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Hi folks,
I have a bit of an odd request so please bear with me. I am working on a series of fantasy novels set in a completely fictional world along with a fictional calendar. The history of the world spans some 15,000 years and the solar and lunar cycles play a significant role in the plot.
So, here is my dilemma: I've created all the rules for the calendars, but I've never been great at math in the first place and school was a VERY long time ago. So, I am looking for assistance creating some equations I can use to calculate things like the phases of the fictional moon, etc. I probably knew how to do all of this back in college, but, again, that was ages ago.
Let me start start with something simple: The solar calendar uses a 365 day year, while the lunar calendar is 384 days(yes I know on earth the lunar cycle is something like 27 days, again fictional world). At some point, the first day of the lunar year is going to fall on the first day of the solar year - I need to figure out how often that happens.
So let's say an arbitrary year, call it Year 0, both the solar and lunar years start on the same day. When is the next time this will happen again?
From that, I'm hoping to calculate "If this is Day X of Year Y on the solar calendar, then its Day Z of the lunar calendar".
There are going to be more, but that's the first place to start. Yes this is all plot-relevant because every act within the story takes place on a known date. No, the reader isn't going to be aware I've done any of this. I'm just eccentric.
I have a bit of an odd request so please bear with me. I am working on a series of fantasy novels set in a completely fictional world along with a fictional calendar. The history of the world spans some 15,000 years and the solar and lunar cycles play a significant role in the plot.
So, here is my dilemma: I've created all the rules for the calendars, but I've never been great at math in the first place and school was a VERY long time ago. So, I am looking for assistance creating some equations I can use to calculate things like the phases of the fictional moon, etc. I probably knew how to do all of this back in college, but, again, that was ages ago.
Let me start start with something simple: The solar calendar uses a 365 day year, while the lunar calendar is 384 days(yes I know on earth the lunar cycle is something like 27 days, again fictional world). At some point, the first day of the lunar year is going to fall on the first day of the solar year - I need to figure out how often that happens.
So let's say an arbitrary year, call it Year 0, both the solar and lunar years start on the same day. When is the next time this will happen again?
From that, I'm hoping to calculate "If this is Day X of Year Y on the solar calendar, then its Day Z of the lunar calendar".
There are going to be more, but that's the first place to start. Yes this is all plot-relevant because every act within the story takes place on a known date. No, the reader isn't going to be aware I've done any of this. I'm just eccentric.
