*some numbers in the following section will be represented in base-12, with base-10 in parenthesis. if no parenthesis are found, assume the number is base-10.*
First a Taxnul vocab lesson:
- bejn - a day
- waruk - a taxnul week
- inaq - a taxnul month
- weraw - a year
- zetun - a taxnul hour
- garask - a taxnul minute
- soraslaq - a taxnul second
- Tlascbejn - the 1st bejn of the waruk
- Tzaxbejn - the 2nd bejn of the waruk
- Atenbejn - the 3rd bejn of the waruk
- Kawbejn - the 4th bejn of the waruk
- Gjaxbejn - the 5th bejn of the waruk
- Magxbejn - the 6th bejn of the waruk
- Sakuraw - the 1st inaq of the weraw
- Awulu - the 2nd inaq of the weraw
- Altojarwen - the 3rd inaq of the weraw
- Tlaskan - the 4th inaq of the weraw
- Ajlypyrum - the 5th inaq of the weraw
- Akstejn - the 6th inaq of the weraw
- Kawtzan - the 7th inaq of the weraw
- Ÿmasox - the 8th inaq of the weraw
- Satorzaga - the 9th inaq of the weraw
- Sarwagit - the Xth inaq of the weraw
The Taxnul calendar has X(10) inaqa, each with 30(36) bejna. Waruka are 6 bejna long, and each inaq has 6 waruka. It also features a 5-bejn intercalary period (in taxnul - Bejn Arta, or "long day") between werawa. However, every 4 werawa, excluding werawa divisible by X8(128), it also has an extra 6th intercalary bejn. Keep in mind, however, that all numbers in Taxnul are represented in base-12, or duodecimal. (heres some videos on that)
weraw one on this calendar starts on the gregorian date December 27th, 2000, meaning the winter solstice in 2000 fell on the last bejn of the Taxnul weraw 0. The calendar is designed to generally have the winter solstice fall on X/30(10/36), the last bejn of the year, before the intercalary period.
Timekeeping is also different in this system. Instead of 20(24) hours, the day is split into 10(12) zetuna. Every minute is 60(72) soraslaqa, and a zetun is 100(144) garaska. Though, a soraslaq is actually 694 milliseconds instead of 1000 like a second. So basically a zetun is 2 times longer than an hour, a garaslak is about 0.83 times as long as a minute, and a soraslaq is 0.69 times shorter than a second. This actually made the clock really fucking annoying to code, but with a bit of help from ChatGPT I eventually figured out a solution. Here's the solution if you're interested, writeup courtesey of GPT-4.
The Taxnul calendar introduces a leap weraw every 4 years, with an exception for werawa divisible by X8(128), which are not considered leap werawa. This results in an average weraw length of approximately 365.2421875 bejna. In contrast, the Gregorian calendar follows a leap year pattern wherin the average year length of about 365.2425 days. While both calendars aim to closely align with the tropical year (approximately 365.2422 days) to maintain accuracy with solar events like solstices, the Taxnul calendar's design offers a marginally closer approximation to the tropical year than the Gregorian calendar.
Another neat quirk of the Taxnul calendar is that each date falls on the same bejn of the waruk every year without fail. This is because the waruka are 6 bejna long and the inaqa are 6 waruka. This of course comes with its drawbacks though, for instance if you were born on a workday then you'll always have a workday birthday, but I think that's a reasonable tradeoff, being that any special holidays set on this calendar to be weekends are always on the weekend. As for the intercalary period, we simply don't consider those as a proper "waruk", since it would be awkward to go from Gjaxbejn straight to Tlascbejn skipping Magxbejn most werawa.