Hoshannah Rabbah: The forgotten High Holiday
(מ) וּלְקַחְתֶּ֨ם לָכֶ֜ם בַּיּ֣וֹם הָרִאשׁ֗וֹן פְּרִ֨י עֵ֤ץ הָדָר֙ כַּפֹּ֣ת תְּמָרִ֔ים וַעֲנַ֥ף עֵץ־עָבֹ֖ת וְעַרְבֵי־נָ֑חַל וּשְׂמַחְתֶּ֗ם לִפְנֵ֛י יְהוָ֥ה אֱלֹהֵיכֶ֖ם שִׁבְעַ֥ת יָמִֽים׃
(40) On the first day you shall take the product of hadar trees, branches of palm trees, boughs of leafy trees, and willows of the brook, and you shall rejoice before the LORD your God seven days.

(א) לוּלָב וַעֲרָבָה, שִׁשָּׁה וְשִׁבְעָה. הַהַלֵּל וְהַשִּׂמְחָה, שְׁמֹנָה. סֻכָּה וְנִסּוּךְ הַמַּיִם, שִׁבְעָה. וְהֶחָלִיל, חֲמִשָּׁה וְשִׁשָּׁה:

(1) The [shaking of the] lulav and the [ritual of the] willow [branches were each done, at times] on six [days of the festival], and [at times] on seven. The [recitation of the] Hallel, and the simchah [the obligation to bring Shelamim sacrifices to the Temple as part of the rejoicing on the three pilgrimage festivals] were each done on eight [days]. The [dwelling in the] sukkah, and the water libations [were each done] on seven [days]. And the flute [was played, at times] on five, and [at times] on six.

(ג) עֲרָבָה שִׁבְעָה כֵּיצַד, יוֹם שְׁבִיעִי שֶׁל עֲרָבָה שֶׁחָל לִהְיוֹת בְּשַׁבָּת, עֲרָבָה שִׁבְעָה, וּשְׁאָר כָּל הַיָּמִים שִׁשָּׁה:

(3) How is [the ritual of] the willow [branches done] on seven? If the seventh day of the willow [ritual] falls on Shabbat, [the ritual of] the willow [branches is done] on seven [days]; and [if it falls on] any of the other days [of the week, it is done] on six.

(ב) בְּאַרְבָּעָה פְרָקִים הָעוֹלָם נִדּוֹן, בְּפֶסַח עַל הַתְּבוּאָה, בַּעֲצֶרֶת עַל פֵּרוֹת הָאִילָן, בְּרֹאשׁ הַשָּׁנָה כָּל בָּאֵי הָעוֹלָם עוֹבְרִין לְפָנָיו כִּבְנֵי מָרוֹן, שֶׁנֶּאֱמַר (תהלים לג) הַיּוֹצֵר יַחַד לִבָּם, הַמֵּבִין אֶל כָּל מַעֲשֵׂיהֶם. וּבֶחָג נִדּוֹנִין עַל הַמָּיִם:

(2) At four times the world is judged: On Pesach, for the crops. On Shavuot, for the fruits of the tree. On Rosh Hashnah, all the world passes before Him like sheep, as it says, "He that fashioneth the hearts of them all, that considereth all their doings." (Psalms 33:15) And on Sukkot, they are judged for the water.

(ה) מִצְוַת עֲרָבָה כֵּיצַד, מָקוֹם הָיָה לְמַטָּה מִירוּשָׁלַיִם, וְנִקְרָא מוֹצָא. יוֹרְדִין לְשָׁם וּמְלַקְּטִין מִשָּׁם מֻרְבִּיּוֹת שֶׁל עֲרָבָה, וּבָאִין וְזוֹקְפִין אוֹתָן בְּצִדֵּי הַמִּזְבֵּחַ, וְרָאשֵׁיהֶן כְּפוּפִין עַל גַּבֵּי הַמִּזְבֵּחַ. תָּקְעוּ וְהֵרִיעוּ וְתָקָעוּ. בְּכָל יוֹם מַקִּיפִין אֶת הַמִּזְבֵּחַ פַּעַם אַחַת, וְאוֹמְרִים, אָנָּא ה' הוֹשִׁיעָה נָּא, אָנָּא ה' הַצְלִיחָה נָּא. רַבִּי יְהוּדָה אוֹמֵר, אֲנִי וָהוֹ הוֹשִׁיעָה נָּא. וְאוֹתוֹ הַיּוֹם מַקִּיפִין אֶת הַמִּזְבֵּחַ שֶׁבַע פְּעָמִים. בִּשְׁעַת פְּטִירָתָן, מָה הֵן אוֹמְרִים, יֹפִי לְךָ מִזְבֵּחַ, יֹפִי לְךָ מִזְבֵּחַ. רַבִּי אֱלִיעֶזֶר אוֹמֵר, לְיָהּ וּלְךָ, מִזְבֵּחַ. לְיָהּ וּלְךָ, מִזְבֵּחַ:

(5) How is the mitzvah of the willow [branches] done? There was a place below Jerusalem, and it is called Motzah. They would descend to there and gather from there large willow branches, and they would come and stand them upright on the sides of the altar, with their tips inclining over the alter. They would blow a tekiyah [a steady blast], and a teruah [a broken blast], and a tekiyah. Every day they would circle the altar one time and say, "We beseech you Hashem, redeem us, please; we beesech you Hashem, bring prosperity, please." Rabbi Yehudah says: [they would say,] "Ani vaho, bring redemption, please." [The literal meaning of this latter phrase, which perhaps contains hidden numerical meanings or names of Hashem, is unclear.] And on that particular day [i.e. the seventh days of willow ritual], they would circle the altar seven times. At the hour of their departure, what did they say? "Beauty for you, O altar! Beauty for you, O altar!" Rabbi Eliezer says: [they would say,] "For Hashem and for you, O altar! For Hashem and for you, O altar."