Tool to convert to/from mayan numbers system. The Maya numeral system uses a mix of base 20 (vigesimal) and base 5 (and also 360 numerals)

Mayan Numerals - dCode

Tag(s) : Numeral System, History, Symbol Substitution

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Tool to convert to/from mayan numbers system. The Maya numeral system uses a mix of base 20 (vigesimal) and base 5 (and also 360 numerals)

Numbers have to be converted in base 20 (vigesimal base) with simple glyphs (with dots and horizontal bars). Each dot equals 1 and each bar equals 5. The mayan civilization used a vertical writing of the numbers.

Example: for 19

Example:

for 26

The Mayas seemed to use a specific rule, a modified Vigesimal system, for the third floor when they wrote dates and sometimes for large numbers. Indeed, for dates, the third place always stops at 360 (base 10). The number 360 is therefore written as 400. This change on the third floor refers to the following numbers so the number 7200 is written 8000. The reasons for this vigesimal notation (base 20) for dates and large numbers (> 360) are not known, and although a majority of the retrieved writings use the modified system, this is not always the case.

Example: In base 20 (vigesimal system) 360 is normally written , but in modified base 20 (modified vigesimal system), 360 is written (which equals 400 in unmodified base 20)

Converting is made by counting symbols and convert it from base 20 to base 10.

Example: 2 dots + 3 bars = 2*1+3*5 = 17

Example: 1 dot then (under) 2 dots = 1*20+2*1 = 22

Beyond 360, be sure to apply the modified system if necessary.

The first mayan numbers are:

0(zero) | 1 | 2 | 3 | 4 | |||||
---|---|---|---|---|---|---|---|---|---|

5 | 6 | 7 | 8 | 9 | |||||

10 | 11 | 12 | 13 | 14 | |||||

15 | 16 | 17 | 18 | 19 | |||||

20 | 21 | 22 | 23 | 24 | |||||

40 | 60 | 80 | 100 |

For others maya numbers, use the form just above.

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Source : https://www.dcode.fr/mayan-numbers

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