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
number
Year
number
Hexade
type
 Hexade
number
Year
number
Hexade
type
 Hexade
number
Year
number
Hexade
type
11long 27long 313short
418long 524short    
629long 735long 841short
946long 1052long 1158short
1263long 1369long 1475short
1580long 1686short    
1791long 1897long 19103short
20108long 21114long 22120short
23125long 24131short    
25136long 26142long 27148short
28153long 29159long 30165short
31170long 32176long 33182short
34187long 35193short    
36198long 37204long 38210short
39215long 40221long 41227short
42232long 43238long 44244short
45249long 46255short    
47260long 48266long 49272short
50277long 51283long 52289short
53294long 54300short    
55305long 56311long 57317short
58322long 59328long 60334short
61339long 62345long 63351short
64356long 65362short    
66367long 67373long 68379short
69384long 70390long 71396short

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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