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CONLANG  October 2004, Week 4

CONLANG October 2004, Week 4

Subject:

Re: Possible base-20 numeric system

From:

Simon Richard Clarkstone <[log in to unmask]>

Reply-To:

Constructed Languages List <[log in to unmask]>

Date:

Sun, 24 Oct 2004 00:19:55 +0100

Content-Type:

text/plain

Parts/Attachments:

Parts/Attachments

text/plain (111 lines)

Trebor Jung wrote:

> Compounds:
>
> ketīs: twenty
> koltīs: thirty
> neltīs: forty
> ötīs: fifty
> sabtīs: sixty
> haudīs: seventy
> mbitīs: eighty
> naetīs: ninety
> tistīs: one hundred
> üstistīs: one hundred and one
> rastīs: one hundred and ten
> üsrastīs: one hundred and eleven
> töltīs: one hundred and twenty
> đaertīs: one hundred and thirty
> ...
> ketīstīs: two hundred
> ...
> tistīstīs: 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:
ketīs-tis = koltīs (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:
üstīs = _1_0
   = 1*20
   + 0
   = 20

ketīs = _2_0
   = 2*20
   + 0
   = 40

koltīs = _3_0
   = 3*20
   + 0
   = 60

. . .

eivtīs = _17_0
   = 17*20
   + 0
   = 340

aumtīs = _18_0
   = 18*20
   + 0
   = 360

köttīs = _19_0
   = 19*20
   + 0
   = 380

üstīstīs = _1_0_0
   = 1*20*20
   + 0*20
   + 0
   = 400

üstīstīstīs = _1_0_0_0
   = 1*20*20*20
   + 0*20*20
   + 0*20
   + 0
   = 8000

üstīstīstīstīs = _1_0_0_0_0
   = 1*20*20*20*20
   + 0*20*20*20
   + 0*20*20
   + 0*20
   + 0
   = 160000

for complicated numbers:
köttīstīstīs-naetīstīs-đahtīs-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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