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CONLANG  September 2000, Week 4

CONLANG September 2000, Week 4

Subject:

Re: More numbers and math

From:

Carlos Thompson <[log in to unmask]>

Reply-To:

Constructed Languages List <[log in to unmask]>

Date:

Sun, 24 Sep 2000 22:02:40 -0500

Content-Type:

text/plain

Parts/Attachments:

Parts/Attachments

text/plain (68 lines)

tal wrote:

> General follwup: does anyone have several number-systems for the
> same conlang? tāruven's got four so far (binary, base5, base8,
> base24) and yes it's a mess!

Chleweyish number-system is kind of binary, or better say, it is
binary based.  But there are versions for hexadecimal and decimal.

The following rules are followed:
zero: ba
Powers of two:
     1: rey
     2: raw
     4: rap
     8: rur
    16: ghey
    32: gaw
    64: gap
   128: gur
   256: fey
   512: faw
  1024: fap
  2048: fur
  4096: jey
  8192: jaw
 16384: jap
 32768: jur

For higher amounts the following prefixes are added:
 di-: 65536 times
 ga-: 2^32 times

Then the following suffix are added:
 -(s)et : plus one half: rawet=3, rapet=6, rurset=12, gheyet=24, etc.
 -(y)or : plus one quart: rapor=5, ruryor=10, gheyor=20, gawyor=40,
etc.
 -sot : plus thee quarts: rapsot=7, rursot=14, gheysot=28, gawsot=56,
etc.
 -yam: plus one eight: ruryam=9, etc.
 -yom: plus three eights: ruryom=11, etc.
 -sen: plus five eights: rursen=13, etc.
 -son: plus seven eights: rurson=15, etc.

But for base ten numbers the following adaptations are used:

units:
  ba rey raw rawet rap rapor rapet rapsot rur ruryam
tens:
  ruryor gheyor gheyetor gawyor gawyoror gawetor gawsotor gapor
gapyamor
hundrets:
  sey saw sawet sap sapor sapet sapsot sur suryam

note that 30 is expressed as gheyetor: ghey-(s)et-(y)or = 16 + ×1/2 +
×1/4 = 24 + ×1/4 = 30.
Then:
thousan: prefixes du-
million: syey
billion (10^12): syaw
trillion (10^18): syap
10^24: syur

This allow to express integer amounts from 0 to 10^30-1, in decimal,
and from 0 to 2^64-1 in binary.  This is probably enough for most
situations in common life, but probably not for expressing phisycs...
I haven't design yet how to implement exponents and fractions.

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