Siman 491

On the conclusion of a Yom Tov, whether on the conclusion of a Yom Tov to a weekday or on the conclusion of a Yom Tov to Chol HaMoed – one recites Havdalah, because even Chol HaMoed is considered a weekday relative to Yom Tov. And one says "Atah Chonantanu," and the order of Havdalah is like on the conclusion of Shabbat. And even though it is not relevant now to say "between the seventh day and the six days of labor," nevertheless, such is the order of the Havdalot, and one proceeds to count the order of Havdalah even though it is not relevant now. However, one does not recite a blessing over the candle, since the candle was not forbidden on Yom Tov, nor over the besamim because on Yom Tov there is no neshamah yetirah. And that which one does not recite a blessing over the besamim from Shabbat to Yom Tov – is because there are good foods (Magen Avraham). And in siman 473 this was further explained. And one whose meal extended on the last day of Pesach until the night, and he recited Havdalah – he is permitted to eat chametz even though he has not yet prayed Arvit (Magen Avraham). For the matter of chametz is not related to the prayer, and since it is night – it is permitted to eat chametz. But when he has not recited Havdalah – the sanctity of Yom Tov is still upon him.

A Yom Tov that falls on Saturday night, one says in "Atah Vechartanu": "Vatodienu." For "Atah Chonantanu" cannot be said, as it is not a weekday; rather, the holy Shabbat is more stringent than Yom Tov, as we conclude in Havdalah, "between holy and holy." And in the prayer there is no concluding blessing for the Havdalah, therefore it is necessary to first establish that Yom Tov is also holy, but that Shabbat is holier. And for this we say, "And You have given us as an inheritance times of joy and holy festivals… and You have bequeathed to us the sanctity of Shabbat, and the honor of the festival, and the celebration of the pilgrimage." And this is like the matter of "Who distinguishes between holy and holy." And in the Gemara they called this a "precious pearl," because in it the loftiness of the levels of Israel, the Shabbat, and Yom Tov are clarified.