ðə dʒˈɛnəs wʌz ˈoʊnli ɪstˈæblɪʃt ɪn nˈaɪntiːnhˈʌndɹɪd nˈaɪnti nˈaɪn, wɪððə tˈɪnfɔɪl bˈɑːɹb bˈiː. ʃwˈeɪnənfˌɛldɪˌaɪ æz tˈaɪp spˈiːsiːz; ðˈʌs, ðiːz fˈɪʃ ɑːɹ sˈʌmtaɪmz kəlˈɛktɪvli kˈɔːld tˈɪnfɔɪlz.
The genus was only established in 1999, with the tinfoil barb (B. schwanenfeldii) as type species; thus, these fish are sometimes collectively called tinfoils.