1. alapea. 2. tamop. 3. tamlip. 4. lokep. 5. lokep moile alapea = 4 with 1, or is-alapea = hand 1. 6. lokep moile tamop = 4 with 2. 7. lokep moile tamlip = 4 with 3. 8. lokep moile lokep = 4 with 4. 9. lokep moile lokep alapea = 4 with 4-1. 10. is yaoum = all the fingers of hand. 11. is yaoum moile alapea = all the fingers of hand with 1. 20. is elu yaoum = all the fingers of hand and foot. 30. is elu yaoum moile is-yaoum = all the fingers of hand and foot with all the fingers of hand. Still another instance of quaternary counting, this time carrying with it a suggestion of binary influence, is furnished by the Mocobi[207] of the Parana region. Their scale is exceedingly rude, and they use the fingers and toes almost exclusively in counting; only using their spoken numerals when, for any reason, they wish to dispense with the aid of their hands and feet. Their first eight numerals are: 1. iniateda. 2. inabaca. 3. inabacao caini = 2 above. 4. inabacao cainiba = 2 above 2; or natolatata. 5. inibacao cainiba iniateda = 2 above 2-1; or natolatata iniateda = 4-1. 6. natolatatata inibaca = 4-2. 7. natolata inibacao-caini = 4-2 above. 8. natolata-natolata = 4-4. There is probably no recorded instance of a number system formed on 6, 7, 8, or 9 as a base. No natural reason exists for the choice of any of these numbers for such a purpose; and it is hardly conceivable that any race should proceed beyond the unintelligent binary or quaternary stage, and then begin the formation of a scale for counting with any other base than one of the three natural bases to which allusion has already been made. Now and then some anomalous fragment is found imbedded in an otherwise regular system, which carries us back to the time when the savage was groping his way onward in his attempt to give expression to some number greater than any he had ever used before; and now and then one of these fragments is such as to lead us to the border land of the might-have-been, and to cause us to speculate on the possibility of so great a numerical curiosity as a senary or a septenary scale. The Bretons call 18 _triouec'h_, 3-6, but otherwise their language contains no hint of counting by sixes; and we are left at perfect liberty to theorize at will on the existence of so unusual a number word. Pott remarks[208] that the Bolans, of western Africa, appear to make some use of 6 as their number base, but their system, taken as a whole, is really a quinary-decimal. The language of the Sundas,[209] or mountaineers of Java, contains traces of senary counting. The Akra words for 7 and 8, _paggu_ and _paniu_, appear to mean 6-1 and 7-1, respectively; and the same is true of the corresponding Tambi words _pagu_ and _panjo_.[210] The Watji tribe[211] call 6 _andee_, and 7 _anderee_, which probably means 6-1.