A far more common method of progression is furnished by languages which interrupt the quinary formation at 10, and express that number by a single word. Any scale in which this takes place can, from this point onward, be quinary only in the subordinate sense to which allusion has just been made. Examples of this are furnished in a more or less perfect manner by nearly all so-called quinary-vigesimal and quinary-decimal scales. As fairly representing this phase of number-system structure, I have selected the first 20 numerals from the following languages: WELSH.[240] 1. un. 2. dau. 3. tri. 4. pedwar. 5. pump. 6. chwech. 7. saith. 8. wyth. 9. naw. 10. deg. 11. un ar ddeg = 1 + 10. 12. deuddeg = 2 + 10. 13. tri ar ddeg = 3 + 10. 14. pedwar ar ddeg = 4 + 10. 15. pymtheg = 5 + 10. 16. un ar bymtheg = 1 + 5 + 10. 17. dau ar bymtheg = 2 + 5 + 10. 18. tri ar bymtheg = 3 + 5 + 10. 19. pedwar ar bymtheg = 4 + 5 + 10. 20. ugain. NAHUATL.[241] 1. ce. 2. ome. 3. yei. 4. naui. 5. macuilli. 6. chiquacen = [5] + 1. 7. chicome = [5] + 2. 8. chicuey = [5] + 3. 9. chiucnaui = [5] + 4. 10. matlactli. 11. matlactli oce = 10 + 1. 12. matlactli omome = 10 + 2. 13. matlactli omey = 10 + 3. 14. matlactli onnaui = 10 + 4. 15. caxtolli. 16. caxtolli oce = 15 + 1. 17. caxtolli omome = 15 + 2. 18. caxtolli omey = 15 + 3. 19. caxtolli onnaui = 15 + 4. 20. cempualli = 1 account. CANAQUE[242] NEW CALEDONIA. 1. chaguin. 2. carou. 3. careri. 4. caboue 5. cani. 6. cani-mon-chaguin = 5 + 1. 7. cani-mon-carou = 5 + 2. 8. cani-mon-careri = 5 + 3. 9. cani-mon-caboue = 5 + 4. 10. panrere. 11. panrere-mon-chaguin = 10 + 1. 12. panrere-mon-carou = 10 + 2. 13. panrere-mon-careri = 10 + 3. 14. panrere-mon-caboue = 10 + 4. 15. panrere-mon-cani = 10 + 5. 16. panrere-mon-cani-mon-chaguin = 10 + 5 + 1. 17. panrere-mon-cani-mon-carou = 10 + 5 + 2. 18. panrere-mon-cani-mon-careri = 10 + 5 + 3. 19. panrere-mon-cani-mon-caboue = 10 + 5 + 4. 20. jaquemo = 1 person. GUATO.[243] 1. cenai. 2. dououni. 3. coum. 4. dekai. 5. quinoui. 6. cenai-caicaira = 1 on the other? 7. dououni-caicaira = 2 on the other? 8. coum-caicaira = 3 on the other? 9. dekai-caicaira = 4 on the other? 10. quinoi-da = 5 x 2. 11. cenai-ai-caibo = 1 + (the) hands. 12. dououni-ai-caibo = 2 + 10. 13. coum-ai-caibo = 3 + 10. 14. dekai-ai-caibo = 4 + 10. 15. quin-oibo = 5 x 3. 16. cenai-ai-quacoibo = 1 + 15. 17. dououni-ai-quacoibo = 2 + 15. 18. coum-ai-quacoibo = 3 + 15. 19. dekai-ai-quacoibo = 4 + 15. 20. quinoui-ai-quacoibo = 5 + 15.