Note
that this is *not*
just your run-of-the-mill base 7 number system. If it were, you could
just convert your number into base 7, change symbols and be done with
it. But it doesn't quite work that way. Look at the symbol for the
number 7. It's
"nini", which means "zero-zero". That's very
surprising! (If it were plain vanilla base 7, you'd expect
"yuni", which means "one-zero"... much as
"one-zero" means "ten" in base ten.) You can't
just stick a zero in front of a Talcryl number and expect it not to
change. A leading zero changes the value of the number, which means
that you can actually get more numbers out of fewer digits.

The
two-digit numbers go all the way up to
"ekek", which corresponds to fifty-five. (In normal base
seven, you can only go up to forty-eight with two digits.) Three-digit
numbers start with fifty-six, which is
"ninini", and go all the way up to
"ekekek", which corresponds to three hundred ninety-eight,
and so on and so forth.

Converting
between decimal and Talcryl is therefore a little bit more involved.
Read on if you care, or just use the
automatic converter.

To get
the value of a Talcryl number, first convert the digits to standard
Arabic numerals (mostly for ease of explanation.) Then, add one to
each digit except the last one. Now multiply each digit by the
appropriate power of seven, (as if it were a standard base seven
number.) Example:

Talcryl: "niekyi"

Convert
to Arabic: 0 6 2

Add one
to all digits except the last one: 1 7 2

Pretend
this is base seven: 17^{2}
+ 77^{1}
+ 27^{0}
= 49 + 49 + 2 = 100 "one hundred".

Writing
a number in Talcrylic is basically the reverse process, but is
trickier since it involves some "borrowing" like in
longhand subtraction. Write the number in standard base seven. Now
subtract one from each digit except the last one. You may have some
minus-ones now. If so, "borrow" one from the previous digit
and add seven to the negative digit. If the first digit is minus-one,
simply remove it. Keep borrowing and removing until you've eliminated
all the negatives. Now convert to Talcrylic glyphs and you're done. Example:

Decimal:
365 "three hundred sixty-five".

Convert
to base seven: 1 0 3 1... (17^{3}
+ 07^{2}
+ 37^{1}
+ 17^{0}
= 343 + 0 + 21 + 1 = 365)

Subtract
one from all digits except the last one: 0 -1 2 1

Borrow
to eliminate the negative: 0-1 -1+7
2 1... becomes -1 6 2 1.

Now the
first digit is minus-one, so remove it: 6 2 1

Replace
with Talcrylic glyphs: "ekyiyu".

Well,
there you have it. Hopefully it made some sense. I haven't really
thought about how you'd do longhand arithmetic, or how you would
represent fractional numbers with symbols to the right of a
"Talcrylic Point". And yes, I think this stuff is fun.
Really. Stop laughing at me.

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