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1 O God, my heart is fixed; I will sing and give praise, even with my glory. 2 Awake, psaltery and harp: I myself will awake early. 3 I will praise thee, O LORD, among the people: and I will sing praises unto thee among the nations. 4 For thy mercy is great above the heavens: and thy truth reacheth unto the clouds. 5 Be thou exalted, O God, above the heavens: and thy glory above all the earth; 6 That thy beloved may be delivered: save with thy right hand, and answer me. 7 God hath spoken in his holiness; I will rejoice, I will divide Shechem, and mete out the valley of Succoth. 8 Gilead is mine; Manasseh is mine; Ephraim also is the strength of mine head; Judah is my lawgiver; 9 Moab is my washpot; over Edom will I cast out my shoe; over Philistia will I triumph. 10 Who will bring me into the strong city? who will lead me into Edom? 11 Wilt not thou, O God, who hast cast us off? and wilt not thou, O God, go forth with our hosts? 12 Give us help from trouble: for vain is the help of man. 13 Through God we shall do valiantly: for he it is that shall tread down our enemies.
[AD 386] Cyril of Jerusalem on Psalms 108:4
Of the Greeks, some have said that God is the soul of the world; others that his power does not extend to earth but only to heaven. Some, laboring under a similar delusion, misinterpret the text “and your faithfulness to the skies” and have dared to limit the providence of God to the skies and heaven and to alienate from God the things on earth, forgetting the psalm that says, “If I go up to the heavens, you are there; if I sink to the underworld, you are present there.” For if there is nothing higher than heaven and the underworld is deeper than the earth, he who rules the lower regions reaches the earth also.

[AD 430] Augustine of Hippo on Psalms 108:5
But, when once they had become submissive after reflecting on that thought, they would find the church promised to all nations, not in slanders and in human fables but in the sacred Books, and they would see it set before their eyes. Then they would not doubt that Christ, as promised in those Books, though unseen, is now above the heavens. Why in the world, then, should I begrudge them salvation, by recalling my colleagues from this sort of fatherly duty, when it is through this that we see many renouncing their former blindness? Yet some who believed, without seeing, that Christ is raised above the heavens, still denied his glory over all the earth, which they did see, although the prophet, with strong significance, included both in one sentence when he said, “Be exalted, O God, above the heavens, and your glory over all the earth.”

[AD 430] Augustine of Hippo on Psalms 108:5
Therefore, nothing needs to be said in this place about those who censure and blaspheme Christ (since we are speaking about his glory, by which he was glorified in the world), since the Holy Spirit glorified him with true glory only in the holy catholic church. For elsewhere, that is, either among the heretics or among certain pagans, he cannot be truly glorified on earth, even when he seems to be repeatedly praised. His true glory, therefore, in the catholic church, is sung by the prophet in this way: “Be exalted above the heavens, O God, and above all the earth your glory.” And so, because after his exaltation the Holy Spirit will come and will glorify him, this the sacred psalm, this the Only-Begotten himself promised would happen, which we see fulfilled.