1
The claim
-360 -270 -180 -90 0 0 50 100 150 200 250 300 years since the calendar began days Day 1 has slipped through the seasons a whole season half a year a whole year 364 days, no correction 364 days, a day held every 294
1.24 days a year: how far a 364-day year falls behind the seasons
Enoch, Jubilees and the Qumran calendar scrolls hold that a year of 364 days — exactly 52 weeks — keeps time with the Sun and the seasons for ever (1 Enoch 74:12).
On its own it cannot. The seasons take 365.24 days; a 364-day year slips 1.24 days a year and walks all the way round the seasons in about 294 years.
Hold one day in every 294 and the slip disappears: the calendar never strays a day from the seasons.
2
Every calendar, tested
358-day year, a day held every 280 days: -5958.99 days per 1,000 years 358-day year, a day held every 281 days: -5963.57 days per 1,000 years 358-day year, a day held every 282 days: -5968.12 days per 1,000 years 358-day year, a day held every 283 days: -5972.64 days per 1,000 years 358-day year, a day held every 284 days: -5977.12 days per 1,000 years 358-day year, a day held every 285 days: -5981.58 days per 1,000 years 358-day year, a day held every 286 days: -5986.00 days per 1,000 years 358-day year, a day held every 287 days: -5990.39 days per 1,000 years 358-day year, a day held every 288 days: -5994.75 days per 1,000 years 358-day year, a day held every 289 days: -5999.08 days per 1,000 years 358-day year, a day held every 290 days: -6003.39 days per 1,000 years 358-day year, a day held every 291 days: -6007.66 days per 1,000 years 358-day year, a day held every 292 days: -6011.90 days per 1,000 years 358-day year, a day held every 293 days: -6016.11 days per 1,000 years 358-day year, a day held every 294 days: -6020.30 days per 1,000 years 358-day year, a day held every 295 days: -6024.45 days per 1,000 years 358-day year, a day held every 296 days: -6028.58 days per 1,000 years 358-day year, a day held every 297 days: -6032.68 days per 1,000 years 358-day year, a day held every 298 days: -6036.75 days per 1,000 years 358-day year, a day held every 299 days: -6040.80 days per 1,000 years 358-day year, a day held every 300 days: -6044.82 days per 1,000 years 358-day year, a day held every 301 days: -6048.81 days per 1,000 years 358-day year, a day held every 302 days: -6052.77 days per 1,000 years 358-day year, a day held every 303 days: -6056.71 days per 1,000 years 358-day year, a day held every 304 days: -6060.62 days per 1,000 years 358-day year, a day held every 305 days: -6064.51 days per 1,000 years 358-day year, a day held every 306 days: -6068.37 days per 1,000 years 358-day year, a day held every 307 days: -6072.20 days per 1,000 years 358-day year, a day held every 308 days: -6076.02 days per 1,000 years 359-day year, a day held every 280 days: -4955.40 days per 1,000 years 359-day year, a day held every 281 days: -4960.00 days per 1,000 years 359-day year, a day held every 282 days: -4964.56 days per 1,000 years 359-day year, a day held every 283 days: -4969.09 days per 1,000 years 359-day year, a day held every 284 days: -4973.59 days per 1,000 years 359-day year, a day held every 285 days: -4978.06 days per 1,000 years 359-day year, a day held every 286 days: -4982.49 days per 1,000 years 359-day year, a day held every 287 days: -4986.89 days per 1,000 years 359-day year, a day held every 288 days: -4991.27 days per 1,000 years 359-day year, a day held every 289 days: -4995.61 days per 1,000 years 359-day year, a day held every 290 days: -4999.93 days per 1,000 years 359-day year, a day held every 291 days: -5004.21 days per 1,000 years 359-day year, a day held every 292 days: -5008.46 days per 1,000 years 359-day year, a day held every 293 days: -5012.69 days per 1,000 years 359-day year, a day held every 294 days: -5016.88 days per 1,000 years 359-day year, a day held every 295 days: -5021.05 days per 1,000 years 359-day year, a day held every 296 days: -5025.19 days per 1,000 years 359-day year, a day held every 297 days: -5029.30 days per 1,000 years 359-day year, a day held every 298 days: -5033.39 days per 1,000 years 359-day year, a day held every 299 days: -5037.44 days per 1,000 years 359-day year, a day held every 300 days: -5041.47 days per 1,000 years 359-day year, a day held every 301 days: -5045.47 days per 1,000 years 359-day year, a day held every 302 days: -5049.45 days per 1,000 years 359-day year, a day held every 303 days: -5053.40 days per 1,000 years 359-day year, a day held every 304 days: -5057.32 days per 1,000 years 359-day year, a day held every 305 days: -5061.22 days per 1,000 years 359-day year, a day held every 306 days: -5065.09 days per 1,000 years 359-day year, a day held every 307 days: -5068.94 days per 1,000 years 359-day year, a day held every 308 days: -5072.76 days per 1,000 years 360-day year, a day held every 280 days: -3951.82 days per 1,000 years 360-day year, a day held every 281 days: -3956.43 days per 1,000 years 360-day year, a day held every 282 days: -3961.00 days per 1,000 years 360-day year, a day held every 283 days: -3965.54 days per 1,000 years 360-day year, a day held every 284 days: -3970.05 days per 1,000 years 360-day year, a day held every 285 days: -3974.53 days per 1,000 years 360-day year, a day held every 286 days: -3978.98 days per 1,000 years 360-day year, a day held every 287 days: -3983.40 days per 1,000 years 360-day year, a day held every 288 days: -3987.78 days per 1,000 years 360-day year, a day held every 289 days: -3992.14 days per 1,000 years 360-day year, a day held every 290 days: -3996.46 days per 1,000 years 360-day year, a day held every 291 days: -4000.76 days per 1,000 years 360-day year, a day held every 292 days: -4005.03 days per 1,000 years 360-day year, a day held every 293 days: -4009.26 days per 1,000 years 360-day year, a day held every 294 days: -4013.47 days per 1,000 years 360-day year, a day held every 295 days: -4017.65 days per 1,000 years 360-day year, a day held every 296 days: -4021.80 days per 1,000 years 360-day year, a day held every 297 days: -4025.92 days per 1,000 years 360-day year, a day held every 298 days: -4030.02 days per 1,000 years 360-day year, a day held every 299 days: -4034.09 days per 1,000 years 360-day year, a day held every 300 days: -4038.13 days per 1,000 years 360-day year, a day held every 301 days: -4042.14 days per 1,000 years 360-day year, a day held every 302 days: -4046.13 days per 1,000 years 360-day year, a day held every 303 days: -4050.09 days per 1,000 years 360-day year, a day held every 304 days: -4054.02 days per 1,000 years 360-day year, a day held every 305 days: -4057.93 days per 1,000 years 360-day year, a day held every 306 days: -4061.81 days per 1,000 years 360-day year, a day held every 307 days: -4065.67 days per 1,000 years 360-day year, a day held every 308 days: -4069.50 days per 1,000 years 361-day year, a day held every 280 days: -2948.23 days per 1,000 years 361-day year, a day held every 281 days: -2952.85 days per 1,000 years 361-day year, a day held every 282 days: -2957.44 days per 1,000 years 361-day year, a day held every 283 days: -2962.00 days per 1,000 years 361-day year, a day held every 284 days: -2966.52 days per 1,000 years 361-day year, a day held every 285 days: -2971.01 days per 1,000 years 361-day year, a day held every 286 days: -2975.47 days per 1,000 years 361-day year, a day held every 287 days: -2979.90 days per 1,000 years 361-day year, a day held every 288 days: -2984.30 days per 1,000 years 361-day year, a day held every 289 days: -2988.67 days per 1,000 years 361-day year, a day held every 290 days: -2993.00 days per 1,000 years 361-day year, a day held every 291 days: -2997.31 days per 1,000 years 361-day year, a day held every 292 days: -3001.59 days per 1,000 years 361-day year, a day held every 293 days: -3005.84 days per 1,000 years 361-day year, a day held every 294 days: -3010.06 days per 1,000 years 361-day year, a day held every 295 days: -3014.25 days per 1,000 years 361-day year, a day held every 296 days: -3018.41 days per 1,000 years 361-day year, a day held every 297 days: -3022.54 days per 1,000 years 361-day year, a day held every 298 days: -3026.65 days per 1,000 years 361-day year, a day held every 299 days: -3030.73 days per 1,000 years 361-day year, a day held every 300 days: -3034.78 days per 1,000 years 361-day year, a day held every 301 days: -3038.81 days per 1,000 years 361-day year, a day held every 302 days: -3042.80 days per 1,000 years 361-day year, a day held every 303 days: -3046.78 days per 1,000 years 361-day year, a day held every 304 days: -3050.72 days per 1,000 years 361-day year, a day held every 305 days: -3054.64 days per 1,000 years 361-day year, a day held every 306 days: -3058.53 days per 1,000 years 361-day year, a day held every 307 days: -3062.40 days per 1,000 years 361-day year, a day held every 308 days: -3066.24 days per 1,000 years 362-day year, a day held every 280 days: -1944.65 days per 1,000 years 362-day year, a day held every 281 days: -1949.28 days per 1,000 years 362-day year, a day held every 282 days: -1953.88 days per 1,000 years 362-day year, a day held every 283 days: -1958.45 days per 1,000 years 362-day year, a day held every 284 days: -1962.99 days per 1,000 years 362-day year, a day held every 285 days: -1967.49 days per 1,000 years 362-day year, a day held every 286 days: -1971.96 days per 1,000 years 362-day year, a day held every 287 days: -1976.41 days per 1,000 years 362-day year, a day held every 288 days: -1980.82 days per 1,000 years 362-day year, a day held every 289 days: -1985.20 days per 1,000 years 362-day year, a day held every 290 days: -1989.54 days per 1,000 years 362-day year, a day held every 291 days: -1993.86 days per 1,000 years 362-day year, a day held every 292 days: -1998.15 days per 1,000 years 362-day year, a day held every 293 days: -2002.41 days per 1,000 years 362-day year, a day held every 294 days: -2006.64 days per 1,000 years 362-day year, a day held every 295 days: -2010.85 days per 1,000 years 362-day year, a day held every 296 days: -2015.02 days per 1,000 years 362-day year, a day held every 297 days: -2019.17 days per 1,000 years 362-day year, a day held every 298 days: -2023.28 days per 1,000 years 362-day year, a day held every 299 days: -2027.37 days per 1,000 years 362-day year, a day held every 300 days: -2031.44 days per 1,000 years 362-day year, a day held every 301 days: -2035.47 days per 1,000 years 362-day year, a day held every 302 days: -2039.48 days per 1,000 years 362-day year, a day held every 303 days: -2043.46 days per 1,000 years 362-day year, a day held every 304 days: -2047.42 days per 1,000 years 362-day year, a day held every 305 days: -2051.35 days per 1,000 years 362-day year, a day held every 306 days: -2055.25 days per 1,000 years 362-day year, a day held every 307 days: -2059.13 days per 1,000 years 362-day year, a day held every 308 days: -2062.99 days per 1,000 years 363-day year, a day held every 280 days: -941.06 days per 1,000 years 363-day year, a day held every 281 days: -945.71 days per 1,000 years 363-day year, a day held every 282 days: -950.32 days per 1,000 years 363-day year, a day held every 283 days: -954.91 days per 1,000 years 363-day year, a day held every 284 days: -959.45 days per 1,000 years 363-day year, a day held every 285 days: -963.97 days per 1,000 years 363-day year, a day held every 286 days: -968.46 days per 1,000 years 363-day year, a day held every 287 days: -972.91 days per 1,000 years 363-day year, a day held every 288 days: -977.33 days per 1,000 years 363-day year, a day held every 289 days: -981.72 days per 1,000 years 363-day year, a day held every 290 days: -986.08 days per 1,000 years 363-day year, a day held every 291 days: -990.42 days per 1,000 years 363-day year, a day held every 292 days: -994.72 days per 1,000 years 363-day year, a day held every 293 days: -998.99 days per 1,000 years 363-day year, a day held every 294 days: -1003.23 days per 1,000 years 363-day year, a day held every 295 days: -1007.45 days per 1,000 years 363-day year, a day held every 296 days: -1011.63 days per 1,000 years 363-day year, a day held every 297 days: -1015.79 days per 1,000 years 363-day year, a day held every 298 days: -1019.92 days per 1,000 years 363-day year, a day held every 299 days: -1024.02 days per 1,000 years 363-day year, a day held every 300 days: -1028.09 days per 1,000 years 363-day year, a day held every 301 days: -1032.14 days per 1,000 years 363-day year, a day held every 302 days: -1036.16 days per 1,000 years 363-day year, a day held every 303 days: -1040.15 days per 1,000 years 363-day year, a day held every 304 days: -1044.12 days per 1,000 years 363-day year, a day held every 305 days: -1048.06 days per 1,000 years 363-day year, a day held every 306 days: -1051.98 days per 1,000 years 363-day year, a day held every 307 days: -1055.87 days per 1,000 years 363-day year, a day held every 308 days: -1059.73 days per 1,000 years 364-day year, a day held every 280 days: +62.52 days per 1,000 years 364-day year, a day held every 281 days: +57.86 days per 1,000 years 364-day year, a day held every 282 days: +53.23 days per 1,000 years 364-day year, a day held every 283 days: +48.64 days per 1,000 years 364-day year, a day held every 284 days: +44.08 days per 1,000 years 364-day year, a day held every 285 days: +39.55 days per 1,000 years 364-day year, a day held every 286 days: +35.05 days per 1,000 years 364-day year, a day held every 287 days: +30.59 days per 1,000 years 364-day year, a day held every 288 days: +26.15 days per 1,000 years 364-day year, a day held every 289 days: +21.75 days per 1,000 years 364-day year, a day held every 290 days: +17.38 days per 1,000 years 364-day year, a day held every 291 days: +13.03 days per 1,000 years 364-day year, a day held every 292 days: +8.72 days per 1,000 years 364-day year, a day held every 293 days: +4.44 days per 1,000 years 364-day year, a day held every 294 days: +0.18 days per 1,000 years 364-day year, a day held every 295 days: -4.04 days per 1,000 years 364-day year, a day held every 296 days: -8.24 days per 1,000 years 364-day year, a day held every 297 days: -12.41 days per 1,000 years 364-day year, a day held every 298 days: -16.55 days per 1,000 years 364-day year, a day held every 299 days: -20.66 days per 1,000 years 364-day year, a day held every 300 days: -24.75 days per 1,000 years 364-day year, a day held every 301 days: -28.81 days per 1,000 years 364-day year, a day held every 302 days: -32.84 days per 1,000 years 364-day year, a day held every 303 days: -36.84 days per 1,000 years 364-day year, a day held every 304 days: -40.82 days per 1,000 years 364-day year, a day held every 305 days: -44.77 days per 1,000 years 364-day year, a day held every 306 days: -48.70 days per 1,000 years 364-day year, a day held every 307 days: -52.60 days per 1,000 years 364-day year, a day held every 308 days: -56.47 days per 1,000 years 365-day year, a day held every 280 days: +1066.10 days per 1,000 years 365-day year, a day held every 281 days: +1061.43 days per 1,000 years 365-day year, a day held every 282 days: +1056.79 days per 1,000 years 365-day year, a day held every 283 days: +1052.19 days per 1,000 years 365-day year, a day held every 284 days: +1047.61 days per 1,000 years 365-day year, a day held every 285 days: +1043.07 days per 1,000 years 365-day year, a day held every 286 days: +1038.56 days per 1,000 years 365-day year, a day held every 287 days: +1034.08 days per 1,000 years 365-day year, a day held every 288 days: +1029.64 days per 1,000 years 365-day year, a day held every 289 days: +1025.22 days per 1,000 years 365-day year, a day held every 290 days: +1020.84 days per 1,000 years 365-day year, a day held every 291 days: +1016.48 days per 1,000 years 365-day year, a day held every 292 days: +1012.16 days per 1,000 years 365-day year, a day held every 293 days: +1007.86 days per 1,000 years 365-day year, a day held every 294 days: +1003.59 days per 1,000 years 365-day year, a day held every 295 days: +999.36 days per 1,000 years 365-day year, a day held every 296 days: +995.15 days per 1,000 years 365-day year, a day held every 297 days: +990.97 days per 1,000 years 365-day year, a day held every 298 days: +986.82 days per 1,000 years 365-day year, a day held every 299 days: +982.69 days per 1,000 years 365-day year, a day held every 300 days: +978.60 days per 1,000 years 365-day year, a day held every 301 days: +974.53 days per 1,000 years 365-day year, a day held every 302 days: +970.49 days per 1,000 years 365-day year, a day held every 303 days: +966.47 days per 1,000 years 365-day year, a day held every 304 days: +962.48 days per 1,000 years 365-day year, a day held every 305 days: +958.52 days per 1,000 years 365-day year, a day held every 306 days: +954.58 days per 1,000 years 365-day year, a day held every 307 days: +950.67 days per 1,000 years 365-day year, a day held every 308 days: +946.79 days per 1,000 years 366-day year, a day held every 280 days: +2069.69 days per 1,000 years 366-day year, a day held every 281 days: +2065.00 days per 1,000 years 366-day year, a day held every 282 days: +2060.35 days per 1,000 years 366-day year, a day held every 283 days: +2055.73 days per 1,000 years 366-day year, a day held every 284 days: +2051.15 days per 1,000 years 366-day year, a day held every 285 days: +2046.59 days per 1,000 years 366-day year, a day held every 286 days: +2042.07 days per 1,000 years 366-day year, a day held every 287 days: +2037.58 days per 1,000 years 366-day year, a day held every 288 days: +2033.12 days per 1,000 years 366-day year, a day held every 289 days: +2028.69 days per 1,000 years 366-day year, a day held every 290 days: +2024.30 days per 1,000 years 366-day year, a day held every 291 days: +2019.93 days per 1,000 years 366-day year, a day held every 292 days: +2015.59 days per 1,000 years 366-day year, a day held every 293 days: +2011.29 days per 1,000 years 366-day year, a day held every 294 days: +2007.01 days per 1,000 years 366-day year, a day held every 295 days: +2002.76 days per 1,000 years 366-day year, a day held every 296 days: +1998.54 days per 1,000 years 366-day year, a day held every 297 days: +1994.35 days per 1,000 years 366-day year, a day held every 298 days: +1990.18 days per 1,000 years 366-day year, a day held every 299 days: +1986.05 days per 1,000 years 366-day year, a day held every 300 days: +1981.94 days per 1,000 years 366-day year, a day held every 301 days: +1977.86 days per 1,000 years 366-day year, a day held every 302 days: +1973.81 days per 1,000 years 366-day year, a day held every 303 days: +1969.78 days per 1,000 years 366-day year, a day held every 304 days: +1965.78 days per 1,000 years 366-day year, a day held every 305 days: +1961.81 days per 1,000 years 366-day year, a day held every 306 days: +1957.86 days per 1,000 years 366-day year, a day held every 307 days: +1953.94 days per 1,000 years 366-day year, a day held every 308 days: +1950.04 days per 1,000 years 367-day year, a day held every 280 days: +3073.27 days per 1,000 years 367-day year, a day held every 281 days: +3068.57 days per 1,000 years 367-day year, a day held every 282 days: +3063.91 days per 1,000 years 367-day year, a day held every 283 days: +3059.28 days per 1,000 years 367-day year, a day held every 284 days: +3054.68 days per 1,000 years 367-day year, a day held every 285 days: +3050.11 days per 1,000 years 367-day year, a day held every 286 days: +3045.58 days per 1,000 years 367-day year, a day held every 287 days: +3041.08 days per 1,000 years 367-day year, a day held every 288 days: +3036.61 days per 1,000 years 367-day year, a day held every 289 days: +3032.17 days per 1,000 years 367-day year, a day held every 290 days: +3027.76 days per 1,000 years 367-day year, a day held every 291 days: +3023.38 days per 1,000 years 367-day year, a day held every 292 days: +3019.03 days per 1,000 years 367-day year, a day held every 293 days: +3014.71 days per 1,000 years 367-day year, a day held every 294 days: +3010.42 days per 1,000 years 367-day year, a day held every 295 days: +3006.16 days per 1,000 years 367-day year, a day held every 296 days: +3001.93 days per 1,000 years 367-day year, a day held every 297 days: +2997.73 days per 1,000 years 367-day year, a day held every 298 days: +2993.55 days per 1,000 years 367-day year, a day held every 299 days: +2989.40 days per 1,000 years 367-day year, a day held every 300 days: +2985.29 days per 1,000 years 367-day year, a day held every 301 days: +2981.19 days per 1,000 years 367-day year, a day held every 302 days: +2977.13 days per 1,000 years 367-day year, a day held every 303 days: +2973.09 days per 1,000 years 367-day year, a day held every 304 days: +2969.08 days per 1,000 years 367-day year, a day held every 305 days: +2965.10 days per 1,000 years 367-day year, a day held every 306 days: +2961.14 days per 1,000 years 367-day year, a day held every 307 days: +2957.21 days per 1,000 years 367-day year, a day held every 308 days: +2953.30 days per 1,000 years 368-day year, a day held every 280 days: +4076.86 days per 1,000 years 368-day year, a day held every 281 days: +4072.15 days per 1,000 years 368-day year, a day held every 282 days: +4067.47 days per 1,000 years 368-day year, a day held every 283 days: +4062.82 days per 1,000 years 368-day year, a day held every 284 days: +4058.21 days per 1,000 years 368-day year, a day held every 285 days: +4053.64 days per 1,000 years 368-day year, a day held every 286 days: +4049.09 days per 1,000 years 368-day year, a day held every 287 days: +4044.57 days per 1,000 years 368-day year, a day held every 288 days: +4040.09 days per 1,000 years 368-day year, a day held every 289 days: +4035.64 days per 1,000 years 368-day year, a day held every 290 days: +4031.22 days per 1,000 years 368-day year, a day held every 291 days: +4026.83 days per 1,000 years 368-day year, a day held every 292 days: +4022.47 days per 1,000 years 368-day year, a day held every 293 days: +4018.13 days per 1,000 years 368-day year, a day held every 294 days: +4013.83 days per 1,000 years 368-day year, a day held every 295 days: +4009.56 days per 1,000 years 368-day year, a day held every 296 days: +4005.32 days per 1,000 years 368-day year, a day held every 297 days: +4001.10 days per 1,000 years 368-day year, a day held every 298 days: +3996.92 days per 1,000 years 368-day year, a day held every 299 days: +3992.76 days per 1,000 years 368-day year, a day held every 300 days: +3988.63 days per 1,000 years 368-day year, a day held every 301 days: +3984.53 days per 1,000 years 368-day year, a day held every 302 days: +3980.45 days per 1,000 years 368-day year, a day held every 303 days: +3976.40 days per 1,000 years 368-day year, a day held every 304 days: +3972.38 days per 1,000 years 368-day year, a day held every 305 days: +3968.39 days per 1,000 years 368-day year, a day held every 306 days: +3964.42 days per 1,000 years 368-day year, a day held every 307 days: +3960.47 days per 1,000 years 368-day year, a day held every 308 days: +3956.56 days per 1,000 years 369-day year, a day held every 280 days: +5080.44 days per 1,000 years 369-day year, a day held every 281 days: +5075.72 days per 1,000 years 369-day year, a day held every 282 days: +5071.03 days per 1,000 years 369-day year, a day held every 283 days: +5066.37 days per 1,000 years 369-day year, a day held every 284 days: +5061.75 days per 1,000 years 369-day year, a day held every 285 days: +5057.16 days per 1,000 years 369-day year, a day held every 286 days: +5052.60 days per 1,000 years 369-day year, a day held every 287 days: +5048.07 days per 1,000 years 369-day year, a day held every 288 days: +5043.57 days per 1,000 years 369-day year, a day held every 289 days: +5039.11 days per 1,000 years 369-day year, a day held every 290 days: +5034.68 days per 1,000 years 369-day year, a day held every 291 days: +5030.27 days per 1,000 years 369-day year, a day held every 292 days: +5025.90 days per 1,000 years 369-day year, a day held every 293 days: +5021.56 days per 1,000 years 369-day year, a day held every 294 days: +5017.25 days per 1,000 years 369-day year, a day held every 295 days: +5012.96 days per 1,000 years 369-day year, a day held every 296 days: +5008.71 days per 1,000 years 369-day year, a day held every 297 days: +5004.48 days per 1,000 years 369-day year, a day held every 298 days: +5000.28 days per 1,000 years 369-day year, a day held every 299 days: +4996.12 days per 1,000 years 369-day year, a day held every 300 days: +4991.97 days per 1,000 years 369-day year, a day held every 301 days: +4987.86 days per 1,000 years 369-day year, a day held every 302 days: +4983.77 days per 1,000 years 369-day year, a day held every 303 days: +4979.71 days per 1,000 years 369-day year, a day held every 304 days: +4975.68 days per 1,000 years 369-day year, a day held every 305 days: +4971.68 days per 1,000 years 369-day year, a day held every 306 days: +4967.70 days per 1,000 years 369-day year, a day held every 307 days: +4963.74 days per 1,000 years 369-day year, a day held every 308 days: +4959.81 days per 1,000 years 370-day year, a day held every 280 days: +6084.03 days per 1,000 years 370-day year, a day held every 281 days: +6079.29 days per 1,000 years 370-day year, a day held every 282 days: +6074.59 days per 1,000 years 370-day year, a day held every 283 days: +6069.92 days per 1,000 years 370-day year, a day held every 284 days: +6065.28 days per 1,000 years 370-day year, a day held every 285 days: +6060.68 days per 1,000 years 370-day year, a day held every 286 days: +6056.11 days per 1,000 years 370-day year, a day held every 287 days: +6051.57 days per 1,000 years 370-day year, a day held every 288 days: +6047.06 days per 1,000 years 370-day year, a day held every 289 days: +6042.58 days per 1,000 years 370-day year, a day held every 290 days: +6038.14 days per 1,000 years 370-day year, a day held every 291 days: +6033.72 days per 1,000 years 370-day year, a day held every 292 days: +6029.34 days per 1,000 years 370-day year, a day held every 293 days: +6024.98 days per 1,000 years 370-day year, a day held every 294 days: +6020.66 days per 1,000 years 370-day year, a day held every 295 days: +6016.36 days per 1,000 years 370-day year, a day held every 296 days: +6012.10 days per 1,000 years 370-day year, a day held every 297 days: +6007.86 days per 1,000 years 370-day year, a day held every 298 days: +6003.65 days per 1,000 years 370-day year, a day held every 299 days: +5999.47 days per 1,000 years 370-day year, a day held every 300 days: +5995.32 days per 1,000 years 370-day year, a day held every 301 days: +5991.19 days per 1,000 years 370-day year, a day held every 302 days: +5987.10 days per 1,000 years 370-day year, a day held every 303 days: +5983.03 days per 1,000 years 370-day year, a day held every 304 days: +5978.98 days per 1,000 years 370-day year, a day held every 305 days: +5974.97 days per 1,000 years 370-day year, a day held every 306 days: +5970.98 days per 1,000 years 370-day year, a day held every 307 days: +5967.01 days per 1,000 years 370-day year, a day held every 308 days: +5963.07 days per 1,000 years 358 360 362 364 366 368 370 282 286 290 294 298 302 306 a day held every … days days in the calendar year 364 · 294 0.1 1 10 100 1,000 10,000 drift, days per 1,000 yr
0.18 days of drift per 1,000 years for 364 · 294
Each square is a calendar: a year of so many days, with one day held every so many days. Its colour is how fast it drifts from the seasons.
Only one square comes close to zero. One day either side of 294, and the drift is twenty times larger; any other year length and it is hundreds or thousands of times larger.
Computed directly from the arithmetic of each calendar against the average seasonal year of the last thirty thousand years — no fitted model.
3
One in half a million
0 20 40 60 80 days of drift per 1,000 years 0.18 364 · 294 29 364 · 301 31 364 · 287 56 364 · 308 63 364 · 280 83 364 · 315 the best calendars made entirely of whole weeks (year · hold every … days)
1 of 504,899 designs that keep both the week and the seasons
Widen the search to every year from 300 to 400 days and every hold from every 2 days to every 5,000: 504,899 calendars.
Only 7 keep pace with the seasons to within half a day in a thousand years. Six of them are 365-day years with a rare hold about every 1,508 days.
One — and only one — is made entirely of whole weeks: 364 days, a day held every 294 (42 weeks). The next best whole-week calendar drifts 160 times faster.
The week and the seasons can be reconciled in exactly one way.
4
Thirty thousand years
-2 0 +2 +4 +6 12001 BCE 8001 BCE 4001 BCE 1 BCE 4000 8000 12000 16000 days from the true March equinox within a day and a half for 15,850 years
15,850 years in a row within a day and a half of the equinox
Every New Year's Day of the calendar from 12999 BCE to 16996 CE, measured against the true March equinox — 29,995 years, each computed from the Swiss Ephemeris.
Day 1 never strays further than 2.6 days early or 5.6 days late, and stays within a day and a half from 4261 BCE to 11589 CE.
The gold line is each century's average; the band is its earliest and latest New Year.
5
Why it holds
365.2415 365.2420 365.2425 365.2430 12001 BCE 8001 BCE 4001 BCE 1 BCE 4000 8000 12000 16000 length of the seasons' year (days) the calendar’s year · 365.24232 Day 1 drifts later Day 1 drifts earlier
365.2415–365.2429 days: the range the seasons' own year moves through
The seasons' year is not fixed. As the Earth's axis slowly turns against its orbit, the year from one March equinox to the next lengthens and shortens over about twenty thousand years.
The calendar's year — 365.24232 days — sits inside that range. When the seasons' year is shorter, Day 1 drifts one way; when it is longer, it drifts back.
So the calendar does not run away from the seasons: it swings around them. This is its true link to the precession of the Earth.
6
Where the text is the sky
3 6 9 12 15 0° 10° 20° 30° 40° 50° 60° latitude north parts of light, of eighteen longest day shortest day Enoch: twelve parts Enoch: six parts 47.3° N 50.1° N
47–50° N where Enoch's longest and shortest days are measured fact
Enoch's longest day is twelve parts of light to six of darkness, and his shortest six to twelve.
Measured in the year 301 BCE, those proportions are true at 47.3° north (the longest day) and 50.1° north (the shortest). Jerusalem, at 31.8° north, sees about ten and a half parts at most.
R. H. Charles, in 1912, noted that the scheme may rest on traditions from 'the latitude of 49°, when the longest day is twice as long as the shortest night.'
7
The priestly beat
6 years of 364 days 2,184 days whole weeks 312 weeks turns of the 24 courses 13 turns months of the text (29 and 30 days) 74 months true months of the Moon 73.96 months the true Moon falls 1.26 days short in six years
13 turns of the 24 courses in six years — exactly
Twenty-four priestly families served a week each in turn. A year of 52 weeks does not divide by 24; six years do: 312 weeks, thirteen full turns.
Those same six years hold exactly 74 of the text's months. The true Moon falls 1.26 days short of that over six years — so the priestly cycle and the Moon keep step, give or take a day.
And 49 six-year cycles make up the calendar's great cycle of 294 years.
8
The first day
Sun Mon Tue Wed Thu Fri Sat the March equinox the Sun rises due east · day and night equal the new moon the true conjunction, 1.15 days later Day 1 · Wednesday
Wednesday the calendar's first day: the equinox, and a new moon
Counted back to its beginning, the calendar's first day falls on the March equinox, in the year 12763 BCE.
It is a Wednesday — the fourth day, the day on which, in Genesis, the lights were set in the heavens. The true new moon follows 1.15 days later.
The Sun, the Moon and the week begin together.
Computed by the clock's own calculator (Swiss Ephemeris; the equinox solved independently) from the project's data; every number is regenerated by tools/phoenix/analyse.py. After D. A. Bell, Resonant Order in the Enochic Calendar (2025), doi:10.5281/zenodo.17709010.