title_body: How can I name my days of the week?
upvoted_answer: While in English (and German) the days are named after (North-)Germanic gods or the sun and the moon, the months are also name after gods (and emperors), albeit from a different set (Roman), with some numerical ones thrown in (September/October/November/December); so there is no need to be consistent.
  
  In Irish it's similar: some names have been taken from Latin, others have been added in with cultural/religious significance.
  
  I was just looking at another language which is from a different family (Hawai'ian), but I guess they no longer have the weekdays they had before they had contact with Western powers: their days are literally "Night-one" (Po'akahi) to "Night-six" (Po'aono), plus Sunday being "Pray Day" (La pule). The month names are just localised versions of the English ones ("Ianuali", "Pepeluali", etc). Indonesian weekday names also seem to be derived from the names of (arabic) numerals.
  
  You could choose anything where you've got a set: celebrities/rulers, planets, plants, animals, whatever. I don't think anyone would look at it and think it weird to have a "fox-day", or an "oak-day". Add a regular prefix or suffix to the word that means something like "day", and it should look alright.
  
  And if you have two half-weeks, why not have an animal half followed by a tree-half?