Output the date in the Mel calendar
Perl 6, 174 bytes



{~(.year,(|[X]("diaviolisgilfuldyumelralzanpalmikfavrujserravtanlinrezjildinketlenlaxnenpinmatkunmir".comb(3)xx 2)[^364],|("myuxet"X &lt;axet teems&gt;))[.day-of-year-1])}o*-726436


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Generate a list of all the valid dates and then indexes the day of the year into that list.

Explanation

{                                                   }  # Anonymous code block
                                                     o*-726436  # Subtract some days from the input
  (.year,                               # Output the year
           [X]("...".comb(3))[^365]     # Then produce a list of all months/days
         (|                        ,
          |("myuxet"X &lt;axet teems&gt;))    # And the extra days
                                    [.day-of-year-1]   # And get the current date
 ~   # Stringify the list