The Aztec numerals, which were **vigesimal** or reckoned by scores, were depicted by dots or circles up to 20, which was represented by a flag, 400 (a score of scores) by a feather, and 8000 (a score of scores of scores) by a purse; but for convenience these symbols might be halved and quartered, so that 534 might be shown by one feather, one quarter of a feather, one flag, one-half of a flag, and four dots.

Notation of Numerical Quantities 2.6 (i) **Vigesimal** Scale 2.7 (ii) Roman System 2.8 21.

As the latter is due to finger-reckoning, so the use of the fingers and the toes produced a **vigesimal** scale.

Examples of this are given in § 20; it is worthy of notice that the **vigesimal** (or, rather, quinary-quaternary) system was used by the Mayas of Yucatan, and also, in a more perfect form, by the Nahuatl (Aztecs) of Mexico.

(ii) Beyond ten, and in many cases beyond five, the names have reference to the use of the fingers, and sometimes of the toes, for counting; and the scale may be quinary, denary or **vigesimal**, according as one hand, the pair of hands, or the hands and feet, are taken as the new unit.

This is the case, for instance, in the Celtic languages; and the Breton or Gaulish names have affected the Latin system, so that the French names for some numbers are on the **vigesimal** system.