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Since you feel there's no reason for your world to have the same days of the week as our world (that's reasonable), why must your world have weeks at all? Why must the weeks be of X days? A month i...
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#4: Attribution notice removed
Source: https://writers.stackexchange.com/a/41143 License name: CC BY-SA 3.0 License URL: https://creativecommons.org/licenses/by-sa/3.0/
#3: Attribution notice added
Source: https://writers.stackexchange.com/a/41143 License name: CC BY-SA 3.0 License URL: https://creativecommons.org/licenses/by-sa/3.0/
#2: Initial revision
Since you feel there's no reason for your world to have the same days of the week as our world (that's reasonable), why must your world have weeks at all? Why must the weeks be of X days? A month is a length of time that's tied to a natural phenomenon - the turn of the moon around the earth. The week is tied to nothing but religion. Is there a similar justification for it in your world? You can, if your story demands it, make some justification for having weeks, you can pick the length of those weeks, you can have weekly day(s) off, you can choose the names of the days (although some cultures just have names that mean 'first', 'second' etc., so that too is an option). But consider first - why do you need this at all? What does your story gain, that would not be expressed by "on the tenth day of the seventh month"? If your story would gain something by adding day names, go ahead and add those. If it gains nothing, don't bother. ("The tenth day of the seventh month" is how the Torah sets up Yom Kippur, btw. So that's a real-life example.)