At least 21 verses in Scripture record instances of shouting directly connected with singing or playing musical instruments. These passages relate instances of divine, angelic, and human shouting.
One passage clearly records an instance of divine shouting connected directly to music.
Psalm 47:5 God is gone up with a shout, the LORD with the sound of a trumpet.
Not only does Scripture record divine shouting connected directly to music, but also it records angelic shouting connected directly with music.
Job 38:7 When the morning stars sang together, and all the sons of God shouted for joy?
In addition to passages recording divine and angelic shouting directly connected with music, many passages record human shouting directly connected with music. All the major sections of the OT contain at least one such passage.
Exodus 32:17 And when Joshua heard the noise of the people as they shouted, he said unto Moses, There is a noise of war in the camp. 18 And he said, It is not the voice of them that shout for mastery, neither is it the voice of them that cry for being overcome: but the noise of them that sing do I hear.
2 Sam. 6:15 So David and all the house of Israel brought up the ark of the LORD with shouting, and with the sound of the trumpet.
1 Chr. 15:28 Thus all Israel brought up the ark of the covenant of the LORD with shouting, and with sound of the cornet, and with trumpets, and with cymbals, making a noise with psalteries and harps.
2 Chr. 15:14 And they sware unto the LORD with a loud voice, and with shouting, and with trumpets, and with cornets.
Ezr. 3:11 And they sang together by course in praising and giving thanks unto the LORD; because he is good, for his mercy endureth for ever toward Israel. And all the people shouted with a great shout, when they praised the LORD, because the foundation of the house of the LORD was laid.
Ezr. 3:12 But many of the priests and Levites and chief of the fathers, who were ancient men, that had seen the first house, when the foundation of this house was laid before their eyes, wept with a loud voice; and many shouted aloud for joy:
Ezr. 3:13 So that the people could not discern the noise of the shout of joy from the noise of the weeping of the people: for the people shouted with a loud shout, and the noise was heard afar off.
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Ps. 5:11 But let all those that put their trust in thee rejoice: let them ever shout for joy, because thou defendest them: let them also that love thy name be joyful in thee.
Ps. 32:11 Be glad in the LORD, and rejoice, ye righteous: and shout for joy, all ye that are upright in heart.
Ps. 35:27 Let them shout for joy, and be glad, that favour my righteous cause: yea, let them say continually, Let the LORD be magnified, which hath pleasure in the prosperity of his servant.
Ps. 47:1 <To the chief Musician, A Psalm for the sons of Korah.> O clap your hands, all ye people; shout unto God with the voice of triumph.
Ps. 65:13 The pastures are clothed with flocks; the valleys also are covered over with corn; they shout for joy, they also sing.
Ps. 132:9 Let thy priests be clothed with righteousness; and let thy saints shout for joy.
Ps. 132:16 I will also clothe her priests with salvation: and her saints shall shout aloud for joy.
Isa. 12:6 Cry out and shout, thou inhabitant of Zion: for great is the Holy One of Israel in the midst of thee.
Isa. 42:11 Let the wilderness and the cities thereof lift up their voice, the villages that Kedar doth inhabit: let the inhabitants of the rock sing, let them shout from the top of the mountains.
Isa. 44:23 Sing, O ye heavens; for the LORD hath done it: shout, ye lower parts of the earth: break forth into singing, ye mountains, O forest, and every tree therein: for the LORD hath redeemed Jacob, and glorified himself in Israel.
Jer. 31:7 For thus saith the LORD; Sing with gladness for Jacob, and shout among the chief of the nations: publish ye, praise ye, and say, O LORD, save thy people, the remnant of Israel.
Zeph. 3:14 Sing, O daughter of Zion; shout, O Israel; be glad and rejoice with all the heart, O daughter of Jerusalem.
This wealth of biblical data shows the musical importance of shouting. Commands of worldwide scope (Ps. 47:1; Is. 44:23) especially highlight that importance.
Not everyone can sing well, but almost everyone who can speak can shout. Given that Scripture plainly teaches the musical importance of shouting for every believer (Ps. 5:11, 32:11, 35:27), churches would do well to add regular corporate shouting of praise to God (cf. Ezra 3:11) to their other musical worship activities.