"Fula belongs to the Atlantic branch of the Niger-Congo language family. There are several names applied to the language, just as there are to the Fula people. They call their language Pulaar or Pular in the western dialects and Fulfulde in the central and eastern dialects. Fula(h) and Fulani in English come originally from Manding (esp. Mandinka, but also Malinke and Bamana) and Hausa, respectively; Peul in French, also occasionally found in literature in English, comes from Wolof."
Another feature of the language is initial consonant mutation between singular and plural forms of nouns and of verbs (except in Pular, there is no consonant mutation in verbs, only in nouns).
A simplified schema is as follows:
w mutates to b mutates to mb
w mutates to g mutates to ng
s mutates to c
r mutates to d mutates to nd
f mutates to p
h mutates to k
y mutates to j mutates to nj" Wikipedia
So which came first Pulaar or Wolof; if the 'Fulani' call their language Pulaar it would suggest that the Wolof name Peul is closer to their original name than the later Fulbe; as 'F' is derived from an original 'ph'
ph: consonantal digraph, now usually representing "f," originally the combination used by Romans to represent Gk. letter phi (cognate with Skt. -bh-, Gmc. -b-), which at first was an aspirated "p," later the same sound as Ger. -pf-, but by 2c. B.C.E. had become a simple sound made by blowing through the lips (bilabial spirant). Roman "f," like modern Eng. "f," was dentilabial; by c.400, however, the sounds had become identical and in some Romanic languages (It., Sp.), -ph- regularly was replaced by -f-. This tendency took hold in O.Fr. and M.E., but with the revival of classical learning the words subsequently were altered back to -ph- (except fancy and fantastic), and due to zealousness in this some non-Gk. words in -f- began to appear in -ph-, though these forms generally have not survived. " Online Etymology Dictionary
Only through language can human migration be understood, the Basques still call themselves Eusk-al; could they be the remnants of the 'original' Wosh/Wash? (Wos-r/let)
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