 23
3487  1 3                                         K 24
3498 12 3         C 05
3517  1 3         C 06
3536  1 3         C 07
3555  1 3         C 08
3574 12 3         C 09
3601  1 3                                         K 30
3631  1 3         C 12
3650  1 3         C 13
3669 12 3         C 14
3707  1 3         C 16
3726  1 3         C 17
3745  1 3         C 18
3783  1 4         C 20
3821  1 3         C 22
3851  1 3                                                     N 00
3870  1 3                                                     N 01
3889 12 3                                                     N 02
3908  1 3                                                     N 03
3927  1 3                                                     N 04
3946  1 3                                                     N 05
3965  1 3                                                     N 06
3984  1 3                                                     N 07
4003  1 3                                                     N 08
4022  1 3                                                     N 09
4041 12 3                                                     N 10
4079  1 3                                                     N 12
4098  1 3                                                     N 13
4117  1 3                                                     N 14
4155  1 4                                                     N 16
4174  1 3                                                     N 17
4193  1 3                                                     N 18
4223  1 3                     F 00
4242  1 3                     F 01
4261 12 3                     F 02
4318  1 3                     F 05
4337  1 3                     F 06
4375  1 3                     F 08
4394  1 3                     F 09
4413 12 3                     F 10
4451  1 3                     F 12
4470  1 3                     F 13
4489  1 3                     F 14
4519 12 3                                                                 Q 00
4546  1 3                     F 17
4565  1 3                     F 18
4584  1 3                     F 19
4595 12 3                                                                 Q 04
4614  1 3                                                                 Q 05
4633 12 3                                                                 Q 06
4671 12 3                                                                 Q 08
4698  1 4                     F 25
4709  1 3                                                                 Q 10
4739 12 3                                 I 00
4766  1 3                                                                 Q 13
4785  1 3                                                                 Q 14
4823  1 3                                                                 Q 16
4842  1 3                                                                 Q 17
4861  1 3                                                                 Q 18
4880  1 3                                                                 Q 19
4899  1 3                                                                 Q 20
4918  1 4                                                                 Q 21
4937  1 3                                                                 Q 22
4967  1 3                                 I 12
4986 12 3                                 I 13
5005  1 3                                 I 14
5043  1 3                                 I 16
5062  1 3                                 I 17
5081  1 3                                 I 18
5100  1 3                                 I 19
5111 12 3 A 00
5138  1 4                                 I 21
5157  1 3                                 I 22
5176  1 3                                 I 23
5195  1 3                                 I 24
5214  1 3                                 I 25
5233  1 3                                 I 26
5271  1 3                                 I 28
5290  1 3                                 I 29
5309  1 3                                 I 30
5339  1 3 A 12
5358 12 3 A 13
5385  1 4                                 I 34
5415  1 3 A 16
5434  1 3 A 17
5453  1 3 A 18
5472  1 3 A 19
5491  1 3 A 20
5510  1 5 A 21
5529  1 3 A 22
5548  1 3 A 23
5559  1 3                                             L 00
5567  1 3 A 24
5578 12 3                                             L 01
5586  1 3 A 25
5605  1 3 A 26
5643  1 4 A 28
5662  1 3 A 29
5681  1 3 A 30
5700  1 3 A 31
5711  1 3                                             L 08
5730  1 3                                             L 09
5757  1 5 A 34
5795  1 4 A 36
5806  1 3                                             L 13
5825  1 3                                             L 14
5863  1 4                                             L 16
5882  1 3                                             L 17
5901  1 3                                             L 18
5931  1 3             D 00
5950  1 3             D 01
5969 12 3             D 02
5977  1 4                                             L 22
6015  1 5                                             L 24
6034  1 3                                             L 25
6053  1 3                                             L 26
6083 12 3             D 08
6102  1 3             D 09
6121 12 3             D 10
6159  1 3             D 12
6178  1 3             D 13
6197  1 3             D 14
6235  1 4             D 16
6254  1 3             D 17
6273  1 3             D 18
6292  1 3             D 19
6303  1 3                                                         O 00
6322  1 3                                                         O 01
6341 12 3                                                         O 02
6387  1 5             D 24
6406  1 3             D 25
6425  1 3             D 26
6455  1 3                                                         O 08
6482  1 4             D 29
6531  1 3                                                         O 12
6550  1 3                                                         O 13
6569  1 3                                                         O 14
6588  1 3                                                         O 15
6607  1 5                                                         O 16
6626  1 3                                                         O 17
6645  1 3                                                         O 18
6675  1 3                         G 00
6713 12 3                         G 02
6751  1 3                         G 04
6770  1 3                         G 05
6778  1 4                                                         O 25
6789  1 3                         G 06
6797  1 3                                                         O 26
6808  1 3                         G 07
6827  1 3                         G 08
6846 12 3                         G 09
6873  1 4                                                         O 30
6892  1 3                                                         O 31
6903  1 3                         G 12
6922  1 3                         G 13
6941  1 3                         G 14
6960  1 3                         G 15
6979  1 3                         G 16
6998  1 3                         G 17
7017  1 3                         G 18
7047  1 3                                                                     R 00
7066 12 3                                                                     R 01
7093  1 4                         G 22
7123  1 3                                                                     R 04
7142  1 3                                                                     R 05
7161  1 3                                                                     R 06
7180  1 3                                                                     R 07
7199  1 3                                                                     R 08
7218 12 3                                                                     R 09
7245  1 5                         G 30
7275  1 3                                                                     R 12
7294  1 3                                                                     R 13
7313  1 3                                                                     R 14
7351  1 3                                                                     R 16
7370  1 3                                                                     R 17
7389  1 3                                                                     R 18
7419  1 3                                     J 00
7438  1 3                                     J 01
7465  1 4                                                                     R 22
7514  1 3                                     J 05
7533  1 3                                     J 06
7571  1 3                                     J 08
7590  1 3                                     J 09
7617  1 5                                                                     R 30
7647  1 3                                     J 12
7666  1 3                                     J 13
7685  1 3                                     J 14
7723  1 4                                     J 16
7742  1 3                                     J 17
7761  1 3                                     J 18
7791 12 3     B 00
7810  1 3     B 01
7829 12 3     B 02
7867  1 3     B 04
7886  1 3     B 05
7905  1 3     B 06
7943  1 4     B 08
7962  1 3     B 09
7981  1 3     B 10
8019  1 3     B 12
8038  1 3     B 13
8057  1 3     B 14
8076  1 3     B 15
8095  1 3     B 16
8114  1 3     B 17
8133  1 3     B 18
8163  1 3                                                 M 00
8190  1 4     B 21
8201 12 3                                                 M 02
8239  1 3                                                 M 04
8258  1 3                                                 M 05
8277  1 3                                                 M 06
8296  1 3                                                 M 07
8315  1 5                                                 M 08
8334  1 3                                                 M 09
8353  1 3                                                 M 10
8372  1 3                                                 M 11
8383  1 3                 E 00
8391  1 3                                                 M 12
8410  1 3                                                 M 13
8429  1 3                                                 M 14
8448  1 3                                                 M 15
8467  1 3                                                 M 16
8486  1 3                                                 M 17
8505  1 3                                                 M 18
8535  1 3                 E 08
8554 12 3                 E 09
8581  1 4                                                 M 22
8600  1 5                                                 M 23
8611  1 3                 E 12
8630  1 3                 E 13
8649  1 3                 E 14
8668  1 3                 E 15
8687  1 3                 E 16
8706  1 3                 E 17
8725  1 3                 E 18
8755  1 3                                                             P 00
8774 12 3                                                             P 01
8801  1 3                 E 22
8820  1 3                 E 23
8839  1 3                 E 24
8858  1 3                 E 25
8877  1 3                 E 26
8907  1 3                                                             P 08
8926 12 3                                                             P 09
8953  1 5                 E 30
8983  1 3                                                             P 12
9002  1 3                                                             P 13
9021  1 3                                                             P 14
9059  1 3                                                             P 16
9078  1 3                                                             P 17
9097  1 3                                                             P 18
9127  1 3                             H 00
9146  1 3                             H 01
9173  1 4                                                             P 22
9211  1 4                                                             P 24
9230  1 3                                                             P 25
9249  1 3                                                             P 26
9279 12 3                             H 08
9355  1 3                             H 12
9374  1 3                             H 13
9393  1 3                             H 14
9431  1 4                             H 16
9450  1 3                             H 17
9469  1 3                             H 18
9499  1 3                                                                         S 00
9518  1 3                                                                         S 01
9537 12 3                                                                         S 02
9575  1 3                                                                         S 04
9594  1 3                                                                         S 05
9602  1 3                             H 25
9613  1 3                                                                         S 06
9651  1 3                                                                         S 08
9678  1 5                             H 29
9697  1 3                             H 30
9727  1 3                                                                         S 12
9746  1 3                                                                         S 13
9765  1 3                                                                         S 14
9784  1 3                                                                         S 15
9803  1 5                                                                         S 16
9822  1 3                                                                         S 17
9841  1 3                                                                         S 18
9871  1 3                                         K 00
9890 12 3                                         K 01
9909  1 3                                         K 02
9947  1 3                                         K 04
9966  1 3                                         K 05
9985  1 3                                         K 06
```