(Q90711969)

English

Gregorian dominical cycle

cycle of 7-day weeks in a solar calendar over 400 years (Gregorian and Julian dominical cycles first matched on a secular leap year in 1200 AD, with dominical letter BA and a gap of 7 days between their dates)

Gregorian cycle

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1200^Gregorian

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duration

400 year

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defining formula

{\begin{aligned}\mathrm {DL} &=DL[(y{\bmod {7}}\times 2+y{\bmod {4}}+c{\bmod {4}})\times 2{\bmod {7}}],\\&{\begin{cases}DL[0]=\mathrm {'G'} ,\quad DL[1]=\mathrm {'F'} ,\quad DL[2]=\mathrm {'E'} ,\\DL[3]=\mathrm {'D'} ,\quad DL[4]=\mathrm {'C'} ,\quad DL[5]=\mathrm {'B'} ,\\DL[6]=\mathrm {'A'} .\end{cases}}\end{aligned}}

applies to part, aspect, or form

January 1

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