Maya
The day you were born in the 260-day count.
Your day
Daykeepers in the Guatemalan highlands still keep this count, and often give a child the day of their birth as a sign of who they are.
The Maya day here is the date you were born on, by your local calendar. Some daykeepers start the day at sunrise instead.
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Three counts run at once. The Tzolk'in is 260 days: thirteen numbers turning against twenty named days, so each pairing comes round once.
The Haab' is the year of 365 days: eighteen months of twenty, and five more at the end. The Long Count numbers the days since the start of this world, 11 August 3114 BC, in units of 1, 20, 360, 7,200 and 144,000 days.
All three are tied to our calendar by the correlation most scholars use, 584283, which puts the end of the thirteenth b'ak'tun on 21 December 2012.
Dreamspell kin
A newer count, set out in 1987, and the one most "galactic signature" sites show.
29 February is 0.0 Hunab Ku in the Dreamspell, a day outside the count. It shares 28 February's kin.
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This is a different count from the one above. The Dreamspell runs a 260-day count of its own, and it skips 29 February, so the two counts drift a day apart every leap year.
The Dreamspell and its 13 Moon calendar are the work of José and Lloydine Argüelles (Foundation for the Law of Time).