The Hexade Pattern of the Hermetic Leap Week Calendar |
This table shows the distribution of short (5-year) and long (6-year) hexades for the years 1 through 400. The year number is the number of the year which begins the hexade. The same pattern is repeated every 400 years, so this is also the pattern for the years 2001 through 2400.
Hexade
numberYear
numberHexade
typeHexade
numberYear
numberHexade
typeHexade
numberYear
numberHexade
type1 1 long 2 7 long 3 13 short 4 18 long 5 24 short 6 29 long 7 35 long 8 41 short 9 46 long 10 52 long 11 58 short 12 63 long 13 69 long 14 75 short 15 80 long 16 86 short 17 91 long 18 97 long 19 103 short 20 108 long 21 114 long 22 120 short 23 125 long 24 131 short 25 136 long 26 142 long 27 148 short 28 153 long 29 159 long 30 165 short 31 170 long 32 176 long 33 182 short 34 187 long 35 193 short 36 198 long 37 204 long 38 210 short 39 215 long 40 221 long 41 227 short 42 232 long 43 238 long 44 244 short 45 249 long 46 255 short 47 260 long 48 266 long 49 272 short 50 277 long 51 283 long 52 289 short 53 294 long 54 300 short 55 305 long 56 311 long 57 317 short 58 322 long 59 328 long 60 334 short 61 339 long 62 345 long 63 351 short 64 356 long 65 362 short 66 367 long 67 373 long 68 379 short 69 384 long 70 390 long 71 396 short The 26 short hexades are as evenly spaced in the sequence of 71 hexades as is possible consistent with the properties of the calendar.
Since the pattern is cyclic it may be expressed succinctly as follows, beginning with hexade 17, and with hexade 1 following hexade 71:
(l,l,sh,l,l,sh,l,sh) + 2x(l,l,sh,l,l,sh,l,l,sh,l,sh) + (l,l,sh,l,l,sh,l,sh) + 3x(l,l,sh,l,l,sh,l,l,sh,l,sh)
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