## Rectified Hebrew Calendar Dates (5765-6000) Difference (in days) from the Traditional Hebrew Calendar

Rectified 130/353 leap cycle, Δ=138, Progressive Molad

In the present era, the traditional Hebrew calendar inserts its leap month one year earlier than the rectified Hebrew calendar in years 8, 11, and 19 of each 19-year leap cycle, and starting in Hebrew year 5817 year 3 of 19 will be permanently added to that list. All of these mentioned years are leap years. When that happens, the traditional calendar runs one month behind the rectified from Nisan until the next Nisan.

Thus presently the proportion of all traditional Hebrew months that run a month behind the rectified calendar is given by the ratio of the number of months in those 3 leap years to the number of months in all other years per 19-year cycle:

= ( 3 × 13 ) / [ ( 4 × 13 ) + ( 12 × 12 ) ] = 39/196 = almost 20% of months

Starting in Hebrew year 5817 that proportion will increase to include another leap year in the numerator and remove a leap year from the denominator:

= ( 4 × 13 ) / [ ( 3 × 13 ) + ( 12 × 12 ) ] = 52/183 = more than 28% of months

In the month-by-month and year-by-year listing below, months in which the two calendars agree on their starting dates are shown in yellow cells containing the number 0 (zero days difference).

When the two calendars agree on the month but not on the starting day for the month, the cell is shown with a white background and contains a small number, where positive values means traditional ahead of rectified and negative values mean traditional behind rectified. These small differences arise when the two calendars disagree on the Rosh HaShanah postponement, usually due to their leap year differences but occasionally due to their molad differences.

When the two calendar disagree on the month, as happens from Nisan of years 8, 11 and 19 of the 19-year cycle (and soon also year 3) until the following Nisan, the cell has a white background and contains a two-digit negative number ranging from -28 to -32, indicating that during that month the traditional calendar will lag a month behind the rectified.

The last matching month, after which the traditional Hebrew calendar dates will be permanently at least one month behind the rectified Hebrew calendar, will be Adar 11094.

#/19 = Year number within the traditional 19-year leap cycle, #/353 = Year number within the 353-year rectified leap cycle.

13=Adar Sheini, 1=Nisan, 2=Iyar, 3=Sivan, 4=Tammuz, 5=Av, 6=Elul

Codes for Adar Sheini: R=Only Rectified Leap, T=Only Traditional Leap, X=Both Agree Non-Leap Year, 0=Both Agree on Adar Sheini Date, any other number means both agree it is Adar Sheini but they differ by that number of days.

Year #/19 #/353 7 8 9 10 11 12 13 1 2 3 4 5 6
5765 8 117 0 0 0 +1 +1 +1 T -29 -29 -29 -29 -29 -29
5766 9 118 -29 -29 -29 -30 -30 -30 R 0 0 0 0 0 0
5767 10 119 0 0 0 0 0 0 X 0 0 0 0 0 0
5768 11 120 0 0 0 +1 +1 +1 T -29 -29 -29 -29 -29 -29
5769 12 121 -29 -29 -29 -30 -30 -30 R 0 0 0 0 0 0
5770 13 122 0 0 0 0 0 0 X 0 0 0 0 0 0
5771 14 123 0 0 0 0 0 0 0 0 0 0 0 0 0
5772 15 124 0 0 0 0 0 0 X 0 0 0 0 0 0
5773 16 125 0 0 0 0 0 0 X 0 0 0 0 0 0
5774 17 126 0 0 0 0 0 0 0 0 0 0 0 0 0
5775 18 127 0 0 0 0 0 0 X 0 0 0 0 0 0
5776 19 128 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5777 1 129 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5778 2 130 0 0 0 0 0 0 X 0 0 0 0 0 0
5779 3 131 0 0 0 0 0 0 0 0 0 0 0 0 0
5780 4 132 0 0 0 0 0 0 X 0 0 0 0 0 0
5781 5 133 0 0 0 0 0 0 X 0 0 0 0 0 0
5782 6 134 0 0 0 0 0 0 0 0 0 0 0 0 0
5783 7 135 0 0 0 0 0 0 X 0 0 0 0 0 0
5784 8 136 0 0 +1 +2 +2 +2 T -28 -28 -28 -28 -28 -28
5785 9 137 -28 -28 -29 -30 -30 -30 R 0 0 0 0 0 0
5786 10 138 0 0 0 0 0 0 X 0 0 0 0 0 0
5787 11 139 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5788 12 140 -30 -30 -31 -32 -32 -32 R -2 -2 -2 -2 -2 -2
5789 13 141 -2 -2 -2 -2 -2 -2 X -2 -2 -2 -2 -2 -2
5790 14 142 -2 -2 -1 0 0 0 0 0 0 0 0 0 0
5791 15 143 0 0 0 0 0 0 X 0 0 0 0 0 0
5792 16 144 0 0 0 0 0 0 X 0 0 0 0 0 0
5793 17 145 0 0 0 0 0 0 0 0 0 0 0 0 0
5794 18 146 0 0 0 0 0 0 X 0 0 0 0 0 0
5795 19 147 0 0 -1 -1 -1 -1 T -31 -31 -31 -31 -31 -31
5796 1 148 -31 -31 -30 -30 -30 -30 R 0 0 0 0 0 0
5797 2 149 0 0 0 0 0 0 X 0 0 0 0 0 0
5798 3 150 0 0 0 0 0 0 0 0 0 0 0 0 0
5799 4 151 0 0 0 0 0 0 X 0 0 0 0 0 0
5800 5 152 0 0 0 0 0 0 X 0 0 0 0 0 0
5801 6 153 0 0 0 0 0 0 0 0 0 0 0 0 0
5802 7 154 0 0 0 0 0 0 X 0 0 0 0 0 0
5803 8 155 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5804 9 156 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5805 10 157 0 0 -1 -1 -1 -1 X -1 -1 -1 -1 -1 -1
5806 11 158 -1 -1 0 0 0 0 T -30 -30 -30 -30 -30 -30
5807 12 159 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5808 13 160 0 0 0 0 0 0 X 0 0 0 0 0 0
5809 14 161 0 0 0 0 0 0 0 0 0 0 0 0 0
5810 15 162 0 0 0 0 0 0 X 0 0 0 0 0 0
5811 16 163 0 0 0 0 0 0 X 0 0 0 0 0 0
5812 17 164 0 0 0 0 0 0 0 0 0 0 0 0 0
5813 18 165 0 0 0 0 0 0 X 0 0 0 0 0 0
5814 19 166 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5815 1 167 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5816 2 168 0 0 0 0 0 0 X 0 0 0 0 0 0
5817 3 169 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5818 4 170 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5819 5 171 0 0 0 0 0 0 X 0 0 0 0 0 0
5820 6 172 0 0 0 0 0 0 0 0 0 0 0 0 0
5821 7 173 0 0 0 0 0 0 X 0 0 0 0 0 0
5822 8 174 0 0 -1 -1 -1 -1 T -31 -31 -31 -31 -31 -31
5823 9 175 -31 -31 -30 -30 -30 -30 R 0 0 0 0 0 0
5824 10 176 0 0 0 0 0 0 X 0 0 0 0 0 0
5825 11 177 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5826 12 178 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5827 13 179 0 0 0 0 0 0 X 0 0 0 0 0 0
5828 14 180 0 0 0 0 0 0 0 0 0 0 0 0 0
5829 15 181 0 0 0 0 0 0 X 0 0 0 0 0 0
5830 16 182 0 0 0 0 0 0 X 0 0 0 0 0 0
5831 17 183 0 0 0 0 0 0 0 0 0 0 0 0 0
5832 18 184 0 0 0 0 0 0 X 0 0 0 0 0 0
5833 19 185 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5834 1 186 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5835 2 187 0 0 +1 +2 +2 +2 X +2 +2 +2 +2 +2 +2
5836 3 188 +2 +2 +2 +2 +2 +2 T -28 -28 -28 -28 -28 -28
5837 4 189 -28 -28 -29 -30 -30 -30 R 0 0 0 0 0 0
5838 5 190 0 0 0 0 0 0 X 0 0 0 0 0 0
5839 6 191 0 0 0 0 0 0 0 0 0 0 0 0 0
5840 7 192 0 0 0 0 0 0 X 0 0 0 0 0 0
5841 8 193 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5842 9 194 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5843 10 195 0 0 0 0 0 0 X 0 0 0 0 0 0
5844 11 196 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5845 12 197 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5846 13 198 0 0 0 0 0 0 X 0 0 0 0 0 0
5847 14 199 0 0 0 0 0 0 0 0 0 0 0 0 0
5848 15 200 0 0 0 0 0 0 X 0 0 0 0 0 0
5849 16 201 0 0 0 0 0 0 X 0 0 0 0 0 0
5850 17 202 0 0 0 0 0 0 0 0 0 0 0 0 0
5851 18 203 0 0 0 0 0 0 X 0 0 0 0 0 0
5852 19 204 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5853 1 205 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5854 2 206 0 0 0 0 0 0 X 0 0 0 0 0 0
5855 3 207 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5856 4 208 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5857 5 209 0 0 0 0 0 0 X 0 0 0 0 0 0
5858 6 210 0 0 0 0 0 0 0 0 0 0 0 0 0
5859 7 211 0 0 0 0 0 0 X 0 0 0 0 0 0
5860 8 212 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5861 9 213 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5862 10 214 0 0 0 0 0 0 X 0 0 0 0 0 0
5863 11 215 0 0 0 +1 +1 +1 T -29 -29 -29 -29 -29 -29
5864 12 216 -29 -29 -29 -30 -30 -30 R 0 0 0 0 0 0
5865 13 217 0 0 0 0 0 0 X 0 0 0 0 0 0
5866 14 218 0 0 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2
5867 15 219 -2 -2 -2 -2 -2 -2 X -2 -2 -2 -2 -2 -2
5868 16 220 -2 -2 -1 0 0 0 X 0 0 0 0 0 0
5869 17 221 0 0 0 0 0 0 0 0 0 0 0 0 0
5870 18 222 0 0 0 0 0 0 X 0 0 0 0 0 0
5871 19 223 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5872 1 224 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5873 2 225 0 0 0 0 0 0 X 0 0 0 0 0 0
5874 3 226 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5875 4 227 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5876 5 228 0 0 0 0 0 0 X 0 0 0 0 0 0
5877 6 229 0 0 0 0 0 0 0 0 0 0 0 0 0
5878 7 230 0 0 0 0 0 0 X 0 0 0 0 0 0
5879 8 231 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5880 9 232 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5881 10 233 0 0 0 0 0 0 X 0 0 0 0 0 0
5882 11 234 0 0 +1 +2 +2 +2 T -28 -28 -28 -28 -28 -28
5883 12 235 -28 -28 -29 -30 -30 -30 R 0 0 0 0 0 0
5884 13 236 0 0 0 0 0 0 X 0 0 0 0 0 0
5885 14 237 0 0 0 0 0 0 0 0 0 0 0 0 0
5886 15 238 0 0 -1 -2 -2 -2 X -2 -2 -2 -2 -2 -2
5887 16 239 -2 -2 -2 -2 -2 -2 X -2 -2 -2 -2 -2 -2
5888 17 240 -2 -2 -1 0 0 0 0 0 0 0 0 0 0
5889 18 241 0 0 0 0 0 0 X 0 0 0 0 0 0
5890 19 242 0 0 0 +1 +1 +1 T -29 -29 -29 -29 -29 -29
5891 1 243 -29 -29 -29 -30 -30 -30 R 0 0 0 0 0 0
5892 2 244 0 0 0 0 0 0 X 0 0 0 0 0 0
5893 3 245 0 0 -1 -1 -1 -1 T -31 -31 -31 -31 -31 -31
5894 4 246 -31 -31 -30 -30 -30 -30 R 0 0 0 0 0 0
5895 5 247 0 0 0 0 0 0 X 0 0 0 0 0 0
5896 6 248 0 0 0 0 0 0 0 0 0 0 0 0 0
5897 7 249 0 0 0 0 0 0 X 0 0 0 0 0 0
5898 8 250 0 0 +1 +2 +2 +2 T -28 -28 -28 -28 -28 -28
5899 9 251 -28 -28 -29 -30 -30 -30 R 0 0 0 0 0 0
5900 10 252 0 0 0 0 0 0 X 0 0 0 0 0 0
5901 11 253 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5902 12 254 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5903 13 255 0 0 0 0 0 0 X 0 0 0 0 0 0
5904 14 256 0 0 0 0 0 0 0 0 0 0 0 0 0
5905 15 257 0 0 0 0 0 0 X 0 0 0 0 0 0
5906 16 258 0 0 0 0 0 0 X 0 0 0 0 0 0
5907 17 259 0 0 0 0 0 0 0 0 0 0 0 0 0
5908 18 260 0 0 0 0 0 0 X 0 0 0 0 0 0
5909 19 261 0 0 +1 +2 +2 +2 T -28 -28 -28 -28 -28 -28
5910 1 262 -28 -28 -29 -30 -30 -30 R 0 0 0 0 0 0
5911 2 263 0 0 0 0 0 0 X 0 0 0 0 0 0
5912 3 264 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5913 4 265 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5914 5 266 0 0 0 0 0 0 X 0 0 0 0 0 0
5915 6 267 0 0 0 0 0 0 0 0 0 0 0 0 0
5916 7 268 0 0 0 0 0 0 X 0 0 0 0 0 0
5917 8 269 0 0 0 +1 +1 +1 T -29 -29 -29 -29 -29 -29
5918 9 270 -29 -29 -29 -30 -30 -30 R 0 0 0 0 0 0
5919 10 271 0 0 0 0 0 0 X 0 0 0 0 0 0
5920 11 272 0 0 -1 -1 -1 -1 T -31 -31 -31 -31 -31 -31
5921 12 273 -31 -31 -30 -30 -30 -30 R 0 0 0 0 0 0
5922 13 274 0 0 0 0 0 0 X 0 0 0 0 0 0
5923 14 275 0 0 0 0 0 0 0 0 0 0 0 0 0
5924 15 276 0 0 0 0 0 0 X 0 0 0 0 0 0
5925 16 277 0 0 0 0 0 0 X 0 0 0 0 0 0
5926 17 278 0 0 0 0 0 0 0 0 0 0 0 0 0
5927 18 279 0 0 0 0 0 0 X 0 0 0 0 0 0
5928 19 280 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5929 1 281 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5930 2 282 0 0 0 0 0 0 X 0 0 0 0 0 0
5931 3 283 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5932 4 284 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5933 5 285 0 0 0 0 0 0 X 0 0 0 0 0 0
5934 6 286 0 0 0 0 0 0 0 0 0 0 0 0 0
5935 7 287 0 0 0 0 0 0 X 0 0 0 0 0 0
5936 8 288 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5937 9 289 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5938 10 290 0 0 0 0 0 0 X 0 0 0 0 0 0
5939 11 291 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5940 12 292 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5941 13 293 0 0 0 0 0 0 X 0 0 0 0 0 0
5942 14 294 0 0 0 0 0 0 0 0 0 0 0 0 0
5943 15 295 0 0 0 0 0 0 X 0 0 0 0 0 0
5944 16 296 0 0 0 0 0 0 X 0 0 0 0 0 0
5945 17 297 0 0 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2
5946 18 298 -2 -2 -1 0 0 0 X 0 0 0 0 0 0
5947 19 299 0 0 -1 -1 -1 -1 T -31 -31 -31 -31 -31 -31
5948 1 300 -31 -31 -30 -30 -30 -30 R 0 0 0 0 0 0
5949 2 301 0 0 -1 -2 -2 -2 X -2 -2 -2 -2 -2 -2
5950 3 302 -2 -2 -1 0 0 0 T -30 -30 -30 -30 -30 -30
5951 4 303 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5952 5 304 0 0 0 0 0 0 X 0 0 0 0 0 0
5953 6 305 0 0 0 0 0 0 0 0 0 0 0 0 0
5954 7 306 0 0 0 0 0 0 X 0 0 0 0 0 0
5955 8 307 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5956 9 308 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5957 10 309 0 0 0 0 0 0 X 0 0 0 0 0 0
5958 11 310 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5959 12 311 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5960 13 312 0 0 0 0 0 0 X 0 0 0 0 0 0
5961 14 313 0 0 0 0 0 0 0 0 0 0 0 0 0
5962 15 314 0 0 0 0 0 0 X 0 0 0 0 0 0
5963 16 315 0 0 0 0 0 0 X 0 0 0 0 0 0
5964 17 316 0 0 0 0 0 0 0 0 0 0 0 0 0
5965 18 317 0 0 0 0 0 0 X 0 0 0 0 0 0
5966 19 318 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5967 1 319 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5968 2 320 0 0 0 0 0 0 X 0 0 0 0 0 0
5969 3 321 0 0 +1 +2 +2 +2 T -28 -28 -28 -28 -28 -28
5970 4 322 -28 -28 -29 -30 -30 -30 R 0 0 0 0 0 0
5971 5 323 0 0 0 0 0 0 X 0 0 0 0 0 0
5972 6 324 0 0 0 0 0 0 0 0 0 0 0 0 0
5973 7 325 0 0 0 0 0 0 X 0 0 0 0 0 0
5974 8 326 0 0 -1 -1 -1 -1 T -31 -31 -31 -31 -31 -31
5975 9 327 -31 -31 -30 -30 -30 -30 R 0 0 0 0 0 0
5976 10 328 0 0 0 0 0 0 X 0 0 0 0 0 0
5977 11 329 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5978 12 330 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5979 13 331 0 0 0 0 0 0 X 0 0 0 0 0 0
5980 14 332 0 0 0 0 0 0 0 0 0 0 0 0 0
5981 15 333 0 0 0 0 0 0 X 0 0 0 0 0 0
5982 16 334 0 0 0 0 0 0 X 0 0 0 0 0 0
5983 17 335 0 0 0 0 0 0 0 0 0 0 0 0 0
5984 18 336 0 0 +1 +2 +2 +2 X +2 +2 +2 +2 +2 +2
5985 19 337 +2 +2 +2 +2 +2 +2 T -28 -28 -28 -28 -28 -28
5986 1 338 -28 -28 -29 -30 -30 -30 R 0 0 0 0 0 0
5987 2 339 0 0 0 0 0 0 X 0 0 0 0 0 0
5988 3 340 0 0 0 +1 +1 +1 T -29 -29 -29 -29 -29 -29
5989 4 341 -29 -29 -29 -30 -30 -30 R 0 0 0 0 0 0
5990 5 342 0 0 0 0 0 0 X 0 0 0 0 0 0
5991 6 343 0 0 0 0 0 0 0 0 0 0 0 0 0
5992 7 344 0 0 0 0 0 0 X 0 0 0 0 0 0
5993 8 345 0 0 0 0 0 0 T -30 -30 -30 -30 -30 -30
5994 9 346 -30 -30 -30 -30 -30 -30 R 0 0 0 0 0 0
5995 10 347 0 0 0 0 0 0 X 0 0 0 0 0 0
5996 11 348 0 0 +1 +2 +2 +2 T -28 -28 -28 -28 -28 -28
5997 12 349 -28 -28 -29 -30 -30 -30 R 0 0 0 0 0 0
5998 13 350 0 0 0 0 0 0 X 0 0 0 0 0 0
5999 14 351 0 0 0 0 0 0 0 0 0 0 0 0 0
6000 15 352 0 0 0 0 0 0 X 0 0 0 0 0 0

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