Shulchan Arukh Orach Chayim · Siman 582

English

The Order of Prayers for the Ten Days of Repentance and Rosh HaShana. And in it is 9 paragraphs. In the Ten Days of Repentance say The Holy King and The King of Judgment. If one made a mistake or even if one is uncertain, (the rule is as follows:) If it is with "HaMelech HaKadosh" he should go back to the beginning. If it is HaMelech HaMishpat if prior to uprooting his feet, he should go back to the Birchas Hasheveinu and say from there and on according to the order. If he did not remember until he uprooted his feet ( see before the end of Siman 117 ) he should got back to the beginning (i.e. repeat). [ Also see Siman 118 .]

English

If one said The Holy God and within a moment he remembered and says The Holy King, he does not need to go return (the beginning). The same rule applies with The Holy Judge.

English

In the Shabbos between (R'H and Yom Kippur), at Maariv say in the Birchas Mein Sheva The Holy King. Rema: So to if Rosh HaShana was on Shabbos but the conclusion is Shabbos alone. And the same is if Yom Kippur was on Shabbos [Maharil and Minhagim]

English

There are those who have the custom to pray on Rosh HaShanah and on Yom Kippur while bowing; it is necessary for them to straighten up at the end of the blessings

English

If one did not say "Remember Us" or "Who is like You", one does not return to it. Rema: Even if one did not uproot their feet yet, rather that the Blessing was completed (Terumas HaDeshen). So to if one did not say "And write" and "and in the Book" also the rule is so (Tur)

English

And in the Prayers (of Rosh HaShana) say "vTiten Lanu Es Yom HaZichron Hazeh" "And He gave to us this Day of Remembrance", and do not mention Rosh Chodesh.

English

If (Rosh HaShana) is during the week, say "A Day of Blasting, a Holy Convocation". If it fell on Shabbos, say "a Reminder of Blasting".

English

We do not say "holidays for joy, pilgrimages and times for happiness" and we do not say "and grant for us...". During Mussaf, we do not say "we are unable to ascend and be seen before You." Instead, we say "we are unable to perform our obligations for You," (and we conclude the blessing with "Your word is truth etc.") (Tur).

English

Even though during the rest of the year we pray silently, on Rosh Hashanah we have the practice to pray out loud. There is no concern about getting lost because everybody has a Machzor. Rem"a: It is the practice that everybody says to their fellow "May you be inscribed for a good year" (Tur).