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This template takes a julian day number and returns the associated month number within the Gregorian calendar.
{{#expr:
(((((({{{1}}})+32044 round 0)mod 146097+36524-
(((({{{1}}})+32044 round 0)mod 146097/36524+0.5 round 0)*3/4+0.5 round 0)*36524
)mod 1461-
((((({{{1}}})+32044 round 0)mod 146097+36524-
(((({{{1}}})+32044 round 0)mod 146097/36524+0.5 round 0)*3/4+0.5 round 0)*36524
)mod 1461/365+0.5 round 0)*3/4+0.5 round 0)*365+365)*5+308)/153-0.5 round 0)mod 12+1
}}
