6.953, Disc: Non-decimal systems

The Linguist List linguist at tam2000.tamu.edu
Sat Jul 8 12:37:45 UTC 1995


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LINGUIST List:  Vol-6-953. Sat Jul 8 1995. ISSN: 1068-4875. Lines:  149
 
Subject: 6.953, Disc: Non-decimal systems
 
Moderators: Anthony Rodrigues Aristar: Texas A&M U. <aristar at tam2000.tamu.edu>
            Helen Dry: Eastern Michigan U. <hdry at emunix.emich.edu>
 
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Asst. Editors: Ron Reck <rreck at emunix.emich.edu>
               Ann Dizdar <dizdar at tam2000.tamu.edu>
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Editor for this issue: aristar at tam2000.tamu.edu (Anthony M. Aristar)
 
---------------------------------Directory-----------------------------------
1)
Date:  Thu, 06 Jul 1995 23:41:02 PDT
From:  bodomo at Csli.Stanford.EDU (Adams Bodomo)
Subject:  Re: 6.943, Disc: Non-decimal counting systems
 
---------------------------------Messages------------------------------------
1)
Date:  Thu, 06 Jul 1995 23:41:02 PDT
From:  bodomo at Csli.Stanford.EDU (Adams Bodomo)
Subject:  Re: 6.943, Disc: Non-decimal counting systems
 
The Fulfulde language of West Africa is based on fives.
So you have separate words for one through five, from then on:
5+1 for six, then 5+2, 5+3, 5+4.  But there is a word for ten:
'sappo' which indicates putting both sets of fingers together.
Then we get 10+1 .... 10+5+4, then a separate word for twenty.....
 
 
I wish to contribute to this topic of discussion with Dagaare data.
Dagaare is a West African language (Gur family) spoken in Ghana and
Burkina Faso. I provide below salient aspects of the Dagaare system of
numerals. As can be seen it is basically a decimal system (based on
10) but it is also, to some extent, based on 20.  Forty  in Dagaare is
two 20's, sixty is three 20's and, like French, eighty is four 20's.
Hundred has its own name but some speakers still insist on calling it
five 20's. All this shown below.
 
4. Dagaare Numerals
 
+human count                                    -human count
Nenyeni                 -yeni           1       Bonyeni
Bayi                            -yi             2       Ayi
Bata                            -ta             3       Ata
Banaare                 -naare  4       Anaare
Banuu                   -nuu            5       Anuu
BayoOo                  -yoOo           6       AyoOo
BayOpoi                 -yOpoi  7       AyOpoi
Banii                           -nii            8       Anii
Bawae                   -wae            9       Awae
(Noba) pie                                      10      (Boma) pie
(Noba) pie ne yeni                      11      (Boma) pie ne yeni
Pie ne bayi                                     12      Pie ne ayi
.                                                       .
.                                                       .
Pie ne bawae                            19      Pie ne awae
(Noba) lezare                           20      (Boma) lezare
Lezare ne yeni                          21      Lezare ne yeni
Lezare ne bayi                          22      Lezare ne ayi
.                                                       .
.                                                       .
Lezare ne bawae                         29      Lezare ne awae
(Noba) lezare ne pie                    30      (Boma) lezare ne pie
Lezare ne pie ne yeni                   31      Lezare ne pie ne yeni
Lezare ne pie ne bayi                   32      Lezare ne pie ne ayi
.                                                       .
.                                                       .
(Noba) lezaE ayi                                40      (Boma) lezaE
ayi
LezaE ayi ne yeni                               41      LezaE ayi ne
yeni
LezaE ayi ne bayi                               42      LezaE ayi ne
ayi
.                                                       .
.                                                       .
LezaE ayi ne pie                                50      LezaE ayi ne
pie
LezaE ayi ne pie ne yeni                        51      LezaE ayi ne
pie ne yeni
LezaE ayi ne pie ne bayi                        52      LezaE ayi ne
pie ne ayi
.                                                       .
.                                                       .
(Noba) lezaE ata                                60      (Boma) lezaE
ata
LezaE ata ne yeni                               61      LezaE ata ne
yeni
LezaE ata ne bayi                               62      LezaE ata ne
ayi
.                                                       .
.                                                       .
(Noba) lezaE ata ne pie                 70      (Boma) lezaE ata ne
pie
LezaE ata ne pie ne yeni                        71      LezaE ata ne
pie ne yeni
LezaE ata ne pie ne bayi                        72      lezaE ata ne
pie ne ayi
.                                                       .
.                                                       .
(Noba) lezaE anaare                     80      (Boma) lezaE anaare
LezaE anaare ne yeni                    81      LezaE anaare ne yeni
LezaE anaare ne bayi                    82      LezaE anaare ne ayi
.                                                       .
.                                                       .
(Noba) lezaE anaare ne pie              90      (Boma) lezaE anaare ne
pie
LezaE anaare ne pie ne yeni             91      LezaE anaare ne pie ne
yeni
LezaE anaare ne pie ne bayi             92      LezaE anaare ne pie ne
ayi
.                                                       .
.                                                       .
(Noba) kOO                                      100     (Boma) kOO
KOO ne yeni                                     101     KOO ne yeni
KOO ne bayi                                     102     KOO ne ayi
.                                                       .
.                                                       .
KOOre ayi               200                             KOOre ayi
KOOre ata               300                             KOOre ata
.                                                       .
.                                                       .
KOOre awae              900                             KOOre awae
(Noba) tur              1000                            (Boma) tur
.                                                       .
Tur ayi         2000                            Tur ayi
Tur ata         3000                            Tur ata
.                                                       .
Tur tur (mur)   1000 000                                Tur tur (mur)
.                                                       .
Tur tur tur (bur)       1000 000 000                    Tur tur tur
(bur)
    ----------------------------------------------------------------------
 
As can be seen for the last two numerals above, speakers would refer
to million as 'thousand thousand' and billion, presumably as
'thousand, thousand, thousand'. The names in parenthesis ('mur' and
'bur') are my own suggestions, as a linguist/native speaker of the
language, towards a better way of referring to very large numbers. I
wonder how other languages are accomodating this need to have more
numerals in the counting system.
 
Adams Bodomo
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