Re: Possible base-20 numeric system
From: | Simon Richard Clarkstone <s.r.clarkstone@...> |
Date: | Saturday, October 23, 2004, 23:20 |
Trebor Jung wrote:
> Compounds:
>
> ketïs: twenty
> koltïs: thirty
> neltïs: forty
> ötïs: fifty
> sabtïs: sixty
> haudïs: seventy
> mbitïs: eighty
> naetïs: ninety
> tistïs: one hundred
> üstistïs: one hundred and one
> rastïs: one hundred and ten
> üsrastïs: one hundred and eleven
> töltïs: one hundred and twenty
> ðaertïs: one hundred and thirty
> ...
> ketïstïs: two hundred
> ...
> tistïstïs: two hundred
> ...
No, wrong, you have a bizarre dual-base system. Each of the quoted
should be 20 more than its predecessor. In the next "place", each would
be 20*20=400 more than its predecessor.
Also, you must (well, should) only have one name for each integer, but
you have:
ketïs-tis = koltïs (assuming hyphens add the two numbers)
A better scheme:
nol = ^0 ... köt = ^19
I will epress the base-20 numbers in ways such as this:
7_2_8_1_2
then we have:
nol = _0 = 0
üs = _1 = 1
ket = _2 = 2
kol = _3 = 3
...
eiv = _17 = 17
aum = _18 = 18
köt = _19 = 19
Then things slightly more complicated:
üstïs = _1_0
= 1*20
+ 0
= 20
ketïs = _2_0
= 2*20
+ 0
= 40
koltïs = _3_0
= 3*20
+ 0
= 60
. . .
eivtïs = _17_0
= 17*20
+ 0
= 340
aumtïs = _18_0
= 18*20
+ 0
= 360
köttïs = _19_0
= 19*20
+ 0
= 380
üstïstïs = _1_0_0
= 1*20*20
+ 0*20
+ 0
= 400
üstïstïstïs = _1_0_0_0
= 1*20*20*20
+ 0*20*20
+ 0*20
+ 0
= 8000
üstïstïstïstïs = _1_0_0_0_0
= 1*20*20*20*20
+ 0*20*20*20
+ 0*20*20
+ 0*20
+ 0
= 160000
for complicated numbers:
köttïstïstïs-naetïstïs-ðahtïs-nel
= _19_9_16_4 = _19_0_0_0 + _9_0_0 + _16_0 + _4
= 19*20*20*20
+ 9*20*20
+ 16*20
+ 4
= 155924
--
Simon Richard Clarkstone
s.r.cl*rkst*n*@durham.ac.uk / s*m*n_cl*rkst*n*@hotmail.com
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