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Psalms · Psalm 137

עַל־נַהֲרוֹת
Soundal-na·ha·rot
Rootנהר
Value761

A lament of the exiles by the rivers of Babylon, mourning Jerusalem's memory and vowing never to forget her, while calling for justice against her destroyers.

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1 · · dedicate this verse

עַ֥ל־נַהֲר֨וֹת בָּבֶ֗ל שָׁ֣ם יָ֭שַׁבְנוּ גַּם־בָּכִ֑ינוּ בְּ֝זׇכְרֵ֗נוּ אֶת־צִיּֽוֹן

root נהר · value 761✦ dedicate this word
root בבל · value 34✦ dedicate this word
root שם · value 340✦ dedicate this word
root ישב · value 368✦ dedicate this word
root בכה · value 131✦ dedicate this word
root זכר · value 285✦ dedicate this word
root ציון · value 557✦ dedicate this word

By the rivers of Babylon, There we sat down, indeed, we wept, When we remembered Zion.

verse value 2476

Insights
Verse structure: 7 words, 36 letters. The shortest word is "there" (שָׁ֣ם, 2 letters) and the longest is "upon·rivers·of" (עַ֥ל־נַהֲר֨וֹת, 7 letters). 5 words in this verse appear nowhere else in Psalms. Unique to this verse in Psalms (hapax): "upon·rivers·of" (עַ֥ל־נַהֲר֨וֹת), "Babylon" (בָּבֶ֗ל), "we·sat" (יָ֭שַׁבְנוּ). 7 unique roots are used. Frequent roots: "there" (root שם, 119x in Psalms); "when·we·remembered" (root זכר, 64x in Psalms); "we·sat" (root ישב, 58x in Psalms). The etnachta (major mid-verse pause) falls on 'also·we·wept', dividing the verse into phrases of 5 and 2 words. Full calculation: עַ֥ל־נַהֲר֨וֹת [upon·rivers·of] (761) + בָּבֶ֗ל [Babylon] (34) + שָׁ֣ם [there] (340) + יָ֭שַׁבְנוּ [we·sat] (368) + גַּם־בָּכִ֑ינוּ [also·we·wept] (131) + בְּ֝זׇכְרֵ֗נוּ [when·we·remembered] (285) + אֶת־צִיּֽוֹן [Zion] (557) = 2476.
Rashi
"By the rivers of Babylon, there we sat" — when we went down into exile, and Nebuchadnezzar asked them to sing for him as they used to sing on the stage.
Ibn Ezra
"By the rivers of Babylon" — at the beginning of the book I mentioned the view of the commentators regarding this psalm; and this psalm is spoken in the voice of the Levites, who were the singers, [lamenting] their exile in Babylon. And the sense of "by the rivers" is that they withdrew there to be alone, away from the Babylonians, so that they would not hear their weeping; and further, because they had said, "we hung up our harps." And the sense of "we sat" is like one who is desolate — sitting, forlorn — hence the word "indeed" [gam].
Radak
"By" — This psalm is spoken in the voice of the Levites, the singers, who were exiled in the Babylonian exile — that is, "By the rivers of Babylon." There we sat in solitude, desolate, and we also wept when we remembered Zion.
Metzudat David
"By the rivers of Babylon" — David foresaw by the Holy Spirit that Nebuchadnezzar would exile Israel to Babylon, and he spoke in the voice of the Levites who would lament and recount what befell them along the way, saying: Behold, while we were by the rivers of Babylon, there we sat in a manner fitting for exiles, bowed down to the ground, and we also wept, because we remembered Zion, ruined and desolate.
Malbim
'By' — this [psalm] was composed in the first year that Cyrus conquered Babylon. 'By the rivers of Babylon' — what we wept over in Babylon, and mourned over concerning Zion, was not because we had lost the material goods of wealth and possessions, fields and vineyards; for indeed, 'by the rivers of Babylon, there we sat' — meaning, there we sat in a fixed settlement, and we had there too an inheritance of field and vineyard, as it is written (Jeremiah 29:5), 'Build houses and dwell in them, and plant vineyards and eat their fruit.' Yet nonetheless, 'we also wept when we remembered Zion,' because we remembered the holiness of Zion, where the Holy Temple, the [Temple] service, and the Divine Presence had been — it was over this that we wept, over the spiritual happiness that had been lost to us.
2 · · dedicate this verse

עַֽל־עֲרָבִ֥ים בְּתוֹכָ֑הּ תָּ֝לִ֗ינוּ כִּנֹּרוֹתֵֽינוּ

root ערב · value 422✦ dedicate this word
root תוך · value 433✦ dedicate this word
root תלה · value 496✦ dedicate this word
root כנור · value 742✦ dedicate this word

Upon the willows in the midst of it We hanged up our harps.

verse value 2093

Insights
Verse structure: 4 words, 25 letters. Verse gematria: 2093 is divisible by 13, the value of echad ('one') and ahavah ('love'). The shortest word is "in·its·midst" (בְּתוֹכָ֑הּ, 5 letters) and the longest is "our·harps" (כִּנֹּרוֹתֵֽינוּ, 8 letters). 3 words in this verse appear nowhere else in Psalms. Unique to this verse in Psalms (hapax): "upon·willows" (עַֽל־עֲרָבִ֥ים), "we·hung" (תָּ֝לִ֗ינוּ), "our·harps" (כִּנֹּרוֹתֵֽינוּ). 4 unique roots are used. The etnachta (major mid-verse pause) falls on 'in·its·midst', dividing the verse into phrases of 2 and 2 words. Full calculation: עַֽל־עֲרָבִ֥ים [upon·willows] (422) + בְּתוֹכָ֑הּ [in·its·midst] (433) + תָּ֝לִ֗ינוּ [we·hung] (496) + כִּנֹּרוֹתֵֽינוּ [our·harps] (742) = 2093.
Rashi
"On willows" — Willows of the brook.
Ibn Ezra
"Upon" — Rabbi Moshe said that "in its midst" [means] in the midst of Zion, before their exile. But in my opinion, "in its midst" [means] in Babylon, and the proof is "by the rivers of Babylon," for the willows were around the river; and since it says "rivers" [in the plural], this is proof that there were many, whereas there was no river in Jerusalem, for Hezekiah stopped up the Gichon, as is written in Chronicles (2 Chronicles 32:30). And there is another proof: that it was there, in Babylon, that they used to say, "sing us [a song]." And the word "v'tolaleinu" is difficult. Rabbi Yehudah the grammarian said that it is from the same root as [in the phrase] "upon a high, steep mountain, along a distant road" [i.e., a root meaning steep or hanging]. And Rabbi Moshe HaKohen said that "v'tolaleinu" is from the root of "yelalah" [wailing], on the pattern of "v'toshveinu" [our dwellers], as if it said "yelalateinu" [our wailing], and so he explained [the verse] to mean, "and in place of our wailing they had joy." But this is not correct, for there is no such thing mentioned in the verse — that in place of our wailing they had joy — for if so, why would they have been asking us to sing? And the great error is that "toshveinu" is a term describing a person, while [on his reading] "tolaleinu" would be [taken as] a noun [of a different kind — the two do not match]. In my own opinion, we find [the roots] "sarah" [as in] "you strove with God" (Genesis 32:29), and "tistarer aleinu gam hishtarer" ["you must also make yourself a prince over us"] (Numbers 16:13) — [examples of two-root variation]. And likewise, "they plundered him, all who pass by the road," from the doubled [geminate] roots; and "they were plundering the threshing floors" (1 Samuel 23:1), whose root is "shasah." So too, "talal" and "talah" are two roots with the same meaning. Thus "v'tolaleinu" is like [saying] "we hung [talinu] our harps" — so "v'tolaleinu" [means] "v'talinu," [namely] our instruments of joy — and so the sense is doubled [for emphasis]. And this was our reply: how could we sing?!
Radak
"Upon the willows" — willows of the brook, for willows grow on the banks of rivers. When we would sit on the riverbank with our harps in our hands, to strike up song as was our custom in Zion, then, when we brought Zion to mind, we would abandon our harps out of excessive grief, and we would hang them on the willows, and we would sit and weep. And the meaning of "in its midst" is: in the midst of Babylon.
Metzudat David
"Upon the willows" — Upon the willow trees by the stream we hung the harps on which we used to play in the Temple; their intent was to hide them from view among the branches of the trees, so that the enemy would not see them.
Metzudat Zion
"Willows" — the name of a non-fruit-bearing tree that grows by the streams, as in "and willows of the brook" (Leviticus 23). "We hanged up" — from the language of hanging.
Malbim
'Upon the willows in the midst of it' — even though we had in Babylon all the pleasures sweet and pleasant to the body, nevertheless, over this very thing, 'we hung up our harps,' and we did not wish to rejoice in [that] good fortune; and this itself was, for us, a cause of mourning — that the land of the enemy was full of pleasantness and delight, while the city of Hashem lay in ruins.
3 · · dedicate this verse

כִּ֤י שָׁ֨ם שְֽׁאֵל֪וּנוּ שׁוֹבֵ֡ינוּ דִּבְרֵי־שִׁ֭יר וְתוֹלָלֵ֣ינוּ שִׂמְחָ֑ה שִׁ֥ירוּ לָ֝֗נוּ מִשִּׁ֥יר צִיּֽוֹן

root כי · value 30✦ dedicate this word
root שם · value 340✦ dedicate this word
root שאל · value 393✦ dedicate this word
root שבה · value 374✦ dedicate this word
root דבר · value 726✦ dedicate this word
root תולל · value 538✦ dedicate this word
root שמח · value 353✦ dedicate this word
root שיר · value 516✦ dedicate this word
root לנו · value 86✦ dedicate this word
root שיר · value 550✦ dedicate this word
root ציון · value 156✦ dedicate this word

For there those who led us captive asked of us words of song, And our tormentors asked of us mirth: ‘Sing us one of the songs of Zion.'

verse value 4062

Insights
Verse structure: 11 words, 50 letters. Notable word values: "to·us" (לָ֝֗נוּ) = 86, equal to Elohim. The shortest word is "for" (כִּ֤י, 2 letters) and the longest is "and·our·tormentors" (וְתוֹלָלֵ֣ינוּ, 8 letters). 5 words in this verse appear nowhere else in Psalms. Unique to this verse in Psalms (hapax): "asked·us" (שְֽׁאֵל֪וּנוּ), "our·captors" (שׁוֹבֵ֡ינוּ), "words·of·song" (דִּבְרֵי־שִׁ֭יר). The root שיר appears 2 times in this verse. 10 unique roots are used. Frequent roots: "for" (root כי, 216x in Psalms); "words·of·song" (root דבר, 133x in Psalms); "there" (root שם, 119x in Psalms). The etnachta (major mid-verse pause) falls on 'joy', dividing the verse into phrases of 7 and 4 words. Full calculation: כִּ֤י [for] (30) + שָׁ֨ם [there] (340) + שְֽׁאֵל֪וּנוּ [asked·us] (393) + שׁוֹבֵ֡ינוּ [our·captors] (374) + דִּבְרֵי־שִׁ֭יר [words·of·song] (726) + וְתוֹלָלֵ֣ינוּ [and·our·tormentors] (538) + שִׂמְחָ֑ה [joy] (353) + שִׁ֥ירוּ [sing] (516) + לָ֝֗נוּ [to·us] (86) + מִשִּׁ֥יר [from·song·of] (550) + צִיּֽוֹן [Zion] (156) = 4062.
Rashi
"and our tormentors mirth" — Heb. ותוללינו, kinds of musical instruments that they hang up. This is how Menachem interpreted it (p. 184): וְתוֹלָלֵינוּ שמחה, and our musical instruments of joy. וְתוֹלָלֵינוּ can also be interpreted as: our enemies who would scorn and mock and joke with us, an expression of (102: 9): “those who scorn me (מהוללי) swear by me.”
Radak
"Asked of us" — from the regular verb pattern (pa'al), like "yish'alkha lemor" ["he will ask you, saying"]. When the Babylonians who had taken us captive found us, they would say to us that we should sing them the song of Zion; then we would weep and say to them, "How can we sing?" And the meaning of "and our tormentors [asked of us] mirth" — they would ask us for words of song, and concerning our harps which we had hung upon the willows, they would ask us to rejoice with them. And some explain "toleilenu" as related to "yelalatenu" ["our wailing"], so that "toleilenu" would follow the pattern of "toshvenu" ["our dwelling"] — that is, in place of our wailing they would tell us to rejoice.
Metzudat David
"For there" — That is to say, the reason for hiding them was that there our captors asked us to play words of song on the harps. "And our tormentors" — Those who mocked and jeered at us asked for words of joy, and said to us, 'Sing us [some] of the song that you used to sing in Zion.'
Metzudat Zion
"Those who led us captive" — from the language of captivity. "Our tormentors" — from the language of mockery and derision, as in "those who mock me have sworn" (above, Psalm 102).
Malbim
'For there our captors asked of us words of song' — for it was the custom in ancient times to sing songs recounting the praise of the land and country in which one lived, just as we were accustomed to sing songs in praise of Jerusalem; and they asked us about this matter of song. 'And our tormentors [asked us words of] mirth' (the words 'asked us words of' being understood as carried over from the previous clause) — and their request was, 'Sing us one of the songs of Zion' — meaning, a song that you used to sing in praise of Zion and of your prosperity there. 'Sing us [one],' for now Babylon is for you a land of your possession just like Jerusalem [was], and the land of the Chaldeans is your land just as the land of Israel was formerly; and the successes that you had there — do you not have the same with us? So why will you not sing, concerning Babylon, the song that you used to sing concerning Jerusalem?
4 · · dedicate this verse

אֵ֗יךְ נָשִׁ֥יר אֶת־שִׁיר־יְהֹוָ֑ה עַ֝֗ל אַדְמַ֥ת נֵכָֽר

root איך · value 31✦ dedicate this word
root שיר · value 560✦ dedicate this word
root יהוה · value 937✦ dedicate this word
root על · value 100✦ dedicate this word
root אדמה · value 445✦ dedicate this word
root נכר · value 270✦ dedicate this word

How shall we sing Hashem's song In a foreign land?

verse value 2343

Insights
Verse structure: 6 words, 25 letters. The shortest word is "upon" (עַ֝֗ל, 2 letters) and the longest is "the·song·of·Hashem" (אֶת־שִׁיר־יְהֹוָ֑ה, 9 letters). 3 words in this verse appear nowhere else in Psalms. Unique to this verse in Psalms (hapax): "we·shall·sing" (נָשִׁ֥יר), "the·song·of·Hashem" (אֶת־שִׁיר־יְהֹוָ֑ה), "ground·of" (אַדְמַ֥ת). 6 unique roots are used. Frequent roots: "the·song·of·Hashem" (root יהוה, 688x in Psalms); "upon" (root על, 120x in Psalms); "we·shall·sing" (root שיר, 68x in Psalms). The etnachta (major mid-verse pause) falls on 'the·song·of·Hashem', dividing the verse into phrases of 3 and 3 words. Full calculation: אֵ֗יךְ [how] (31) + נָשִׁ֥יר [we·shall·sing] (560) + אֶת־שִׁיר־יְהֹוָ֑ה [the·song·of·Hashem] (937) + עַ֝֗ל [upon] (100) + אַדְמַ֥ת [ground·of] (445) + נֵכָֽר [foreign] (270) = 2343.
Ibn Ezra
"Foreign" [nekhar] — an adjective; for "admat" [land of] is a word in the construct state, feminine, [as in] "the land of a foreign nation," or "the land of a foreign god" — the opposite of "the song of Hashem."
Radak
"Upon a foreign soil" — the soil of a foreign god, the opposite of a song to Hashem.
Metzudat David
"How shall we sing" — That is to say, we said then in our hearts: How shall we sing the song of Hashem on foreign soil, which is not the place of the Temple? Because we feared that they would force us to sing, for this reason we hid them from view and said that they had been lost along the way.
Malbim
'How' — they answer, saying: 'How shall we sing Hashem's song upon foreign soil?' Even though we could sing to you the songs of material prosperity that we used to sing in Zion — for here too we prosper in [worldly] successes — but the song of Hashem, the holy song that we used to sing in Zion, concerning the Divine Presence that was there, and concerning the manifestation of the holy spirit (ruach ha-kodesh) and prophecy, and the glory of Hashem, and the Torah, and the [Temple] service, and the miracles — this divine song, how shall we sing it upon foreign soil, which is unfit for these spiritual endowments?
5 · · dedicate this verse

אִֽם־אֶשְׁכָּחֵ֥ךְ יְֽרוּשָׁלִָ֗ם תִּשְׁכַּ֥ח יְמִינִֽי

root שכח · value 390✦ dedicate this word
root ירושלם · value 586✦ dedicate this word
root שכח · value 728✦ dedicate this word
root ימין · value 120✦ dedicate this word

If I forget you, O Jerusalem, Let my right hand forget her cunning.

verse value 1824

Insights
Verse structure: 4 words, 22 letters. The shortest word is "let·it·forget" (תִּשְׁכַּ֥ח, 4 letters) and the longest is "if·I·forget·you" (אִֽם־אֶשְׁכָּחֵ֥ךְ, 7 letters). 2 words in this verse appear nowhere else in Psalms. Unique to this verse in Psalms (hapax): "if·I·forget·you" (אִֽם־אֶשְׁכָּחֵ֥ךְ), "my·right·hand" (יְמִינִֽי). The root שכח appears 2 times in this verse. 3 unique roots are used. Frequent roots: "my·right·hand" (root ימין, 43x in Psalms); "if·I·forget·you" (root שכח, 34x in Psalms). Full calculation: אִֽם־אֶשְׁכָּחֵ֥ךְ [if·I·forget·you] (390) + יְֽרוּשָׁלִָ֗ם [Jerusalem] (586) + תִּשְׁכַּ֥ח [let·it·forget] (728) + יְמִינִֽי [my·right·hand] (120) = 1824.
Rashi
"If I forget you, O Jerusalem" — The congregation of Israel says this.
Ibn Ezra
"If" — the words of each one of the singers, in their heart[s]. And the sense of "if I forget you" corresponds to "when we remembered" [in verse 1]. And the sense of "my right hand" is because of our harps, for it is the right hand that plucks the strings and does the [musical] work. "[Let] my right hand forget" — [the object] is missing, as if [it said] "its skill," and he attributes the forgetting to the right hand, by way of a figure of speech. And some say that its meaning is "let it wither" — without support elsewhere.
Radak
"Let my right hand forget" — meaning, let it forget the melody, for it is the right hand that moves [the strings of] the harp.
Metzudat David
"If I forget you" — He speaks in the voice of the exiles, who would say: If I forget you, Jerusalem, then may my right hand forget its strength and its movement.
Malbim
'If I forget you, Jerusalem, let my right hand forget [its skill]' — he expresses poetically that just as the right hand is ready at hand for a person in all his movements and dealings, so is Jerusalem the object of affection in all our movements and dealings, to the point that it is impossible to forget her, just as it is impossible to forget one's right hand. And more than this — 'let my tongue cling to my palate if I do not remember you' — for all my speech concerns you, and if I do not speak in remembrance of you, I will be like a mute person whose tongue clings to his palate; and not only in the time when I am exiled and turned away, but also, 'if I do not raise Jerusalem above the height of my joy' — even if I rejoice in worldly success, Jerusalem shall rise above it, to the point that all joy will turn to sorrow through the remembrance of her destruction.
6 · · dedicate this verse

תִּדְבַּֽק־לְשׁוֹנִ֨י לְחִכִּי֮ אִם־לֹ֢א אֶ֫זְכְּרֵ֥כִי אִם־לֹ֣א אַ֭עֲלֶה אֶת־יְרוּשָׁלִַ֑ם עַ֝֗ל רֹ֣אשׁ שִׂמְחָתִֽי

root דבק · value 902✦ dedicate this word
root חך · value 68✦ dedicate this word
root אם · value 72✦ dedicate this word
root זכר · value 258✦ dedicate this word
root אם · value 72✦ dedicate this word
root עלה · value 106✦ dedicate this word
root ירושלם · value 987✦ dedicate this word
root על · value 100✦ dedicate this word
root ראש · value 501✦ dedicate this word
root שמח · value 758✦ dedicate this word

Let my tongue cleave to the roof of my mouth, If I remember you not; If I set not Jerusalem Above my chiefest joy.

verse value 3824

Insights
Verse structure: 10 words, 49 letters. The shortest word is "above" (עַ֝֗ל, 2 letters) and the longest is "let·my·tongue·cling" (תִּדְבַּֽק־לְשׁוֹנִ֨י, 9 letters). Words sharing gematria 72: if·not, if·not. 3 words in this verse appear nowhere else in Psalms. Unique to this verse in Psalms (hapax): "let·my·tongue·cling" (תִּדְבַּֽק־לְשׁוֹנִ֨י), "I·remember·you" (אֶ֫זְכְּרֵ֥כִי), "I·set" (אַ֭עֲלֶה). The root אם appears 2 times in this verse. 9 unique roots are used. Frequent roots: "above" (root על, 120x in Psalms); "I·remember·you" (root זכר, 64x in Psalms); "my·joy" (root שמח, 55x in Psalms). The etnachta (major mid-verse pause) falls on 'Jerusalem', dividing the verse into phrases of 7 and 3 words. Full calculation: תִּדְבַּֽק־לְשׁוֹנִ֨י [let·my·tongue·cling] (902) + לְחִכִּי֮ [to·my·palate] (68) + אִם־לֹ֢א [if·not] (72) + אֶ֫זְכְּרֵ֥כִי [I·remember·you] (258) + אִם־לֹ֣א [if·not] (72) + אַ֭עֲלֶה [I·set] (106) + אֶת־יְרוּשָׁלִַ֑ם [Jerusalem] (987) + עַ֝֗ל [above] (100) + רֹ֣אשׁ [head·of] (501) + שִׂמְחָתִֽי [my·joy] (758) = 3824.
Rashi
"If I do not bring up Jerusalem" — The remembrance of the mourning of its destruction I shall bring up to mention at the head of every joyous occasion of mine.
Ibn Ezra
"Let it cleave" — the sense explains "my tongue," for the tongue is what utters songs. "If I remember you not" — [meaning remember] in speech, as in "and you shall no longer mention the burden of Hashem" (Jeremiah 23:36). "If I set not [Jerusalem above]" — the sense is that he places the memory of Jerusalem first, above the height of his joy.
Radak
"Let my tongue cleave" — so that it will not be able to speak or sing a song. "If I do not remember you" — [meaning:] I will remember your destruction and mourn over it, and I will not sing above the height of my joy; when I rejoice in any joy, I will remember the mourning of Jerusalem, and I will raise it above the height of the joy. Up to this point are the words of the Levites, and the last three verses are the words of the psalmist; and while he was prophesying about the Babylonian exile, he saw by the holy spirit the exile of the Second Temple, and he said:
Metzudat David
"Let it cleave" — Let my tongue cleave to my palate so that I cannot speak, if I do not mention you always, and if I do not raise the remembrance of Jerusalem at the height of my joy — that is to say, at the beginning of the joy I will set for it a remembrance, so that I do not forget it at the peak intensity of the joy.
Metzudat Zion
"Above" (lit. "al rosh") — like "berosh" (at the head, i.e., foremost), as in "you stand upon [al] your sword" (Ezekiel 33:26), whose true sense is "with your sword" [i.e., "al" used in place of "be-"].
7 · · dedicate this verse

זְכֹ֤ר יְהֹוָ֨ה לִבְנֵ֬י אֱד֗וֹם אֵת֮ י֤וֹם יְֽר֫וּשָׁלִָ֥ם הָ֭אֹ֣מְרִים עָ֤רוּ עָ֑רוּ עַ֝֗ד הַיְס֥וֹד בָּֽהּ

root זכר · value 227✦ dedicate this word
root יהוה · value 26✦ dedicate this word
root בן · value 92✦ dedicate this word
root אדם · value 51✦ dedicate this word
root את · value 401✦ dedicate this word
root יום · value 56✦ dedicate this word
root ירושלם · value 586✦ dedicate this word
root אמר · value 296✦ dedicate this word
root ערה · value 276✦ dedicate this word
root ערה · value 276✦ dedicate this word
root עד · value 74✦ dedicate this word
root יסוד · value 85✦ dedicate this word
root בה · value 7✦ dedicate this word

Remember, O Hashem, against the children of Edom The day of Jerusalem; Who said: 'Rase it, rase it, Even to its foundation.'

verse value 2453

Insights
Verse structure: 13 words, 47 letters. Notable word values: "Hashem" (יְהֹוָ֨ה) = 26, the value of the divine name Hashem. The shortest word is "unto" (עַ֝֗ד, 2 letters) and the longest is "Jerusalem" (יְֽר֫וּשָׁלִָ֥ם, 6 letters). Words sharing gematria 276: raze, raze. 1 word in this verse appears nowhere else in Psalms. Unique to this verse in Psalms (hapax): "the·foundation" (הַיְס֥וֹד). The root ערה appears 2 times in this verse. 12 unique roots are used. Frequent roots: "Hashem" (root יהוה, 688x in Psalms); "day·of" (root יום, 121x in Psalms); "who·said" (root אמר, 111x in Psalms). The etnachta (major mid-verse pause) falls on 'raze', dividing the verse into phrases of 10 and 3 words.
Rashi
"Raze it" — Heb. עָרוּ is an expression of destruction, and so (Jer. 51:58): “The broad walls of Babylon shall be overthrown (תתערער),” and so (Hab. 3:13): “baring (ערות) the foundation.” It is used only for something whose roots are uprooted from the ground.
Ibn Ezra
"Remember" — this is not speaking of the exile of Titus, as many have thought, for afterward it mentions "the daughter of Babylon." Moreover, the wicked Titus was not of the seed of Edom, for the people of Rome are, by [various] proofs, Greeks. Rather, [this refers to the time] when Edom was under the hand of Israel, [and] they rejoiced at Israel's downfall; and so it is written in the book of Obadiah: "Be glad and rejoice, O daughter of Edom," and the disgrace with which the Edomites disgraced Israel on the day Jerusalem was captured and the Temple burned by the Chaldeans, was harder for Israel than its own distress. And so it says, "and do not enlarge your mouth" (Obadiah 1:12) — and this is [the meaning of] "remember" — [namely] those who said to the Babylonians, "Lay it bare, and raze the foundations of Jerusalem." Now, "aru" [raze] is from the same root as "pit'han ye'areh" [her opening shall be laid bare — an example of the root meaning "to pour out / lay bare"], and it ought to have been on the pattern of "kullo ma'aseikhem" [all of it is your doing], with the resh lacking its dagesh, as is customary; and because it stands at the end of the verse, the word's stress shifted to the penultimate syllable, like "kalu, ve'ashan kalu" ["they are consumed, consumed like smoke"] (Psalms 37:20). And because in the second occurrence of "aru" the stress fell on the first letter, therefore the first "aru" also reverted to having its stress on the penultimate syllable.
Radak
"The day of Jerusalem" — the day of the destruction of Jerusalem, when they [the enemies] would say to one another, "Raze it, raze it, even to its foundation" — that is, destroy and topple the buildings of Jerusalem until you expose the foundation that is in it.
Metzudat David
"Remember, etc." — To repay them recompense for this. "The day of Jerusalem" — What they did at the time of the destruction of Jerusalem, when they said to the Babylonians: 'Destroy and demolish until you expose its very foundation,' and incited them to uproot everything.
Metzudat Zion
"Rase it" — an expression of destruction and ruin, as in "laying bare the foundation" (Habakkuk 3).
Malbim
'Remember, Hashem' — meaning, if I always remember Jerusalem and mourn over her, how much more so should You, Hashem, remember, against the children of Edom, the day of the destruction of Jerusalem, in which they helped to destroy it.

Cross-references: Obadiah 1:10; Lamentations 4:21

8 · · dedicate this verse

בַּת־בָּבֶ֗ל הַשְּׁד֫וּדָ֥ה אַשְׁרֵ֥י שֶׁיְשַׁלֶּם־לָ֑ךְ אֶת־גְּ֝מוּלֵ֗ךְ שֶׁגָּמַ֥לְתְּ לָֽנוּ

root בבל · value 436✦ dedicate this word
root שדד · value 324✦ dedicate this word
root אשר · value 511✦ dedicate this word
root שלם · value 730✦ dedicate this word
root גמול · value 500✦ dedicate this word
root גמל · value 773✦ dedicate this word
root לנו · value 86✦ dedicate this word

O daughter of Babylon, that are to be destroyed; Happy shall he be, who repays you As you have served us.

verse value 3360

Insights
Verse structure: 7 words, 37 letters. Notable word values: "to·us" (לָֽנוּ) = 86, equal to Elohim. The shortest word is "to·us" (לָֽנוּ, 3 letters) and the longest is "who·repays·you" (שֶׁיְשַׁלֶּם־לָ֑ךְ, 7 letters). 5 words in this verse appear nowhere else in Psalms. Unique to this verse in Psalms (hapax): "daughter·of·Babylon" (בַּת־בָּבֶ֗ל), "the·despoiled" (הַשְּׁד֫וּדָ֥ה), "who·repays·you" (שֶׁיְשַׁלֶּם־לָ֑ךְ). 7 unique roots are used. Frequent roots: "happy·is" (root אשר, 101x in Psalms). The etnachta (major mid-verse pause) falls on 'who·repays·you', dividing the verse into phrases of 4 and 3 words. Full calculation: בַּת־בָּבֶ֗ל [daughter·of·Babylon] (436) + הַשְּׁד֫וּדָ֥ה [the·despoiled] (324) + אַשְׁרֵ֥י [happy·is] (511) + שֶׁיְשַׁלֶּם־לָ֑ךְ [who·repays·you] (730) + אֶת־גְּ֝מוּלֵ֗ךְ [your·recompense] (500) + שֶׁגָּמַ֥לְתְּ [as·you·have·dealt] (773) + לָֽנוּ [to·us] (86) = 3360.
Ibn Ezra
"Daughter" [of Babylon] — the words of the psalmist, praying that the daughter of Babylon will be plundered.
Radak
"O daughter of Babylon" — now he returns to [addressing] the kingdom of Babylon, and says that it will be despoiled. And it says, "Happy shall he be who repays you" — this is Darius the Mede, who destroyed Babylon.
Metzudat David
"That is to be plundered" — You whose end it is to be plundered by Darius the Mede. "Happy is he who repays" — Praised and lauded will be the one who repays you with the recompense you deserve, according to what you did to us.
Metzudat Zion
"Daughter of Babylon" — the community of Babylon. "That are to be destroyed" — from the language of plunder and robbery. "As you have served us" — sometimes the language of "gemul" (recompense) is used for the initial doing of harm [not only its repayment], as in "and if you deal [evil] against me" (Joel 4:4).
Malbim
'O daughter of Babylon' — now, Babylon had already been despoiled at that time by Cyrus; so he says, 'O daughter of Babylon, the despoiled one' — Hashem has already begun to repay you. Happy is he who repays [you], not only for the act of destruction, but also '[for] your recompense with which you dealt with us' (for the concept of 'recompense' [gemul] refers to one who does a thing out of an emotional response — love or hatred) — meaning, that what you did to us was out of recompense and an emotional response of hatred and enmity, and so shall He repay you with hatred and vengeance. And with this —
9 · · dedicate this verse

אַשְׁרֵ֤י שֶׁיֹּאחֵ֓ז וְנִפֵּ֬ץ אֶֽת־עֹלָלַ֗יִךְ אֶל־הַסָּֽלַע

root אשר · value 511✦ dedicate this word
root אחז · value 326✦ dedicate this word
root נפץ · value 226✦ dedicate this word
root עולל · value 561✦ dedicate this word
root סלע · value 196✦ dedicate this word

Happy shall he be, who takes and dashes your little ones Against the rock.

verse value 1820

Insights
Verse structure: 5 words, 26 letters. Verse gematria: 1820 is divisible by 26, the value of the divine name Hashem. The shortest word is "happy·is" (אַשְׁרֵ֤י, 4 letters) and the longest is "your·little·ones" (אֶֽת־עֹלָלַ֗יִךְ, 7 letters). 4 words in this verse appear nowhere else in Psalms. Unique to this verse in Psalms (hapax): "who·seizes" (שֶׁיֹּאחֵ֓ז), "and·dashes" (וְנִפֵּ֬ץ), "your·little·ones" (אֶֽת־עֹלָלַ֗יִךְ). 5 unique roots are used. Frequent roots: "happy·is" (root אשר, 101x in Psalms). Full calculation: אַשְׁרֵ֤י [happy·is] (511) + שֶׁיֹּאחֵ֓ז [who·seizes] (326) + וְנִפֵּ֬ץ [and·dashes] (226) + אֶֽת־עֹלָלַ֗יִךְ [your·little·ones] (561) + אֶל־הַסָּֽלַע [against·the·rock] (196) = 1820.
Ibn Ezra
"Happy" — he tells of the cruelty of their heart, in that they dashed Israel's infants [against the rock]; this is why, above [in the previous verse], it mentions "your recompense."
Radak
"Happy shall he be who seizes" — in a manner of cruelty, just as they had been cruel toward Israel.
Metzudat David
"Who seizes" — Praised and lauded will be the one who takes hold of your little ones with his hand and dashes them against the rock.
Metzudat Zion
"And dashes" — an expression of breaking, together with crushing and scattering, as in "and the pitchers were shattered" (Judges 7:19). "Your little ones" — your young children, as in "babes and sucklings" (above, Psalm 8).
Malbim
'Happy is he who seizes and dashes your little ones against the rock' — as it is written, 'And I will cut off from Babylon name and remnant' (Isaiah 14:22); and this was fulfilled then, in the second year, when Cyrus went up against it a second time and destroyed it completely, and killed all the people found in it.

Cross-references: II Kings 8:12; Isaiah 13:16; Hosea 14:1; Nahum 3:10

Dedicate this chapter — $72