The interpretation timeline
Psalm 95:2 Douay-Rheims

Sing ye to the Lord and bless his name: shew forth his salvation from day to day.

A.D. 165 – 1849 5 witnesses 7 excerpts

Patristic

before A.D. 750
165
A.D.
Justin Martyr Patristic
A.D. 100–165
“Then Trypho said, "We know that you quoted these because we asked you. But it does not appear to me that this Psalm which you quoted last from the words of David refers to any other than the Father and Maker of the heavens and earth. You, however, asserted that it referred to Him who suffered, whom you also are eagerly endeavouring to prove to be Christ." And I answered, "Attend to me, I beseech you, while I speak of the statement which the Holy Spirit gave utterance to in this Psalm; and you shall know that I speak not sinfully, and that we are not really bewitched; for so you shall be enabled of yourselves to understand many other statements made by the Holy Spirit. 'Sing unto the Lord a new song; sing unto the Lord, all the earth: sing unto the Lord, and bless His name; show forth His salvation from day to day, His wonderful works among all people.' He bids the inhabitants of all the earth, who have known the mystery of this salvation, i.e., the suffering of Christ, by which He saved them, sing and give praises to God the Father of all things, and recognise that He is to be praised and feared, and that He is the Maker of heaven and earth, who effected this salvation in behalf of the human race, who also was crucified and was dead, and who was deemed worthy by Him (God) to reign over all the earth. As [is clearly seen] also by the land into which [He said] He would bring [your fathers]; [for He thus speaks]: 'This people [shall go a whoring after other gods], and shall forsake Me, and shall break my covenant which I made with them in that day; and I will forsake them, and will turn away My face from them; and they shall be devoured, and many evils and afflictions shall find them out; and they shall say in that day, Because the Lord my God is not amongst us, these misfortunes have found us out. And I shall certainly turn away My face from them in that day, on account of all the evils which they have committed, in that they have turned to other gods.'”
Source
339
A.D.
c. A.D. 260–339
“In Psalm 95 [LXX] the coming of the Lord to humankind is again foretold, and that a new song, by which is meant the new covenant, will be sung by the whole earth at his coming, not by the Jewish race; and that the good news will no longer be for Israel but for all the nations, since it says that the Lord who is to come will be their King. Who could this be but God the Word, who, intending to judge the world in righteousness and the human race in truth, considers all people in the world equally worthy of his call, and consequently of the salvation of God?”
Source
430
A.D.
Augustine of Hippo Patristic
A.D. 354–430
“Rightly, then, are we stirred by the voice of the psalmist as by the sound of a heavenly trumpet, when we hear, "Sing to the Lord a new canticle; sing to the Lord, all the earth. Sing to the Lord and bless his name." Let us recognize, then, and proclaim the "Day born of the day" who became incarnate on this day. The Day is the Son born of the Father, the eternal Day, God of God, Light of Light; he is our salvation, of whom the psalmist says elsewhere, "May God have mercy on us and bless us: may he cause the light of his countenance to shine on us. That we may know your way on earth; your salvation in all nations." The idea expressed in "on the earth" he expanded to "in all nations" and the significance of "your way" he repeated in "your salvation." We recall that the Lord said, "I am the way." And only recently, when the Gospel was read, we heard that the thrice-blessed old man, Simeon, had received a divine promise that he would not experience death until he had seen Christ the Lord and that, when he had taken the infant Christ into his hands and had recognized the mighty little One, he said, "Now dismiss your servant, O Lord, according to your word, in peace, because my eyes have seen your salvation." Gladly, then, let us announce his salvation, this Day born of the eternal Day, let us declare "his glory among the Gentiles, his wonders among all people." He lies in a manger, but he holds the world in his hand; he is nourished at the breast, but he feeds the angels; he is wrapped in swaddling clothes, but he clothes us with immortality; he is suckled but is adored; he does not find room in the inn, but he makes a temple for himself in the hearts of believers. For Strength took on weakness that weakness might become strong. Therefore, let us marvel at rather than despise his human birth; from it let us learn the lowliness that such loftiness assumed for our sake. Then let us enkindle our love so that we may come to his eternal day.”
Source
“We have said what house it is; now we must say after what captivity. The psalm shows you this too. Carry on a little: "Sing to the Lord a new song, sing to the Lord, all the earth. Sing to the Lord, bless his name, proclaim from day to day the gospel of his salvation. Proclaim among the nations his wonders, in all peoples his glory. Since all the gods of the nations are demons." There you are again, that is under whom the house was held in captivity. From the first transgression of the first human being, the whole human race, being born in the shackles of sin, was the property of the devil who had conquered it. After all, if we had not been held in captivity, we would not have needed a redeemer.”
Source
“"Sing unto the Lord, bless His Name: be telling good tidings of His salvation from day to day" (ver. 2). How doth the building increase? "Be telling," he saith, "good tidings of His salvation from day to day." Let it be preached from day to day; from day to day, he saith, let it be built; let My house, saith God, increase. And as if it were said by the workmen, Where dost Thou command it to be built? Where dost Thou will Thy house to increase? Choose for us some level, spacious spot, if Thou wish an ample house built Thee. Where dost Thou bid us be telling good tidings from day to day? He showeth the place: "Declare His honour unto the heathen:" His honour, not yours. O ye builders, "Declare His honour unto the heathen." Should ye choose to declare your own honour, ye shall fall: if His, ye shall be built up, while ye are building. Therefore they who choose to declare their own honour, have refused to dwell in that house; and therefore they sing not a new song with all the earth. For they do not share it with the whole round world; and hence they are not building in the house, but have erected a whited wall. How sternly doth God threaten the whited wall? There are innumerable testimonies of the Prophets, whence He curseth the whited wall. What is the whited wall, save hypocrisy, that is, pretence? Without it is bright, within it is dirt. ...A certain person, speaking of this whited wall, said thus: "as, if in a wall which standeth alone, and is not connected with any other walls, you make a door, whoever enters, is out of doors; so in that part which hath refused to sing the new song together with the house, but hath chosen to build a wall, and that a whited one, and not solid, what availeth it that it hath a door?" If thou enterest, thou art found to be without. For because they themselves did not enter by the door, their door also doth not admit them within. For the Lord saith, "I am the door: by Me they enter in." ..."Declare His honour unto the heathen." What is, unto the heathen? Perhaps by nations but a few are meant: and that part which hath raised the whited wall hath still somewhat to say: why are not Getulia, Numidia, Mauritania, Byzacium, nations? Provinces are nations. Let the word of God take the word from hypocrisy, from the whited wall, building up the house over the whole world. It is not enough to say, "Declare His honour unto the heathen;" that thou mayest not think any nations excepted, he addeth, "and His wonders unto all people."”
Source

Post-Reformation

c. 1650 – 1900
1771
A.D.
John Gill Reformed
1697–1771
“Sing unto the Lord,.... Which is repeated to show the vehemency of the speaker, and the importance of the work exhorted to: this being the third time that the word Lord or Jehovah is mentioned, have led some to think of the trinity of Persons, Father, Son, and Spirit, the one only Jehovah, to whom the new song of salvation is to be sung, because of their joyful concern in it; the Father has contrived it, the Son has effected it, and the Spirit applies it: bless his name: speak well of him, whose name is excellent and glorious, sweet and precious; even every name of his, Jesus, Immanuel, &c. proclaim him the ever blessed God, as he is, as comes before with the blessings of goodness, and made most blessed for ever; as Mediator, ascribe all spiritual blessings to him, and bless him for them, and give him the glory and honour of them: show forth his salvation from day today; the salvation of his people he undertook, and has completed; publish that as a piece of good news, as glad tidings; so the word (n) used signifies; even evangelizing, or preaching the Gospel; for this is the Gospel, the sum and substance of it, salvation by Jesus Christ: this may be considered as directed to ministers of the Gospel, whose work it is, more peculiarly, to show forth the salvation of Christ; to point him out as a Saviour to sensible sinners; to declare that this salvation is done, is wrought out for sinners, is full and complete; is to be had freely, and to be had now; and this is to be done from day today, one Lord's day after another, frequently and constantly, when opportunity serves. (n) "evangelizate", Montanus, Tigurine version, Musculus, Cocceius, Michaelis.”
Source
1849
A.D.
1774–1849
“Lord….his name. As ver. 7., and 8. The plural and singular denote the Trinity. (Worthington) — Shew forth. Septuagint, “evangelize,” bene nuntiate. (St. Augustine) — “Tell the glad tidings” of salvation incessantly. This preaching shall continue for ever. (Haydock)”
Modern · 1953 →

The in-app commentary runs from the Fathers to the early-modern record, then stops — that's where the public-domain sources end, not where the reading does. For the modern reading, follow the sources directly.