Base 8 counting in Gevey
From: | Rik Roots <rikroots@...> |
Date: | Sunday, October 14, 2001, 15:21 |
Gevey, like most other Vreski family languages, uses a base 10 number
system. However, all other languages on the continent use a base 8
system. Now as Gevey is a widespread trading language, it needs to be
able to count in base 8 as well as base 10.
To get round the problem, Gevey speaking traders imported a base 8
counting system from Ylstra-Bedin (a completely unrelated, but
geographically close, language from the Istran family). Details of the
counting system follow:
Numerical units
0 - zo
1 - bo
2 - to
3 - vo
4 - sho
5 - go
6 - lo
7 - mo
A number is made by combining the numerical unit with the particle ji.
For numbers greater than 7, numerical units are combined with the
unit's vowel changing according to the power of the number it
represents:
0 -o
00 -ae
000 -aa
0000 -ou
So, we get:
Decimal Gevey no Octal Istral no
1 onu 1 boji
2 drasu 2 toji
3 besu 3 voji
4 vilu 4 shoji
5 finu 5 goji
6 dizu 6 loji
7 aderhu 7 moji
8 espenu 10 baeji
9 nuunu 11 baeboji
10 oki 12 baetoji
11 okionu 13 baevoji
12 okidrasu 14 baeshoji
13 okibesu 15 baegoji
14 okivilu 16 baeloji
15 okifinu 17 baemoji
16 okidizu 20 taeji
17 okiderhu 21 taeboji
18 okispenu 22 taetoji
19 okinuunu 23 taevoji
20 draki 24 taeshoji
44 vilhkivilu 54 gaeshoji
100 oci 144 baashaeshoji
1000 okici 1750 boumaagaeji
1964 okinuunci dizkivilu 3654 voulaagaeshoji
2001 drakici onu 3721 voumaataeboji
This system works fine until we reach 1 0000 (base 8) [4,096 base 10].
After this point, numbers are clustered into groups of four, with jaji
replacing ji for the numbers between 1 0000 [4,096] and 7777 7777
[16,777,215] and heji replacing ji for numbers equal and above
1 0000 0000 [16,777,216].
40,000 vilu milhu 11 6100 baebojaji loushaaji
etc.
One consequence of this is that many people - even people who have
difficulty doing moderately simple multiplication/division sums - are
able to convert between base 10 gevey numbers and base 8 istran
numbers almost subconsciously, and always accurately.
Thoughts and comments welcome
Rik
--
The Gevey language reference
http://www.kalieda.org/gevey/index.html