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Tzolk’in · 13 × 20

13 × 20

Recorded

Maya sacred round: 13 coefficients against 20 named days = 260 unique days

Two wheels. Thirteen numbers. Twenty names. Two hundred sixty unique days before the pair repeats.

Two wheels

13the numbers

20the names

260unique days

  1. 1Imix
  2. 2Ik’
  3. 3Ak’bal
  4. 4K’an
  5. 5Chikchan
  6. 6Kimi
  7. 7Manik’
  8. 8Lamat
  9. 9Muluk
  10. 10Ok
  11. 11Chuwen
  12. 12Eb’
  13. 13B’en
  14. 14Ix
  15. 15Men
  16. 16Kib’
  17. 17Kab’an
  18. 18Etz’nab’
  19. 19Kawak
  20. 20Ajaw
13 and 20 share no common factor except 1, so the round is the product. Haab is eighteen twenties plus five. Dresden’s Venus is another wheel. 42 is not a tooth.

What it supports

A child can watch two wheels. One has thirteen numbers. One has twenty names. A day is a pair, 4 K’an. They do not meet the same pair again until two hundred sixty days have passed. That is the sacred round, still used in some Maya communities. 13 and 20 share no common factor except 1, so the least common multiple is the product. The Haab is eighteen twenties plus five nameless days, 365. Those two wheels together make the Calendar Round, 18,980 days, about fifty-two vague years. The Long Count is vigesimal with one 18, so a tun is 360. Dresden’s Venus table is five synodic periods against eight Haab. FAMSI and Van Stone’s factor list name 13, 20, 9, 260, 365, 584, 819. They do not name 42.

What it does not

Not a 42 civilization. Adding 13 and 20 and the nine Lords of the Night is gymnastics after the fact. A k’atun is twenty tuns, about 19.7 years, not forty-two. Colonial Chilam Balam sometimes speaks of a 24-year Ahau katun; that is another argument, still not 42. The Dresden Codex is a Venus neighbor, not a hidden 42.

Discovery order

Control case. Egypt’s 42s are counted. Maya time is 13 and 20.

ExactnessCount

FormOther form

Unitdays

Strengthhard

WhenClassic Maya / living Tzolk’in

Hung11 September 2026

Source

FAMSI · Maya calendrics · Tzolk’in 13 × 20 = 260

Owner

THE 42 INDEX