To the chief Musician
natsach  (naw-tsakh')
to glitter from afar, i.e. to be eminent (as a superintendent, especially of the Temple services and its music)

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Altaschith
'Al tashcheth  (al tash-kayth')
Thou must not destroy; probably the opening words to a popular song -- Al-taschith.

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A Psalm
mizmowr  (miz-more')
instrumental music; by implication, a poem set to notes -- psalm.

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or Song
shiyr  (sheer)
a song; abstractly, singing -- musical(-ick), sing(-er, -ing), song.

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of Asaph
Acaph  (aw-sawf')
collector; Asaph, the name of three Israelites, and of the family of the first -- Asaph.

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Unto thee O God
'elohiym  (el-o-heem')
angels, exceeding, God (gods)(-dess, -ly), (very) great, judges, mighty.

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do we give thanks
yadah  (yaw-daw')
cast (out), (make) confess(-ion), praise, shoot, (give) thank(-ful, -s, -sgiving).

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unto thee do we give thanks
yadah  (yaw-daw')
cast (out), (make) confess(-ion), praise, shoot, (give) thank(-ful, -s, -sgiving).

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for that thy name
shem  (shame)
an appellation, as a mark or memorial of individuality; by implication honor, authority, character -- + base, (in-)fame(-ous), named(-d), renown, report.

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is near
qarowb  (kaw-robe')
near (in place, kindred or time)

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thy wondrous works
pala'  (paw-law')
perhaps to separate, i.e. distinguish; by implication, to be (causatively, make) great, difficult, wonderful

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declare
caphar  (saw-far')
to score with a mark as a tally or record, i.e. (by implication) to inscribe, and also to enumerate; intensively, to recount, i.e. celebrateNew American Standard Bible
For the choir director; set to Al-tashheth. A Psalm of Asaph, a Song. We give thanks to You, O God, we give thanks, For Your name is near; Men declare Your wondrous works.

King James Bible
<or Song of Asaph.>> Unto thee, O God, do we give thanks, unto thee do we give thanks: for that thy name is near thy wondrous works declare.

Holman Christian Standard Bible
For the choir director: "Do Not Destroy." A psalm of Asaph. A song. We give thanks to You, God; we give thanks to You, for Your name is near. People tell about Your wonderful works."

International Standard Version
We praise you, God! We praise you —your presence draws near— as we declare your wonderful deeds.

NET Bible
For the music director; according to the al-tashcheth style; a psalm of Asaph; a song. We give thanks to you, O God! We give thanks! You reveal your presence; people tell about your amazing deeds.

Aramaic Bible in Plain English
We praise you, oh God, we praise you, and we call upon your Name; we have narrated all your wonders.

GOD'S WORD® Translation
[For the choir director; [al tashcheth]; a psalm by Asaph; a song.] We give thanks to you, O God; we give thanks. You are present, and your miracles confirm that.

King James 2000 Bible
Unto you, O God, do we give thanks, unto you do we give thanks: for that your name is near, your wondrous works declare.

Links

Psalm 75:1
Psalm 75:1 NIV
Psalm 75:1 NLT
Psalm 75:1 ESV
Psalm 75:1 NASB
Psalm 75:1 KJV