532-year cycle

Alexandrian lunar calendar and Paschal cycles

Alexandrian era

1 Thoth, 1 AM = 29 August, 5493 BC
1 Thoth, 5493 AM = 29 August, 1 BC

Default: Thoth 1, AM 5853 = Aug 29, AD 360

532-year cycles

Selected date within the Alexandrian and Julian 532-year cycles

Alexandrian 532-year cycle Civil Thoth 1 boundary
1/532
Julian 532-year cycle Civil January 1 boundary
1/532

Julian civil date

Julian calendar
= —
1 January
Paschalis 14
Easter Sunday
1 Thoth

Alexandrian lunar calendar

Alexandrian ecclesiastical lunar month containing the selected civil date
Lunar Month Luna 1 Luna 14 Easter Sunday
Month
Year
1/19
Calendar and cycle notes
Era epochs and civil-date navigation: The default date is 1 Thoth, AM 5853 = 29 August, AD 360 Julian, and the Reset button returns to it. The Anno Mundi button jumps to 1 Thoth, 1 AM = 29 August, 5493 BC Julian. The Incarnation button jumps to 1 Thoth, 5493 AM = 29 August, 1 BC Julian. The Julian civil-date panel is the active date selector; its arrow controls change year, month, day, and weekday, while the four compact navigators move to the previous or next 1 January, Paschalis 14, Easter Sunday, or 1 Thoth.

Cycle numbering: The Alexandrian 532-year cycle runs from Thoth 1 to the next Thoth 1, with AM 1 as 1/532 and repetition after year 532. The Julian 532-year cycle runs from 1 January to the next 1 January, with 1 January, 1 BC as 1/532 and repetition after year 532. Each cycle field has its own 1/532 navigator.

Alexandrian lunar calendar display: Only the lunar month containing the selected civil date is shown. The helper line gives the lunar-year type and the selected date’s position in the continuous 19-year lunar sequence as X/19. Its row gives the lunar-month number and length, the Alexandrian and Julian dates (with weekday) of Luna 1 and Luna 14, and the selected date's Luna number. The lunation marked Paschalis is the one whose Luna 14 falls from Phamenoth 25 through Pharmuthi 23; for that month the row also shows Easter Sunday, defined here as the first Sunday strictly after Paschalis Luna 14. If the selected civil date falls across a lunar-year boundary, the calendar still resolves and shows the correct lunar month and Luna without displaying a separate boundary notice. The panel also identifies whether the lunar year is common or embolismic and gives its lunar-year length in days; cycle year 19 is shown as 383 days because of the saltus lunae. The Month navigator moves to Luna 1 of the previous or next lunar month, the Year navigator moves to Month 1, Luna 1 of the previous or next lunar year, and the 1/19 navigator moves to the previous or next 19-year cycle start where Thoth 1 is Month 1, Luna 1. Dates before 1 Thoth, 1 AM are outside the implemented Anno Mundi range, so the lunar row and lunar navigators are hidden and an epoch warning is shown.

Lunar construction: The calendar generates 235 lunations as one continuous 19-year sequence. Common years use twelve alternating 29/30-day months; embolismic years 3, 6, 8, 11, 14, 17, and 19 use thirteen alternating 30/29-day months. In cycle year 19 the final lunation is shortened to 29 days for the saltus lunae. Each Alexandrian civil year contributes 365 lunar-counted days: Epagomenae 6 can exist as an extra civil day in a leap year, but it does not advance the schematic lunar age.

Month names: This interface deliberately uses traditional historical Alexandrian/Greek-Latinized month forms rather than modern Coptic forms. The corresponding modern Coptic and Egyptian Arabic names are shown below in both Latin transliteration and their native scripts.
Historical Alexandrian month names with modern Coptic and Egyptian Arabic transliterations and native-script forms
Historical AlexandrianModern Coptic transliterationCoptic scriptModern Arabic transliterationArabic script
ThothToutⲐⲱⲟⲩⲧTutتوت
PhaophiPaopiⲠⲁⲟⲡⲓBabahبابه
AthyrHathorⲀⲑⲱⲣHaturهاتور
ChoiakKoiakⲬⲟⲓⲁⲕKiyahkكيهك
TybiTobiⲦⲱⲃⲓTubahطوبة
MechirMeshirⲘⲉϣⲓⲣAmshirأمشير
PhamenothParemhatⲠⲁⲣⲉⲙϩⲁⲧBaramhatبرمهات
PharmuthiParmoutiⲪⲁⲣⲙⲟⲩⲑⲓBaramudahبرمودة
PachonPashonsⲠⲁϣⲟⲛⲥBashansبشنس
PayniPaoniⲠⲁⲱⲛⲓBa'unahبؤونة
EpiphiEpipⲈⲡⲓⲡAbibأبيب
MesoriMesoriⲘⲉⲥⲱⲣⲓMisraمسرى
Epagomenae (5/6 days)Pi Kogi EnavotⲠⲓⲕⲟⲩϫⲓ ⲛ̀ⲁ̀ⲃⲟⲧal-Nasiالنسيء

Both modern-name columns in Latin letters are transliterations. The native Coptic forms are shown in Coptic script and the Egyptian Arabic forms in Arabic script; transliteration conventions vary.