Reply To: interesting calendar phenomenon

Pesach reveals all other holidays, see SA O’CH 428,3.
אדו לא ראש Rosh Hashana cannot fall on Sunday because then Hashana Rabba would fall on shahbbos and knocking down the hoshanas would be eliminated. It cannot fall on Wednesday or Friday as we cannot have to consecutive days were no work can be done. So Yom Kippur cannot fall on Friday or Sunday respectively and as a consequence בדו לא פסח.