Psalms 81:1

JPS_ASV_Byz⁽ⁱ⁾ ¹ For the Leader; upon the Gittith. A Psalm of Asaph. (81:2) Sing aloud unto God our strength; shout unto the God of Jacob.

Online Parallel Study Bible

Psalms 81:1 An exhortation to a solemn praising of God.
Psalms 81:4 God challenges that duty by reason of his benefits.
Psalms 81:8 God, exhorting to obedience, complains of their disobedience, which proves their own hurt.

A.M. 3489. B.C. 515. (Title.) Gittith.
Psalms 8:1
A Psalm.Some suppose this Psalm to have been composed to be sung at the feast of Trumpets, before the time of David; and others think it was written at the removal of the ark to Mount Zion; but the most probable opinion is, that it was sung at the dedication of the second temple.
of Asaph. or, for Asaph.
Sing.
Psalms 67:4; Jeremiah 31:7
our strength.
Psalms 18:1; Psalms 18:2; Psalms 28:7; Psalms 52:7; Philippians 4:13
make.
Psalms 33:1-3; Psalms 46:1-7; Psalms 66:1; Psalms 100:1; Psalms 100:2
the God.
Psalms 46:11; Genesis 50:17; Matthew 22:32