mcal: explain what Tzolkʼin is

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Quantum 2025-07-18 03:22:31 -04:00
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<h4 class="card-title">How does it work?</h4>
<p class="lead">A year consists of 12 months of 30 days each, divided into three <em>décades</em> of 10 days
each, followed by 5 complementary days (6 in leap years).</p>
<p>The year starts on the day of the autumnal equinox at the Paris Observatory (longitude 2°2014.03″ E). A
leap year follow directly from this definition: a year is a leap year when the next autumnal equinox
happens 366 days later instead of the normal 365. By this definition, the year will <b>never</b> drift
with respect to the seasons.</p>
<p>The 12 months are: <em>Vendémiaire</em>, <em>Brumaire</em>, <em>Frimaire</em>, <em>Nivôse</em>, <em>Pluviôse</em>,
<em>Ventôse</em>, <em>Germinal</em>, <em>Floréal</em>, <em>Prairial</em>, <em>Messidor</em>, <em>Thermidor</em>,
<em>Fructidor.</em> Every three months represent a season, and the endings of the names reflect this
fact.</p>
<p>The complementary days are: <em>la Fête de la Vertu</em>, <em>la Fête du Génie</em>, <em>la Fête du
Travail</em>, <em>la Fête de l'Opinion</em>, <em>la Fête des Récompenses,</em> and <em>la Fête de la
Révolution</em> (leap years only).</p>
<h4 class="card-title">How does Tzolkʼin work?</h4>
<p class="lead">The Tzolkʼin is composed from two concurrent cycles&mdash;the number 1 to 13, and a list of
20 day names.</p>
<p>The day name are: Imix, Ikʼ, Akʼbʼal, Kʼan, Chikchan, Kimi, Manikʼ, Lamat, Muluk, Ok, Chuwen, Ebʼ, Bʼen,
Ix, Men, Kibʼ, Kabʼan, Etzʼnabʼ, Kawak, and Ajaw.</p>
<p>Note that the day name and number cycles are completely independent and advance concurrently. This means
that 1 Imix is followed by 2 Ikʼ and so on. There is no definite start or end to this cycle, but day
names repeat every 260 days, which is the least common multiple of 13 and 20.</p>
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