While I'm on the topic of Traipah's math system, I might as well mention I also worked out their money. Which, their money also being base 6, is different from our own. Our US denominations make a fair bit of sense, in that 10 goes into 100 ten times, and 20 goes into 100 five times. We could easily have a $25 bill if we wanted to, for that would go evenly into 100 four times.
Now base 6 being different, those denominations don't make sense anymore. 100 in base 6 is 36 in base 10. So I wrote out the numbers in a line and worked out which denominations would work best for Traipah. These are what I came up with:
* One hundred
* Three hundred
* One thousand
This makes 9 kinds of coins (all Traipahni money are coins made of woods like ironwood, since counterfeiting them would be too much work to go to, and be worth it [ironwood, stonewood, and related woods are a major pain in the arse to cut, especially into small coin shapes]). Or, expressed in base 6, they have 136 coins.
Anyway, with 1006 being 3610, and other base 6 considerations, this means:
* $1 goes into $10 six times. (Because 10 in base 6 is six in base 10)
* $2 goes into $10 three times.
* $3 goes into $10 two times.
* $10 goes into $100 six times. (Because in base 10, six goes into 36 six times)
* $20 goes into $100 three times.
* $30 goes into $100 two times.
* $100 goes into $300 three times.
* $300 goes into $1000 two times.
(Keep in mind, these are all base 6 numbers. If you're confused, write the numbers out in a line and look for yourself. Remember base 6 counting goes 1, 2, 3, 4, 5, 10, 11, 12, 13, 14, 15, 20, and so on til 50, 51, 52, 53, 54, 55, 100.)
With base 6 numbers being deceptively less than would seem to be, to those accustomed to base 10, this means that $100 in Traipahni money, even before the exchange rate is taken into consideration, is $36 in US money. Which is why I'm also pondering whether there should be a $10,000 coin.
Oh crap! I hadn't even thought about money less than $1. Maybe those will be something else, like paper. I've seen paper pennies. Hell, I have a paper Chinese penny. Yeah, I think the ones less than $1 will be paper.
Okay, using the same notions as before, here are the paper denominations:
* One cent
* Three cents
* Ten cents
* Twenty cents
* Thirty cents
I decided, though, that since pennies are basically worthless here, the same might be true on Traipah. Traipahni people being much more sensible, they don't make pennies anymore. (Though some are still in circulation.) The three cent bill is equivalent to a nickel, twenty cent bill is like a quarter, and the thirty cent bill is a half-dollar. Bear in mind, I don't have any names for any of these, aside from the names for the numbers.
I do wonder, though, if the paper money ought to be coated with something, to keep it from rotting. And I guess the same thing would be true of the wooden coins, because even though ironwood and stonewood are strong and a royal pain to cut, they can still rot. So they're probably varnished or something. (How strong are these woods? I think a laser cutting torch might have a hard time with them. Wouldn't be impossible, just difficult and time consuming.)
Only thing I need now, concerning the Traipahni money, is the names and designs on the coins. And color, I suppose. That should be fairly simple, though. I don't think the color will matter much on the coins, ironwood and stonewood being so hard to cut. And the color probably won't make much of a difference on the paper money.
Oh, another thought: obviously, the coins should be embossed, for blind persons. I think the same could be done with the "paper" money; coat the paper money in plastic (eco-friendly and biodegradable, if resistant to degredation), and the plastic can be used to emboss the paper.
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One last thing concerning Traipahni numbers. Three powerful sacred numbers in Yahgahn have always been 3, 6, and 9. Of course now, with the base 6 math, those numbers would be represented as 3, 10, and 13 now. And another number sacred to me, 1310 is, now, 216. Unless 13 has been sacred to me because I've somehow known all along, subconsciously, that it's how to represent 9 in base 6?
On a Discordian slant, I figure 23 is still a good Discordian number even in base 6, since 5 still exists, and 2+3 still equals 5. However, some associations with 23 no longer work, since 236 is 1510. So for instance, humans only have 23 pairs of chromosomes if that 23 is in base 10.
This was cross-posted from http://fayanora.dreamwidth.org/1071728.html
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