morphology of numerals in central nigeria

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1 Morphology and Motivations in Counting Systems of Languages of Central Nigeria By Selbut R. Longtau Development Alternatives, Research & Training 5 Lugard Road P.O. Box 1826, Jos, Nigeria [email protected] [This is a draft and may be quoted only with the author’s permission.] 1. Introduction Counting systems in Central Nigeria are diverse. These may include decimal, duodecimal, various bases like the quinary and so on. The body-part model is in vogue in several places and may actually be a mirror of some aspects of the culture of such peoples. Thomas‟ (1927: 72) commented that counting systems involving body parts are primitive. This would appear to be a relic of scholarship of that era. Gerhardt (1987) noted that the duodecimal counting system is widespread in the Plateau language grouping of genetic relationship terminology. Thomas (1927: 72) gave an estimate of this system in Nigeria without listing the languages: Mama 1 with a rather exceptional series has a duodecimal scale grafted on the normal quinary; this can hardly be anything but a loan from the Nigerian Group, which has twelve or fifteen duodecimal tribes. Matsushita by way of an update commented thus: The quinary system of numeration dominates among the languages of West Africa, decimal counting is found all over the area and a small but sizeable number of languages in Nigerian Middle Belt have possessed, and still possess, a peculiar duodecimal system of numeration. A few languages, actually, drifted from one system to the other in the short time span under the scrutiny of various observers (as C.K. Meek). Presently, the trend is changing from duodecimal into decimal. However, somewhere in the past, a dialect had moved the other direction too, from decimal system to duodecimal. (ms, n.d.) The motivations for changes in counting systems have not really been studied in Nigeria. However, one would have expected that the former British monetary denominations that once flourished in Nigeria would have rather entrenched the duodecimal system of the Plateau area but that has not been the case because the decimal system is now the vogue in most of the Plateau language groups. Therefore, it is obvious that the rise and decline in numeration systems have nothing to do with British colonialism or Hausaisation. Heine (2007: 27) hoped that Gerhardt‟s position could be contradicted. He noted that: Counting systems other than the decimal one will lose out in the long run, considering the ubiquity of body-part model on the one hand and the global evolution of the world culture and the role played worldwide by English, French, Spanish, Russian, and other Western languages on the other, Nevertheless other models are still in use, and some of 1 This is Kantana of Kanam LGA and not her relative, the Mama of Nasarawa state. The reference to the Nigerian Group is current Plateau of genetic language classification.

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1

Morphology and Motivations in Counting Systems of Languages of Central Nigeria

By Selbut R. Longtau

Development Alternatives, Research & Training

5 Lugard Road

P.O. Box 1826, Jos, Nigeria

[email protected]

[This is a draft and may be quoted only with the author’s permission.]

1. Introduction

Counting systems in Central Nigeria are diverse. These may include decimal, duodecimal,

various bases like the quinary and so on. The body-part model is in vogue in several places

and may actually be a mirror of some aspects of the culture of such peoples. Thomas‟ (1927:

72) commented that counting systems involving body parts are primitive. This would appear

to be a relic of scholarship of that era. Gerhardt (1987) noted that the duodecimal counting

system is widespread in the Plateau language grouping of genetic relationship terminology.

Thomas (1927: 72) gave an estimate of this system in Nigeria without listing the languages:

Mama1 with a rather exceptional series has a duodecimal scale grafted on the normal

quinary; this can hardly be anything but a loan from the Nigerian Group, which has

twelve or fifteen duodecimal tribes.

Matsushita by way of an update commented thus:

The quinary system of numeration dominates among the languages of West Africa,

decimal counting is found all over the area and a small but sizeable number of

languages in Nigerian Middle Belt have possessed, and still possess, a peculiar

duodecimal system of numeration. A few languages, actually, drifted from one system

to the other in the short time span under the scrutiny of various observers (as C.K.

Meek). Presently, the trend is changing from duodecimal into decimal. However,

somewhere in the past, a dialect had moved the other direction too, from decimal

system to duodecimal. (ms, n.d.)

The motivations for changes in counting systems have not really been studied in Nigeria.

However, one would have expected that the former British monetary denominations that once

flourished in Nigeria would have rather entrenched the duodecimal system of the Plateau area

but that has not been the case because the decimal system is now the vogue in most of the

Plateau language groups. Therefore, it is obvious that the rise and decline in numeration

systems have nothing to do with British colonialism or Hausaisation. Heine (2007: 27) hoped

that Gerhardt‟s position could be contradicted. He noted that:

Counting systems other than the decimal one will lose out in the long run, considering

the ubiquity of body-part model on the one hand and the global evolution of the world

culture and the role played worldwide by English, French, Spanish, Russian, and other

Western languages on the other, Nevertheless other models are still in use, and some of

1 This is Kantana of Kanam LGA and not her relative, the Mama of Nasarawa state. The reference to the

Nigerian Group is current Plateau of genetic language classification.

2

them are dynamic and progressive rather than recessive ... (However), in the Plateau

languages of northern Nigeria, for example, a traditional duodecimal system (having

„12‟ as a numerical base is increasingly being replaced by a decimal system. Both

English the official language of Nigeria, and Hausa, the local lingua franca are decimal,

even if Gerhardt (1987) says this fact cannot be immediately held responsible for this

process. The transition from duodecimal to decimal system can be observed in these

languages involves the following patterns: either the traditional numeral „12‟ was

reinterpreted as meaning „10‟, or else the words for „11‟ and „12‟ of the duodecimal

system were replaced by ‟10 + 1‟ or ‟10 + 2‟.

Table 1 shows that unlike the Plateau languages, Hausa has a complete set of equivalent

terms for the imperial monetary system which has been adopted by all the ethnic groups in

Northern Nigeria including the Middle Belt without a wholesome adoption of the counting

system itself:

Table 1 – Hausa equivalent of monetary terms under the Imperial system

Imperial Hausa Tarok

strategy 1

Tarok strategy 2

Pound note Pam iPam iPam pi izɨng “one pound”

Shilling coin Sule aSule aKobo pə gbəci parɨm “twelve pence”

Penny coin Kobo aKobo aKobo pə zɨng “one penny”

Farthing coin Anini aAnini aAnini pə zɨng “one farthing”

Half penny coin Afu aAfu aAfu pə zɨng “one half penny coin”

Three penny coin Tarau aTərau aKobo pə shat “three pennies”

Six penny coin Sisi aSisi aKobo pə kpəɗɨng “six pennies”

Nine penny coin Nai aNəi aKobo pə fangzɨngtɨng “nine pennies”

Matsushita is even more categorical:

At the time of Meek's observation, the all powerful British colonial regime brought the

pervasive duodecimal currency, i.e. one shilling equals 12 pence. Why had these

languages adopted the duodecimal system beforehand? It is an enigma, because all

other languages in the same Plateau group employed decimal or quinary system. The

transition of this direction is rather painless. Simply, duodecimal ten and eleven are

ignored, and duodecimal ten is used in situ as decimal ten. Thus, duodecimal 11

(decimal 13) becomes to mean decimal 11. Moving from one numeration system to

another does not seem to be a big deal. It can be done within a short time span, with the

slightest push from the socio-economic factor. In this respect, the numerals behave as if

they were a part of extra-linguistic institution, like unit of measure, colonial law or

some fancy goods in the market. The speakers, also, do not show any real resistance or

animosity towards the numeric alteration. Many informants describe, matter-of-factly;

„we used to count in old numbers but now, we count in new numbers.‟

The commonest shift to the decimal system involves mainly ten, eleven and twelve.

However, relics of terms for twelve in the endangered duodecimal system are found in

compound numerals.

3

The focus of the present study is to elicit data on the morphology of numeracy terminologies

from an emic angle in order to provide evidence that will inform the real motivations for

change in the counting systems of Central Nigeria among other goals. Operative counting

systems of languages are fascinating enough to warrant the above evaluative comments on

the structures of Plateau duodecimals, and Denning & Kemmer (1990: 305) from the point of

view of language universals. However, we wish to go further by analysing the morphology of

numerals to see whether we can find interesting sociolinguistic data. A major thesis of this

paper is to show that counting is not a priority in some people groups. This paper analyses the

synchronic morphological data of the numeracy systems of some central Nigerian languages

whether they are duodecimal or decimal. Our particular interest is to elicit the glosses of

compound numerals between one and twelve and above in order to enrich our cultural

knowledge of the peoples. Meaning of the names for the numerals beyond mere counting is a

mirror of the social life of the people.

The Tarok example illustrates that counting per se is undertaken with much reluctance.

Therefore a mixture of counting strategies will achieve a sense of enigma much better than a

straight forward quinary, decimal or a duodecimal one. Hopefully this paper will shed some

light on the dynamics which impinged on the endangered duodecimal system in particular.

Literal translations of glosses for compound numerals can shed light on the morphological

principles at work in the wider Central Nigerian context. The greatest motivation for

changing from the old to a decimal system in central Nigeria will be socio-economic reasons.

Our case studies are limited to only three East Benue-Congo languages of Tarok, Rigwe and

Mbula within a comparative linguistic and language contact paradigm. Only cardinal

numerals are treated here.

2. Case studies of counting systems in central Nigeria

The morphology of some central Nigerian languages is provided in this section.

2.1 Tarok case

The speakers of the Tarok language live in Southeast Plateau State of Nigeria. Sibomana

(1981) outlined cardinal and ordinal numbers in Tarok. Longtau (2008:106-111) provided

much more details and examples of more counting involving higher numerals. Thomas

(1927:69) noted the similarity in cognates between Tarok and Jarawa-Bantu sub-family. He

was so surprised that a language contact phenomenon between Jarawa-Bantu and Tarok

would yield a relatively high number of shared cognates in a very short wordlist of only 14

items. Table 2 provides the cognates involving numerals and other items:

Table 2 - Comparative Jarawa-Bantu cognates and Tarok in a 1927 list

Jarawa-Bantu Gloss Tarok Commentary

mo-ngo one uzɨng The interest in the item is the –ngo suffix in

Jarawa-Bantu which may be an inspiration

for the –ng ending in Tarok 1,3,4 and 6.

bari two uparɨm Plateau/Chadic root. A further interest is the

suffix-like element in both languages.

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tatu three ushatɗɨng Niger Congo root. A further interest is the

suffix-like element in both languages.

yinu four uneɗɨng Niger Congo root. A further interest is the

suffix-like element in both languages.

tungnu/tong five utukun Plateau root. A further interest is the suffix-

like element in both languages.

This short list clearly shows that the

motivation to have numeral extension is an

innovation in both languages. In the case of

Tarok, it will be shown that it is a device to

make counting enigmatic.

mbe pot nggbɨt According to Thomas (1927) the Jarawa

form is found only in Bamborewa.

ncira blood ncir Vowel erosion might have taken place in

Tarok.

mbil goat iɓɨl Widespread root.

lul nose alur Found in Ten as lol.

gun tree ikun Widespread root.

nyel bird inyil Widespread root.

acwun ear acwang Widespread root.

Older wordlist are invaluable and may be weak in phonemic accuracy, but they are records of

various languages at the stage of minimal contacts with languages of wider communications.

It will not be surprising to see why the lower numerals are remarkably stable in the Middle

Belt region of Nigeria. Thomas (1927: 69) gave the same report on uniformity for Jarawa-

Bantu up to five.

Gerhardt (1983:41) stated that the transformation of the conservative and diagnostic Plateau

canonical CVC to CVCV and CCV are recent innovations. However, in the case of Tarok

numerals and probably in other elements of grammar, the transformation is a compounding of

C1VC2CVC with a loss of C2 in 1-5. Longtau (2007: 39) identified monosyllabic stems as

canonical for Tarok nouns. This will form the basis for analysing the morphology of Tarok

numerical nouns.

Tarok uses non-count numerals as adjectives. There can be full or partial concord between

such numeral and the noun in juxtapositions. It is placed to the right of the noun. Table 3

illustrates Tarok count numerals. They carry the singular humanoid class marker u- and hence

a kind of personification.

Table 3 – Tarok cardinal counting numerals

Numeral Terminology Other glosses where

applicable

Commentary

5

one uzɨng Not available but CVC

is standard in the

Plateau area.

A widespread cognate cf. Kulu2

dìzín, Izere zining, Ninkyob zíng,

Sur zhangna, C‟Lela cing, Jibu

zinzo, Saam tsín. The suffixes in

Izere, Sur and Jibu are either

innovations or have been lost in

languages with CVC stems.

Comment for this numeral in Table

2 above will mean that the

motivation to „confuse‟ counting

through extensional element is

widespread.

two uparɨm Meaning of -rim suffix

is not known but see the

suggestions under Table

5.

Cf. cognates as far in Rukul, por in

Fyem.

three ushatɗɨng Meaning of –ɗɨng suffix

is not known and not an

innovation either in

view of comments for 4

and 6 below. See also

the suggestions under

Table 5

Cf. Rukul tat; Hasha atat are

widespread roots

four uneɗɨng Meaning of –ɗɨng suffix

is not known but see the

plausible suggestions

under Table 5.

Cf. Kulu denaa, Fyem naas,

Ninkyob nad, C‟Lela nássé. If –d

in Ninkyob is an eroded suffix, then

it will be a parallel to the Tarok –

ɗɨng.

five utukun If the word is a

compound, then the

Hasha example is

evidence that the

process is deeply rooted.

Cf. Hasha atukun, Berom tungun

and Mada tun. The Berom and

Mada CVN root is a hint that Tarok

might have lost N.

six ukpəɗɨng -kpV could be the stem

–kpa(m) „friend‟. Six

may be a derivative or

The –ɗɨng ending has a similar

shape to the followings in Hasha

nyì-nang „one‟, ànìng „four‟, nà-

nìng „eight‟, nà-nìng mà-reng

2 Dr. Roger Blench‟s Plateau Language Survey Project is the major source for the cognate evidence cited here. I

appreciate the use of the rich database.

6

friend of 3 or 4. „nine‟, àmè-ring nyí-náng

„hundred‟.

seven ufangshat Literally „finger-three‟,

but is derived from „ten

fingers subtract three‟.

The noun formation strategy for 7

and 9 are the same and it is clear

that subtraction from ten fingers is

at play. „Seven‟ means subtraction

of three fingers from ten fingers. –

fang „finger‟ is not an innovation as

such.

eight unənne Literally „indeed four‟. Hasha and Kaɗung has a

comparative strategy: Hasha

nànìng „eight‟ from ànìng „four‟;

Kaɗung nanas „eight‟ from nas

„four‟. In Tarok the 1st element of

the compound is an evidentiality

marker „indeed‟.

nine ufangzɨngtɨng Literally „finger-one-

other‟, but is derived

from „ten fingers

subtract one‟.

The formation of „nine‟ is basically

the same as „seven‟. Instead of just

„finger-one‟ it is „finger-the other

one‟. It is a deliberate strategy to

complicate things. The low tone on

the segment meaning another is

arbitrary just to further complicate

things.

ten ugbəpci The –ci ending may be

an adverb.

The -gbəp- element of gbəpci may

be similar to zopi „nine‟ in

Yangkam, zup „ten‟ in Sur,

Shall/Zwall. However, it is not the

expected word for „twelve‟.

eleven ugbəci azɨng Literally: ten with

addition of one.

Straight forward 10 + 1. However

the full form is ugbəpci ka amən

pə zɨng but is now archaic. Note

the deletion of –p- in the shortening

process.

twelve ugbəci aparɨm Literally: ten with

addition of two.

Straight forward 10 + 2. However

the full form is ugbəpci ka am ən

pə parɨm but is now archaic.

thirteen ugbəci Literally: „ten with Straight forward 10 + 3. However

the full form is ugbəpci ka am ən

7

ashatɗɨng addition of three‟. pə shatɗɨng but is now archaic.

twenty ìsɨm-pàrɨm „multiplier-ten two‟ It means two ten times.

twenty one ìsɨm-pàrɨm

azɨng

„multiplier-ten two one‟ The implied relation between the 2

nouns in 20 and subsequent

examples is an „and‟ hence ten two

times plus one.

thirty ìsɨm-shátɗɨng „multiplier-ten three‟ It means three ten times.

forty ìsɨm-neɗɨng „multiplier-ten four‟ It means four ten times.

fifty ìsɨm-tukun „multiplier-ten five‟ It means five ten times

sixty ìsɨm-kpəɗɨng „multiplier-ten six‟ It means six ten times.

seventy ìsɨm-fàngshat „multiplier-ten fingers

three‟

It means ten subtract three fingers

ten times

eighty ìsɨm-nənne „multiplier-ten indeed-

four‟

It means eight ten times.

ninety ìsɨm-

fangzɨngtɨng

„multiplier-ten finger

the other‟

It means nine ten times.

hundred igbəl „completed‟ It means „the end‟ in the counting

system.

thousand ìsɨm-kàlong „multiplier-ten plus a

term whose meaning is a

proper noun‟

It means „repeated tens‟ in the

counting system.

million ìsɨm-kàlong

ikálong

„a thousand one

thousand times‟

A most recent coinage.

billion ìgbəl-taktɨràk „hundred of

uncountable‟

A most recent coinage.

infinite ìsɨm-taktɨrak „multiplier-ten

uncountable‟

„Ten uncountable times‟

repeatedly/so

many times

ìsɨm-zɨng „multiplier-ten – once‟ An old expression which captures

the sociology of a reluctance in

counting.

8

In the commentaries above, we have been guided by cognate evidence. The word „multiplier-

ten‟ in Tarok is the cognate for „twelve‟ in Plateau. For example: Iten nsok, Shakara, Ndun

sok, Ninzo tsó, Izere kùsók, Hyam shok. This term ìsɨm is an invariable multiplier preceding

higher numbers meaning ten as in Sur „zim‟ and sɛ in Mada, an archaic word for „ten‟ only

found in compounds today. This system is found also in Izere for kusók where currently it is

ten but was twelve in the old system. Note that the u- prefix no longer apply in Tarok but an

invariant i-. The prefix of the 2nd

noun is dropped in the compound numerals. The cognate

evidence is so strong that Blench (in progress) reconstructs it to proto-Plateau:

The (cognate) appears to have originally been a word for „twelve‟ in the former

duodecimal systems characteristic of Plateau. It was adopted for „ten‟ in many

languages and was then replaced in turn, appearing only in compounds. Its appearance

in Eloyi is one factor that makes it appear more a part of Plateau than of Idomoid.

However, the cognate evidence for eleven is weak and unlike twelve, it does not appear in

any compound word. That notwithstanding, we will still consider other factors for a fuller

picture of the morphology of Tarok numerals.

The morphology of numeral terminology in Tarok may be divided into 4 eras: an early stable

quinary (i.e. base-five), post-quinary, duodecimal and decimal. The quinary terms share lot of

cognates with Proto-Plateau. The terms in use under that system are given in Table 4:

Table 4 – Evidence of Tarok quinary counting numerals

Numeral Tarok Commentary

one uzɨng Proto-Plateau

two upar Plateau/Chadic

three ushat Proto Niger-Congo

four une Proto Niger-Congo

five utu(n) Proto-Plateau

The actual natural short forms of the names today are as above.

In the post-quinary phase, extensional elements are introduced plus an additional numbers „6‟

– „10‟given in Table 5.

Table 5 – Evidence of Tarok post-quinary counting numerals

Number Tarok Proposed post-quinary name Cognate evidence

one uzɨng uzɨ(ng)-mi „my one‟ Izere zining, Hyam

zhiìnì, Jari zini

two uparɨm upar-mi „my two‟ Toro faari

9

three ushatɗɨng ushat-aɗɨng „three of ɗɨng‟ -

four uneɗɨng une-aɗɨng „three of ɗɨng‟ -

five utukun utu-kun „five of poverty‟ i.e.

that is all that can be counted

Sambe kàtûn, Arum

atúnggù, Toro tunggu

six ukpəɗɨng ukpə-aɗɨng „friend of ɗɨng‟ -

seven ufangshat subtract 3 fingers -

eight unənne evidence that it is only 4 is

incontrovertible

-

nine ufangzɨngtɨng subtract 1 finger -

ten ugbəpci it is turned upside down -

Evidence for the post-quinary terms are extension to the names and a new system with the -

ɗɨng ending. The 3rd

column proposes the names that have crystallised to the present names.

The clearest clue involves the name for 6. The first element appears to be the stem meaning

friend/companion/accompany ‘-kpa’. The second element is being proposed to be a

personification Ɗɨng. In that case the numeration extension is from the verb ɗɨng “to roll

away” but pronounced as ɗɨng in a typical tone concealment strategy discussed in details in

Longtau (in review). The suggestion fits the sociolinguistic scenario that the Tarok people are

very reluctant in engaging themselves to any form of counting whether they be children,

livestock or bundle of sorghum. A good head man would take every care to conceal the worth

of his wealth for fear of being cut down through witchcraft and sorcery in those days.

Indicating even the height of a child or even an animal are dictated by strict norms.

It was only the duration of the reign of a Priest/Chief may be kept by the tying of knots with a

rope. When a person goes on a journey he cuts pieces of straw equivalent to the number of

days s/he would be away called awallang. He keeps his lot and relatives keep an equivalent.

Every day a straw is substracted until he or she returns. Chronological ages are concealed.

Furthermore, all the critical activities of the farming cycle are preceded by rituals called

amulak „secret medicine‟ to wade off evil and wicked people that would want to know the

secret behind the success of the farmer. The verb ɗɨng “to roll away” is a plausible candidate

that captures the low motivation in divulging count information. All the terms for 7-10 when

counting was still in base 5 are mere circuitous terminologies that show much reluctance in

counting. The body-part model is superimposed in a partial manner.

The next phase in the evolution of the Tarok counting system is the adoption of a duodecimal

system. This is completely extinct in Tarokoid. Only Sur and Tarok preserve the relic of the

term for „twelve‟ in compound numerals as in the Table 6 culled from Blench (in progress).

Table 6 - Cognate evidence of relics of duodecimal twelve/ten

10

Language Example Gloss

Izere kùsók ten

Hyam shok twelve

Idũ sɔk twelve

Ayu ishók ten

Ninkyob sɔg twelve

Təsu tsɔ twelve

Sambe toro nine

Ndun sɔk ten

Shakara nsok ten

Eloyi -sɔ twelve

Yeskwa usok Twelve (Gerhardt 2005: 37)

Kulu isɔgípààla Twelve in compounds meaning ten (10X2).

Mada sɛ Twelve in compounds meaning ten.

tsɔ Twelve (Blench & Barau, in progress)

Sur ʒim Twelve in compounds meaning ten.

Tarok isɨm Twelve in compounds meaning ten.

Rigwe ʃʷa Twelve but now means ten. Two other base twelve words exist in Rigwe: ɲɲ

wa (12 x 12) but now used for hundred

and its derivable compounds; and ɂci (12 x 12 x 12) now used for a thousand and the derivable compounds.

The Tarok decimal system is already given in Table 1 is the last phase in its development of

the counting system. It is worth explaining further that coinage for one-hundred: igbəl „kill

me‟, a thousand: isɨm-kalong, uncountable: isɨm-zɨng/isɨm-taktərak exhibit elements of

frustration. For example, isɨm-zɨng „multiples of one‟ meaning uncountable is a euphemism.

The term isɨm-kalong means „ten times of the grandson of Long‟. In the case of isɨm-

taktərak, the complaint has led to real anger: let everything be dropped‟. Reluctance in

counting is a plausible explanation that needs to be investigated further in the sociolinguistics

of numerals.

Even in the matter traditional warfare, elders would use several delay tactics so that common

sense would prevail and conflagrations voided. Some would be busy putting arrowheads in a

small fire in the name of performing efficacy rituals while the other elders would be

negotiating with the enemy.

11

2.2 Rigwe case

Rigwe speakers live directly West of Jos the capital of Plateau State in Central Nigeria. Gya

(2012) treats Rigwe focus pronouns. Gya and Blench (in progress) is a sketch of Rigwe

phonology. Table 7 gives Rigwe count nouns.3

Table 7: Rigwe counting system

Number Name Other gloss/literal meaning if any

one ɂzrú None but a widespread Plateau root.

two ɂʍ

je None, cf. Ayu àhwà, Tari hwan, Mada há,

Rindre a-ha.

three ɂts

jɛ None

four ɂni None, but a widespread Niger Congo root.

five ɂtɕ

wɔɔ None, cf. Pe cong, Yangkam song.

six ritsjɛ Derived from the term for three in a standard

Plateau fashion and ri- may be a non-

productive fossilised morpheme.

seven natsjɛ Derived from the term for three, na-

elsewhere in the language is a genitive

connector but may be a non-productive

morpheme.

eight klanvà Literally „open hand‟, derived from the

gesture when you show up both palms and

count the fingers excluding the thumbs, it

gives eight, va- is hand, but fingers implied,

klan is opened.

nine kruvaja -ja is a singular marker meaning one item,

i.e. when one finger is folded out of ten, you

have nine, va- is hand, but finger implied,

kru is to fold, implying subtraction. This is

the same strategy as Tarok.

ten ʃʷa This is former twelve of the duodecimal

system but only in recent times it has

replaced former ten: krrunvagbengbe

„folding all fingers together‟. The sheer

3 I appreciate Pst. Daniel Gya of Vu University, Amsterdam for supplying the glosses for the data in this section.

12

length of former ten makes it a sure candidate

for replacement by a shorter term.

eleven ʃʷa ne ɔtu zun↓zru Literally, „ten with additional one‟. The

downdrift affects only the phonology and not

counting nouns. The former eleven is

krrunvagbengbe ne ɔtu zunzru „folding all

fingers together with additional one‟.

However, under a typical duodecimal system,

there should be a non-descriptive term for

both „ten‟ and „eleven‟ and not this pseudo-

eleven, especially.

twelve ʃʷa ne ɔtu wȇʍje Literally, „ten with additional two‟. The wȇ-

is a non-productive morpheme.

twenty ʃʷa wȇʍje Literally, „ten two‟ i.e. two times.

hundred ɲɲwa zun zru Literally, „dozen x dozen‟, but opaque

etymology + additional one‟, i.e. ten x ten.

thousand ɂci zun zru Literally, „dozen x dozen x dozen‟, but

opaque etymology + additional one‟, i.e. ten

x ten x ten

The Rigwe shows relics of a quinary system (1-5). A duodecimal system was imposed on it

using the method of counting of body parts. A common intermediary stage in changing from

duodecimal in the Plateau area to decimal is to replace ten with twelve and use the term for

twelve in building compounds in higher numerals. That is the case here. Unfortunately, we

are unable to have data on the old higher numerals. Bundles of millet were the main count

items. There is a term for twelve bundles in twelve places: ɲɲwa (i.e. 144 bundles of millet)

and ɂci for dozen x dozen x dozen, i.e. 1728 bundles. The most recent decimal system

evolved within the last ten years is what is presented above. There was an initial reluctance in

adopting ɲɲwa and ɂci for one-hundred and a thousand respectively, because of the huge

disparity in their values with a typical decimal system. However, due to the success of the

Rigwe literacy project, the terms are now fully adopted.

2.3 Mbula case

Thomas (1927) and especially Ulrich Kleinwillinghöfer‟s 1994 electronic wordlist provided

count nouns for Jarawa-Bantu. For the purpose of this paper, I rely mostly on the

13

morphological data provided by a mother tongue speaker4 of Mbula who helped with the

glosses. Table 6 gives count nouns in Mbula.

Table 6 - Mbula counting system

Number Name Gloss Commentary

one mɔɔnì /mwashat one Zaambo mùshèt, Bwazza móón

two ɓáárí two Bille ɓaarí, Duguri, Kulung

ɓaarí

three taaru three Zaambo tààrú, Bwazza táárù,

Duguri táát

four iiné four Zaambo ííní, Bwazza íínè, Bille

ííné

five tongnú five plus placing

things

Zaambo tòngnú, Bwazza

tóngnò, Bille tóngnó, Duguri

tóón, Kulung túngnúng

six tóngnu mwashât five plus placing

things and one

Bwazza tóngnò war mòshèt,

seven tóngnú ɓaari five plus placing

things and two

Bille tóng ɓáàri, Bwazza

tóngnò war rap

eight tóngnú táárú five plus placing

things and three

Bwazza tóngnò wat táárù,

Zaambo twàngà táárú,

nine tóngnú iiné five plus placing

things and four

Bwazza tóngnò war íínè,

ten lú'm ten but meaning

„full/complete‟

Zaambo lûm, Bwazza lú'm,

Bille lúm

eleven lú'm nong mwashat „ten and one‟ duodecimal eleven po in

Kantana/Mama is due to contact

with Plateau.

twelve lú'm nong ɓaari „ten and two‟ duodecimal twelve so in

Kantana/Mama is a Plateau

contact phenomenon.

thirteen lú'm nong táárú „ten and three

fourteen lú'm nong iiné „ten and four‟

fifteen lú'm nong tóngnú „ten and five‟

sixteen lú'm nong tóngnú

mwashat

„ten and five plus

one‟

seventeen lú'm nong tóngnú

ɓaari

„ten and five plus

two‟

eighteen lú'm nong tóngnú

táárú

„ten and five plus

three‟

nineteen lú'm nong tóngnú

iiné

„ten and five plus

four‟

twenty lú'm i ɓaari „ten it is two‟ i is a neuter focus pronoun.

The counting method in Mbula is a simple quinary base five system that fits the decimal

system. Five is made up of root tong- and a suffix which means „and a place for placing

4 I appreciate the glosses provided by Rev. Allen Tanko of Theological College of Northern Nigeria on 18

th

December 2013.

14

things‟. The suffix appears to be a mathematical terminology that is equivalent to „base five‟.

The particle tong is better understood as „with‟. The above data provides a clue in glosses for

5, 10 and 20 that there is reluctance in counting.

3. Conclusion

It is not enough just to describe the counting system of a people. The

morphology of the meaning of the count nouns encodes some aspects of the

culture of the people. They may have a counting system but actual counting are

controlled by cultural norms. It is not as a result of numeracy deficiencies but a

perception that some information must be kept secret.

15

References

Blench, Roger M., (in progress). Prospecting Proto-Plateau.

Gerhardt, Ludwig, 1983. The classification of Eggon: Plateau or Benue Group? Journal of West

African Linguistics 13: 37-50

Gerhardt, Ludwig, 1987. Some remarks on the numerical systems of Plateau languages. Afrika und

Übersee 70: 19-29

Gerhardt, Ludwig, 2005. Some Notes on Yeskwa (North-Western Plateau, Nigeria) with comments on

Koelle‟s Polyglotta Africana HAAP 3: 35 – 52.

Greenberg, Joseph H. 1990. In On Language: Selected Writings of Joseph H. Greenberg by Joseph

Harold Greenberg, Edited by Keith Denning & Suzanne Kemmer. Sanford University Press,

Stanford, California

Heine, Bernd, 1997. Cognitve Foundations of Grammar. Oxford University Press, London, pp. 1-200.

Kleinwillinghöfer, Ulrich, 1994 electronic wordlist

Longtau 2007. Comparative morphology of Tarok and Plateau noun cognates. Nggapak, 1 (3): 31-47.

Longtau, Selbut R., 2008. Tarok Language: Its Basic Principles and Grammar. DART Jos/KWEF, pp.

1-241.

Longtau, Selbut R., in review. Morphology of Derived Tarok Nouns.

Price, N. 1989. Notes on Mada phonology. Language Data, Africa Series, 23. Dallas: SIL.

Thomas, Northcote W., (1927). The Bantu languages of Nigeria. Festschrift Meinhof,

Sprachwissenschaftliche und andere studien , Komissionsverlag Von L. Friederichsen & Co.,

Hamburg , p.65-72.

16

Appendix 1 – Incomplete research on Mada

Price (1989) and Blench (in progress) is an electronic draft of the Mada

dictionary that serves a source of Tables 6-9.

Table a: Mada count nouns 1-10

Numeral Mada name Gloss (if any) Commentary

one gyər

two ywā

three tar

four nlyɛ

five tun

six tānnɛn ?3 plus ?

seven tāmgbā ?3 plus ?

eight tānda ?3 plus ?

nine tīyār ?3 plus ?

ten gùr

Table b: Mada Duodecimal count nouns 11 - 24

eleven pwɔ As under a typical

duodecimal system.

twelve tsɔ As under a typical

duodecimal system.

thirteen tsɔ ɡyər 12 + 1

fourteen tsɔ ywa 12 + 2

fifteen tsɔ tar 12 + 3

sixteen tsɔ nlyɛ 12 + 3

seventeen tsɔ tun 12 + 5

eighteen tsɔ tannɛn 12 + 6

nineteen tsɔ tamɡba 12 + 7

twenty tsɔ tanda 12 + 8

twenty

one

tsɔ tiyar 12 + 9

twenty

two

tsɔ ɡur 12 + 10

twenty

three

tsɔ pwɔ 12 + 11

twenty

four

tsɔ tsɔ ɡyər 12 + 12 (once)

Table c: Mada Modern count nouns 11 and above

eleven ɡur ɡyər

17

twelve ɡur ywa

thirteen ɡur tar

fourteen ɡur nlyɛ

twenty sɛ ywa

thirty sɛ tàr

forty sɛ nlyɛ

fifty sɛ tun

sixty sɛ tānnɛn

seventy sɛ tāmgbā

eighty sɛ tānda

ninety sɛ tiyar

hundred gigyər ? plus ?one

thousand nàgyər ? plus ?one

Table d: Mada count nouns in compounds

one ɡyər

three tàr In compounds

ten sɛ archaic word for „ten‟ only

found in compounds today

which may be a modified

„twelve‟.