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- The image "[ANDgate](res/and.jpg)" was created by [James Schloss](https://github.com/leios) and is licenced under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
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- The image "[ORgate](res/or.jpg)" was created by [James Schloss](https://github.com/leios) and is licenced under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
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- The image "[XORgate](res/xor.jpg)" was created by [James Schloss](https://github.com/leios) and is licenced under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
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- The image "[NOTgate](res/not.jpg)" was created by [James Schloss](https://github.com/leios) and is licenced under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
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- The image "[NANDgate](res/nand.jpg)" was created by [James Schloss](https://github.com/leios) and is licenced under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
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- The image "[NORgate](res/nor.jpg)" was created by [James Schloss](https://github.com/leios) and is licenced under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
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- The image "[ANDgate](res/and.jpg)" was created by [James Schloss](https://github.com/leios) and is licensed under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
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- The image "[ORgate](res/or.jpg)" was created by [James Schloss](https://github.com/leios) and is licensed under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
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- The image "[XORgate](res/xor.jpg)" was created by [James Schloss](https://github.com/leios) and is licensed under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
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- The image "[NOTgate](res/not.jpg)" was created by [James Schloss](https://github.com/leios) and is licensed under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
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- The image "[NANDgate](res/nand.jpg)" was created by [James Schloss](https://github.com/leios) and is licensed under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
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- The image "[NORgate](res/nor.jpg)" was created by [James Schloss](https://github.com/leios) and is licensed under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
- The image "[example Image](res/example.png)" was created by [James Schloss](https://github.com/leios) and is licenced under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
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- The image "[example Image](res/example.png)" was created by [James Schloss](https://github.com/leios) and is licensed under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
This calendar shows the date the paschal full moon, indicating that Easter will be the following Sunday {{ "servois" | cite }}.
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In this table, a value greater than 22 indicates the full moon will be on the presented number in March and a value less than 22 indicates the full moon will be on that date in April.
@@ -74,12 +74,12 @@ In most cases, this is approximately 27.5 days {{ "lunar_month_wiki" | cite }}.
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That said, space is complicated and the Moon is not the only revolving body.
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Lunar phases are related to the time it takes for the Moon to return to its location *in relation to* the line connecting the Sun and Earth, as shown below:
Here, we show an outline of the Earth and Moon in an arbitrary initial position, each with an angle of $$-\frac{\pi}{4}$$ from the horizontal axis.
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In addition, we show the location of the Moon and Earth again after 6 synodic months.
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Each synodic month is approximately 29.5 days, so a synodic year of 12 lunar months is 354 days, which is 11 days shorter than the normal 365 days in a Gregorian year.
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The following is a pictorial representation of offset between a solar and lunar year:
Here, we see the Sun at the center, with the Earth and Moon starting the year at an angle of $$-\frac{\pi}{4}$$ from the horizontal axis.
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The initial location of the Earth and Moon are initially shown as an outline with an A at their center.
@@ -137,7 +137,7 @@ $$
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p = \left\lfloor\frac{13+8k}{25}\right\rfloor.
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$$
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This expression represents the fact that the Metonic cycle will be 8 days off every 2500 years and adds an additional offset of 13 to ensure the Metonic cycle aligns with emperical observation.
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This expression represents the fact that the Metonic cycle will be 8 days off every 2500 years and adds an additional offset of 13 to ensure the Metonic cycle aligns with empirical observation.
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At this point, we know what year we are at on the Metonic calendar and have calculated an offset accordingly; however, we have yet to take into account leap years.
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As stated above, there are 97 leap days every 400 years, and the calculation of $$p$$ above requires correction for the 3 leap days missed.
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From here, we simply need to create a two-dimensional array with the decade on the $$y$$ axis and year on the $$x$$ axis and set within it the value of $$(21+d)~\%~31$$, where the 21 represents the 21st of March, and the $$\%~31$$ comes from the fact that there are 31 days in March.
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For example, if we were to do this computation for the years from 2000 to 2099, we would find the following table:
- The image "[Servois 1800 Colored Table](res/servois_1800.png)" was created by [James Schloss](https://github.com/leios) and is licenced under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
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- The image "[Servois 1800 Colored Table](res/servois_1800.png)" was created by [James Schloss](https://github.com/leios) and is licensed under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
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- The image "[Relative Orbits](res/orbit.svg)" was created by [Xadisten](https://github.com/lockcmpxchg8beax) and was provided during a discussion on Twitch. It is licensed under the [Creative Commons Attribution 4.0 International License](https://creativecommons.org/licenses/by/4.0/legalcode).
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- The image "[Synodic Half Year](res/synodic_half_year.png)" was created by [James Schloss](https://github.com/leios) and is licenced under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
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- The image "[Full Year Orbit](res/orbit.png)" was created by [James Schloss](https://github.com/leios) and is licenced under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
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- The image "[Servois 2000 Colored Table](res/servois_2000.png)" was created by [James Schloss](https://github.com/leios) and is licenced under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
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- The image "[Synodic Half Year](res/synodic_half_year.png)" was created by [James Schloss](https://github.com/leios) and is licensed under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
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- The image "[Full Year Orbit](res/orbit.png)" was created by [James Schloss](https://github.com/leios) and is licensed under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
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- The image "[Servois 2000 Colored Table](res/servois_2000.png)" was created by [James Schloss](https://github.com/leios) and is licensed under the [Creative Commons Attribution-ShareAlike 4.0 International License](https://creativecommons.org/licenses/by-sa/4.0/legalcode).
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