True, I misspoke (miswrote?) about what would cause the difference in months. It would actually be dependant on how long it takes the moon to wax and wane. In a lunar calendar the months follow the phases of the moon (I prefer full moon). Our twelve months are based on the Roman system, which as far as I know was kind of lunar, but with a couple of extra days at the end of the year to stop the months from moving all over the calendar. If the moon is closer to the planet or further away from it, it changes how long it takes for the moon to orbit and therefore also changes the length of the lunar month.
Oh, I see! I think that I misunderstood you. That makes sense, yes.
You could also base the months on something non-lunar. Our months may be lunar, but our weeks appear to be based on absolutely nothing -- well, okay, I expect there's some sort of religious explanation (each day being assigned to a Roman/Norse deity and whatnot), but it corresponds neither to the exact length of the month nor the lunar cycle itself. And the Mayans, for one, had calendars based on a number of different celestial cycles, Venus for example. You could do that too! Of course, then you have to come up with the rest of the solar system. This rabbit hole just keeps going down!
Speaking of planets, anyone come up with a reason why the planet couldn't be significantly smaller than ours? Let's say 30% smaller, for example?
I don't think there's any reason why it couldn't be! Mars is, IIRC, about 1/3 the mass of Earth (hence the gravity is only 30% of Earth's) but it's similar in size and day length, and provides an excellent environment for Earth life (aside from, you know, that pesky lack of air problem ). You could either make the planet smaller with a corresponding reduction in gravity -- which wouldn't have to come up in the narration; the characters don't know any better -- or basically do the opposite of the Mars situation: have a planet that's denser than Earth, but has about the same mass, so it's correspondingly smaller. You would just have to keep in mind that reducing the planet's radius reduces the gravity by, uh, I think it's the reduction amount cubed, instead of reducing linearly (i.e. a small reduction in radius means a large reduction in gravity!).
If you wanna get technical about it, I think there's a problem with a smaller planet having more trouble holding onto its atmosphere, which is basically what happened to Mars, but if you go with making the planet smaller-yet-denser and therefore keeping the gravity the same, that wouldn't be a problem.
Also, having magic around to handwave things can cure a lot of potential physics-related issues! The gravity could be magic-based, for example, or the atmosphere held in by divine fiat, etc ...
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